MATH 2402 – CALCULUS II

Textbook: Calculus (6^th edition) by James Stewart, Thomson Brooks/Cole, ISBN-10: 0495011606.

Catalog description: Topics include differentiation and integration of transcendental functions, techniques of integration, improper integrals and application of integrals, sequences and infinite series. At the completion of the course, the student should be able to differentiate and integrate transcendental functions, evaluate integrals using various techniques of integration, evaluate improper integrals, and determine convergence and divergence if sequences and series.

Prerequisite: A grade of C or higher in MATH 2401.

Grading policy:

HW 10% of the grade

HW is given after each class and will be due as announced – approximately every

other week. You are responsible to provide answers to each problem, however only several problems will be graded.

Three exams

There will be three in-class exams, each counts as 20% of the grade.

The exams will be announced at least one week in advance.

Final exam

The comprehensive final exam counts as 30% of the grade.

A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: 0-59

Office hours: Tuesdays 2-3pm

Help: There will be short reviews before each exam and the final exam. You are encouraged to ask questions in class and come to the office hours. Additional help is available at the Lab in 735S (9am - 7pm on Mondays through Thursdays, 9am - 3pm on Fridays).

Homework assignments: (late homework will not be accepted)

HW 1 due 9/28

Section 7.1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 17, 20, 23, 24, 25, 26, 27, 31, 32, 33, 35, 37, 38, 41

Section 7.2: 3, 4, 7, 8, 9, 13, 14, 15, 23, 24, 25, 27, 28, 29, 31, 32, 36, 38, 39, 41, 45, 47, 50, 51, 61, 62, 73, 74, 76, 78, 79, 80, 81, 83, 84

Section 7.3: 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 22, 25, 26, 27, 28, 30, 32, 33, 34, 37, 38, 48, 49, 50, 52, 53, 54, 55, 57, 59, 61, 62, 63

Section 7.4: 2, 3, 5, 7, 9, 11, 15, 23, 25, 27, 29, 31, 32, 33, 35, 38, 41, 43, 45, 57, 49, 53

Section 7.6: 1, 2, 3, 5, 12, 14, 24, 26, 30, 31, 37, 39, 44, 45, 60, 61, 62, 64, 67, 69

HW 2 due 10/21

Section 7.7: 1, 2, 3, 10, 32, 33, 35, 38, 42

Section 7.8: 6, 7, 10, 11, 15, 16, 17, 18, 21, 31, 33, 40, 42, 47, 49, 53, 54, 59, 61

Section 8.1: 3, 6, 7, 10, 15, 24, 25, 26, 33, 37, 38, 47, 49

Section 8.2: 1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 14, 18, 21, 44, 46, 47

Section 8.3: 1, 2, 3, 4, 6, 7, 9, 11, 17, 21, 23, 24

Section 8.4: 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 15, 16, 19, 20, 21, 23, 25, 27, 30, 31, 33, 39, 41, 42, 45

HW 3 due 11/2

Section 8.5: 1, 2, 3, 7, 10, 19, 20, 21, 24, 25, 26, 29, 31, 33, 36, 38, 44, 55, 59, 63

Section 8.7: 1, 7ab, 8ab, 17ab

Section 8.8: 1, 2, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 21, 25, 27, 29, 31, 39, 49, 50, 51, 54, 57, 58

Section 9.1: 3, 4, 5, 9, 10, 11, 15, 19, 33

Section 9.2: 1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 15

HW 4 due 11/23

Section 11.1: 1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 15

Section 11.2: 1, 2, 3, 4, 7, 11, 12, 15, 18, 29, 30, 31, 33, 41, 42, 45, 47, 60, 61, 65

Section 11.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 16, 17, 21, 22, 23, 29, 31, 37, 57, 58, 59, 60, 63, 64, 65, 66

Section 11.4: 1, 2, 4, 5, 6, 9, 13, 17, 23, 28, 30, 46, 47, 48

HW 5 due 12/2

Section 12.1: 1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 18, 19, 20, 21, 22, 24, 25, 27, 31, 32, 35, 43, 44, 60, 61, 62, 63, 64, 65, 66

Section 12.2: 3, 4, 7, 8, 11, 12, 13, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 39, 40, 41, 43, 44, 45, 47, 48, 49, 50

Section 12.3: 3, 4, 5, 6, 8, 15, 16, 21, 27

Section 12.4: 3, 4, 5, 6, 7, 10, 12, 15, 17, 21, 23, 25, 26

Section 12.5: 5, 6, 7, 8, 9, 10, 11, 13, 14

Section 12.6: 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 17

Section 12.7: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 19, 21, 25, 27

Exams:

Exam 1 on 9/28

- covers Chapter 7

Exam 2 on 11/2

- covers Chapters 8 and 9

Exam 3 on 12/2

- covers Chapters 11 and 12

Sections to be covered:

Chapter 7: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions (Sections 7.1-7.4, 7.6-7.8)

Chapter 8: Techniques of Integration (Sections 8.1-8.8)

Chapter 9: Further Applications of Integration (Sections 9.1-9.2)

Chapter 11: Parametric Equations and Polar Coordinates (Sections 11.1-11.4)

Chapter 12: Infinite Sequences and Series (Sections 12.1-12.11)

Final exam on 12/9 11:30am-2pm

- covers all material presented in class