Math311 - Spring 2006

VECTOR ANALYSIS - MATH311

Spring 2006

Instructor - Krzysztof Galicki

Time and Place: TR 9:30 -- 10:45, MSH 234
Office hours: TR 11:00 -- 12:30, or by appointment


CLASS ANNOUNCEMENTS



March 1, 2006: Below is a sample exam to help you practice for your March 7 test. Note that this is a double length exam. The actual exam will consist of 5 problems plus an optional bonus problem.

SE1.dvi SE1.ps SE1.pdf


March 6, 2006: Here are the solutions to the sample exam:

SE1s.dvi SE1s.ps SE1s.pdf


HOMEWORK SOLUTIONS


Solutions to Homeworks #1 and #2
Solutions to Homework #3
Solutions to Homework #4
Solutions to Homework #5
Solutions to Homework #6
Solutions to Homework #7
Solutions to Homework #8
Solutions to Homework #9
Solutions to Homework #10


April 25, 2006: Below are some sample exams to help you practice for the second exam. The actual exam will consist of the maximum of 4 problems. You should try to solve all practice problems first without any help. Only then you should check it with the solutions provided below.

SE2.dvi SE2.ps SE2.pdf

April 25, 2006: And here are the solutions. Good luck on your test.
SE2s.dvi SE2s.ps SE2s.pdf

COURSE DESCRIPTION


The textbook for this course is Introduction to Vector Analysis by H. Davis and A. Snider (7th Edition). Supplementary materials include div grad curl and all that by H. M. Schey (recommended). The lectures will cover the following material (please, see the table of contents below for a detailed description of all sections):


  • Week 1
    Tue. 01/17 - Chapter 1, Sections 1,2,3
    Thu. 01/19 - Chapter 1, Sections 4,5,6
  • Week 2
    Tue. 01/24 - Chapter 1, Sections 7,8,9,10
    Thu. 01/26 - Chapter 1, Sections 11,12,13,14
    Quiz #1; Hw #1
  • Week 3
    Tue. 01/31 - Chapter 2, Section 1
    Thu. 02/02 - Chapter 2, Section 2
    Quiz #2; Hw #2
  • Week 4
    Tue. 02/07 - Chapter 2, Section 3
    Thu. 02/09 - Chapter 2, Section 4
    Quiz #3; Hw #3
  • Week 5
    Tue. 02/14 - Chapter 3, Section 1
    Thu. 02/16 - Chapter 3, Section 2
    Quiz #4; Hw #4
  • Week 6
    Tue. 02/21 - Chapter 3, Section 3
    Thu. 02/23 - Chapter 3, Section 4,5
    Quiz #5; Hw #5
  • Week 7
    Tue. 02/28 - Chapter 3, Sections 6,8,10
    Thu. 03/02 - Review
    Quiz #6; Hw #6
  • Week 8
    Tue. 03/07 - Exam #1
    Thu. 03/09 - Chapter 4, Section 1,2
  • Week 9
    Tue. 03/14 - Spring Recess
    Thu. 03/16 - Spring Recess
  • Week 10
    Tue. 03/21 - Chapter 4, Sections 3
    Thu. 03/23 - Chapter 4, Section 3,4
    Quiz #7; Hw #7
  • Week 11
    Tue. 03/28 - Chapter 4, Section 4
    Thu. 03/30 - Chapter 4, Section 6
  • Week 12
    Tue. 04/04 - Chapter 4, Section 7
    Thu. 04/06 - Chapter 4, Section 8
  • Week 13
    Tue. 04/11 - Chapter 4, Section 9
    Thu. 04/13 - Chapter 5, Section 1
    Quiz #8; Hw #8
  • Week 14
    Tue. 04/18 - Chapter 5, Section 3
    Thu. 04/20 - Chapter 5, Section 4
  • Week 15
    Tue. 04/25 - Chapter 5, Section 5
    Thu. 04/27 - Review
    Quiz #9; Hw #9, 10
  • Week 16
    Tue. 05/01 - Exam #2
    Thu. 05/04 - Review


  • TABLE OF CONTENTS OF DAVIS AND SNIDER'S Introduction to Vector Analysis



    There will be 10 homework assignments during the semester. Your homework will not be collected or graded. Instead, there will be a short, 15 minute quiz every Thursday starting on January 26th. Each quiz will include 2 short problems chosen from your homework assignment. There will be 9 quizzes during the semester. I will count the best 7 of them towards your grade. Solutions to all homework problems assigned will be made available on my web page a few days before every quiz. There will also be two in-class exams. Your grade will be based on the quizzes and exams in the following way:

    Quizzes - 30% Exam #1 - 35% Exam #2 - 35%

    Note: Qualified students with disabilities needing appropriate academic adjustments should contact me as soon as possible to ensure your needs are met in a timely manner. Handouts are available in alternative accessible formats upon request.














    HOMEWORK ASSIGNMENTS


  • Homework #1
    Section 1.2: 1,2,3,4,8
    Section 1.3: 1,2,3,4,6,7,8,9,12,13
    Section 1.4: 1,2,3,4,6,9,10,13
    Section 1.5: 1,2,3,4,5,9,12,13
    Section 1.7: 1,2,3,4,5,9,13-24
    Section 1.8: 1,3,7,8,11,18
  • Homework #2
    Section 1.9: 1,2,3,4,7,11,12,13,21
    Section 1.10: 1,2,3,4,7,13,14,18,26
    Section 1.12: 1,2,3,4,5,8,12,17,20,21
    Section 1.13: 1,2,4,6,7,11,12
    Section 1.14: 1,2,3,6,7,8,9,11
  • Homework #3
    Section 2.1: 1,2,3,4,5
    Section 2.2: 1,2,3,4,7,8
  • Homework #4
    Section 2.3: 1,3,4,5,6,7,9,10,15,17,21
    Section 2.4: 1,2,3,4,7,13,14
    Section 3.1: 1,2,3,4,6,9,10,12,20,22
    Section 3.2: 1,2,3
  • Homework #5
    Section 3.3: 1,2,3,4,5,6,8,9
    Section 3.4: 1,2,3,4,7,10,11
    Section 3.5: 1,2,3,4,7,8
    Section 3.6: 1,2,3,4,5,7,8
  • Homework #6
    Section 3.8: 1,3,4,5,6,7
    Section 4.1: 3,4,5,6,7,8,9,13,18
    Section 4.2: 2,3,4,5,6,8,10
    Section 4.3: 1,2,3,4,5,6,7
  • Homework #7
    Section 4.4: 1,2,3,4,5,6,7,8,9,10,11
    Section 4.5: 2,3,4,7
    Section 4.6: 2,3,4,5,9,10
  • Homework #8
    Section 4.7: 1,2,3,4,5,8,14,16,19
    Section 4.8: 1,2,3,5,6
  • Homework #9
    Section 4.9: 1,2,3,4,5,9,11,12,13,14,16,22,26
    Section 5.1: 6,7,8,9
  • Homework #10
    Section 5.4: 5,6,7,10
    Section 5.5: 1,2,3,4