Welcome to the Department of Mathematics at Rutgers University, part of the School of Arts and Sciences (SAS). This page describes programs sponsored by the Department of Mathematics for teachers of mathematics and for pre-college students with a strong interest in mathematics.
| 04 | 11407 | Woodward, Christopher | Lecture | TF2 | 1020 A - 1140 | BE-250 | LIV |
Prerequisites:
Text: Linear Algebra (4th ed.), by Friedberg, Insel and Spence,
Prentice Hall, 2003 ISBN 0-13-008451-4. For this section 04, any recent edition of the textbook should be sufficient.
| TF2 | 1020 A - 1140 | BE-250 | LIV |
The course is strongly based on Math 250. However, we'll work axiomatically, starting from the abstract notions of vector space and of linear transformation. Much of the homework and many of the exam and quiz problems will require you to write precise proofs, building on your proof-writing experience in Math 300. From this more abstract viewpoint, we'll be developing linear algebra far beyond Math 250, with new insight and new applications.
Class attendance is very important. A lot of what we do in class will involve collective participation. We will cover the topics indicated in the syllabus below, but the dates that we cover some of the topics might be adjusted during the semester, depending on class discussion, etc. Such adjustments, along with the almost-weekly homework assignments, will be announced in class and also posted on this webpage, so be sure to check this webpage regularly. Absences from a single class due to minor illnesses should be self-reported using the university system; for longer absences, students should email me with the situation. I reserve the right to lower the course grade up to one full letter grade for poor attendance.
Make-ups for exams are generally not given; if a student has an extremely good reason (e.g. documented medical emergency) I may re-arrange the grading scheme to accomodate.
Problem sets are due on most Tuesdays. There are no problems due on the two midterm-exam Tuesdays.
Note that we will cover significant material from all the chapters in the book, Chapters 1-7, but we will cover Chapter 7 before Chapter 6. This is because the material in Chapter 7 is a natural continuation of the material in Chapter 5 on the theory of eigenvalues, eigenvectors and diagonalizability. Chapter 6 also concerns eigenvalues, eigenvectors and diagonalizability, but this time, based on a generalization of the theory of dot products.
Quizzes may be given at the ends of a few class sessions. The dates of these quizzes, and the topics covered, will be announced in advance.
Grading policy: First midterm exam: 100 points; Second midterm exam: 100 points; Problem sets and quizzes: 100 points; Final exam: 200 points (Total: 500 points).
| Week | Lecture dates | Sections | topics |
|---|---|---|---|
| 1 | 9/4 (T) | Chapter 1 | Abstract vector spaces & subspaces |
| 2 | 9/7, 9/11 | Chapter 1 | Span of subsets, linear independence |
| 3 | 9/14, 9/18 | Chapter 1 | Bases and dimension |
| 4 | 9/21, 9/25 | Chapter 2 | Linear transformations |
| 5 | 9/28, 10/2 | Chapter 2 | Change of basis, dual spaces |
| 6 | 10/5, 10/9 | Ch. 1-2 | Review and Exam 1 (10/9) |
| 7 | 10/12, 10/16 | Chapter 3 | Rank and Systems of Linear Equations |
| 8 | 10/19, 10/23 | Chapter 4 | Determinants and their properties |
| 9 | 10/26, 10/30 | Chapter 5 | Eigenvalues/eigenvectors |
| 10 | 11/2, 11/6 | Chapter 5 | Diagonalization, Markov Chains |
| 11 | 11/9, 11/13 | Chapter 6 | Inner Product spaces |
| 12 | 11/16 | Chapter 6 | Unitary and Orthogonal operators |
| 13 | 11/21, 11/27 | Ch.3,4,5,7 | Review and Exam 2 (11/27) |
| 14 | 11/30, 12/4 | Chapter 7 | Orthogonal diagonalization |
| 15 | 12/7, 12/11 | Chapter 7 | Jordan canonical form |
| 17 | 12/21 (Fri) | 8-11am | Final Exam Location TBA |
The exam dates are listed in the schedule above. Any conflict (such as with a religious holiday) should be reported to me at the beginning of the semester, so that the exam may be re-scheduled.
Students with disabilities requesting accommodations must follow the procedures outlined at https://ods.rutgers.edu/students/applying-for-services
All Rutgers students are expected to be familiar with and abide by the academic integrity policy. Violations of the policy are taken very seriously. In particular, your work should be your own; you are responsible for properly crediting all help with the solution.
The Problem Sets are available in the assignments directory on the course Sakai site.
Problem sets should be hand-written in reasonably clear writing, with an explanation of any assistance given. Type-written assignments are allowable only by special arrangement (disability etc.) Scans of problem sets may be submitted electronically in emergencies (illness or accident) by upload to Sakai.
Some basic writing guidelines are as follows. Please write in complete sentences; avoid starting each sentence with a symbol; ensure that each variable or notation is defined; number sentences or formulas as necessary so that you may refer back to them. To prove a "for all x", usually begin with "Let x be a ...". To prove an "there exists x" statement, you must construct a particular x satisfying the given property, so "Define x to be ...". To prove a that property A implies property B, begin with "Assume Property A...." Then deduce Property B. Sets are equal if they have the same elements; functions are equal if they have the same values; to prove something does not satisfy a list of axioms; it suffices to show that one of the axioms fails. On both problem sets and exams you may use properties in the text or class (referring to them by page or date) if they come before the problem you are solving in the development of the material.
Problems in pdf. Solutions in pdf.)
Problems in pdf. Solutions in pdf.)
Problems in pdf. Solutions in pdf.)
Problems in pdf. Solutions in pdf.)
Practice problems in pdf for the first midterm. Last year's exam with Answers.
Problem in pdf.)
(Problem in pdf)
(Problems in pdf)
Problems in pdf)
Problems in pdf.
Answers and practice problems for the final.
Pratice problems for the second exam:
(Problems in pdf)
| Sept. 13 | 1.2 #17; 1.3 #19,23; 1.4 #11,13; 1.5 #9,15 |
| Sept. 20 | 1.6 # 20,21,26,29; 1.7 #5,6 |
| Sept. 27 | 2.1 #3,11,28; 2.2 #4; 2.3 #12; 2.4 #15,17 |
| October 4 | 2.5 #3(d),7(a,b),13; 2.6 #5,10; Show that F[x]* ≅ F[[x]]. |
| October 18 | 3.1 #6,12; 3.2 #5(b,d,h),17; 3.3 #8,10; 3.4 #8,15 If an nxn matrix A has each row sum 0, some Ax=b has no solution. |
| October 25 | 4.1 #10(a,c); 4.2 #23; 4.3 #12,22(c),25(c); 4.4 #6; 4.5 #11,12 |
| Nov. 1 | 5.1 #3(b),20,21; 5.2 #4,9(a),12; Show that the cross product induces an isomorphism between R³ and Λ²(R³). |
| Nov. 8 | 5.2 #18(a),21; 5.3 #2(d,f); 5.4 #6(a),13,19,25 |
| Nov. 15 | 7.1 #3(b),9(a),13; 7.2 #3,14,19(a); 7.3 #13,14; Find all 4x4 Jordan canonical forms of T satisfying T²=T³. |
| Dec. 13 | 6.1; #6,11,12,17; 6.2 #2a,6,11; 6.8 #4(a,c,d),11 |
Michael Weingart
Associate Teaching Professor of Mathematics
weingart [at] math [dot] rutgers [dot] edu
Fall 2018 Teaching:
Math 104:01 Introduction to Probability
Math 104:03 Introduction to Probability
Textbook: For current textbook please refer to our Master Textbook List page
Math 135 provides an introduction to calculus. It is taken primarily by students interested in the biological sciences, business, economics, and pharmacy. Math 135 may be followed by Math 136.
There is another calculus sequence, Math 151-152-251, which is taken by students in the mathematical and physical sciences, engineering, and computer science. Although it is possible to take Math 152 after Math 135, this is not a recommended sequence. More importantly, the prerequisite for Math 251 is Math 152; Math 136 does not satifsy this prerequisite.
Students who may need to take Math 152 or 251 should start their study of calculus with Math 151, and students who decide after taking Math 135 that they may wish to take Math 251 should follow Math 135 with Math 152.
In addition to the standard 4-credit format of the course, a a 5-credit format has been used for some of the sections, but only the 4-credit format is now being offered.
This option will not work correctly. Unfortunately, your browser does not support inline frames.
Abstract: The Bianchi-Egnell Stability Estimate is a stability estimate or quantitative version of the Sobolev Inequality – it states that the difference of terms in the Sobolev Inequality controls the distance of a given function from the manifold of extremals of the Sobolev Inequality with distance measured in the gradient square or \[\dot{H}^1\] norm. In this talk, we present an extension of the Bianchi-Egnell Stability Estimate to Bakry, Gentil, and Ledoux’s Generalization of the Sobolev Inequality to Continuous Dimensions. We also demonstrate a deep link between the Sobolev Inequality and a one-parameter family of sharp Gagliardo-Nirenberg (GN) inequalities and how this link can be used to derive a new stability estimate on the one-parameter family of sharp GN inequalities from our stability estimate on Bakry, Gentil, and Ledoux’s Generalization of the Sobolev Inequality to Continuous Dimensions.
Here's a \[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\] test equation.
Joomla/HTML Tips & Tricks Page |
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This page is contains instructions to help faculty members with updating the Mathematics site.
HOWTO-add-document.txt
HOWTO-update-course-information-file-link-in-Joomla.txt
Accessing Webassign through Sakai
WebAssign - Guide for Instructors/Coordinators
| Course | Cr | Course Title | Cross Listing | |
|---|---|---|---|---|
| listing | credits | title | crossSectionsPrint |
| Course | Cr | Course Title | Cross Listing | |
|---|---|---|---|---|
| listing | credits | title | crossSectionsPrint |
The Mathematics Department offers proficiency examinations for selected courses. Depending on the course, and their performance on the exam, students may earn one of two types of proficiency pass:
Full-credit proficiency exams are offered for courses 115,135, 151 and 152. To take an official proficiency exam the student should contact the Math Undergraduate Office (ugoffice@math.rutgers.edu) to get approval. This normally involves paying a fee to the registrar prior to taking the exam. Once this approval is obtained and the fee is paid, the student should bring the receipt from the registrar to the Math undergraduate office (Hill 303) to arrange a time to take the exam. Students receiving at least a grade of B on the proficiency exam will receive full credit for the course. It will appear on the transcript as ``by examination''. A student getting a C on the proficiency exam will not receive full credit for the course, but will be granted Mathematics Department internal proficiency as described above.
The department offers internal proficiency exam for courses 025 and 026, and also for course 250. Internal proficiency exams are occasionally offered for other courses in unusual situations. To take the internal proficiency exam for 025 or 026, contact the math undergraduate office (ugoffice@math.rutgers.edu) The internal proficiency exam for 250 is offered to students who have completed the honors calculus course 291, or to other students with the approval of the math advisor or the honors committee chair (who will notify the undergraduate office of the approval). Once this approval is obtained, the student should schedule the exam through the math undergraduate office. The proficiency test for 250 may be waived for students with a grade of A in Math 291.
Restrictions
Proficiency exams are offered at fixed times each week throughout the year (except near the beginning or end of a semester). A student may arrange to take the exam by contacting the Mathematics Undergraduate office, ugoffice@math.rutgers.edu The student should allow one to two weeks for scheduling the exam.
The Mathematics Department offers proficiency examinations for selected courses. Depending on the course, and their performance on the exam, students may earn one of two types of proficiency pass:
Full-credit proficiency exams are offered for courses 115,135, 151 and 152. To take an official proficiency exam the student should contact the office of the academic dean of their school to get prior approval, and to find out the rules for getting proficiency credit. This normally involves paying a fee to the registrar prior to taking the exam. Once this approval is obtained and the fee is paid, the student should bring the receipt from the registrar to the Math undergraduate office (Hill 303) to arrange a time to take the exam. Students receiving at least a grade of B on the proficiency exam will receive full credit for the course. It will appear on the transcript as ``by examination''. A student getting a C on the proficiency exam will not receive full credit for the course, but will be granted Mathematics Department internal proficiency as described above.
The department offers internal proficiency exam for courses 025 and 026, and also for course 250. Internal proficiency exams are occasionally offered for other courses in unusual situations. To take the internal proficiency exam for 025 or 026, contact the math undergraduate office (ugoffice@math.rutgers.edu) The internal proficiency exam for 250 is offered to students who have completed the honors calculus course 291, or to other students with the approval of the math advisor or the honors committee chair (who will notify the undergraduate office of the approval). Once this approval is obtained, the student should schedule the exam through the math undergraduate office. The proficiency test for 250 may be waived for students with a grade of A in Math 291.
Restrictions
Proficiency exams are offered at fixed times each week throughout the year (except near the beginning or end of a semester). A student may arrange to take the exam by contacting the Mathematics Undergraduate office, ugoffice@math.rutgers.edu The student should allow one to two weeks for scheduling the exam.
