Math 151 - Syllabus and General Information, Fall 2009

Lecturer : Dr. Vladimir Shtelen
Office & Office Hours: Hill Center 203, Mondays 12 - 1pm, Thursdays 12 -1 pm
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 exams.
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	Oct 6	First 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		4.5	Curve sketching. Asymptotes.
18		4.6	Maxima and minima problems.
19		4.7	Indeterminate forms. L'Hôpital's rule.
20		4.9	Antiderivatives.
21		5.1	Approximating and computing area; Review for the exam
22	11/17	Second Exam	(In the usual class time and place.)
23		5.2	Review of the exam; Definite integrals.
24		5.3, 5.4	Fundamental Theorem of Calculus.
25		5.5, 5.6	Net change. Integration by substitution.
26		5.7, 5.8	Transcendental functions. Exponential growth.
27		6.1	Area between two curves.
28		Review
	12/16	Final Exam

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