Outreach

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.

Programs for Students

Programs for Teachers of Mathematics

16:640:566 - Axiomatic Set Theory

Math 350 Section 4 Fall 2018

01:640:350:04 Linear Algebra Section

This course is a proof-based continuation of Math 250, covering Abstract vector spaces and linear transformations, inner product spaces, diagonalization, and canonical forms. 

Prerequisites: 

CALC4, Math 250 and Math 300

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.

• Class

  TF2

  1020 A - 1140

  BE-250

  LIV

• Office Hours:  Monday 2:15-3:15pm, Hill 726 
• Contact Information:  e-mail ctw@math.rutgers.edu

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.  

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). 

Tentative Course Syllabus

Main 350 course page 

Exam Dates

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.  

Special Accommodations

Students with disabilities requesting accommodations must follow the procedures outlined at https://ods.rutgers.edu/students/applying-for-services

Academic Integrity

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.

Problem Sets

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. 

Problem Sets from 2017

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.

 Problems in pdf.

Problem in pdf.   Selected Answers to PS5, PS6, PS7. 

(Problems in pdf)

Problems in pdf) 

Problems in pdf.

Last year's second midterm with answers. 

 Answers and practice problems for the final.  Last year's final and solutions.

More review problems for the second midterm.

Pratice problems for the second exam:

(Problems in pdf)

Recommended Practice Problems (the problem sets from 2016)

Michael Weingart's homepage

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

Courses - Calculus I - Fall 2018 - draft

Courses

01:640:135 - Calculus I

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.

Course Materials

• Spring 2018

Previous Semesters

• Fall 2017
• Spring 2017
• Fall 2016
• Spring 2016
• Fall 2015
• Spring 2015
• Fall 2014
• Spring 2014
• Fall 2013
• Spring 2013
• Fall 2012
• Spring 2012
• Fall 2011
• Spring 2011
• Fall 2010
• Spring 2010
• Fall 2009     Instructors' web pages
• Summer 2009
• Spring 2009

Schedule of Sections

01:640:135 Schedule of Sections

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JExtBOX test

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.

Test Page iframe

Schedule of Sections

Resources for Visitors

Reimbursement Form

W-9 Form

Honorarium Form

W8 BEN

ICED Form

Joomla Tips

     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

test all courses fall CURRENT - MODULE

test all courses fall 2016

Proficiency Exams

Undergraduate Proficiency Examinations

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. A student earning full-credit proficiency for a course gets credit for the course as though he/she took and passed the course. The course will appear on the students university transcript with a designation such as to "By examination". The student will also receive any credits towards graduation that are normally provided for passing the course.
• Mathematics Department internal proficiency. A student earning internal proficiency for a course (referred to below as course X) is considered to have passed the course for the following purposes:
  • If course X is a requirement for the math major or math minor, then that requirement is considered to have been satisfied.
  • If course X is a prerequisite for another math department course (referred to below as course Y) then that prerequisite is considered to be satisfied. To register for course Y, a student who has proficiency credit for X (and has satisfied all other prerequisites for course Y) will be given a prerequisite override from the undergraduate office. (In the case that the course Y is offered by another department, the student will need a prerequisite override from the department offering course Y. A student who has received internal proficiency for course X, may request that the math advisor contact the offering department informing the department offering course Y that the student has passed a proficiency exam for course X. The offering department has the final decision whether they will accept that as satisfying the prerequisite for course Y.)
  Course X will not appear on the student's transcript and will not earn credits toward graduation.

Full-credit proficiency exams

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.

Mathematics Department internal proficiency exams

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.

Evaluation of internal proficiency exams

• Course 025. A student receiving a grade of at least C will be allowed to register for 026.
• Course 026. A student receiving a grade of C will be allowed to register for 111 (Precalculus I). A student receiving a grade of B or higher will be allowed to register for 115 (Precalculus)
• Course 250. Proficiency credit for 250 requires a grade of at least B on the exam.