Prerequisites:
Text: Linear Algebra (4th ed.), by Friedberg, Insel and Spence,
Prentice Hall, 2003 ISBN 0-13-008451-4.
| Week | Lecture dates | Sections | topics |
|---|---|---|---|
| 1 | 9/6 (W) | Chapter 1 | Abstract vector spaces & subspaces |
| 2 | 9/11 (M), 13 (W) | Chapter 1 | Span of subsets, linear independence |
| 3 | 9/18, 20 | Chapter 1 | Bases and dimension |
| 4 | 9/25, 27 | Chapter 2 | Linear transformations |
| 5 | 10/2, 10/4 | Chapter 2 | Change of basis, dual spaces |
| 6 | 10/9, 10/11 | Ch. 1-2 | Review and Exam 1 |
| 7 | 10/16, 10/18 | Chapter 3 | Rank and Systems of Linear Equations |
| 8 | 10/23, 10/25 | Chapter 4 | Determinants and their properties |
| 9 | 10/30, 11/1 | Chapter 5 | Eigenvalues/eigenvectors |
| 10 | 11/6, 11/8 | Chapter 5 | Cayley-Hamilton |
| 11 | 11/13, 11/15 | Chapter 7 | Jordan Canonical Form |
| 12 | 11/20 | Chapter 7 | Rational Canonical Form |
| 13 | 11/27, 11/29 | Ch.3,4,5,7 | Review and Exam 2 |
| 14 | 12/4, 12/6 | Chapter 6 | Inner Product spaces |
| 15 | 12/11, 12/13 | Chapter 6 | Unitary and Orthogonal operators (last class) |
| 17 | December 21 (Thursday) | 4-7 PM | Final Exam |
td>6.3 #17,22(c); 6.5 #6,7
| HW Due on: | HW Problems (due Wednesdays) | ||
|---|---|---|---|
| Sept. 13 | 1.2 #17; 1.3 #19,23; 1.4 #11,13; 1.5 #9,15 | ||
| Sept. 20 | 1.6 #20,26,29; 1.7 #5,6; 2.1 #3,11,28 | Show that P(X) is a vector space over F2, and find a basis |
|
| Sept. 27 | 2.2 #6; 2.3 #12; 2.4 #15,21; 2.5 #3(d),8,13 | ||
| Oct. 4 | 2.6#10; 2.7#11,14; 3.1#6,12; 3.2#9; 3.3#10 | Show that F[t]* is iso. to F[[x]] | |
| Oct. 25 | 4.1 #11; 4.2 #24, 29; 4.3 #10,12,21 | ||
| Nov. 1 | 5.1 #3b, 20, 33a; 5.2 #4, 9a, 12 | ||
| Nov. 8 | 5.3 #6; 5.4 #13,17,21,27,36 | ||
| Nov. 15 | 7.1 #3b,9b,11; 7.2 #3,14,19a; 7.3 #13,14 |
Find all 4x4 Jordan canonical forms satisfying T2=T3 | |
| Dec. 13 | 6.1 #11,27(b,c),28; 6.2 #6,10; | 6.3 #17,22(c); 6.5 #6,7 | |
Main 350 course page
Return to Weibel's Home Page
This page describes programs sponsored by the Department of Mathematics for pre-college students with a strong interest in mathematics and provides links to other programs.
Students interested in applying for admission to Rutgers University should consult our page for Prospective Students.
Rutgers Young Scholars Program in Discrete Mathematics is a four-week summer residential program at Rutgers designed to provide mathematically talented high school students with an exciting experience and ultimately to encourage them to consider careers in the mathematical sciences.
Further Information
The Governor's School of New Jersey in the Sciences is a summer program for high school seniors that takes place at Rutgers. The component called the Governor's School in Engineering and Technology takes place at Rutgers.
American Mathematical Society (AMS) maintains a list of nationwide Summer Programs, Math Clubs, Magazines, Careers, and Competitions.
Math for Teachers is an outreach program of the Department of Mathematics at Rutgers University that provides exte nded coursework to consider the mathematics you teach. As the Common Core State Standards in Mathematics (CCSSM) are implemented, you will be asked to bring students to proficiency in "mathematical practices" such as:
Centered at the New Brunswick campus of Rutgers University, Math for Teachers draws on the strengths of a faculty dedicated to the art of teaching and who have made major scholarly contributions to the field.
Mathematics Graduate Program
Information about past Rutgers MSc. recipients can be found here.
Pre-history: Rutgers created a postgraduate study program in 1870, in order to award a certificate to people who took an extra undergraduate course after graduation. Graduate courses formally appeared in 1876. While taking such courses, graduate students were often appointed as a "Tutor in Mathematics"; this was the forerunner of the modern Teaching Assistant. About 10 people received a Masters degree in Mathematics during the era 1870-1906. When the Mathematics department was formally organized in 1906, it stopped admitting graduate students.
The first MSc degrees in Mathematics were awarded to James Barton (BSc 1871; Tutor 1873-74; MSc 1874) and Albert S. Cook (BSc 1872; Tutor 1872-73; MSc 1875). Other masters degrees were awarded to men who went on to become professors at Rutgers: Alfred Titsworth (MSc 1880); Robert Prentiss (MSc 1881); William Breazeale (MSc 1895); and Richard Morris (MSc 1902). The Mathematics Department had other graduate students of this type in the 1890's including: DeWitt, Scattergood (MSc 1997), VanDyck Jr. (AM 1899).
In 1929, a new Masters degree in Mathematics was created, requiring 8 courses and a written thesis. The first such degree was awarded in 1930 to Charles Eason. The first woman to receive a M.Sc. degree in Math was Eveline Stevens in 1934 (NJC '32). Professors Brasefield and Starke were the advisors for most of these students; their Masters theses may be inspected in Rutgers' Math Library. There were 9 MSc degrees granted during the 1930's, and 50 MSc degrees granted during 1940-1959.
The modern era: Although the Rutgers doctoral program was created in 1882, and the first PhD awarded in 1884, a doctoral program in mathematics was not organized at Rutgers until 1947. The first Ph.D. in Mathematics at Rutgers was awarded in 1951, to George Cherlin (Rutgers College '47, MSc '49). A total of 7 Ph.D.s were awarded before 1961, when the modern era began at Rutgers. Under Ken Wolfson (chair 1961-1975) the graduate program in mathematics gradually built up to a steady graduation rate of 13 doctorates per year in the mid-1970's. It later shrank in the 1980's and then expanded again in the 1990's, reaching a high of 19 doctorates in 1995. With the economic downturn in the mid-1990's, fewer students were accepted into the program, with the delayed effect that the number of doctorates has shrunk since 2000.
| Number of doctorates per decade: | 1950's | 1960's | 1970's | 1980's | 1990's | 2000's | 2010's |
| 5 | 41 | 107 | 75 | 138 | 93 | 100 to May 2017 |
| Name | Graduated | Advisor | First job after RU | |||
|---|---|---|---|---|---|---|
| 2015-2019: 31 Ph.D.'s | TOP | |||||
| Semen Artamonov | May | 2018 | Vladimir Retakh | University of California, Berkeley, CA | ||
| Samuel Braunfeld | May | 2018 | Gregory Cherlin | University, of Maryland, MD | ||
| Hanlong Fang | May | 2018 | Xiaojun Huang | University of Wisconsin, Madison, WI | ||
| Bryan Ek | May | 2018 | Doron Zeilberger | Space & Naval Warfare, Hanahan, SC | ||
| Jonathan Jaquette | May | 2018 | Konstantin Mischaikow | Mathematical Sciences Research Institute, CA | ||
| Andrew Lohr | May | 2018 | Doron Zeilberger | Microsoft, WA | ||
| Jiayin Pan | May | 2018 | Xiaochun Rong | University of California, Santa Barbara, CA | ||
| Fei Qi | May | 2018 | Yi-Zhi Huang | Yale University, New Haven, CT | ||
| Anthony Zaleski | May | 2018 | Doron Zeilberger | |||
| Ruofan Yan | Jan | 2018 | Paul Feehan | Asset Management, NY | ||
|
Edmund Karasiewicz |
Oct | 2017 | Stephen Miller | University of California, Santa Cruz, CA | ||
| Douglas Schultz | Oct | 2017 | Chris Woodward | Technion-Israeli Institute of Technology, Haifa, Israel | ||
| Thomas Sznigir | Oct | 2017 | M.Vogelius/H.Brezis | Applied Research Associates, Inc., Raleigh, NC | ||
| Ross Berkowitz | May | 2017 | Swastik Kopparty |
Yale University, CT |
||
| Sjuvon Chung | May | 2017 | Anders Buch | Ohio State University, OH | ||
| Patrick Devlin | May | 2017 | Jeffry Kahn | Yale University, CT | ||
| Michael Donders | May | 2017 | Jozsef Beck | Jane Street Capital, NY | ||
| Nathan Fox | May | 2017 | Doron Zeilberger | The College of Wooster, Ohio | ||
| Siao-Hao Guo | May | 2017 | Natasa Sesum | Indiana University, Bloomington, IN | ||
| Rachel Levanger | May | 2017 | Konstantin Michaikow | University of Pennsylvania, PA | ||
| Pedro Pontes | May | 2017 | Henryk Iwaniec | Bloomberg, NY | ||
| Liming Sun | May | 2017 | YanYan Li | Johns Hopkins University, MD | ||
| Charles Wolf | May | 2017 | Shubhangi Saraf | Ben Gurion University, Israel | ||
| Xukai Yan | May | 2017 | YanYan Li | Georgia Tech, GA | ||
| Jacob Baron | Oct | 2016 | Jeffry Kahn | Department of Defense | ||
| Timothy Naumovitz | Oct | 2016 | Michael Saks | Google, Inc., Mountainview, CA | ||
| Bence Borda | May | 2016 | Jozsef Beck | |||
| Bud Coulson | May | 2016 | James Lepowsky | Rutgers University, NJ | ||
| Charles Wes Cowan | May | 2016 | Michael Katehakis | Rutgers University, NJ | ||
| Brian Garnett | May | 2016 | Swastik Kopparty | Rutgers University, NJ | ||
| Burak Kaya | May | 2016 | Simon Thomas | Middle East Technical University, Turkey | ||
| John Kim | May | 2016 | Swastik Kopparty | Virtu Financial, NYC | ||
| Howard Nuer | May | 2016 | Lev Borisov | Northeastern University, Boston, MA | ||
| Matthew Russell | May | 2016 | V. Retakh/D. Zeilberger | Rutgers University, NJ | ||
| Francis Seuffert | May | 2016 | Eric Carlen | University of Pennsylvania | ||
| Nathaniel Shar | May | 2016 | Doron Zeilberger | Google, Inc., CA | ||
| Tien Trinh | May | 2016 | Stephen Miller | University of Colorado Boulder, CO | ||
| Glen Wilson | May | 2016 | Charles Weibel | University of Oslo, Norway | ||
| Jianguo Xiao | May | 2016 | Avy Soffer | Quantitative Strategies at PeerIQ, NY | ||
| Edward Chien | Oct | 2015 | Feng Luo | Bar-Ilan University, Israel | ||
| Manuel Larenas | Oct | 2015 | Avy Soffer | JRI Ingenieria Consulting Firm, Chile | ||
| Zahra Aminzare | May | 2015 | Eduardo Sontag | Princeton University, Princeton, NJ | ||
| Francesco Fiordalisi | May | 2015 | Yi-Zhi Huang/ James Lepowsky |
Bloomberg LP, Princeton, NJ | ||
| Bin Guo | May | 2015 | Jian Song | Columbia University, New York, NY | ||
| Simao Herdade | May | 2015 | Endre Szemeredi | Clarifai, Inc., NY | ||
| Moulik Kallupalam Balasubramanian | May | 2015 | Shadi Abdoire Tahvildar-Zadeh |
Rutgers University, NJ | ||
| Shashank Kanade | May | 2015 | James Lepowsky | University of Alberta, Alberta, Canada | ||
| Vladimir Lubyshev | May | 2015 | Paul Feehan | Cubist Systematic Strategies, LLC, NY | ||
| John Miller | May | 2015 | Henryk Iwaniec | John Hopkins University, Baltimore, MD | ||
| Kellen Myers | May | 2015 | Doron Zeilberger | Farmingdale State College, Farmingdale, NY | ||
| Ming Xiao | May | 2015 | Xiaojun Huang | University of Illinois at Urbana-Champaign | ||
| Justin Bush | Jan | 2015 | Konstantin Mischaikow | Palantir Technologies, Inc. NY | ||
| Jaret Flores | Jan | 2015 | Charles Weibel | GIS Workshop, Inc., Lincoln, NE | ||
