Math 151 syllabus and suggested textbook problems for Fall 2009, slightly modified for Math 153

The textbook is 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. Students should have a graphing calculator available in class and while doing homework. Calculators may not be used during examinations. The schedule listed below is approximate, especially when referring to dates of examinations which will be announced in class. The final exam for the course will be given on Wednesday, December 16 from 4 to 7 PM. This exam will be principally written by the Math 151 course coordinator.
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, 26, 34(a), 35, 41, 43, 46, 49, 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 1.4, 1.5 Trigonometric functions. Inverse functions. 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
3 1.6, 1.7, 2.1 Exponentials and logarithms. Use of graphing calculators. Section 1.6: 3, 4, 5, 6, 11, 12, 13, 24, 25, 29
Section 1.7: 1, 2, 3, 13, 16
Section 2.1: 5, 6, 7, 11, 22, 23, 33
4 2.2, 2.3, 2.4 Tangents. Limits, numerically and graphically. Continuity. Laws of limits. Section 2.2: 3, 5, 8, 14, 21, 23, 24, 38, 43, 53
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
5 2.5, 2.6, 2.7 Evaluating limits. Trigonometric limits. The Intermediate Value Theorem. Section 2.5: 1, 2, 5, 7, 11, 16, 18, 22, 29, 39, 48, 49
Section 2.6: 3, 4, 6, 9, 10, 20, 21, 22, 28, 38
Section 2.7: 2, 4, 7, 15, 19
6 2.8, 3.1, 3.2 Definition of limit and derivative. Power rule. Section 2.8: 1, 2, 4, 6
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
7 3.3, 3.4 Product and quotient rule. Rates of change. Section 3.3: 3, 7, 8, 21, 22, 23, 27, 34, 44, 50, 51, 52
Section 3.4: 3, 6, 9, 10, 13, 30, 31
8 3.5, 3.6 Higher derivatives. Differentiation of trigonometric functions. 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
9 3.7 Chain rule. Section 3.7: 2, 9, 11, 17, 21, 22, 25, 27, 37, 43, 44, 49, 57, 67, 70, 76, 85
10 First Hour Exam (in the usual class time and place.)
11 3.8 Implicit differentiation. Section 3.8: 3, 9, 11, 16, 23, 25, 29, 30, 36, 43
12 3.9, 3.10 Differentiation of inverse functions, exponentials, 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
13 3.11 Related Rates. Section 3.11: 3, 5, 7, 9, 14, 15, 19, 26
14 4.1, 4.8 Linear approximations. Newton's method. Section 4.1: 3, 4, 9, 11, 17, 18, 33, 41, 44
Section 4.8: 3, 7, 9, 13, 20
15 4.2 Maxima and minima. Critical points. Section 4.2: 1, 5, 7, 11, 12, 29, 31, 32, 33, 39, 48, 61
16 4.3, 4.4 Shape of a graph. Mean Value Theorem. First derivative test. Concavity. Section 4.3: 5, 12, 13, 17, 27, 28, 43, 45, 63, 64
Section 4.4: 7, 10, 17, 22, 25, 28, 37, 47
17 4.5 Curve sketching. Asymptotes. Section 4.5: 1, 3, 4, 13, 18, 27, 31, 39, 44, 51, 52, 57, 58, 61, 62, 66, 77, 81, 86
18 4.6 Maxima and minima problems. Section 4.6: 2, 3, 9, 10, 13, 18, 28, 39
19 4.7 Indeterminate forms. L'Hôpital's rule. Section 4.7: 3, 5, 6, 9, 11, 12, 17, 19, 20, 27, 28, 32, 43, 48
20 4.9 Antiderivatives. Section 4.9: 3, 13, 18, 20, 25, 29, 33, 35, 39, 41, 47, 64
21 5.1 Approximating and computing area. Section 5.1: 1, 7, 13, 15, 18, 20, 31(c), (d), 35, 37, 41, 60
22 Second Hour Exam (in the usual class time and place.)
23 5.2 Definite integrals. Section 5.2: 1, 7, 8, 13, 14, 15, 17, 31, 37, 61, 74
24 5.3, 5.4 Fundamental Theorem of Calculus. 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
25 5.5, 5.6 Net change. Integration by substitution. Section 5.5: 1, 4, 10, 13
Section 5.6: 9, 10, 11, 18, 20, 25, 38, 39, 45, 51, 53, 56, 58, 82, 89
26 5.7, 5.8 Transcendental functions. Exponential growth. Section 5.7: 7, 17, 22, 25, 27, 43, 50, 59, 61, 70
Section 5.8: 2, 5, 7, 8, 12, 24, 31
27 6.1 Area between two curves. Section 6.1: 1, 5, 6, 8, 9, 11, 16, 30, 33, 36, 41
28 Final Review