Restrictions

• A student must have the required prerequisites for the course in which the proficiency exam is to be taken.
• A proficiency exam may not be taken in a course in which a student has previously enrolled and received a grade.
• A proficiency exam may not be taken in a course for which a student is currently registered (at Rutgers New Brunswick) and for which classes have started.
• A student may take a proficiency exam in a given course only once. 

Dates

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.

Proficiency Exams

Undergraduate Proficiency Examinations

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. A student earning full-credit proficiency for a course gets credit for the course as though he/she took and passed the course. The course will appear on the students university transcript with a designation such as to "By examination". The student will also receive any credits towards graduation that are normally provided for passing the course.
• Mathematics Department internal proficiency. A student earning internal proficiency for a course (referred to below as course X) is considered to have passed the course for the following purposes:
  • If course X is a requirement for the math major or math minor, then that requirement is considered to have been satisfied.
  • If course X is a prerequisite for another math department course (referred to below as course Y) then that prerequisite is considered to be satisfied. To register for course Y, a student who has proficiency credit for X (and has satisfied all other prerequisites for course Y) will be given a prerequisite override from the undergraduate office. (In the case that the course Y is offered by another department, the student will need a prerequisite override from the department offering course Y. A student who has received internal proficiency for course X, may request that the math advisor contact the offering department informing the department offering course Y that the student has passed a proficiency exam for course X. The offering department has the final decision whether they will accept that as satisfying the prerequisite for course Y.)
  Course X will not appear on the student's transcript and will not earn credits toward graduation.

Full-credit proficiency exams

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.

Mathematics Department internal proficiency exams

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.

Evaluation of internal proficiency exams

• Course 025. A student receiving a grade of at least C will be allowed to register for 026.
• Course 026. A student receiving a grade of C will be allowed to register for 111 (Precalculus I). A student receiving a grade of B or higher will be allowed to register for 115 (Precalculus)
• Course 250. Proficiency credit for 250 requires a grade of at least B on the exam.

Restrictions

• A student must have the required prerequisites for the course in which the proficiency exam is to be taken.
• A proficiency exam may not be taken in a course in which a student has previously enrolled and received a grade.
• A proficiency exam may not be taken in a course for which a student is currently registered (at Rutgers New Brunswick) and for which classes have started.
• A student may take a proficiency exam in a given course only once. 

Dates

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.

01:640:350:H - Linear Algebra Honors Section

Prof. Weibel (640:350:H1) — Fall 2017

This course is a proof-based continuation of Math 250, covering Abstract vector spaces and linear transformations, inner product spaces, diagonalization, and canonical forms. 

Prerequisites: 

CALC4, Math 250 and Math 300

Text: Linear Algebra (4th ed.), by Friedberg, Insel and Spence,
Prentice Hall, 2003   ISBN 0-13-008451-4.

• Lectures MW6 (5:00-6:20PM) in ARC 333
• Weibel's Office hours: Monday 1:30-2:45 PM; Wednesday 10:30AM-12 noon

Tentative Course Syllabus

Homework Assignments

td>6.3 #17,22(c); 6.5 #6,7

Main 350 course page 
Return to Weibel's Home Page

Schedule of Sections:

Programs for Students

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.

Programs for Teachers of Mathematics

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:

• Making math make sense
• Explaining and justifying mathematical work
• Strategically employing mathematical reasoning
• Organizing computational procedures

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.

Read more: Programs for Teachers of Mathematics

Ph.D. Recipients, 1950 - Present

Mathematics Graduate Program

Most Recent Graduates

• 42 graduates 2015-2019
• 58 graduates 2010-2014
• 43 graduates 2005-2009
• 43 graduates 2000-2004
• 72 graduates 1995-1999
• 66 graduates 1990-1994
• 75 graduates 1980-1989
• 107 graduates 1970-1979
• 39 graduates 1961-1969
• 7 graduates 1950-1960
• A count of doctorates by year

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.