| Justin Gilmer | Jan | 2015 | Michael Saks | Bloomberg LP, NY | ||
| Thomas Tyrrell | Jan | 2015 | Jerrold Tunnell | Infosys, Basking Ridge, NJ | ||
2010-2014: 58 Ph.D.'s |
TOP | |||||
| James Dibble | Oct | 2014 | Xiaochun Rong | Western Illinois University, Macomb, IL | ||
| Jorge Cantillo | Oct | 2014 | Henryk Iwaniec | Assurant Solutions, Miami, FL | ||
| Michael Marcondes de Freitas |
Oct | 2014 | Eduardo Sontag | University of Copenhagen, Denmark | ||
| Aaron Hamm | Oct | 2014 | Jeffry Kahn | Winthrop University, Rock Hill, SC | ||
| Debajyoti Nandi | Oct | 2014 | Robert Wilson | Chennai Mathematical Institute, India | ||
| Kathleen Crow Craig | May | 2014 | Eric Carlen | UCLA, Los Angeles, CA | ||
| Ved Datar | May | 2014 | Jian Song | University of Notre Dame, IN | ||
| Knight Fu | May | 2014 | Charles Weibel | MediaMath, Boston, MA | ||
| Zhan Li | May | 2014 | Lev Borisov | John Hopkins University, Baltimore, MD | ||
| Robert McRae | May | 2014 | James Lepowsky | Beijing Int'l. Center for Math Research, China | ||
| Yusra Naqvi | May | 2014 | Siddhartha Sahi | Muhlenberg College, Allentown, PA | ||
| Eduardo Osorio Triana | May | 2014 | Paul Feehan | Bloomberg LP, NY | ||
| Christopher Sadowski | May | 2014 | Lepowsky / YZ Huang | Ursinus College in Collegeville, PA | ||
| Matthew Samuel | May | 2014 | Anders Buch | Prudential Investment Management | ||
| Jinwei Yang | May | 2014 | Lepowsky / YZ Huang | University of Notre Dame, IN | ||
| Hui Wang | Jan | 2014 | Haim Brezis | JP Morgan, NY | ||
| Brandon Bate | Oct | 2013 | Stephen Miller | Tel Aviv University (Israel) | ||
| Susovan Pal | Oct | 2013 | Feng Luo / Jun Hu | University of Paris 11 | ||
| Vijay Ravikumar | Oct | 2013 | Anders Buch | Tata Institute for Fundamental Research (India) | ||
| Yu Wang | Oct | 2013 | Michael Kiessling | |||
| David Duncan | May | 2013 | Chris Woodward | Michigan State University | ||
| Susan Durst | May | 2013 | Robert Wilson | University of Arizona | ||
| Ali Maalaoui | May | 2013 | Abbas Bahri | Universitat Basel (Switzerland) | ||
| Brian Nakamura | May | 2013 | Doron Zeilberger | CCICADA | ||
| Priyam Patel | May | 2013 | Feng Luo | Purdue University | ||
| Ke Wang | May | 2013 | Van Vu | IMA (University of Minnesota) | ||
| Yunpeng Wang | May | 2013 | YanYan Li | AMSS, Chinese Academy of Sciences (Beijing) | ||
| Tian Yang | May | 2013 | Feng Luo | Stanford University | ||
| Hernan Castro | Oct | 2012 | H. Brezis | Universidad De Talga | ||
| Robert DeMarco | Oct | 2012 | J. Kahn | CCICADA | ||
| Vidit Nanda | Oct | 2012 | K. Mischaikow | University of Pennsylvania | ||
| Catherine Pfaff | Oct | 2012 | L. Mosher | Laboratory Analysis of Topology and Probabilities, Aix Marseille Universite/CNRS | ||
| Susmita Venugopalan | Oct | 2012 | C. Woodward | Tata Institute of Fundamental Research | ||
| John Bryk | May | 2012 | J. Tunnell | John Jay College (CUNY) | ||
| Tianling Jin | May | 2012 | Y. Li | University of Chicago | ||
| Elizabeth Kupin | May | 2012 | J. Beck | NSA | ||
| Camelia Pop | May | 2012 | P. Feehan | University of Pennsylvania | ||
| Nicholas Trainor | May | 2012 | M. Vogelius | Numerix LLC (NYC) | ||
| Jay Williams | May | 2012 | S. Thomas | California Institute of Technology | ||
| V.S. Padmini Mukkamala | October | 2011 | J. Pack and M. Szegedy | McDaniel college, Hungary; then IIT, India | ||
| Amit Priyadarshi | October | 2011 | R. Nussbaum | Indian Institute of Technology, Delhi | ||
| Andrew Baxter | May | 2011 | D. Zeilberger | Penn State University | ||
| Gabriel Bouch | May | 2011 | E. Carlen | Freedom Church, Philadelphia | ||
| Emilie Hogan | May | 2011 | D. Zeilberger | Pacific Northwest National Laboratory | ||
| Brent Young | May | 2011 | M. Kiessling | Rutgers University; Cologne University (Germany) | ||
| Linh Tran | Jan | 2011 | V. Vu | University of Washington | ||
| Nan Li | Oct | 2010 | X. Rong | University of Notre Dame | ||
| Jin Wang | Oct | 2010 | P. Feehan | Ernst & Young LLP | ||
| Yuan Yuan | Oct | 2010 | X. Huang | John Hopkins University | ||
| Sara Blight | May | 2010 | H. Iwaniec | National Security Agency at Fort Meade | ||
| Goran Djankovic | May | 2010 | H. Iwaniec | Mathematical Institute of the Serbian Academy of Arts and Sciences | ||
| Liviu Ilinca | May | 2010 | J. Kahn | Indiana University | ||
| Hoi Nguyen | May | 2010 | V. Vu | University of Pennsylvania | ||
| Wesley Pegden | May | 2010 | J. Beck | NYU (Courant Institute), NSF Postdoc | ||
| Daniel Staley | May | 2010 | S. Ferry | Yodle, Inc. | ||
| Paul Ellis | Jan | 2010 | S. Thomas | University of Connecticut | ||
| Jawon Koo | Jan | 2010 | P. Feehan | South Korea | ||
| Ming Shi | Jan | 2010 | P. Feehan | Ernst & Young LLP | ||
2005-2009: 50 Ph.D.'s |
TOP | |||||
| Ila Leigh Cobbs | Oct | 2009 | L. Carbone | Lebanon Valley College | ||
| Paul Raff | Oct | 2009 | D. Zeilberger | Rutgers University | ||
| Reza Rezazadegan | Oct | 2009 | C. Woodward | Aarhus University | ||
| Thomas Robinson | Oct | 2009 | J. Lepowsky | Rutgers University | ||
| Scott Schneider | Oct | 2009 | S. Thomas | Wesleyan University | ||
| Biao Yin | Oct | 2009 | Y. Li | University of Connecticut | ||
| Yuan Zhang | Oct | 2009 | X. Huang | UCSD | ||
| Philip M. Wood | May | 2009 | V. Vu | NSF Postdoc, UCLA, then Stanford University | ||
| Eric Rowland | May | 2009 | D. Zeilberger | Tulane University | ||
| Luc Nguyen | May | 2009 | Y. Li | Univ. of Oxford | ||
| Michael Neiman | May | 2009 | J. Kahn | Univ. of California | ||
| Ian Levitt | May | 2009 | E. Szemeredi | Federal Aviation Administration | ||
| Liming Wang | Oct. | 2008 | E. Sontag | U.C. Irvine | ||
| Sikimeti Ma'u | Oct. | 2008 | C. Woodward | Massachusetts Institute of Technology | ||
| Thotsaporn Thanatipanonda | Oct. | 2008 | D. Zeilberger | Dickinson College | ||
| Ellen (Shiting) Bao | May | 2008 | Y. Li | University of Minnesota | ||
| Sam Coskey | May | 2008 | S. Thomas | CUNY | ||
| Colleen Duffy | May | 2008 | R. Wilson | U. Wisconsin-Eau Claire | ||
| Ren Guo | May | 2008 | F. Luo | University of Minnesota | ||
| Lara Pudwell | May | 2008 | D. Zeilberger | Valparaiso University | ||
| Jared Speck | May | 2008 | M. Kiessling/S. Tahvildar-Zadeh | Princeton University | ||
| Chris Stucchio | Jan. | 2008 | A. Soffer | Courant Institute (NSF postdoc) | ||
| Derek Hansen | Jan. | 2008 | M. Vogelius | Rice University | ||
| Kevin Costello | Oct. | 2007 | V. Vu | Institute for Advanced Study | ||
| Benjamin Kennedy | Oct. | 2007 | R. Nussbaum | Gettysburg College | ||
| Brian Lins | Oct. | 2007 | R. Nussbaum | Dickinson College | ||
| Sujith Vijay | May | 2007 | J. Beck | Univ. of Illinois at Urbana-Champaign | ||
| Michael Weingart | May | 2007 | F. Knop | Rutgers-New Brunswick | ||
| Haoyuan Xu | May | 2007 | Y. Li | Univ. of Connecticut | ||
| Corina Calinescu | Oct. | 2006 | J. Lepowsky | Ohio State Univ. | ||
| William Cuckler | Oct. | 2006 | J. Kahn | Univ. of Delaware | ||
| Thuy Pham | Oct. | 2006 | W. Vasconcelos | Univ. of Toronto | ||
| Moa Apagodu | May | 2006 | D. Zeilberger | Virginia Commonwealth Univ. | ||
| Satadal Ganguly | May | 2006 | H. Iwaniec | Inst. of Mathematical Sciences, India | ||
| Roman Holowinsky | May | 2006 | H. Iwaniec | The Inst. for Advanced Study | ||
| Qinian Jin | May | 2006 | Y. Li | Univ. of Texas | ||
| Rich Mikula | May | 2006 | Y. Li | William Paterson Univ. | ||
| Vincent Vatter | Jan. | 2006 | D. Zeilberger | Univ. of St. Andrews, Scotland | ||
| German Enciso | Oct. | 2005 | E. Sontag | Math Biology Inst., Ohio State Univ. | ||
| Liang Kong | Oct. | 2005 | Y.-Z. Huang | Max Planck Inst. & IHES (Bures) | ||
| David Nacin | Oct. | 2005 | R. Wilson | William Paterson Univ. | ||
| Sasa Radomirovic | Oct. | 2005 | J. Tunnell | Univ. of Trondheim, Norway | ||
| Nick Weininger | Oct. | 2005 | J. Kahn | Google Inc, Mountain View | ||
| Kia Dalili | May | 2005 | W. Vasconcelos | Dalhousie Univ. | ||
| Aaron Lauve | May | 2005 | V. Retakh | Univ. of Quebec, Montreal | ||
| Kai Medville | May | 2005 | M. Vogelius | Inst. for Math. and its Applications, Minneapolis | ||
| Augusto Ponce | May | 2005 | H. Brezis | Inst. for Advanced Study & Univ. of Paris | ||
| Yongzhong Xu | May | 2005 | A. Bahri | NYU (Courant Inst.) | ||
| Laura Ciobanu | Jan. | 2005 | C. Sims | CRM Barcelona | ||
| Eva Curry | Jan. | 2005 | R. Gundy | Dalhousie Univ. | ||
2000-2004: 43 Ph.D.'s |
TOP | |||||
| Pieter Blue | Oct. | 2004 | A. Soffer | Univ. of Toronto | ||
| Jeff Burdges | Oct. | 2004 | G. Cherlin | Univ. Wurzburg, Germany | ||
| Raju Chelluri | Oct. | 2004 | H. Iwaniec | Deceased | ||
| Stephen Hartke | Oct. | 2004 | F. Roberts | Univ. of Illinois Urbana-Champaign | ||
| Xiaoqing Li | Oct. | 2004 | H. Iwaniec | Columbia Univ. | ||
| Alfredo Rios | Oct. | 2004 | R. Gundy | Lehigh Univ. | ||
| Eric Sundberg | Oct. | 2004 | J. Beck | Whittier College | ||
| Klay Kruczek | May | 2004 | J. Beck | Univ. of Western Oregon | ||
| Aobing Li | May | 2004 | Y. Li | Inst. for Advanced Study and Univ. of Wisconsin | ||
| XiaoYong Li | May | 2004 | L. Shepp | Industry (Contract Research Org) | ||
| Waldeck Schutzer | May | 2004 | S. Sahi | U. Federal de Sao Carlos, Brazil | ||
| Matt Young | May | 2004 | H. Iwaniec | American Inst. of Mathematics and Stanford Univ. | ||
| Lin Zhang | May | 2004 | J. Lepowsky | Industry | ||
| Carlo Mazza | Jan. | 2004 | C. Weibel | Univ. of Paris | ||
| Rodney Biezuner | Oct. | 2003 | Y. Li | U. Minas-Gervais/Belo Horizonte, Brazil | ||
| David Radnell | Oct. | 2003 | Y.-Z. Huang | Univ. of Michigan | ||
| Malka Rosenthal | Oct. | 2003 | M. Saks | Iona College | ||
| James Taylor | Oct. | 2003 | S. Goldstein | Iowa State Univ. | ||
| Yuka Taylor | Oct. | 2003 | C. Woodward | George Washington Univ. | ||
| Madalena Chaves | May | 2003 | E. Sontag | RU/Industry | ||
| Jooyoun Hong | May | 2003 | W. Vasconcelos | Purdue Univ. | ||
| Liangyi Zhao | May | 2003 | H. Iwaniec | U.S. Military Academy (West Point) | ||
| Louis Dupaigne | Jan. | 2003 | H. Brezis | Univ. of Paris VI | ||
| Xiaodong Sun | Jan. | 2003 | M. Saks | Inst. for Advanced Study | ||
| David Galvin | Oct. | 2002 | J. Kahn | Microsoft Corp., Seattle | ||
| Takao Sakuraba | May | 2002 | G. Goldin | Rutgers | ||
| Juan Davila | Jan. | 2002 | H. Brezis | Univ. de Santiago, Chile | ||
| Brian Ingalls | Oct. | 2001 | E. Sontag | Waterloo Univ. | ||
| Antun Milas | Oct. | 2001 | J. Lepowsky | Univ. of Arizona | ||
| Yi Zhao | Oct. | 2001 | E. Szemeredi | Univ. of Illinois (Chicago) | ||
| Bernardo Abrego | May | 2001 | J. Beck | California State-Northridge | ||
