Math 151 syllabus and suggested textbook problems for Fall 2010




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



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