MATH 263
Honors Calculus III, Spring 2009
Lectures:
MTWF 2-2:50, 303 Deady
Office hours:
Thursday 12:00-1:15, or by appointment
My office:
207 Deady, phone 3465635
Textbook:
Calculus by M. Spivak, 4th edition
Prerequisites/Course content:
The prerequisite for this course is Math 262.
The course content corresponds to chapters 20-27 of the Spivak's book.
Homework:
Assignments will be posted on this web page.
Homework will be collected every Wednesday at the beginning of the class.
Late homework will not be accepted. We will often use the Tuesday class period to
discuss the previous and the current homework. The lowest homework score will be dropped.
Midterm: Friday, May 1
Final exam: Take home. Will be handed out by the end of the last week.
Grading:
- homework 35%
- midterm 20%
- final 45%
Schedule:
week 1 (March 30-April 3) ch. 20: Approximation by Polynomial Functions
Assignment #1 (due April 8)
- Ch. 19 (review) # 1(vii),(viii),(ix), 2(vii),(viii),(ix), 3(viii), 4(viii).
- Ch. 20, #1(i),(ii),(iv),(v),(viii),(x), 2(i),(ii), 3(i),(ii),(iv), 7, 8.
week 2 (April 6-10) ch. 20 (cont.), 21: Transcendency of e
Assignment #2 (due April 15)
- Ch. 20, #5a, 6, 9, 10bc, 11ad, 15, 16, 23bcd, 24.
- Ch. 21 #1, 2.
week 3 (April 13-17) ch. 22: Infinite Sequences
Assignment #3 (due April 22)
- Ch. 22 #1(i),(ii),(iv),(v), 2(iii),(iv),(v),(vi),(vii), 5, 6, 9(i),(ii),(iii), 11, 13.
week 4 (April 20-24) ch. 22 (cont.), 23: Infinite Series
Assignment #4 (due April 29)
- Ch. 22 #1(iii), (vi), 3, 4, 7.
- Ch. 23 #1(i),(ii),(iii),(iv),(vi),(viii),(x),(xiv),(xvii),(xviii), (xix).
Review problems for the exam (some of them were in your homework):
Ch. 20, #1(iii),(vi),(vii), 3(iii), 11bc, 14;
Ch. 22, #1, 2, 8, 10;
Ch. 23, #1, 8.
week 5 (April 27- May 1) ch. 23 (cont.), midterm
Assignment #5 (due May 6)
- Ch. 23 #2, 4, 5a, 6, 7, 10.
week 6 (May 4-8) ch. 23 (cont.)
Assignment #6 (due May 13)
- Ch. 22 #14, 15
- Ch. 23 #9a, 11a, 15, 16, 20, 27
week 7 (May 11-15) ch. 24: Uniform Convergence
Assignment #7 (due May 20)
- Ch. 24 #1, 2(i),(iii),(iv),(v),(vi), 3, 4, 6, 9.
week 8 (May 18-22) ch. 24 (cont.), ch.26: Complex Functions
Assignment #8 (due May 27)
- Ch. 24 #8, 10, 13, 14
- Ch. 25 #9, 10
- Ch. 26 #1, 2
weeks 9 and 9: ch.26 (cont.) and ch.27: Complex Power Series
Review problems:
Ch. 24 #5, 7, 11(a)(b);
Ch. 25 #5, 11;
Ch. 26 #4, 7;
Ch. 27 #1, 2, 3, 5, 8, 9(i),(ii),(iii), 11(a)(b).
Solutions to previous homeworks will be posted periodically on
Blackboard
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