Rutgers Math Phd's 1951-Present

Number of doctorates by year:

Return to the top.
Data before 1984 compiled by M. Jablonski. Data 1984-2005 compiled by C. Weibel.

Special Permission System

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.

• Admission to some honors courses is by permission of the department.
• Admission to closed sections of regular courses requires a special permission number.
• Admission to courses for which the prerequisites have been filled in an unusual way may require a prerequisite override.
• Admission to Precalculus, Calculus I or Calculus II previously failed twice

Procedures

• Honors courses
• Prerequisite overrides
• Closed sections
• Re-taking Precalculus, Calculus I or Calculus II previously failed twice
• Automated Web System

Honors Courses

If you are not yet registered in an honors course or an honors section of a regular course in the forthcoming semester, you need to apply for special permission by completing the appropriate Special Permission Form available online. DO NOT use the Automated Web System to submit your request!

Requests for fall courses may be submitted during the previous spring or summer; requests for spring courses during the previous fall. When filling out the form, make sure you give a valid reason for your request (e.g. previous honors course, recommendation of professor, etc). Requests will be processed as they are received, so long as necessary information (current grades, references, ...) is available.

If you are already registered in an honors section for the forthcoming semester and would like to switch to another section of the SAME course, you need to use the Automated Web System to submit your request during one of the three rounds. Please see below for the dates.

Prerequisite overrides

A student who is unable to register for a course because he or she lacks the proper prerequisites should not request a special permission number. Under some circumstances – for example, if the student has taken appropriate prerequisite courses elsewhere, and these are not yet credited to his or her Rutgers transcript – please fill out a prerequisite override form.

If justification for receiving a prerequisite override is too complicated to adequately describe on the form on the online website, please go to the Advising Office of the Math Dept, room 308 of the Hill Center.

Closed Sections

Because of the high demand for many of the math department classes, many course sections are filled early in registration. Once the course is filled it is listed as Closed. However, we generally leave some spots open in the course to accomodate late registrants and transfer students. These final spots are assigned through the special permission for closed section process which starts shortly before the semester begins and continues through the first week of the semester. A student should first attempt to register through the Rutgers Web Registration System. If all sections that the student can take are closed, the student should submit a special permission form once the special permission process opens. (The schedule for the process will be listed on this web page shortly before the semester begins.)

The department makes a significant effort to accommodate as many students as possible during the process, and generally satisfies most of them, but unfortunately there is often not enough room to grant all requests.

  Re-taking Precalculus, Calculus I or Calculus II previously failed twice

Students who have failed Precalculus, Calculus I or Calculus II twice are not allowed by WebReg to register for the course a third time. These students should fill out the following online form and meet with the appropriate advisor. Students who have failed Precalculus twice must meet with the Basic Skills ad Precalculus advisor in LSH-B room 102A, LIV. Students who have failed Calculus I or Calculus II twice must meet with the advisor in HILL 308 BUSH. Afterwards, the students have to submit a request for a special permission number following the procedure for closed sections.

Students belonging to schools other than SAS, SEBS, and RBS should see their Dean

• Fall and Spring Terms

  • Matriculated undergraduates should request special permission for admission to closed sections using the automated special permission system described below. While the special permission process is ongoing students should attend a section that they are trying to enter via special permission, so that no class time will be missed.
  • Non-matriculated undergraduate students and graduate students should request special permission for admission to closed sections by completing the appropriate special permission form available online. Decisions on these requests will be made during the first week of classes.

If you receive an email informing you that your request has been
granted, you must login within 3 days of when the email is sent
in order to retrieve your special permission number.

Automated special permission system

For CLOSED SECTIONS – For matriculated undergraduates
Fall and Spring Semesters

Automated Web System
Enter Here

NOTE: When vieing the Special Permission login page for the first time, you may get a notice that the SSL certificate is invalid. You can disregard this and know that the site is still perfectly secure. In order to fix this, please add a permanent exception and reload the page. If you need help with this, please see our documentation regrading this issue: Certificate Errors

• Who Can Use the Online Special Permission System?
  Matriculated undergraduates who wish to get special permission to enter closed sections of mathematics courses should use the mathematics department's web-based system.
• How Do I Login?
  Students need to use their NetID and password to access the online special permission system. Students using this system DO NOT need to have their own computer accounts or e-mail addresses. They only need access to the web which is available on all campuses. Deans' Offices should be prepared to help disabled students with their special permission requests.