| Silvia Fernandez | May | 2001 | J. Beck | California State-Northridge | ||
| Maurice Hasson | May | 2001 | R. Gundy | Univ. of Arizona | ||
| Cliff Smyth | May | 2001 | M. Saks | Carnegie Mellon and Inst. for Advanced Study | ||
| Darko Volkov | May | 2001 | M. Vogelius | NJIT | ||
| Steve Warner | May | 2001 | S. Thomas | Penn. State, Reading | ||
| Lei Zhang | May | 2001 | Y. Li | Texas A&M | ||
| Paul Dreyer | Oct. | 2000 | F. Roberts | Rand Corp. | ||
| Ryan Martin | Oct. | 2000 | E. Szemeredi | Carnegie Mellon Univ. | ||
| John Nahay | May | 2000 | R. Cohn | Monmouth Univ. | ||
| Misha Krichman | Jan. | 2000 | E. Sontag | UCLA (Mech. Eng'g.) | ||
| Yi Liu | Jan. | 2000 | F. Luo | Rutgers | ||
| Michael Malisoff | Jan. | 2000 | H. Sussmann | Washington Univ. (St. Louis) | ||
|
TOP | |||||
| Dov Chelst | Oct. | 1999 | J. Lebowitz | DeVry Inst. | ||
| Terri Girardi | Oct. | 1999 | J. Tunnell | Fordham Univ. | ||
| Xin Guo | Oct. | 1999 | L. Shepp | Univ. of Alberta/IBM (Financial Statistics) | ||
| Pirkko Kuusela | Oct. | 1999 | D. Ocone | Industry (Finland) | ||
| Marco Lenci | Oct. | 1999 | J. Lebowitz | SUNY Stony Brook | ||
| Paul O'Donnell | Oct. | 1999 | J. Komlos | Drew Univ. | ||
| Sara Soffer | Oct. | 1999 | J. Komlos | Princeton HS | ||
| Yang Yu | Oct. | 1999 | J. Kahn | Cal Tech | ||
| Garikai Campbell | Jan. | 1999 | J. Tunnell | Swarthmore College | ||
| A. Kazarnovskii Krol | Jan. | 1999 | I. Gelfand | Yale Univ. | ||
| Harri Ojanen | Jan. | 1999 | R. Wheeden | Lumeo Software,Inc. Finland | ||
| Senchun Lin | Oct. | 1998 | T. Weinstein | Industry (software) | ||
| Jason Yuenger | Oct. | 1998 | J. Taylor | J. P. Morgan Stanley (Finance) | ||
| Rita Csákány | May | 1998 | J. Kahn | Technical Univ. of Budapest, Hungary | ||
| Rick Desper | May | 1998 | M. Farach | National Insitutes of Health | ||
| Tor Gunston | May | 1998 | W. Vasconcelos | EDS (Morris Plains, NJ) | ||
| Carol Hamer | May | 1998 | J. Tunnell | Airial Conseil, France | ||
| Emanuel Kowalski | May | 1998 | H. Iwaniec | Princeton Univ./Inst. for Advanced Study | ||
| Luca Mauri | May | 1998 | M. Tierney | Univ. of Como, Italy | ||
| Li Sheng (OR) | May | 1998 | F. Roberts | Drexel Univ. | ||
| Tong Tu | May | 1998 | R. Falk | Bloomberg (Financial Services Industry) | ||
| Shaoji Xu (OR) | May | 1998 | F. Roberts | Bell Labs | ||
| Amine Asselah | Oct. | 1997 | J. Lebowitz | ETH Zurich | ||
| Rodica Costin | Oct. | 1997 | M. Kruskal | Mathematical Sciences Research Inst. | ||
| Luke Higgins | Oct. | 1997 | T. Weinstein | Brigham Young Univ., Salt Lake City | ||
| Dan Kling | Oct. | 1997 | F. Luo | Rutgers-IEEE project | ||
| Wanglai Li | Oct. | 1997 | J. Lepowsky / R. Wilson | Telecommunications industry | ||
| Richard Ng | Oct. | 1997 | E. Taft | Univ. of California-Santa Cruz | ||
| Dan Radulescu | Oct. | 1997 | J. Lebowitz | Industry | ||
| Luisa R. Doering | May | 1997 | W. Vasconcelos | Univ. Rio Grande do Sul, Brazil | ||
| Donna Fengya | May | 1997 | M. Vogelius | James Madison Univ. | ||
| Dave Reimer | May | 1997 | J. Beck | IAS/Trenton State | ||
| Arpad Toth | May | 1997 | W. Duke | U. Michigan | ||
| Han Zuhong | May | 1997 | F. Treves | Finance industry | ||
| Y. Chitour | Jan. | 1997 | H. Sussmann | Univ. of Pisa, Italy | ||
| Raika Dehy | Jan. | 1997 | O. Mathieu | Univ. of Strasbourg, France (ATER) | ||
| Yi Zhang | Jan. | 1997 | S. Thomas | Univ. Michigan | ||
| Katrina Barron | Oct. | 1996 | J. Lepowsky / Y.-Z. Huang | Univ. of California-Santa Cruz | ||
| Galin Georgiev | Oct. | 1996 | J. Lepowsky | Inst. for Advanced Study | ||
| M. Losada | Oct. | 1996 | S. Thomas | Antonio Narino Univ. (Colombia) | ||
| Gretchen Ostheimer | Oct. | 1996 | C. Sims | Tufts Univ. | ||
| Aleksandar Pekec | Oct. | 1996 | F. Roberts | BRICS, Denmark | ||
| Rosane Ushirobira | Oct. | 1996 | O. Mathieu | Univ. of Strasbourg, France (ATER) | ||
| Meijun Zhu | Oct. | 1996 | Y. Li | U British Columbia | ||
| Dave Anderson | May | 1996 | J. Taylor | West Point / ARL | ||
| Jim Bennett | May | 1996 | S. Thomas | Std.Commercial Lines | ||
| Tom Bohman | May | 1996 | J. Kahn | MIT/MSRI then Carnegie Mellon U. | ||
| M.J. Kelley | May | 1996 | J. Taylor | Texas A&M | ||
| Naomi Klarreich | May | 1996 | T. Weinstein | Case Western Reserve Univ. | ||
| Eddie Lo | May | 1996 | C. Sims | NSA | ||
| Shari Moskow | May | 1996 | M. Vogelius | Inst. for Math. and its Applications (Minneapolis) | ||
| John Shareshian | May | 1996 | R. Lyons | Mathematical Sciences Research Inst. (Berkeley) | ||
| J-Y Patrick Tai | May | 1996 | P. Landweber | Dartmouth | ||
| Yansong Chen | Oct. | 1995 | A. Bahri | |||
| Ovidiu Costin | Oct. | 1995 | J. Lebowitz / M. Kruskal | |||
| Jason Jones | Oct. | 1995 | C. Weibel | |||
| Andrew Leahy | Oct. | 1995 | F. Knop | |||
| Martin Strauss | Oct. | 1995 | E. Allender | |||
| Juan Alvarez-Paiva | 1995 | T. Petrie | ||||
| Wen-Yun Gao | May | 1995 | J. Tunnell / D. Rohrlich | |||
| G. Giacomin | May | 1995 | J. Lebowitz | |||
| Ying Huang | May | 1995 | I. Daubechies / R. Wheeden | |||
| Susan Morey | May | 1995 | W. Vasconcelos | |||
| Dale Peterson | May | 1995 | F. Roberts | |||
| Claudia Polini | 1995 | W. Vasconcelos | ||||
| Yasmine Sanderson | May | 1995 | R. Wilson / O. Mathieu | |||
| Robert Smyth | May | 1995 | T. Weinstein | |||
| Maria Vaz Pinto | May | 1995 | W. Vasconcelos | |||
| David W. Webb | May | 1995 | S. Chanillo / B. Muckenhoupt | |||
| Jiahai Xie | May | 1995 | R. Goodman | |||
| Hong Guo | Jan. | 1995 | J. Lepowsky | |||
| 1990-1994: 66 Ph.D.'s |
TOP | |||||
| A. Tuna Altınel | Oct. | 1994 | G. Cherlin | |||
| Randall Fairman | Oct. | 1994 | R. Lyons | |||
| Andrés Fundia | Oct. | 1994 | M. Saks | |||
| Mark Kayll | Oct. | 1994 | J. Kahn | |||
| Renee Koplon | Oct. | 1994 | E. Sontag | |||
| Guillaume Sanje-Mpacko | Oct. | 1994 | L. Corwin / R. Goodman | |||
| Jim Sharp | Oct. | 1994 | S. Thomas | |||
| Todd Trimble | Oct. | 1994 | M. Tierney | |||
| Rob Hochberg | May | 1994 | J. Beck | |||
| Elizabeth Jurisich | May | 1994 | R. Wilson / J. Lepowsky | |||
| Haisheng Li | May | 1994 | J. Lepowsky / R. Wilson | |||
| Guotian Lin | May | 1994 | A. Kupiainen | |||
| András Pluhár | May | 1994 | J. Beck (RUTCOR) | |||
| András Stipzicz | May | 1994 | T. Petrie | |||
| Zoltán Szabó | May | 1994 | T. Petrie | |||
| Chuanfu Xie | May | 1994 | J. Lepowsky / R. Wilson | |||
| Sergio Zani | Jan. | 1994 | R. Wheeden | |||
| Francesca Albertini | Oct. | 1993 | E. Sontag | |||
| Jeong Han Kim | Oct. | 1993 | J. Kahn | |||
| Junjie Xiong | Oct. | 1993 | P. Hansen | |||
| Yudi Yang | Oct. | 1993 | H. Sussmann | |||
| Xin Ke | May | 1993 | J. Beck | |||
| Wenzhi Luo | May | 1993 | H. Iwaniec | |||
| Paolo Dai Pra | Jan. | 1993 | J. Lebowitz | |||
| Tejinder Neelon | Jan. | 1993 | F. Treves | |||
| Hasna Riahi | Jan. | 1993 | A. Bahri | |||
| Andrew Roosen | Jan. | 1993 | J. Taylor | |||
| Lin Yuandan | Oct. | 1992 | E. Sontag | |||
| Wensheng Liu | Oct. | 1992 | H. Sussmann | |||
| Lu Xiaoyun | Oct. | 1992 | J. Kahn | |||
| Steven Sessions | Oct. | 1992 | P. Landweber | |||
| Tang Guoqing | Oct. | 1992 | H. Sussmann | |||
| Ed Aboufadel | May | 1992 | J. Cronin-Scanlon | |||
| Gábor Francsics | May | 1992 | F. Treves | |||
| Nigel Pitt | May | 1992 | H. Iwaniec | |||
| Denise Sakai | May | 1992 | F. Roberts (RUTCOR) | |||
| Xueqing Tang | May | 1992 | A. Ben-Israel (RUTCOR) | |||
| Jianming Xu | May | 1992 | R. Falk | |||
| Xiaoping Xu | May | 1992 | J. Lepowsky / R. Wilson | |||
| Stephen Alessandrini | Oct. | 1991 | R. Falk | |||
| Géza Bohus | Oct. | 1991 | J. Kahn | |||
| Da-mu Cai | Oct. | 1991 | R. Falk | |||
| Gustavo Comezana | Oct. | 1991 | J. Shaneson | |||
| Brenda Latka | Oct. | 1991 | G. Cherlin | |||
| Richard Rosengarten | Oct. | 1991 | G. Cherlin | |||
| To Tze-ming | Oct. | 1991 | N. Wallach | |||
| Barr Von Oehsen | Oct. | 1991 | P. Landweber | |||
| Xianwen Xie | Oct. | 1991 | R. Nussbaum | |||
| Chua Seng-Kee | May | 1991 | R. Wheeden | |||
| Jose C. Fernandes | May | 1991 | R. Wheeden | |||
| Linda Holt | May | 1991 | R. M. Beals | |||
| Terry Lohrenz | May | 1991 | F. Treves | |||
| Lu Guozhen | May | 1991 | S. Chanillo | |||
| Chi Wang | May | 1991 | F. Roberts (RUTCOR) | |||
| Sandra Caravella | Oct. | 1990 | T. Petrie | |||
| Yi-Zhi Huang | Oct. | 1990 | J. Lepowsky | |||
| Seong Joo Kang | Oct. | 1990 | R. M. Beals | |||
| Yuan Wang | Oct. | 1990 | E. Sontag | |||
| Glenn Hurlbert | May | 1990 | R. Graham | |||
| Cristiano Husu | May | 1990 | J. Lepowsky | |||
| Garth Isaak | May | 1990 | F. Roberts (RUTCOR) | |||
| Julio Kuplinsky | May | 1990 | P. Hansen | |||
| Peter Ostapenko | May | 1990 | R. Goodman | |||
| J. Asmus Petersen | May | 1990 | F. Treves | |||
| Raymond Ross | May | 1990 | D. Rohrlich | |||
| Zangwill Rosenbaum | Jan. | 1990 | F. Roberts | |||
| 1980-1989: 75 Ph.D.'s |
TOP | |||||
| Enriqueta Carrington | Oct. | 1989 | N. Wallach | |||
| Andrzej Karwowski | Oct. | 1989 | J. Lebowitz | |||
| Shari Prevost | Oct. | 1989 | R. Wilson | |||
| Barry Tesman | Oct. | 1989 | F. Roberts | |||
| Jan Wehr | Oct. | 1989 | M. Aizenman | |||
| Krzysztof Wysocki | Oct. | 1989 | R. Nussbaum | |||
| Peisen Zhang | Oct. | 1989 | J. Lebowitz | |||
| Stefano Capparelli | Oct. | 1988 | J. Lepowsky / R. Wilson | |||
| Carlangelo Liverani | Oct. | 1988 | J. Lebowitz | |||
| Abdelhamid Meziani | Oct. | 1988 | F. Treves | |||
| Jean Rynes | Oct. | 1988 | C. Weibel | |||
| Haruo Tsukuda | Oct. | 1988 | J. Lepowsky / I. Frenkel | |||
| Suh-Ryung Kim | 1988 | F. Roberts | ||||
| Pierluigi Frajria | Jan. | 1988 | N. Wallach | |||
| Willi Schwarz | Jan. | 1988 | N. Wallach | |||
| Shiferaw Berhanu | Oct. | 1987 | F. Treves | |||
| Yves Crama | Oct. | 1987 | P. Hammer | |||
| Beatriz de Lafferriere | Oct. | 1987 | W. Petryshyn | |||
| Stefano Olla | Oct. | 1987 | J. Lebowitz | |||
| David Barsky | May | 1987 | M. Aizenman | |||
| Mark Hughes | May | 1987 | T. Petrie | |||
| João Sampaio | May | 1987 | T. Petrie | |||
| Gerardo Lafferriere | Oct. | 1986 | H. Sussmann | |||
| Monica Nicolau | Oct. | 1986 | J. Shaneson | |||
| Heinz Schaettler | Oct. | 1986 | H. Sussmann | |||
| Carlos Videla | Oct. | 1986 | G. Cherlin | |||
| Jim Maloney | May | 1986 | G. Cherlin | |||
| Rafael Villareal | May | 1986 | W. Vasconcelos | |||
| Leila Figueiredo | Jan. | 1986 | J. Lepowsky | |||
| Marly Mandia | Jan. | 1986 | R. Wilson | |||
| Abigail Thompson | Jan. | 1986 | J. Shaneson | |||
| Lucilia Borsari | Oct. | 1985 | P. Landweber | |||
| Paulo Cordaro | Oct. | 1985 | F. Treves | |||
| Kent Orr | Oct. | 1985 | J. Shaneson | |||
