Math 151 syllabus

Math 151 Syllabus for Spring 2011

Textbook : Calculus, Early Transcendentals by Jon Rogawski, published by W. H. Freeman. Some background material, linked here, is included in the "Rutgers edition" of the book. This material should be the only difference between the generally available book and the Rutgers version.
Calculator : Students should have a graphing calculator available in class and while doing homework. Any electronic devices including Calculators and cell phones may not be used during examinations.
Topics : The order in which topics are covered and the rate at which they are covered, and the assigned homework exercises will be updated below everyweek (Monday morning) (Please visit this site as often as possible !).
Midterm Exams : There will be two midterm exams (Feb 17, 2011 for Midterm I and Mar 24, 2011 for Midterm II). No make-up exams will be allowed unless an exceptional case occurs.
Final Exam : There will be a final exam (May 05, 2011 in Hill-116). No make-up exam will be allowed unless an exceptional case occurs.
Homeworks : There will be homeworks every week, which will be announced every thursday. Students will have a chance to discuss the problems with TA session the following tuesday and will be collected the next following TA session. Note that no late homeworks will be collected.
Workshops : There will be workshop problems in each week on tuesday at TA session. At the end of the day, a specific problem will be assigned to be collected in the following tuesday at TA session. Note that no late workshops will be collected.
Quizzes : There will be 15 minutes quiz in some of TA sessions once in a while.
Grading Policy : The standard grading scheme for Math 151 is as follows: The final exam is worth 200 points. Each hour exam is worth 100 points. The workshop writeups count for 65 points. A combination of quizzes (20) and textbook homework (40) gives 60 points. Adding this up, we get a maximum of 525 points that a student can get in the course. The course grade is determined by the number of points the student get out of 525.
Homework and Workshop Format : (link to webpage maintained by Professor Richter) Please complete the solution of your homework according to the following web guideline : Homework Writing Tips.
Class Etiquette (taken from the webpage maintained by Professor Mary B. Rosson in here):
(01) No Talking to classmates during a presentation. If you desire to engage in such behavior, the instructor can and may ask you leave the room.
(02) Be patient and courteous to other students when they ask a question or make a statement, even when the subject may be obvious to you.
(03) Do not start packing up your notes or other materials until class is completely over.
(04) If you have to leave early, please sit near the exit so that your departure does not disturb the class.
(05) If you arrive late to class, please sit down quietly near the entrance where you entered the room.
(06) During the presentations, reading of materials, e.g. The Collegiate Times, Roanoke Times, Sports Illustrated, textbooks from other courses, etc., other than those appropriate for this course should not occur.
(07) Hats and sunglasses should not be worn in the classroom, particularly during examinations.
(08) Inform the instructor when you may have to arrive late or leave early, preferably in advance.
(09) Do not consume food in the classroom.
(10) Do not use a laptop during class.
(11) Turn off your cellular or digital phone.