Front End Login

Graduate Courses Taken by Undergraduates

With the approval of the department, undergraduates may take graduate courses, under three conditions.

1. There are no undergraduate courses in mathematics which are more appropriate for the student's program.
2. Prior achievement in undergraduate or graduate mathematics courses provides a clear indication of the student's ability to do well in graduate level work.
3. Admission of the student to the graduate course is consistent with the needs and desires of the graduate program.

Application Procedure

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.

Who should take graduate courses?

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.

Homework - Fall 2018 - Draft

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.

Homework - Fall 2018 - Draft with correct frame

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.

Alumni and Alumnae Selected Profiles

Alumni and Alumnae of the Rutgers and Douglass Math Programs and Former Faculty

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.

Selected Profiles of Alumni and Alumnae of the Rutgers and Douglass Undergraduate Math Program

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.

Selected Alumni/Alumnae of the Graduate Program

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 2012­-15. 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.

Select Former Faculty of the Rutgers Mathematics Department

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.

01:640:152 - TEST PAGE FALL 2017

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.

• The first semester, Math 151 or 153, presents the differential calculus of the elementary functions of a single real variable: the rational, trigonometric and exponential functions and their inverses; various applications via the Mean Value Theorem; and an introduction to the integral calculus.
• The second semester, Math 152, continues the study of the integral calculus, with applications, and covers the theory of infinite series and power series, touching on differential equations and a few other topics as well.

Transitioning from Math 135 to Math 152:

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

Textbook:

Jon Rogawski & Colin Adams, Calculus, Early Transcendentals, 3rd edition, plus WebAssign

Purchase options:

• Hardcover custom 3rd edition and WebAssign premium access code (for the duration of the 3rd edition). 
  ISBN 978-1-319-04853-2 
  NJ Books: \(125.00.
• E-book custom 3rd edition and WebAssign premium access code (for the duration of the 3rd edition) 
  ISBN 978-1-319-04911-9 
  NJ Books: \)107.50

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.)

Course Materials

• 152: Syllabus and Homework
• 152: Announcements and Review Sheets
• General Course Information for Math 151-152 (Spring 2017)
• Going from math 135 to math 152

{rucourse course = "01:640:152" semester = "92017"}

01:640:152 - TEST PAGE FALL 2016

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.

• The first semester, Math 151 or 153, presents the differential calculus of the elementary functions of a single real variable: the rational, trigonometric and exponential functions and their inverses; various applications via the Mean Value Theorem; and an introduction to the integral calculus.
• The second semester, Math 152, continues the study of the integral calculus, with applications, and covers the theory of infinite series and power series, touching on differential equations and a few other topics as well.

Transitioning from Math 135 to Math 152:

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

Textbook:

Jon Rogawski & Colin Adams, Calculus, Early Transcendentals, 3rd edition, plus WebAssign

Purchase options:

• Hardcover custom 3rd edition and WebAssign premium access code (for the duration of the 3rd edition). 
  ISBN 978-1-319-04853-2 
  NJ Books: \(125.00.
• E-book custom 3rd edition and WebAssign premium access code (for the duration of the 3rd edition) 
  ISBN 978-1-319-04911-9 
  NJ Books: \)107.50

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.)

Course Materials

• 152: Syllabus and Homework
• 152: Announcements and Review Sheets
• General Course Information for Math 151-152 (Spring 2017)
• Going from math 135 to math 152

{rucourse course = "01:640:152" semester = "92016"}

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Advising

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.

Graduate Faculty research-by-area pages

Directions to the Department

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.

Our own travel directions are as follows:

BY CAR:

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.