| Yuh-Dong Tsai | Oct. | 1985 | T. Petrie | |||
| H. Leroy Hutson | May | 1985 | W. Vasconcelos | |||
| Gary Martin | May | 1985 | G. Cherlin | |||
| John C.M. Nash | May | 1985 | M. Nathanson | |||
| Arundhati Raychaudhuri | May | 1985 | F. Roberts | |||
| Yungchen Cheng | Oct. | 1984 | E. Taft | |||
| Richard J. Pfister | Oct. | 1984 | J. Lepowsky | |||
| Norman Adams | May | 1984 | M. Tierney | |||
| Eung Chun Cho | May | 1984 | T. Petrie | |||
| Terence Lindgren | May | 1984 | M. Tierney | |||
| Robert Opsut | May | 1984 | F. Roberts | |||
| Dong Youp Suh | May | 1984 | T. Petrie | |||
| Joan Farmer Amgott | Oct. | 1983 | J. Lebowitz | |||
| Steven Chapin | Oct. | 1983 | R. Nussbaum | |||
| Guillermo Ferreyra | Oct. | 1983 | H. Sussmann | |||
| Robert S. Maier | Oct. | 1983 | J. Lebowitz | |||
| David Mitzman | Oct. | 1983 | J. Lepowsky | |||
| Steven Amgott | May | 1983 | B. Mitchell | |||
| Kil Hyun Kwon | May | 1983 | F. Treves | |||
| Jiang Jin Sheng | May | 1983 | R. Falk | |||
| Carol Ann Keller | Jan. | 1983 | M. Tierney | |||
| Peter Monk | Jan. | 1983 | R. Falk | |||
| Alan Siegel | Jan. | 1983 | T. Petrie | |||
| Zsu(zsanna) Kadas | Oct. | 1982 | H. Othmer | |||
| Kailash C. Misra | Oct. | 1982 | R. Wilson | |||
| Stephen Breen | June | 1982 | J. Lebowitz | |||
| Jorge Gerszonowicz | June | 1982 | F. Treves | |||
| Paul Schachter | June | 1982 | J. Shaneson | |||
| Joanne Darken | Jan. | 1982 | H. Sussmann | |||
| Martin Farber | Jan. | 1982 | P. Hell | |||
| Ernst Adams | Oct. | 1981 | B. Muckenhoupt | |||
| Dohan Kim | Oct. | 1981 | F. Treves | |||
| Margaret Barry-Cozzens | June | 1981 | F. Roberts | |||
| David Hecker | June | 1981 | W. Sweeney | |||
| Arne Meurman | June | 1981 | J. Lepowsky | |||
| Shirlei Serconek | Oct. | 1980 | R. Wilson | |||
| Susan Szczepanski | Oct. | 1980 | J. Shaneson | |||
| Michael Weiss | June | 1980 | G. Cherlin | |||
| Cheng-Shung Ko | Jan. | 1980 | P. Hell | |||
| Ira L. Robbin | Jan. | 1980 | E. Speer | |||
| Bernadette Tutinas | Jan. | 1980 | D. Gorenstein | |||
| 1970-1979: 107 Ph.D.'s |
TOP | |||||
| Stephen Andrilli | Oct. | 1979 | C. Sims | |||
| Edward Deloff | Oct. | 1979 | J. D'Atri | |||
| Stephen Davis | Oct. | 1979 | R. Lyons | |||
| Regina Mladineo | Oct. | 1979 | N. Levitt | |||
| Richard Watnick | Oct. | 1979 | J. Rosenstein | |||
| Joseph McDonough | June | 1979 | J. Cronin-Scanlon | |||
| Max Ashkenazi | Oct. | 1978 | J. Cronin-Scanlon | |||
| Nancy H. Baxter | Oct. | 1978 | R. Nussbaum | |||
| Nan-hung Chen | Oct. | 1978 | B. Osofsky | |||
| Karl Heinz Dovermann | Oct. | 1978 | T. Petrie | |||
| Stephen Hoyle | Oct. | 1978 | J. Cronin-Scanlon | |||
| Mark Hunacek | Oct. | 1978 | R. Wilson | |||
| Rochelle Leibowitz | Oct. | 1978 | F. Roberts | |||
| Claude Pichet | Oct. | 1978 | N. Wallach | |||
| Theodore Wilson | Oct. | 1978 | J. Shaneson | |||
| Vernon Eagle Jr. | June | 1978 | A. Kosinski | |||
| Douglas Kurtz | June | 1978 | R. Wheeden | |||
| Susan Niefield | June | 1978 | B. Mitchell | |||
| Alvany Rocha | Jan. | 1978 | N. Wallach | |||
| William Heck | Oct. | 1977 | E. Ellentuck | |||
| Justine Skalba | Oct. | 1977 | C. Sims | |||
| Richard Stafford | Oct. | 1977 | M. O'Nan | |||
| Leh-Sheng Tang | Oct. | 1977 | H. Sussmann | |||
| Adalberto Bergamasco | June | 1977 | J. Barros-Neto | |||
| Ronald Dotzel | June | 1977 | G. Bredon | |||
| Sarah Glaz | June | 1977 | W. Vasconcelos | |||
| Charles Schwartz | June | 1977 | W. Hoyt | |||
| Maria Welleda Silva | June | 1977 | N. Wallach | |||
| Valdis Vijums | June | 1977 | J. Shaneson | |||
| Roman W-C Wong | June | 1977 | B. Mitchell | |||
| Edward Conjura | Jan. | 1977 | W. Petryshyn | |||
| Anna Silverstein | Jan. | 1977 | J.C.E. Dekker | |||
| Edgar Becerra-Bertram | Oct. | 1976 | J. Shaneson | |||
| Oscar Campoli | Oct. | 1976 | N. Wallach | |||
| Janey Daccach | Oct. | 1976 | P. Landweber | |||
| Linda Anne Grieco | Oct. | 1976 | C. Sims | |||
| Shyn-Ling Lee | Oct. | 1976 | S. Leader | |||
| Walter Mallory | Oct. | 1976 | E. Ellentuck | |||
| Isabel Miatello | Oct. | 1976 | G. Bredon | |||
| Roberto Miatello | Oct. | 1976 | N. Wallach | |||
| Sandra Brook | June | 1976 | S. Leader | |||
| Letitia Seese(Korbley) | June | 1976 | F. Treves | |||
| James Carrig | Jan. | 1976 | W. Vasconcelos | |||
| Andrew Chermak | Jan. | 1976 | D. Gorenstein | |||
| Stephen Fellner | Jan. | 1976 | J. Rosenstein | |||
| Ricardo Morais | Jan. | 1976 | E. Ellentuck | |||
| Luis Frota-Mattos | Oct. | 1975 | R. Goodman | |||
| Leslie Jones | 1975 | P. Landweber | ||||
| Gerard Kiernan | Oct. | 1975 | D. Gorenstein | |||
| Hsiao-wei Kuo | Oct. | 1975 | B. Muckenhoupt | |||
| Edward Lotkowski | Oct. | 1975 | R. Wheeden | |||
| Simon Aloff | June | 1975 | J. Shaneson | |||
| Ítalo Déjter | June | 1975 | T. Petrie | |||
| Gary Gundersen | June | 1975 | R. Goodman | |||
| Russell John | June | 1975 | R. Wheeden | |||
| Thomas Marlowe | June | 1975 | E. Taft | |||
| Petronije Milojevic | June | 1975 | W. Petryshyn | |||
| Jay Shapiro | June | 1975 | B. Osofsky | |||
| Ira J. Papick | Jan. | 1975 | D. Dobbs | |||
| Jui-Chi Chang | Oct. | 1974 | D. Gorenstein | |||
| Ching-an C. Cheng | Oct. | 1974 | B. Mitchell | |||
| Jeffrey Dawson | Oct. | 1974 | W. Vasconcelos | |||
| Edward Dougherty | Oct. | 1974 | J. Elliott | |||
| Kenneth Klinger | Oct. | 1974 | D. Gorenstein | |||
| Edward Boyno | June | 1974 | G. Bredon | |||
| Roosevelt Gentry | June | 1974 | V. Williams | |||
| Roy Goldman | June | 1974 | F. Treves | |||
| Jorge Hounie | June | 1974 | F. Treves | |||
| Roger Jones | June | 1974 | R. Gundy | |||
| Alan Meyerhoff | June | 1974 | T. Petrie | |||
| Noriko Yui | June | 1974 | R. Bumby | |||
| David Kopcso | Jan. | 1974 | R. Wilson | |||
| Antonio Gilioli | Oct. | 1973 | F. Treves | |||
| Brian Greenberg | Oct. | 1973 | W. Vasconcelos | |||
| Richard Guhl | Oct. | 1973 | J.C.E. Dekker | |||
| Saroj Jain | Oct. | 1973 | C. Faith | |||
| Marian Kelterborn | Oct. | 1973 | S. Leader | |||
| Ana Viola Prioli | Oct. | 1973 | W. Vasconcelos | |||
| Jorge Viola Prioli | Oct. | 1973 | B. Osofsky | |||
| Barry J. Arnow | June | 1973 | S. Leader | |||
| Wolf Iberkleid | June | 1973 | P. Landweber | |||
| Northrup Fowler | June | 1973 | J.C.E. Dekker | |||
| Eugene Gaydos | June | 1973 | S. Leader | |||
| Sarah J. Gottlieb | June | 1973 | E. Taft | |||
| Hu Sheng | June | 1973 | W. Vasconcelos | |||
| Rudolf Rucker | Jan. | 1973 | E. Ellentuck | |||
| Carl Bredlau | Oct. | 1972 | E. Ellentuck | |||
| Robert C. Miller | Oct. | 1972 | D. Gorenstein | |||
| Cristián Sánchez | June | 1972 | G. Bredon | |||
| David Slater | Oct. | 1972 | J. Rosenstein | |||
| Ann K. Boyle | Oct. | 1971 | C. Faith | |||
| Ted Williamson | Oct. | 1971 | W. Petryshyn | |||
| Reginald Luke | Oct. | 1971 | W. Mason | |||
| Louie Mahony | Oct. | 1971 | A. Kosinski | |||
| Ranga Rao | Oct. | 1971 | C. Faith | |||
| Ralph Artino | June | 1971 | J. Barros-Neto | |||
| Michael Fitzpatrick | June | 1971 | W. Petryshyn | |||
| Eileen Poiani | June | 1971 | B. Muckenhoupt | |||
| Ira Wolf | June | 1971 | M. Tierney | |||
| John Empoliti | Oct. | 1970 | C. Sims | |||
| James Roberts | Oct. | 1970 | S. Leader | |||
| David Addis | Jun | 1970 | L. McAuley | |||
| Peter Evanovich | Jun | 1970 | R. Cohn | |||
| Jeffrey Levine | Jun | 1970 | B. Osofsky | |||
| Roger Pitasky | Jun | 1970 | S. Leader | |||
| Philip Zipse | Jun | 1970 | S. Leader | |||
| Douglas McCarthy | Jan. | 1970 | J. Cronin-Scanlon | |||
| 1961-1969: 39 Ph.D.'s |
TOP | |||||
| Victor Camillo | Oct. | 1969 | C. Faith | |||
| John Cozzens | Oct. | 1969 | C. Faith | |||
| Charles Applebaum | June | 1969 | J.C.E. Dekker | |||
| Francis Christoph | June | 1969 | L. McAuley | |||
| Clifton Lando | June | 1969 | J. Cronin-Scanlon | |||
| John McDonald | June | 1969 | J. Elliott | |||
| William Quirin | June | 1969 | C. Sims | |||
| David Wilson | June | 1969 | L. McAuley | |||
| Barbara A. Lando | Jan. | 1969 | R. Cohn | |||
| Harry Berkowitz | Oct. | 1968 | P. Roy | |||
| Peter Fowler | Oct. | 1968 | J. Elliott | |||
| Charles Hallahan | Oct. | 1968 | E. Taft | |||
| Richard Munson | Oct. | 1968 | W. Hoyt | |||
| Floyd B. Cole | June | 1968 | J.C.E. Dekker | |||
| Richard Bauer | Jan. | 1968 | R. Artzy | |||
| Robert Fraser | Oct. | 1967 | S. Leader | |||
| Frode Terkelson | Oct. | 1967 | J. Elliott | |||
| Herbert I. Brown | 1966 | V. Cowling | ||||
| William H. Caldwell | 1966 | C. Faith | ||||
| Matthew Hassett | 1966 | J.C.E. Dekker | ||||
| Gerald S. Ungar | 1966 | L.F. McAuley | ||||
| Avraham Ornstein | Oct. | 1966 | C. Faith | |||
| Irving Bentsen | 1965 | R. Cohn | ||||
| V. Mancuso | Oct. | 1965 | B. Candless | |||
| Joseph Barback | Oct. | 1964 | J.C.E. Dekker | |||
| William R. Jones | 1964 | H. Zimmerberg | ||||
| William E. Kirwan | 1964 | M. Robertson | ||||
| Barbara Langer Osofsky | 1964 | C. Faith | ||||
| Fred J. Sansone | 1964 | J.C.E. Dekker | ||||
| Chung-Lie Wang | 1964 | R. Carroll | ||||
| Angelo Pelios | Jan. | 1964 | S. Leader | |||
| Donald Ferguson | Oct. | 1963 | J.C.E. Dekker | |||
| Eric S. Langford | 1963 | S. Leader | ||||
| Albert E. Livingston | 1963 | M. Robertson | ||||
| Israel Zuckerman | 1963 | R. Cohn | ||||
| Leonard Gewirtzman | Oct. | 1962 | K. Wolfson | |||
| Michael Lodato | Oct. | 1962 | S. Leader | |||
| Charles Franke | May | 1962 | R. Cohn | |||
| Richard J. Libera | May | 1962 | M. Robertson | |||
1951-1960: 7 Ph.D.'s |
TOP | |||||
| Ronald McHaffey | 1960 | K. Wolfson | ||||
| Aaron Siegel | 1960 | V. Shapiro | ||||
| John Bender | 1958 | M. Robertson | ||||
| Bernard Greenspan | 1958 | R. Cohn | ||||
| Richard Gabriel | 1955 | M. Robertson | ||||
| Richard K. Brown | 1952 | M. Robertson | ||||
| George Y. Cherlin | 1951 | M. Robertson | ||||
| 2019 | 2009 | 12 | 1999 | 11 | 1989 | 7 | 1979 | 6 | 1969 | 9 | |||||||||||||
| 2018 | 10 | 2008 | 11 | 1998 | 11 | 1988 | 8 | 1978 | 13 | 1968 | 6 | ||||||||||||
| 2017 | 14 | 2007 | 6 | 1997 | 15 | 1987 | 7 | 1977 | 13 | 1967 | 2 | ||||||||||||
| 2016 | 15 | 2006 | 9 | 1996 | 16 | 1986 | 9 | 1976 | 15 | 1966 | 5 | ||||||||||||
| 2015 | 16 | 2005 | 12 | 1995 | 19 | 1985 | 8 | 1975 | 13 | 1965 | 2 | ||||||||||||
| 2014 | 16 | 2004 | 15 | 1994 | 17 | 1984 | 7 | 1974 | 13 | 1964 | 7 | ||||||||||||
| 2013 | 12 | 2003 | 10 | 1993 | 10 | 1983 | 11 | 1973 | 15 | 1963 | 4 | ||||||||||||
| 2012 | 11 | 2002 | 3 | 1992 | 12 | 1982 | 7 | 1972 | 4 | 1962 | 4 | ||||||||||||
| 2011 | 7 | 2001 | 10 | 1991 | 15 | 1981 | 5 | 1971 | 9 | 1961 | 0 | ||||||||||||
| 2010 | 12 | 2000 | 6 | 1990 | 12 | 1980 | 6 | 1970 | 8 | 1960 | 2 |
Return to the top.
