Math 151 - Syllabus and General Information, Fall 2007

Lecturer : Dr. Vladimir Shtelen
Office & Office Hours: Hill Center 513, Mondays 10 - 11am
e-mail address: shtelen@math.rutgers.edu
web site: http://www.math.rutgers.edu/~shtelen
Departmental web page for M151
Textbook: Calculus, Early Transcendentals by Jon Rogawski, published by W. H. Freeman
Calculator: A graphing calculator is required for this course. We have traditionally used the TI-82 or 83 and recommend either of them, but any calculator with equivalent capacities can be used, such as the popular TI-85 or 86. Calculators will not be permitted on final exam
Grading: Final exam - 40%, Midterm exams - 40%, , Quizzes - 10%, Homework - 5%, Workshops - 5%

Lecture	Date	Reading	Topics
1		1.1, 1.2, 1.3	Inequalities, intervals, functions. Types of functions.
2		1.4, 1.5	Trigonometric functions. Inverse functions.
3		1.6, 1.7, 2.1	Exponentials and logarithms. Use of graphing calculators.
4		2.2, 2.3, 2.4	Tangents. Limits, numerically and graphically. Continuity. Laws of limits.
5		2.5, 2.6, 2.7	Evaluating limits. Trigonometric limits. The Intermediate Value Theorem.
6		2.8, 3.1, 3.2	Definition of limit and derivative. Power rule.
7		3.3, 3.4	Product and quotient rule. Rates of change.
8		3.5, 3.6	Higher derivatives. Differentiation of trigonometric functions.
9		3.7	Chain rule; Review for the exam
10		First Hour Exam	(In the usual class time and place.)
11		3.8	Review of the exam; Implicit differentiation.
12		3.9, 3.10	Differentiation of inverse functions, exponentials, logarithms. Note: Hyperbolic functions may be omitted.
13		3.11	Related Rates.
14		4.1, 4.8	Linear approximations. Newton's method.
15		4.2	Maxima and minima. Critical points.
16		4.3, 4.4	Shape of a graph. Mean Value Theorem. First derivative test. Concavity.
17	10/30	4.5	Curve sketching. Asymptotes.
18	11/01	4.6	Maxima and minima problems.
19	11/06	4.7	Indeterminate forms. L'Hpital's rule.
20	11/08	4.9	Antiderivatives.
21	11/13	5.1	Approximating and computing area; Review for the exam
22	11/15	Second Hour Exam	(In the usual class time and place.)
23	11/20	5.2	Review of the exam; Definite integrals.
24	11/27	5.3, 5.4	Fundamental Theorem of Calculus.
25	11/29	5.5, 5.6	Net change. Integration by substitution.
26	12/04	5.7, 5.8	Transcendental functions. Exponential growth.
27	12/06	6.1	Area between two curves.
28	12/11	Review

Suggested Homework Problems for Mathematics 151

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

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

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

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

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

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

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

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

Section 3.7: 2, 9, 11, 17, 21, 22, 25, 27, 37, 43, 44, 49, 57, 67, 70, 76, 85

Section 3.8: 3, 9, 11, 16, 23, 25, 29, 30, 36, 43

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

Section 3.11: 3, 5, 7, 9, 14, 15, 19, 26

Section 4.1: 3, 4, 9, 11, 17, 18, 33, 41, 44

Section 4.8: 3, 7, 9, 13, 20

Section 4.2: 1, 5, 7, 11, 12, 29, 31, 32, 33, 39, 48, 61

Section 4.3: 5, 12, 13, 17, 27, 28, 43, 45, 63, 64

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

Section 4.6: 2, 3, 9, 10, 13, 18, 28, 39

Section 4.7: 3, 5, 6, 9, 11, 12, 17, 19, 20, 27, 28, 32, 43, 48

Section 4.9: 3, 13, 18, 20, 25, 29, 33, 35, 39, 41, 47, 64

Section 5.1: 1, 7, 13, 15, 18, 20, 31(c), (d), 35, 37, 41, 60

Section 5.2: 1, 7, 8, 13, 14, 15, 17, 31, 37, 61, 74

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

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

Section 5.7: 7, 17, 22, 25, 27, 43, 50, 59, 61, 70

Section 5.8: 2, 5, 7, 8, 12, 24, 31

Section 6.1: 1, 5, 6, 8, 9, 11, 16, 30, 33, 36, 41

Suggested Homework Problems for Mathematics 151
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
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
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
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
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
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
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
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
Section 3.7:	2, 9, 11, 17, 21, 22, 25, 27, 37, 43, 44, 49, 57, 67, 70, 76, 85
Section 3.8:	3, 9, 11, 16, 23, 25, 29, 30, 36, 43
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
Section 3.11:	3, 5, 7, 9, 14, 15, 19, 26
Section 4.1:	3, 4, 9, 11, 17, 18, 33, 41, 44
Section 4.8:	3, 7, 9, 13, 20
Section 4.2:	1, 5, 7, 11, 12, 29, 31, 32, 33, 39, 48, 61
Section 4.3:	5, 12, 13, 17, 27, 28, 43, 45, 63, 64
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
Section 4.6:	2, 3, 9, 10, 13, 18, 28, 39
Section 4.7:	3, 5, 6, 9, 11, 12, 17, 19, 20, 27, 28, 32, 43, 48
Section 4.9:	3, 13, 18, 20, 25, 29, 33, 35, 39, 41, 47, 64
Section 5.1:	1, 7, 13, 15, 18, 20, 31(c), (d), 35, 37, 41, 60
Section 5.2:	1, 7, 8, 13, 14, 15, 17, 31, 37, 61, 74
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
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
Section 5.7:	7, 17, 22, 25, 27, 43, 50, 59, 61, 70
Section 5.8:	2, 5, 7, 8, 12, 24, 31
Section 6.1:	1, 5, 6, 8, 9, 11, 16, 30, 33, 36, 41