BY BUS:

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.

BY TRAIN:

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

BY PLANE:

The nearest airport is Newark Liberty International Airport. If you fly there, you can either

1. Rent a car.
2. Take the
   1. Airporter (call 1-800-385-4000 for reservations) to the Hilton Hotel on Route 18, East Brunswick (cost is \)20.00 per person). Schedule of Departure and Arrival times to/from Newark Airport. Then you should take a taxi (about 15 minutes) to the Hill Center, Frelinghuysen Road, Busch Campus, Piscataway, N.J.
   2. State Shuttle to the Hyatt Hotel in New Brunswick. Call 1-800-427-3207 for reservations.
3. Take the Airtrain Newark directly from the arrivals terminal to the new Rail Link station and then connect with NJ Transit trains to New Brunswick. (cost is \(8.95 to \)10.80).
4. Take a bus to the Port Authority Bus Terminal in New York City (every 15 minutes).
5. Take a taxi (the cost is approximately \(45 plus tolls plus tip).

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.

How To Walk from The New Brunswick Train Station To The Hill Center in the Busch Campus of Rutgers University

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.

1. Go to the end of the platform (away from the station, in the direction of the train if you came from the West (Trenton) and in the opposite direction if you came from the East (NY) ), walk downstairs, make a left onto [ If you came from Trenton/Princeton: George and then immediately another left on] Somerset. Walk a block and make a right on College Ave. On the left-hand side, walk to the end of College Avenue and enter Buccleuch park (about 12 min. walks).
   
   
2. Walk another minute on a path parallel to George St., and a little before the Buccleuch Mansion, make a right that leads to stairs. Walk down the stairs, and carefully cross George St. to the bike path/pedestrian walk on the Lynch bridge.
   
   
3. After about two to three minutes you have a choice: turn left down to Johnson Drive and go the Old Way (see below, that takes 10 minutes longer) OR:
   
   

New Way (June 2005):

1. DONT's turn left (downhill), but go straight and continue on the bridge and follow the path all the way to the end [ 7 additional minutes]. This ends at Busch Campus Drive. Take a left and Walk a few steps to the corner of Busch Campus Drive and Sutphen Road. [the street sign just says "Campus Drive"].
2. Cross [Busch] Campus Drive at the crosswalk (carefully! the stupid cars go very fast and do not even slow down for you, even though they are supposed to give you the right of way) and make a left. Continte (after a few minutes past a traffic circle) onto Frelinghuysen Rd., and arive at Hill Center (6 minutes).

[OLD WAY: (be careful when you cross River Rd)

1. Follow that path. It ends at Johnson Drive. (about 5 minutes) Make a right on Johnson Drive.
2. Keep walking until you hit Landing Lane (3 minutes) after crossing Landing Lane (carefully!) make a right, staying on Landing Lane.
3. Walk on the shoulder until you hit the light at River Rd. (2 minutes). Push the button for crossing. When the light turns GREEN, Cross carefully (watching the cars that are turning left, it is your right of way, but you still have to be careful, the light is very short and the cars are impatient.)
4. Now you are at the beginning of a steep uphill path that leads to the Stadium. You hit the Stadium at the Hale Center. (3 minutes)
5. After you hit the stadium at Hale Center, walk on the sidewalk along the stadium. At the North Entrance, cross Sutphen Road on the crosswalk (carefully!), and make a left (1.5 minutes)
6. After less than a minute you hit FITCH Rd., make a right on Fitch. On your left you will have a Golf course, and on your right you have first D-field and behind it the Busch Bubble, and later Yurack Field. At Yurack Field, Fitch Rd. continues to the right. Instead of turning right, keep going straight, still with the Golf course to your left, and Yurack Field on the right. You can see Hill Center at the top of the Hill. Walk to the end of that path (it ends at Parking Lot 53A), until you hit Frelinghuysen. Turn left, and after a few seconds cross Frelinghuysen at the crosswalk. (8 minutes)]