Data before 1984 compiled by M. Jablonski. Data 1984-2005 compiled by C. Weibel.
NOTICE: Matriculated undergraduates can request special permission for closed sections of fall and spring courses only through the automated system described below. This system is available only during the special permission period, beginning shortly before the term and running through the first week of classes.
There are four kinds of special requests students may need to make to the undergraduate office to gain admittance to certain courses.
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Fall 2018 Special Permission Rounds |
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| Ends: 4:00pm, Wednesday, August 29 |
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|
Ends: 4:00pm, Thursday, September 6 Round 3: |
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| NOTE: |
|
Please be aware of the following: Last day to DROP courses without a "W" is Tuesday, September 11 Last day to ADD courses is Wednesday, September 12 Course selection for new requests will be unavailable between the end of one round and the start of the next |
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With the approval of the department, undergraduates may take graduate courses, under three conditions.
Students wishing to take graduate courses should consult the chair of the honors committee (Committee on Honors and Prizes), who will verify the first two conditions. If approved by the chair of the honors committee, the application will be reviewed by the Graduate Director in consultation with the instructor responsible for the course.
Students who wish to take graduate courses should familiarize themselves with the other special opportunities available for undergraduates in the mathematics department, including the Honors Track, the Directed Reading Program, and Research Opportunities for Undergraduates. See our Undergraduate Program page for the relevant links.
Graduate courses are sometimes used to satisfy requirements for graduating with honors; specifically, a graduate course may count as an mathematics honors graduation unit. Students who wish to have a graduate course count as an honors unit must submit an application for approval of alternative honors graduation unit to the undergraduate math office.
Students in the honors track are encouraged to take some graduate courses in their senior year.
Here is the official list of homework problems from the 7th edition of the Kendall Hunt text.
THE FINAL EXAM WILL ASSUME FAMILIARITY WITH THE MATERIAL COVERED BY THESE PROBLEMS. THESE HOMEWORK PROBLEMS CONSTITUTE YOUR MAIN STUDY GUIDE FOR MATH 135.
The exercises are listed by section of the book. See the Lecture Topics page to determine which sections go with which lectures.
The answers (not solutions) to the odd-numbered problems in this list are in the back of the textbook. Here is a link to the answers (prepared by Prof. Melissa Lieberman) to the even-numbered problems starting with Chapter 2 in this list. But be sure to work on the problems yourself before you check your work by looking up the answers.
| SECTION | PROBLEMS |
|---|---|
| 1.2 | 2, 3, 5, 11, 15, 17, 19, 24, 28, 29, 33, 36. |
| 1.3 | 3, 5, 7, 10, 12, 13, 17, 20, 27, 29, 40. |
| 1.4 | 5, 9, 10, 11, 14, 17, 20, 24, 25b, 27, 28, 32, 33, 37, 38, 48. |
| 2.1 | 1, 2, 3, 4, 5, 6, 13, 15, 29. |
| 2.2 | 4, 6, 7, 11, 12, 13, 14, 15, 16, 18, 21, 22, 23, 25, 37, 38, 39, 41, 43, 49, 52, 55. |
| 2.3 | 15, 21, 25, 27, 29, 30, 37, 38, 39, 42, 43, 44, 45. |
| 2.4 | 1, 3, 6, 7, 10, 12, 19, 22, 27, 29, 32, 35, 36, 44, 47, 49. |
| 3.1 | 5, 6, 7, 8, 10, 11, 12, 14, 17, 19, 22, 23, 24, 26, 32, 33, 38, 41, 42, 43. |
| 3.2 | 7, 8, 9, 11, 13, 16, 18, 21, 24, 25, 27, 29, 33, 36, 41. |
| 3.3 | 1, 3, 4, 6, 11, 15, 17, 18, 20, 29, 37, 39, 41, 45, 52. |
| 3.4 | 3, 5, 7, 12, 13, 16, 19, 22, 34, 35. |
| 3.5 | 5, 6, 8, 9, 12, 15, 17, 19, 21, 24, 25, 27, 28, 29, 31, 32, 34, 38, 42, 46. |
| 3.6 | 1, 4, 5, 7, 8, 9, 11, 14, 26, 27, 31, 35, 36, 38, 43, 45. |
| 3.7 | 5, 8, 9, 14, 15, 21, 26, 28, 29, 30, 35, 36, 37, 38, 39, 40, 41, 46. |
| 3.8 | 3, 4, 8, 13, 19, 20, 23, 25, 28, 40, 42, 44, 45. |
| 4.1 | 4, 5, 11, 12, 17, 25, 27, 32, 36, 50. |
| 4.2 | 7, 10, 21, 22, 27, 30. |
| 4.3 | 5, 6, 11, 25, 34, 36, 40, 42, 45. |
| 4.4 | 10, 11, 12, 15, 20, 23, 27, 29, 33, 38, 47, 48. |
| 4.5 | 1, 3, 6, 7, 11, 12, 13, 17, 21, 23, 30, 37, 38, 39. Also: problems #17, 19 and 27 from Section 4.3. |
| 4.6 | 7, 8, 16, 27, 28, 34, 35, 39. |
| 4.7 | 1, 6, 13, 14, 15, 18, 25, 26. |
| 5.1 | 7, 8, 9, 10, 11, 17, 21, 23, 26, 40, 41, 43, 44. |
| 5.2 | 3, 4, 8, 25, 28. |
| 5.3 | 3, 4, 5, 6. |
| 5.4 | 2, 7, 9, 10, 11, 14, 15, 17, 23, 29, 32, 33, 35, 37, 40, 51, 52. |
| 5.5 | 1, 3, 6, 9, 10, 13, 15, 16, 21, 27, 30, 33, 40, 41, 44. |
Here is the official list of homework problems from the 7th edition of the Kendall Hunt text.
THE FINAL EXAM WILL ASSUME FAMILIARITY WITH THE MATERIAL COVERED BY THESE PROBLEMS. THESE HOMEWORK PROBLEMS CONSTITUTE YOUR MAIN STUDY GUIDE FOR MATH 135.
The exercises are listed by section of the book. See the Lecture Topics page to determine which sections go with which lectures.
The answers (not solutions) to the odd-numbered problems in this list are in the back of the textbook. Here is a link to the answers (prepared by Prof. Melissa Lieberman) to the even-numbered problems starting with Chapter 2 in this list. But be sure to work on the problems yourself before you check your work by looking up the answers.
| SECTION | PROBLEMS |
|---|---|
| 1.2 | 2, 3, 5, 11, 15, 17, 19, 24, 28, 29, 33, 36. |
| 1.3 | 3, 5, 7, 10, 12, 13, 17, 20, 27, 29, 40. |
| 1.4 | 5, 9, 10, 11, 14, 17, 20, 24, 25b, 27, 28, 32, 33, 37, 38, 48. |
| 2.1 | 1, 2, 3, 4, 5, 6, 13, 15, 29. |
| 2.2 | 4, 6, 7, 11, 12, 13, 14, 15, 16, 18, 21, 22, 23, 25, 37, 38, 39, 41, 43, 49, 52, 55. |
| 2.3 | 15, 21, 25, 27, 29, 30, 37, 38, 39, 42, 43, 44, 45. |
| 2.4 | 1, 3, 6, 7, 10, 12, 19, 22, 27, 29, 32, 35, 36, 44, 47, 49. |
| 3.1 | 5, 6, 7, 8, 10, 11, 12, 14, 17, 19, 22, 23, 24, 26, 32, 33, 38, 41, 42, 43. |
| 3.2 | 7, 8, 9, 11, 13, 16, 18, 21, 24, 25, 27, 29, 33, 36, 41. |
| 3.3 | 1, 3, 4, 6, 11, 15, 17, 18, 20, 29, 37, 39, 41, 45, 52. |
| 3.4 | 3, 5, 7, 12, 13, 16, 19, 22, 34, 35. |
| 3.5 | 5, 6, 8, 9, 12, 15, 17, 19, 21, 24, 25, 27, 28, 29, 31, 32, 34, 38, 42, 46. |
| 3.6 | 1, 4, 5, 7, 8, 9, 11, 14, 26, 27, 31, 35, 36, 38, 43, 45. |
| 3.7 | 5, 8, 9, 14, 15, 21, 26, 28, 29, 30, 35, 36, 37, 38, 39, 40, 41, 46. |
| 3.8 | 3, 4, 8, 13, 19, 20, 23, 25, 28, 40, 42, 44, 45. |
| 4.1 | 4, 5, 11, 12, 17, 25, 27, 32, 36, 50. |
| 4.2 | 7, 10, 21, 22, 27, 30. |
| 4.3 | 5, 6, 11, 25, 34, 36, 40, 42, 45. |
| 4.4 | 10, 11, 12, 15, 20, 23, 27, 29, 33, 38, 47, 48. |
| 4.5 | 1, 3, 6, 7, 11, 12, 13, 17, 21, 23, 30, 37, 38, 39. Also: problems #17, 19 and 27 from Section 4.3. |
| 4.6 | 7, 8, 16, 27, 28, 34, 35, 39. |
| 4.7 | 1, 6, 13, 14, 15, 18, 25, 26. |
| 5.1 | 7, 8, 9, 10, 11, 17, 21, 23, 26, 40, 41, 43, 44. |
| 5.2 | 3, 4, 8, 25, 28. |
| 5.3 | 3, 4, 5, 6. |
| 5.4 | 2, 7, 9, 10, 11, 14, 15, 17, 23, 29, 32, 33, 35, 37, 40, 51, 52. |
| 5.5 | 1, 3, 6, 9, 10, 13, 15, 16, 21, 27, 30, 33, 40, 41, 44. |
Interested in what you can do with, or in spite of, a degree in mathematics? The following are a few publicly-available profiles of Rutgers and Douglass math graduates and former faculty.
Allan Borodin of the University of Toronto is "the recipient of the 2008 CRM-Fields-PIMS Prize, in recognition of his exceptional achievement. Professor Borodin is a world leader in the mathematical foundations of computer science. His influence on theoretical computer science has been enormous, and its scope very broad. Jon Kleinberg, winner of the 2006 Nevanlinna Prize, writes of Borodin, "he is one of the few researchers for whom one can cite examples of impact on nearly every area of theory, and his work is characterized by a profound taste in choice of problems, and deep connections with broader issues in computer science." Allan Borodin has made fundamental contributions to many areas, including algebraic computations, resource tradeoffs, routing in interconnection networks, parallel algorithms, online algorithms, and adversarial queuing theory. Professor Borodin received his B.A. in Mathematics from Rutgers University in 1963, his M.S. in Electrical Engineering & Computer Science in 1966 from Stevens Institute of Technology, and his Ph.D. in Computer Science from Cornell University in 1969. From http://www.fields.utoronto.ca/press/07-08/071206.borodin.html .
