SYLLABUS

Calculus II (Math 142, Sections 7 & 8)
Fall 2002, USC

Lecture Recitations
T TH 12:30-1:45 CLS 104 7: MW 10:10-11:00, LC 102;
8: MW 11:15-12:05, LC 102 .
Instructor
Professor Mohammad Ghomi

Teaching Assistant
Ronda Sanders

Course Description
This class is continuation of Calculus I. The main topics, in the order that they are covered are: The main goals of the class are: (i) building proficiency in working with elementary functions, including their derivatives and integrals, and (ii) developing a deeper appreciation for the concepts of limit and convergence.

Prerequisites
A grade of C or better in Math 141--familiarity with limits, derivatives, integrals, the fundamental theorem of calculus, and basic trigonometry.

Textbook
Calculus, by Varberg, Purcell, and Rigdon, eighth edition.

Homework and Quizzes
There will be homework assignments due every Wednesday. Late homeworks will not be accepted. Also there will be quizzes every Wednesday. No calculators, textbooks, or notes will be allowed.

Lecture and Reading Schedule
Dates Lectures
Aug 22 TH 7.1 Intro to natural log
27
29		 T
TH		 7.3
7.4		 The natural exponential function
General exponential functions
Sep 3
5		 T
TH		 7.5
7.7		 Exponential Growth and Decay
Inverse Trig functions, Review of Trig
10
12		 T
TH		 7.8
8.1		 Hyperbolic functions
Integration by substitution
17
19		 T
TH		 8.2
8.3		 Trig. Integrals
Rationalizing substitutions
24
26		 T
TH		 .
8.4		 Midterm 1
Integration by parts
Oct 1
3		 T
TH		 8.5
9.1		 Partial fractions
Indeterminate forms, review of limits
8
10		 T
TH		 9.2
9.3		 Other indeterminate forms
Improper integrals
15
17		 T
TH		 .
9.3,9.4		 Fall Break
More improper integrals
22
24		 T
TH		 10.1
10.2		 Infinite Series, Convergence
Infinite sequences, Divergence test
29
31		 T
TH		 10.3
10.4		 The integral test
Comparison and ratio tests
Nov 5
7		 T
TH		 .
10.5		 Election Day
Alternating series
12
14		 T
TH		 .
10.6, 10.7		 Midterm 2
Power series
19
21		 T
TH		 10.7
10.8, 11.1		 More power series
Taylor series
26
28		 T
TH		 11.1
.		 Taylor Series, Review
Thanksgiving
Dec 3
5		 T
TH		 .
.		 Review
Review
9 M . Final Exam

Assignments
# Due Date Problems
1 Aug 28 7.1) 4, 5, 6, 8, 9, 11, 12, 16, 17, 18, 19, 24, 25, 26, 28, 29, 30, 39, 40, 46a, 49.
2 Sep 4 7.3) 4, 5, 6, 7, 8, 12, 13, 14, 15, 16, 23, 24, 30, 31, 32, 42.
7.4) 3, 4, 5, 6, 18, 19, 20, 23, 24, 27, 28, 29, 30, 31, 32, 43;
3 Sep 11 7.5) 2, 3, 5, 6, 7, 8, 12, 14, 17, 18, 20, 21.
7.7) 19, 20, 22, 23, 29, 30, 36, 37, 40, 42, 50, 55, 58, 76, 77;
4 Sep 18 7.8) 2, 3, 4, 6, 13, 14, 15, 16, 37, 38, 39, 42, 43, 50, 53;
8.1) 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 15, 22, 24, 25, 40, 41, 47, 48.
5 Sep 25 8.2) 1, 2, 3, 4, 5.
8.3) 1, 2, 3, 9, 10, 11, 12, 17, 18, 19, 20, 21, 22, 29, 32, 33.
6 Oct 2 8.4) 1, 2, 5, 6, 11, 12, 13, 14, 15, 41, 47, 48;
7 Oct 9 8.5) 2, 3, 4, 5, 6, 10, 11, 13, 17, 18, 21, 42;
9.1) 1, 2, 3, 4, 6, 8, 20, 27.
8 Oct 16 9.2) 1, 2, 3, 4, 11, 14, 16, 21, 22, 23, 24, 30, 34.
9.3) 1, 2, 3, 4, 8, 13, 14, 19, 26, 27, 28, 36.
9 Oct 23 9.4) 3, 4, 7, 8, 16, 19;
9.5) 4, 5, 7, 9, 11, 39, 40.
10 Oct 30 10.1) 1, 2, 3, 4, 9, 16, 22, 23, 24, 31, 33, 34.
10.2) 1, 4, 5, 6, 8, 11;
11 Nov 6 10.2) 16, 17, 18, 25, 26, 33, 36;
10.3) 2, 3, 4, 8, 13, 14, 23, 24, 25.
12 Nov 13 10.4) 2, 3, 5, 6, 7, 11, 12, 13, 16, 20, 23, 28, 44.
13 Nov 20 10.5) 2, 3, 4, 7, 8, 9, 13, 14, 15, 16, 19, 35, 37.
14 Dec 4 10.6) 1, 2, 5, 6, 7, 8, 12, 21;
10.7) 1, 2, 10, 14, 25, 36;
10.8) 4, 7, 19, 20;
11.1) 2, 3, 4, 9, 10, 11, 16, 19, 39.

Tests and Exams
There will be 2 midterms on Tuesdays Sep 24 and Nov 12. The Final Exam is on Monday, Dec 9, 2-5 pm.

Grading
Your final grade is comprised of your scores on the homeworks (10%) the quizzes (10%), midterms (20% each) and the final exam (40%).

Attendance Policy
Consistent with the USC Undergraduate Bulletin, a grade penalty may be applied to any student missing more than three classes during the semester.

Study Hint
Work on your homework assignments everyday, and for a total of at least 9 hours each week.