Math 151 syllabus

Math 151 syllabus and suggested textbook problems for Spring 2012

Textbook A special package with ISBN 1-4641-0376-3 based on Jon Rogawski; Calculus: Early Transcendentals (second edition); W.H. Freeman Company, 2012 (1050 pp.) is available in local bookstores or directly from the publisher W.H. Freeman Company with free shipping. 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.
Students should have a graphing calculator available in class and while doing homework. Calculators may not be used during examinations.
There are many sections of Math 151. The order in which topics are covered, the rate at which they are covered, the precise times of examinations, and the assigned homework exercises may vary from section to section. The exact timing and coverage of exams during the semester will be announced by each lecturer, as will the homework assignments. The problems listed below are suggestions. There will also be workshop writeups.
The final exam for the course will be given on Thursday, May 3, 2012 from 4:00 PM to 7:00 PM. The Math 151 midterm exams are given in the classroom where you have your Math 151 lectures. However, the final exam may be given at a different location, which will be announced in late April. All sections of Math 151 have the same final exam questions. However, there are several versions of each final exam question, to discourage cheating during the final exam. Each midterm exam is written by the lecturer who gives the midterm exam. Therefore, students with different lecturers will almost certainly take midterm exams that do not resemble each other.
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 75 points. A combination of quizzes and textbook homework gives 50 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 got out of 525. Individual lecturers may have slightly different numbers of points for workshops, quizzes and textbook homework. Check with your instructor.

Lecture	Reading	Topics	Recommended HW
1	1.1, 1.2, 1.3	Inequalities, intervals, functions. Types of functions.	Section 1.1:2, 7, 12, 15, 19, 28, 36(a), 37(a), 42, 44, 47, 49, 53, 65, 66, 74 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	1.4, 1.5	Trigonometric functions. Inverse functions.	Section 1.4: 1, 3(a),(b), 4(a),(b), 5, 8, 9, 10, 15, 20, 35, 42 Section 1.5: 1, 2, 4, 9, 11, 16(a), (e), 23, 24, 27, 29, 30, 31, 40
3	1.6, 1.7, 2.1	Exponentials and logarithms. Use of graphing calculators.	Section 1.6: 3, 4, 5, 6, 11, 12, 15, 28, 29, 33 Section 1.7: 1, 2, 3, 13, 16 Section 2.1: 5, 6, 7, 13, 22, 25, 34
4	2.2, 2.3, 2.4	Tangents. Limits, numerically and graphically. Continuity. Laws of limits.	Section 2.2: 3, 4, 11, 17, 19, 20, 38, 41, 54, 57 Section 2.3: 7, 12, 13, 14, 26, 27, 28 Section 2.4: 1, 2, 3, 4, 7, 17, 24, 37, 38, 52, 67, 68, 70, 73, 74
5	2.5, 2.6, 2.7	Evaluating limits. Trigonometric limits. Limits at Infinity	Section 2.5: 1, 3, 5, 7, 10, 17, 20, 26, 31, 39, 50, 51 Section 2.6: 3, 5, 7, 18, 19, 29, 30, 31, 37, 47 Section 2.7: 2, 6, 15, 16, 19, 21, 22, 30, 40
6	2.8, 2.9, 3.1	The Intermediate Value Theorem. Definition of limit and derivative. Power rule.	Section 2.8: 2, 4, 7, 15, 19 Section 2.9: 3, 4, 6, 9 Section 3.1: 3, 7, 8, 9, 22, 25, 27, 30, 31, 34, 51, 52
7	3.2, 3.3, 3.4	Derivative as a function. Product and quotient rule. Rates of change.	Section 3.2: 2, 5, 8, 19, 20, 21, 25, 30, 34, 36, 43, 47, 71 Section 3.3: 4, 7, 8, 21, 22, 23, 27, 34, 40, 41, 42, 49 Section 3.4: 4, 7, 9, 10, 11, 25, 26
8	3.5, 3.6	Higher derivatives. Differentiation of trigonometric functions.	Section 3.5: 1, 2, 7, 8, 21, 24, 25, 28, 31, 39, 43 Section 3.6: 3, 5, 6, 7, 17, 18, 19, 28, 35, 39
9	3.7	Chain rule.	Section 3.7: 2, 11, 13, 25, 29, 30, 32, 35, 44, 45, 51, 53, 61, 67, 70, 76, 84
10	First Hour Exam	(In the usual class time and place.)
11	3.8	Derivatives of inverse functions.	Section 3.8: 3, 7, 11, 15, 19, 20, 24, 29, 32, 34
12	3.9, 3.10	Differentiation of exponentials, logarithms. Implicit Differentiation Note: Hyperbolic functions may be omitted.	Section 3.9: 1, 3, 7, 10, 13, 24, 25, 32, 42, 45, 46 Section 3.10: 3, 9, 11, 15, 21, 23, 31, 32, 41, 61(b)
13	3.11	Related Rates.	Section 3.11: 3, 5, 7, 9, 16, 17, 19, 30
14	4.1, 4.8	Linear approximations. Newton's method.	Section 4.1: 3, 4, 9, 12, 18, 19, 37, 49, 51 Section 4.8: 3, 9, 11, 15, 23
15	4.2	Maxima and minima. Critical points.	Section 4.2: 1, 5, 9, 17, 18, 31, 32, 33, 41, 50, 63
16	4.3, 4.4	Shape of a graph. Mean Value Theorem. First derivative test. Concavity.	Section 4.3: 4, 11, 12, 17, 25, 26, 43, 45, 53, 64 Section 4.4: 3, 6, 16, 23, 28, 33, 39
17	4.5,4.6	L'Hopital's rule. Curve sketching. Asymptotes.	Section 4.5: 3, 6, 8, 10, 11, 13, 17, 18, 22, 25, 27, 39, 46, 50 Section 4.6: 1, 3, 4, 13, 18, 27, 31, 39, 44, 51, 52, 57, 58, 61, 62, 66, 77
18	4.7	Maxima and minima problems.	Section 4.7: 2, 3, 9, 10, 13, 18, 27, 37
19	4.9	Antiderivatives.	Section 4.9: 3, 10, 17, 20, 22, 24, 26, 30, 36, 37, 57, 65
20	5.1	Approximating and computing area.	Section 5.1: 2, 7, 13, 15, 17, 20, 22, 24, 27(c), 28(a), 34, 53
21	Second Hour Exam	(In the usual class time and place.)
22	5.2	Definite integrals.	Section 5.2: 1, 7, 8, 13, 14, 15, 16, 23, 35, 41, 61, 74
23	5.3, 5.4	Fundamental Theorem of Calculus.	Section 5.3: 8, 14, 23, 25, 26, 30, 41, 42, 46, 51 Section 5.4: 7, 9, 11, 17, 23, 26, 30, 31, 32
24	5.5, 5.6	Net change. Integration by substitution.	Section 5.5: 1, 3, 10, 18 Section 5.6: 8, 10, 13, 16, 21, 27, 28, 35, 51, 52, 59, 83, 88
25	5.7, 5.8	Transcendental functions. Exponential growth.	Section 5.7: 9, 17, 21, 25, 28, 37, 46, 53, 62, 63 Section 5.8: 2, 7, 8, 11, 13, 28, 33
26	6.1	Area between two curves.	Section 6.1: 1, 5, 6, 7, 8, 9, 16, 28, 31, 34, 37
27	Catch-up
28	Review For The Final Exam

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