Simeon DeWitt "was the first math major at Rutgers. He became General George Washington's Chief Geographer in the Revolutionary War. His maps of Yorktown helped win the final battle of that war. Afterwards (1784-1834) he was the Surveyor General for New York State; he helped to plan the Erie Canal, and to develop the grid system of streets and avenues in New York City, among other things." https://www.math.uh.edu/~tomforde/famous.html
Inessa Epstein is Vice President at Morgan Stanley. She earned a Ph.D. in Mathematics at UCLA and won the Sacks Prize for recognition for the best dissertation in the field of mathematical logic worldwide in 2008. From https://www.linkedin.com/in/inessa-epstein-ph-d-b0a92914 .
Lorraine Fesq is "the Chief Technologist for the Systems Engineering and Formulation Division at the Jet Propulsion Laboratory/California Institute of Technology. She leads NASA's Fault Management Community of Practice and co-leads the NASA Software Architecture Review Board. She recently spearheaded the development of the NASA Fault Management Handbook. Lorraine has contributed to over a dozen spacecraft projects and held a teaching and research position in MIT's Aeronautics/Astronautics Department. Lorraine holds two patents and has received numerous awards, including NASA's Public Service Medal and NASA's Exceptional Achievement Honor Award. She received the BA in Mathematics from Rutgers University and the MS and PhD in Computer Science from the University of California, Los Angeles." https://saturn2016.sched.org/speaker/lorraine_fesq.1uuuhx7u
Milton Friedman graduated from Rutgers University in 1932 with a bachelor degree in Mathematics. Milton Friedman was awarded the 1976 Nobel Memorial Prize in Economics "for his achievements in the fields of consumption analysis, monetary history and theory and for his demonstration of the complexity of stabilization policy." The year after, he retired from the University of Chicago to become a senior research fellow at the Hoover Institution at Stanford University. In 1988, after joining President Ronald Reagan's Economic Policy Advisory Board, he was awarded the National Medal of Science and the Presidential Medal of Freedom." From https://econwikis-mborg.wikispaces.com/Milton+Friedman
Ross Guberman "is the CEO of Great Forest, a leading sustainability consultancy that specializes in sustainable waste management solutions for Fortune 500 companies and organizations nationwide. Ross really does practice what he preaches, with a hands-on type vegan lifestyle and cycling everywhere he can. Don't be surprised if you spot him digging in the trash for a waste audit. At Great Forest Ross leads a team that specializes in assisting businesses and large commercial building operators in the development and implementation of successful sustainability programs and management systems that are customized for their specific needs. He has only stepped away from his sustainable endeavors once when he joined the Peace Corps as an environmental education volunteer in the Republic of Cape Verde in West Africa. Ross holds a B.A in mathematics from Rutgers University." http://greatforest.com/about/our-staff/
Karla L. Hoffman received "her B.A. in Mathematics from Rutgers University in 1969, and an M.B.A. and Doctor of Science in Operations Research from George Washington University in 1971 and 1975, respectively. She is a Full Professor in the Systems Engineering and Operations Research Department and served as Chair of the department for five years ending in 2001. Previously, she worked as a mathematician in the Operations Department of the Center for Applied Mathematics of the National Institute of Standards and Technology where she served as a consultant to a variety of government agencies. Dr. Hoffman has many publications in the fields of auction theory and optimization as well as a variety of publications detailing her applied work. .... Dr. Hoffman's primary area of research is combinatorial optimization and combinatorial auction design as well software development and testing. She has developed scheduling algorithms for the airline and trucking industries, developed capital budgeting software for the telecommunications industry, and consults to the Federal Communications Commission on combinatorial auction design and software development." From https://masonspeakers.gmu.edu/speakers/
Lawrence P. Horowitz is "a Senior Advisor at Outcome Capital and brings deep corporate and strategic expertise in the medical technology space. He is also a Principal at Doremus Advisory Services where he specializes in providing valuation in support of R&D portfolio analysis and transaction structuring. His past appointments include Principal with HVA which advised private and small cap life sciences companies on their business development transactions, Vice President of Development at C.R. Bard and Senior Director Business Development at American Cyanamid Company (acquired by American Home Products and now part of Pfizer). His academic involvement includes the Rutgers Center for Management Development, Rutgers Business School, and the University of Umea (Sweden) Biotech Incubator where he has taught courses in life-science entrepreneurship and financial analysis of R&D investment. He has an MBA in Finance from Columbia Graduate School of Business, an MS in Industrial Engineering from NYU, and a BA in Mathematics from Rutgers College where he graduated with highest honors as a Henry Rutgers Scholar. He teaches Principles of Finance and Accounting for the Professional Science Master's Program at Rutgers University." http://mbs.rutgers.edu/about/faculty
Jean-Michelet Jean-Michel "was born in Petit-Goave, Haiti where he received his baccalaureat (high school diploma) in 1985. He then received his B.A. in Mathematics from Rutgers University in 1993 and his Ph.D. in Applied Mathematics from Brown University in 2002. His research interests are in the fields of differential equations and dynamical systems." from http://www.princeton.edu/~wmassey/NAM03/. He is now Assistant Professor at South Carolina State University.
Matt Kohut is currently teaching mathematics at A.E. Wright Middle School in Calabasas, California. After graduating with his bachelor’s degree in mathematics from Rutgers University, Matt attended law school at the Rutgers School of Law - Camden. Subsequently, he clerked for the Honorable Joseph F. Lisa, Presiding Judge of the New Jersey Appellate Division, and worked as an attorney for the firm of Feintuch, Porwich and Feintuch. He then decided to return to mathematics through the Math for America fellowship program.
Carl Martin is "a pop, electronic and alternative singer/songwriter who cites George Michael and Natasha Bedingfield as his major influences. At age 17, he returned to the USA, moving to Arizona to complete his high school education. He received a BA in mathematics from Rutgers University in 2012. .... Martin is currently working with 90's Rock Music Icon Anthony Kirzan of the Spin Doctors ....." See http://www.cdbaby.com/Artist/CarlMartin and https://www.youtube.com/watch?v=ThPXVFXK268&list=PLj6N7pQVWRNCij2WMQmWAHRZkhwxUbUem&index=5"
MaryAnn Millar is "a Board Certified Gynecologist and a Fellow of the American College of Obstetricians and Gynecologists. She is Clinical Assistant Professor, Upstate University Hospital. She has a B.A. in Mathematics from Rutgers University and was awarded her M.D. from the State University of New York in Buffalo. Her residency in Ob/Gyn was completed in Syracuse at Upstate University Hospital." From http://drmaryannmillar.com/about.htm
Tom Peters is "a software engineer at Ufora, Inc. He has worked on a multiple aspects of Ufora's auto-parallel, multi-host, open source Python project, Pyfora. He has a PhD in mathematics from Columbia University, where he specialized in low-dimensional topology, using Heegaard Floer homology to compute invariants of manifolds, and has a BA in mathematics from Rutgers University." http://mlconf.com/mlconf-2016-atlanta/
Elizabeth Ricci (VirMedica) is an "accomplished global software executive with a proven track record in engineering, project management and product development, with an emphasis on quality, timeliness and customer success. In her prior engagement as VP of engineering for PHT Corporation, she was responsible for all core products and was instrumental in rolling out the company's next generation technologies. Prior positions include senior VP, products at Kadient, Inc., and senior VP, global products at Authoria, Inc. Elizabeth holds a B.A. in Mathematics from Rutgers University and a M.S. in Mathematics from Northeastern University." From http://virmedica.com/category/press-release/
Stephen Rosen is a "Managing Director at FTI Consulting and is based in New York. He is a member of the Insurance and Pension group in the Forensic and Litigation Consulting segment and heads the Pension practice. ..... Mr. Rosen's work includes the design, implementation, and administration of all forms of qualified employee benefit plans .... Mr. Rosen holds a B.A. in mathematics from Rutgers University. He completed coursework in business administration from the Wharton School of Business and actuarial science from the University of Iowa." from http://www.fticonsulting.com/our-people/stephen-h-rosen.
Timothy Rudderow "co-founded Mount Lucas in 1986 and is the firm's president, overseeing all of its activities. He has been in the investment business since the late 1970s, when he worked at Commodities Corporation with the late Frank Vannerson, another co-founder of Mount Lucas. Tim specializes in the design and management of technical trading systems applied to the futures, equity, and fixed income markets. He holds a B.A. in Mathematics from Rutgers University and an M.B.A. in Management Analysis from Drexel University." https://www.mtlucas.com/OurTeam.aspx?content=BioPrincipals
Jeffrey Rubin is Professor in the Department of Economics at the Institute for Health, Health Care Policy, and Aging Research New Brunswick Campus. "His research is focused on health economics including the impact of health insurance on use of care. He also has served on a subcommittee on the Governor's Commission that examined the situation facing hospitals in New Jersey, and has published papers on the costs of mental illness and the economic consequences of spinal cord injury. Rubin received his B.A. in mathematics from Rutgers College and his Ph.D. from Duke University." http://urwebsrv.rutgers.edu/experts/index.php?a=display&f=expert&id=1465.
Larry Sher is "a member of the actuarial consulting team and part of the senior leadership for October Three. Larry also is head of [their] dispute resolution practice, which provides support to clients in disputes related to their retirement plans, both in litigation and otherwise. .... Larry received a B.A. in Mathematics from Rutgers University. He has been a Board Member and Vice-Chair of the Actuarial Standards Board, the group that establishes actuarial standards of practice for all US actuaries. Larry has also been on the Boards of the American Academy of Actuaries and the Conference of Consulting Actuaries, and was recently President of the Conference. Larry has written several articles on cash balance and other defined benefit plan issues and is a frequent speaker at industry and professional seminars." from http://www.octoberthree.com/who-we-are/larry-sher
Robert L. Strawderman, joined Cornell in 2000, and previously a faculty member in the Department of Biostatistics at the University of Michigan. "His major research area is survival analysis, a branch of statistics that deals with characterizing the time until an event, such as the death of an organism or the failure of a machine, occurs. Professor Strawderman's particular research interests lie in the study of events that can recur, such heart attacks or epidemics. He collaborates extensively with subject matter specialists in applying these and other statistical methods to problems in health services, cardiology, epidemiology, demography, and veterinary medicine. Strawderman is on the faculty of two departments at Cornell, Biological Statistics and Computational Biology (BSCB) and Statistical Science..... Strawderman has a BA in Mathematics from Rutgers." https://www.orie.cornell.edu/news/index.cfm?news_id=62175&news_back=category%3D62137
Jeffrey E. Steif Professor and winner of the Eva and Lars Gardings prize in Mathematics. Department of Mathematics Chalmers University of Technology. http://www.chalmers.se/CV/steif.pdf
Michael Yatauro is on the faculty at PSU-Brandywine. He earned "a B.A. in mathematics from Rutgers University, an M.A. in mathematics from the University of Pennsylvania, and a Ph.D. in mathematics from Stevens Institute of Technology. Dr. Yatauro views mathematics as a form of artistic expression and a scientific tool of great utility. His primary research is in the field of graph theory. In particular, he is interested in determining structural aspects of a graph by studying its degree sequence. ...." from http://brandywine.psu.edu/person/michael-yatauro
Tony Trongone joined Pemberton Township Schools as Superintendent [of Schools] in July, 2015. Before coming to Pemberton he served as superintendent of schools for Berlin Borough and Gibbsboro Public Schools, a post he held for five years. His previous experience includes serving as district supervisor of curriculum and instruction for Cherry Hill Public Schools, supervisor of mathematics for Gloucester City School District, and secondary mathematics teacher at Northern Burlington Regional High School in Columbus, NJ. Trongone earned his master's degree in Educational Administration from Wilmington University and his BA in Mathematics from Rutgers University. He prescribes to the theory of high challenge with high support, believing all students can learn and it is the responsibility of educators to support students in reaching their fullest potential. He is committed to providing Pemberton students with a rigorous instructional program and multiple pathways to college and career readiness. He is currently a Trustee for the New Jersey School Board Insurance Group and has served as president-elect of the Association of Mathematics Teachers of New Jersey. His other professional memberships include the Association for Supervision and Curriculum Development, the National Staff Development Council and the New Jersey Principals and Supervisors Association, among others." From http://www.pemberton.k12.nj.us/administration/
Emily Sergel has been included in the inaugural class of winners of the Dissertation Award of the Association for Women in Mathematics. Emily completed her PhD at UC-SD in 2016 and now enjoys an NSF Postdoc at the University of Pennsylvania. She graduated from SAS-Rutgers in 2009.
Roy Goldman is former Chief Actuary at Humana Inc. http://press.humana.com/press-release/current-releases/humana-names-roy-goldman-vice-president-and-chief-actuary.
William "Brit" Kirwan is Chancellor Emeritus of the University System of Maryland. He is a nationally recognized authority on critical issues shaping the higher education landscape. Prior to his 13 years as chancellor of the University System of Maryland, Kirwan served as president of Ohio State University, president of the University of Maryland, College Park, and as a member of the University of Maryland faculty. He is a sought-after speaker on a wide range of topics, including access and affordability, cost containment, diversity, innovation, higher education's role in economic development, and academic transformation. Along with his national and international presentations on key issues, he has authored many articles on issues in higher education and has been profiled and cited in academic and mainstream publications. Currently, he chairs the National Research Council Board of Higher Education and Workforce and is past chair of the boards of the Business-Higher Education Forum, the Association of Public and Land Grant Universities (APLU), the American Council for Education (ACE), and the American Association of Colleges and Universities (AAC&U). Among other honors, he is the recipient of the 2009 Carnegie Corporation Academic Leadership Award and the 2010 TIAA Theodore Hesburgh Leadership Excellence Award. He received his Ph.D. in Mathematics from Rutgers, The State University of New Jersey. From http://agb.org/bios/william-e-kirwan .