Lecture	Reading	Topics	Workshops	Homeworks	Due Date
Jan 24	1.1, 1.2, 1.3	Inequalities, intervals, functions. Types of functions.	Workshop 1 Prob. 2 due 1/25	Section 1.1: 2, 7, 12, 15, 19, 26, 34(a), 35, 41, 43, 46, 53, 61,62, 70 Section 1.2: 7, 9, 13, 14, 23, 29, 37, 38, 45 Section 1.3: 1, 5, 9, 13, 14, 16, 17, 18, 27, 30	2/1/2011 in rec.
Jan 31	1.4, 1.5	Trigonometric functions. Inverse functions.	Workshop 2 Prob. 2 due 2/1	Section 1.4: 1, 3(a), (b), 4(a), (b), 5, 8, 9, 10, 15, 20, 31, 38 Section 1.5: 1, 2, 4, 9, 11, 16(a), (e), 23, 24, 27, 29, 30, 31, 40	Due Feb. 15
Feb 03	1.6, 2.2	Exponentials and logarithms. Tangents. Limits, numerically and graphically.	Workshop 3 Prob. 1 due 2/8	Section 1.6: 3, 4, 5, 6, 11, 12, 13, 24, 25, 29 Section 2.2: 3, 5, 8, 14, 21, 23, 24, 38, 43, 53	Due Feb. 15
Feb 07	2.3, 2.4, 2.5	Continuity. Laws of limits. Evaluating limits	Workshop 4 Prob. 3 due 2/15	Section 2.3: 7, 11, 15, 16, 24, 25, 26 Section 2.4: 1, 2, 3, 4, 7, 17, 27, 39, 40, 59, 61, 62, 65, 69, 70, 80 Section 2.5: 1, 2, 5, 7, 11, 16, 18, 22, 29, 39, 48, 49	Due 2/22 in rec.
Feb 10	2.6, 2.7	Trigonometric limits. The Intermediate Value Theorem.	Workshop 5 Prob. 3 due 3/1	Section 2.6: 3, 4, 6, 9, 10, 20, 21, 22, 28, 38 Section 2.7: 2, 4, 7, 15, 19	Due 3/1 in rec.
Feb 14		Catch Up and Review for Midterm I.
Feb 17	Midterm I	(In the usual class time and place. Sections 1.1 - 1.6 and Sections 2.2 - 2.7)		Review Problems: (PDF)
Feb 21	3.1 3.2, 3.3	Definition and Properties of Derivatives.	Workshop 4 "v. 2" (not collected)	Section 3.1: 3, 7, 8, 10, 21, 23, 26, 27, 34, 44, 53, 54 Section 3.2: 2, 7, 10, 21, 22, 23, 27, 34, 36, 47, 50, 77 Section 3.3: 3, 7, 8, 21, 22, 23, 27, 34, 44, 50, 51, 52	Due 3/1 in rec.
Feb 24	2.1, 3.5, 3.6	Higher Order Derivative and Derivative of Trigonometric Functions	Workshop 6 Prob. 1 due 3/8	Section 2.1: 5, 6, 7, 11, 22, 23, 33 Section 3.5: 1, 2, 7, 8, 20, 24, 25, 30, 34, 39, 44 Section 3.6: 3, 5, 6, 7, 18, 20, 23, 29, 36, 39, 44	Due 3/8 in rec.
Feb 28	3.4, 3.7	Rate of Change and Chain rule	Workshop 7 Prob. 1 due 3/22	Section 3.4: 3, 6, 13, 30, 31 Section 3.7: 2, 9, 11, 17, 21, 22, 25, 27, 37, 43, 44, 49, 57, 67, 70, 76, 85	Due 03/22 in rec.
Mar 03	3.8, 3.9	Implicit Differentiation and Differentiation of inverse functions		Section 3.8: 3, 9, 11, 16, 23, 25, 29, 30, 36, 43
Mar 07	3.9, 3.10	Derivative of inverse trigonometrics, exponentials and logarithms. Note: Hyperbolic functions may be omitted.		Section 3.9: 3, 7, 11, 15, 18, 19, 23, 27, 28, 31 Section 3.10: 1, 3, 7, 10, 12, 20, 23, 30, 35, 36, 45
Mar 10	3.11, 4.1	Related Rates and Linear approximations.		Section 3.11: 3, 5, 7, 9, 14, 15, 19, 26 Section 4.1: 3, 4, 9, 11, 17, 18, 33, 41, 44
Mar 21	4.1 and Review	Linear Approximation, Catch Up and Review for Midterm II.		No homework is assigned !
Mar 24	Midterm II	(In the usual class time and place. Sections 3.1 - 3.11 and 4.1)
Mar 28	4.7	L'hospital's theorem		Section 4.7: 3, 5, 6, 9, 11, 12, 17, 19, 20, 27, 28, 32, 43, 48	Due 04/05 in rec.
Mar 31	4.2, 4.3	Maxima and minima. Critical points. Rolle's and Mean Value Theorem		Section 4.2: 1, 5, 7, 11, 12, 29, 31, 32, 33, 39, 48, 61	Due 04/05 in rec.
April 4	4.6	Applied Optimization problems.		Section 4.3: 5, 12, 13, 17, 27, 28, 43, 45, 63, 64 Section 4.6: 2, 3, 9, 10, 13, 18, 28, 39	Due 04/12 in rec.
April 7 and April 11	4.4, 4.5	Shape of a graph. First derivative test. Concavity. Curve Sketching and Asymptotes.		Section 4.4: 7, 10, 17, 22, 25, 28, 37, 47 Section 4.5: 1, 3, 4, 13, 18, 27, 31, 39, 44, 51, 52, 57, 58, 61, 62, 66, 77, 81, 86	Due 04/12 in rec.
April 14 and April 18	5.1, 5.2	Approximating and computing area, Definite Integrals		Section 5.1: 15, 20, 31(c), (f), 35, 37, 41, 60 Section 5.2: 7, 8, 14, 15, 17, 31, 37, 61, 74	Due 04/19 in rec
April 21	5.3, 4.9, 5.4	Fundamental Theorem of Calculus and Indefinite Integrals		Section 4.9: 3, 18, 20, 25, 29, 33, 35, 47, 64 Section 5.3: 7, 10, 11, 23, 31, 33, 36, 37, 44, 49 Section 5.4: 7, 9, 11, 15, 21, 24, 29, 31, 32	Due 04/26 in rec
April 25	5.6, 5.7	Integration by substitution and others		Section 5.6: 9, 10, 11, 18, 20, 25, 38, 39, 45, 51, 53, 56, 58, 82, 89 Section 5.7: 7, 17, 22, 25, 27, 43, 50, 59, 61, 70	Due 04/26 in rec
April 28	5.5, 5.8	Applications of Integration.		Section 5.5: 1, 4, 10, 13 Section 5.8: 2 (a,b), 7, 8, 9
May 2	6.1	Area between two curves.		Section 6.1: 1, 5, 6, 8, 9, 11, 16, 30, 33, 36, 41
	Final Review

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Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters.