Math 105 – Vector Calculus, Section 01

Spring 2011

Instructor:
Mark Iwen
Time and Place:
MWF 11:55 AM - 12:45 PM in Physics 235
E-mail:
markiwen@math.duke.edu
Office:
Physics 015
Office Phone:
(919) 660-2871
Office Hours:
After every class from 12:50 pm until 1:50 pm, Thursdays from 12:00 pm until 1:00 pm, and by appointment.

Resources

Course Information:
Syllabus
The Book:
Vector Calculus by Jerrold E. Marsden and Anthony J. Tromba, Fifth Edition, W.H. Freeman and Company, New York, 2003.
ISBN: 0-7167-4992-0
Homework Help:
A Math 103 lab assistant in the Help Room should be able to answer most questions you might have about any homework problems.

Homework Assignments and Material Covered

The assignment for each covered section will be listed in the table below as they are assigned. I recommend that you do the homework shortly after the section
is completed in class. Homeworks are due at the beginning of class on most Mondays. Late Homework will never be accepted.

Class Date
Sections Covered
Homework Assigned
Homework Due
Wed, Jan 12 1.1 Page 22: 15, 22, 31
Read Syllabus
Wed, Jan 19
Fri, Jan 14 1.2, 2.1 Page 36: 7, 8, 20, 26
Study figures in Sec. 2.1
Page 105: 1, 7, 10
Wed, Jan 19
Wed, Jan 19 2.2 Page 125: 12, 16, 19 Mon, Jan 24
Fri, Jan 21 2.3 Page 139: 1, 2, 4, 5, 12 Mon, Jan 24
Mon, Jan 24 2.4 Page 149: 5, 6, 13, 17, 18 Mon, Jan 31
Wed, Jan 26 4.1 Page 273: 1, 4, 12, 18 Mon, Jan 31
Fri, Jan 28 4.2 Page 281: 1, 2, 3, 8, 12 Mon, Jan 31
Mon, Jan 31 2.5 Page 159: 3, 4, 13, 20 Mon, Feb 7
Wed, Feb 2 2.6 Page 171: 2, 13, 20
Page 173: 8, 17, 35
Mon, Feb 7
Fri, Feb 4 3.1 Page 191: 1, 6, 15, 19 Mon, Feb 7
Mon, Feb 7 3.2 Page 202: 1, 4, 6, and Approximate
f(x,y) = exp(x)*cos(y) at (1.01, -.02)
using the 2nd order Taylor Approx.
Mon, Feb 14
Wed, Feb 9 3.3 Page 222: 1, 5, 12, 17, 36 Mon, Feb 14
Fri, Feb 11 3.4 Page 243: 2, 5, 11, 17 Mon, Feb 14
Mon, Feb 14 3.5 Page 253: 2, 7, 8, 11 Mon, Feb 21
Wed, Feb 16 Chapters 2 and 3,
Sections 4.1 and 4.2
TEST 1 TEST 1 In Class
Fri, Feb 18 5.1 Page 325: 1, 4, 8 Mon, Feb 21
Mon, Feb 21 5.2 Page 339: 1, 3, 12 Mon, Feb 28
Wed, Feb 23 5.3, 5.4 Page 353: 1, 3, 10 Mon, Feb 28
Fri, Feb 25 5.5, 6.1 Page 375: 1, 3, 4 Mon, Feb 28
Mon, Feb 28 1.4, 6.2 Page 390: 1, 2, 3, 8 Mon, March 14
Wed, March 2 6.3 Page 404: 2, 4, 5, 12 Mon, March 14
Fri, March 4 6.4 Page 415: 2, 5, 11, 17 Mon, March 14
Mon, March 14 Chapter 5 and 6
Examples
Chap. 6 Review
Page 417: 3, 5, 6, 13, 16
Mon, March 21
Wed, March 16 4.3, 4.4 Page 293: 2, 5, 14, 20 Mon, March 21
Fri, March 18 1.3, 1.5, 4.4 Page 310: 1, 2, 13, 15, 29 Mon, March 21
Mon, March 21 7.1 Page 427: 2, 9, 13 Mon, March 28
Wed, March 23 Chapters 5 and 6,
Sections 4.3 and 4.4
TEST 2 TEST 2 In Class
Fri, March 25 7.2 Page 447: 1, 3, 4 Mon, March 28
Mon, March 28 7.2 Page 447: 2, 14, 15 Mon, April 4
Wed, March 30 7.3 Page 459: 7, 10, 15 Mon, April 4
Fri, April 1 7.4 Page 471: 3, 8, 21 Mon, April 4
Mon, April 4 7.5, 7.6 Page 497: 1, 4, 9 Mon, April 11
Wed, April 6 7.6, 8.1 Page 528: 1, 3, 15 Mon, April 11
Fri, April 8 8.1 Page 528: 2, 10, 11(a), 13
Pages 520 -- 522: Read formal
proof of Green's Theorem
Mon, April 11
Mon, April 11 8.2 Page 547: 5, 6, 7 Mon, April 25
Wed, April 13 8.2, 8.3 Page 558: 4, 9, 12 Mon, April 25
Fri, April 15 8.3, 8.4 Page 573: 4, 5, 8 Mon, April 25
Mon, April 18 8.4 None -- TAKE HOME TEST DUE N/A
Wed, April 20 8.2, 8.4 Page 547: 9, 23
Page 576: 23
Mon, April 25
Fri, April 22 Not in Book:
Integration over
embedded sub-
manifolds
None N/A
Mon, April 25 Integration over
embedded sub-
manifolds, Cont'd
None N/A
Wed, April 27 Review Study "Questions of the Day'',
and review quizzes. Try these
103 practice problems.
FINAL EXAM
Tuesday, May 3
7:00 -- 10:00 PM