Zoltan Szabo is a Professor of mathematics at Princeton University. With Peter Ozsvath he created Heegaard Floer homology, a homology theory for 3-manifolds. For this contribution to the field of topology, Ozsvath and Szabo were awarded the 2007 Oswald Veblen Prize in Geometry. They received Ph.D.'s from Rutgers University in 1994. See https://en.wikipedia.org/wiki/Peter_Ozsv%C3%A1th and https://en.wikipedia.org/wiki/Zolt%C3%A1n_Szab%C3%B3_(mathematician).
Camelia Pop "received her Ph.D. in mathematics from Rutgers University in 2012. She was a Hans Rademacher Instructor in the Department of Mathematics at the University of Pennsylvania from 2012ÂÂ-15. Her research interests are in partial differential equations and stochastic processes, including applications to population genetics and mathematical finance." From https://cse.umn.edu/r/new-college-of-science-and-engineering-faculty-for-2015-16/.
Emilie Purvine "completed her B.S. in Mathematics from University of Wisconsin, Madison in 2006 and Ph.D. in Mathematics from Rutgers University, New Jersey, in 2011. Emilie then joined PNNL as a Postdoc doing work on semantic knowledge systems and graph theory. She became a permanent staff scientist in November of 2012 and continues to work on graph theory and discrete math applied to cyber security and the power grid. Recently, Emilie has also begun work on applying methods from algebraic topology to information integration and evolution of cyber systems." From http://cybersecurity.pnnl.gov/principalinvestigators.stm.
Noriko Yui is "a professor of mathematics at Queen's University in Kingston, Ontario. A native of Japan, Yui obtained her B.S. from Tsuda College, and her Ph.D. in Mathematics from Rutgers University in 1974 under the supervision of Richard Bumby. Known internationally, Yui has been a visiting researcher at the Max-Planck-Institute in Bonn a number of times and a Bye-Fellow at Newnham College, University of Cambridge. Her research is based in arithmetic geometry with applications to mathematical physics and notably mirror symmetry. Currently, much of her work is focused upon the modularity of Calabi-Yau threefolds. .... Professor Yui has been the managing editor for the journal "Communications in Number Theory and Mathematical Physics" since its inception in 2007. She has edited a number of monographs, and she has co-authored two books." from https://en.wikipedia.org/wiki/Noriko_Yui.
Daniel E. Gorenstein (January 1, 1923 to August 26, 1992) was an American mathematician. He earned his undergraduate and graduate degrees at Harvard University, where he earned his Ph.D. in 1950 under Oscar Zariski, introducing in his dissertation a duality principle for plane curves that motivated Grothendieck's introduction of Gorenstein rings. He was a major influence on the classification of finite simple groups. After teaching mathematics to military personnel at Harvard before earning his doctorate, Gorenstein held posts at Clark University and Northeastern University before he began teaching at Rutgers University in 1969, where he remained for the rest of his life. He was the founding director of DIMACS in 1989, and remained as its director until his death. Gorenstein was awarded many honors for his work on finite simple groups. He was recognised, in addition to his own research contributions such as work on signalizer functors, as a leader in directing the classification proof, the largest collaborative piece of pure mathematics ever attempted. In 1972 he was a Guggenheim Fellow and a Fulbright Scholar; in 1978 he gained membership in the National Academy of Sciences and the American Academy of Arts and Sciences, and in 1989 won the Steele Prize for mathematical exposition." from https://en.wikipedia.org/wiki/Daniel_Gorenstein.
Helmut Hofer is "a German-American mathematician, one of the founders of the area of symplectic topology. He is a member of the National Academy of Sciences, and the recipient of the 1999 Ostrowski Prize and the 2013 Heinz Hopf Prize. Since 2009, he is a faculty member at the Institute for Advanced Study in Princeton. He currently works on symplectic geometry, dynamical systems, and partial differential equations. His contributions to the field include Hofer geometry." From https://en.wikipedia.org/wiki/Helmut_Hofer
Jane Scanlon "received her doctorate from the University of Michigan in 1949 under the direction of Erich H. Rothe. After two postdoctoral fellowships, from the Office of Naval Research and the University of Michigan, she worked as a mathematician in the Air Force and for the American Optical Company, and as an instructor at Wheaton College and Stonehill College. In 1957, she moved to the Polytechnic Institute of Brooklyn, and in 1965 took a position as professor at Rutgers University. She became professor emeritus in 1991. She was awarded a Visiting Professorship for Women from the National Science Foundation to spend the 1984-1985 year at the Courant Institute of Mathematical Sciences. At the Joint Mathematics Meetings in Boulder in August 1989, she presented the Pi Mu Epsilon J. Sutherland Frame Lecture. Scanlon's research has focused on mathematical biology, singular perturbation theory, and nonlinear analysis. She has published more than fifty papers, two research monographs (Fixed Points and Topological Degree in Nonlinear Analysis and Mathematical Aspects of Hodgkin-Huxley Neural Theory), as well as a textbook (Differential Equations: Introduction and Qualitative Theory)." From http://www.awm-math.org/noetherbrochure/Scanlon85.html
Thomas Spencer is Professor in the School of Mathematics at the Institute for Advanced Study in Princeton. He "has made major contributions to the theory of phase transitions and the study of singularities at the transition temperature. In special cases, he and his collaborators have proved universality at the transition temperature. Spencer has also worked on partial differential equations with stochastic coefficients, especially localization theory. He is presently developing a mathematical theory of supersymmetric path integrals to study the quantum dynamics of a particle in random media. His other interests include random matrices, chaotic behavior of dynamical systems, and nonequilibrium theories of turbulence." https://www.ias.edu/scholars/spencer.
Math 151–152 is the introductory year course in the calculus sequence in New Brunswick for majors in the mathematical sciences, the physical sciences, and engineering.
Students who intend to go directly from Math 135 to Math 152 will need to fill in some gaps through self-study.
The details are in the document:
Transferring From 135 to 152
Jon Rogawski & Colin Adams, Calculus, Early Transcendentals, 3rd edition, plus WebAssign
Purchase options:
The 3rd edition is purchased with a WebAssign access code which will be used throughout the sequence 151-152-251. The publisher is unable to replace this code if it is lost, so be careful to retain it.(The third edition was introduced beginning in Fall 2015.)
{rucourse course = "01:640:152" semester = "92017"}
Math 151–152 is the introductory year course in the calculus sequence in New Brunswick for majors in the mathematical sciences, the physical sciences, and engineering.
Students who intend to go directly from Math 135 to Math 152 will need to fill in some gaps through self-study.
The details are in the document:
Transferring From 135 to 152
Jon Rogawski & Colin Adams, Calculus, Early Transcendentals, 3rd edition, plus WebAssign
Purchase options:
The 3rd edition is purchased with a WebAssign access code which will be used throughout the sequence 151-152-251. The publisher is unable to replace this code if it is lost, so be careful to retain it.(The third edition was introduced beginning in Fall 2015.)
{rucourse course = "01:640:152" semester = "92016"}
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During the first year of graduate studies, students are mainly focused on taking classes, preparing for the written qualifying exam and adjusting to graduate student life at Rutgers.
During the second year students are focused on identifying potential research areas and advisors, and preparing for the oral qualifying exam.
The graduate program mentoring committee consists of faculty members who are each assigned a group of entering students. The assignment of mentors to students is not necessarily based on research interests. Rather the mentor is available to the student to discuss concerns that arise during the first years, and to help the student make contacts with potential research advisors. The graduate program director also serves a general advising role for all students.
The assignment of mentors to students should not bound students to limit their interaction with other faculty members in any way; we courage students to establish their own informal mentoring relationships with additional faculty. You may find useful information in the handbook How to get the mentoring you want, published by the graduate school of the University of Michigan.
The Department of Mathematics at Rutgers-New Brunswick is located in the Hill Center* on the Busch Campus of Rutgers University in Piscataway, NJ. (Piscataway is just across the Raritan River from New Brunswick.)
The University page for Hill Center has a map and driving directions. Please click on the map to zoom out.
Also, you can find more specific directions to the Hill Center by going to Google Maps and entering your starting location. Make sure to click "The Hill Center" link on the left hand side and then click "Get directions" and also select "to here" or "from here", depending on what you need. (The reason for doing this is that Google Maps, and other maps sites, does not have the correct location for the Hill Center. Hill Center is across Frelinghuysen Road from the northeast corner of the Rutgers Golf Course. )
*The rigorous definition is as follows: Longitude 74.47168 W, Latitude 40.52180 N.
Because of road construction on and near the Busch campus, the driving instructions given below may change. Some information about the current state of construction and detours can be found on the Route 18 Construction Information web page. The University also provides updated directions at University directions.
NOTE: Rutgers University has five campuses in New Brunswick. The Department of Mathematics is located on the Busch Campus. Road signs marked "Rutgers University" may lead to the wrong campus. If you follow signs, those directing you to "Rutgers Stadium" will bring you to Busch Campus, the location of the Mathematics Department.
From the NJ Turnpike: Take Exit 9 and proceed north (west) on New Jersey Route 18. It is recommended that you use either of the two leftmost lanes of Route 18. Follow Route 18 through New Brunswick and across the John A. Lynch Memorial Bridge. (Ignore the "George Street Rutgers University" exit.) Exit Route 18 at Campus Road (the sign also says Rutgers Stadium and Busch Campus). At the traffic circle, turn right onto Bartholmew Road. At the stop sign, turn left onto Brett Road. Follow Brett road until it vanishes in a maze of parking lots. Park in lot 64, 60A, 60B (or at lot 67 near Brett and Bartholomew Roads) and put your parking permit in the front window. If you do not have a permit, please to go the Department Office(Hill 346 or 311) and get a one-day guest permit. Hang the permit on your rearview mirror to avoid ticketing. The Hill Center is the seven story dark brick building, located just behind the CORE building.
From Interstate Highway 287: Take the exit marked "River Road, Bound Brook, Highland Park" (exit 9), following River Road east toward Highland Park. Continue on River Road past Colgate and past the traffic light at Hoes Lane. At the next left turn lane (not the next possible next left turn), turn left onto Sutphen Rd. At the 4 way stop just beyond the stadium, turn left and follow Frelinghuysen Road. At the traffic circle, continue straight onto Bartholomew Road (i.e., ignore the first right turn and do not continue around the circle). At the stop sign, turn left onto Brett Road. Follow Brett road until it vanishes in a maze of parking lots. Park as indicated above.
Note: If you miss the left turn onto Sutphen Rd., you will soon pass under the overpass for Route 18. Make the next left onto Route 18 North. Exit Route 18 at Campus Road (the sign also says Rutgers Stadium and Busch Campus). At the traffic circle, turn right onto Bartholmew Road. At the stop sign, turn left onto Brett Road. Follow Brett road until it vanishes in a maze of parking lots. Park as indicated above.
From Long Island or New York City Airports: Take the Verrazzano Bridge to the Goethals Bridge to the New Jersey Turnpike and proceed as above.
The Suburban Transit (1-800-222-0492) runs convenient express buses from New York City to New Brunswick. There a few places that they pick up and drop off from. Please check the website to see what is available.
Train service to New Brunswick is provided by Amtrak and NJ Transit. This may require changing trains in Trenton or NY/Penn Station. Amtrak info: 1-800-USA-RAIL; NJ Transit: 1-800-772-2222 from NJ; from out of state: 1-973-762-5100.
Once you reach downtown New Brunswick you can get to the Hill Center by taxi in 10 minutes for approximately \(10.00, or by campus bus FREE, in about 10-20 minutes. Buses leave at 10 minute intervals. To reach a campus bus stop from the New Jersey Transit bus station on Albany Street, walk west on Albany St., then take the first right onto George Street and walk two blocks to the first traffic light. Turn left onto Hamilton Street, walk one block and you will see the campus bus shelter on your right across College Avenue. To reach the bus stop from the train station at Albany and Easton, walk uphill on Easton Ave. and turn right onto Hamilton Street at the second traffic light. Walk one block and you will see the campus bus shelter on your left. Take an "A", or "H" bus marked to Busch Campus and get off at the Hill Center.
How to walk from the New Brunswick Train Station to the Hill Center on the Busch Campus of Rutgers University
The nearest airport is Newark Liberty International Airport. If you fly there, you can either
From Kennedy airport, you can take the Airporter (call 1-800-385-4000 for reservations) to the Hilton Hotel in East Brunswick (it makes an intermediate stop at Newark Airport). The cost is \)38. The cost of a taxi could be as high as $120 plus tolls plus tip.
You should never have to fly via LaGuardia. But if you do, from LaGuardia airport, you can either rent a car or take public transportation to New York City and then on to New Brunswick.
Last Update: March 28, 2006 [to enter the name of Busch Campus Drive]
Previous Update: June 14, 2005. [To implement the new Busch-College Ave walkway]
First Version: Jan. 14, 2002.
Written By Doron Zeilberger.
Note Added Aug. 2, , 2004: The construction seems to be over, at least for now, and the route below is again passable. [added June 20, 2005: the "route below" refers to the old route, so the above statement is true but unnecessary]
There is a safe way to walk, especially now with the new walkway. The whole way takes me appx. 32 minutes [using the new walkway] or 42 minutes [using the old route via Johnson Drive and the Stadium]. The instructions below also apply to biking, and the times then should be divided by 3.
New Way (June 2005):
[OLD WAY: (be careful when you cross River Rd)
 |
Department of Mathematics Department of Mathematics
Rutgers University Hill Center - Busch Campus 110 Frelinghuysen Road Piscataway, NJ 08854-8019, USA Phone: +1.848.445.2390 Fax: +1.732.445.5530 |
