Math 370: Advanced Math for Engineers

General Information

• Spring 2006 Meets MWF 3:10-4:00 in MDH 1003.
• Dr. Bryan Clair
• Course syllabus

News

MathCad worksheets for:

• fourier.mcd: Fourier series
• halfrange2.mcd: Half-range Fourier series (2)
• heat_fixed_ends.mcd, heat_insulated_ends.mcd: Heat equation solutions.

The Wolfram Integrator (powered by Mathematica).

Sample Fourier series questions: sample_fs_questions.pdf

Learn something about the right hand rule: xkcd

Take Home Quizzes

Homework Assignments

1. Due 1/25:
   Ch 5.1# 3,7,31
   Ch 5.2# 1,3,17,20
   Ch 5.4# 1,3,19
2. Due 2/1:
   Ch 5.4 # 7, 9, 11, 15, 26
   Ch 5.5 # 1, 3, 5, 7, 17, 19, 21
   Ch 6.1 # 1, 3, 9, 13, 17, 21, 23, 25, 27, 29
   Plus four problems on a handout.
3. Due 2/8:
   Ch 6.2 #1,3
   Ch 6.3 #1-11odd (find RREF only!)
   Ch 6.4 #1,3,5,9,13
   Ch 6.5 #1,3,9,15
   Ch 6.6 #1,3,9,15
   Problem A: Let P and R(a) be as in Homework 2. Let A = PR(a). Find ker A. Sketch ker A for a = 30, 45, 60 degrees.
4. Due 2/15:
   Ch 6.7 # 1, 7, 15
   Ch 6.8 # 1, 3
   Ch 6.9 # 1, 3, 9, 15, 21, 23, 24
   Ch 7.1 # 1
   Ch 7.2 # 1, 3
   Problem A: Let A = R(a) be the rotation matrix from Homework 2. Find the inverse matrix to A, and explain what it means geometrically.
5. Due Monday 2/20:
   Ch 7.3 # 1, 3
   Ch 7.4 # 1, 7, 9
   Ch 7.5 # 19ab, 20, 21, 22
   Ch 7.6 # 1
   Problem A: Let A = R(a) be the rotation matrix from Homework 2. Find det(A) and explain what this means geometrically.
6. Due 3/1:
   Ch 8.1 #1-11odd (parts a & b only), 21, 23
7. Due 3/8:
   Ch 5.3 # 1, 21, 31, 36, 39
   Ch 11.1 # 1, 3, 9, 13, 15
   Ch 11.2 # 1, 6, 9
   Problem A: Let F(t) = (t, r*cos(t), r*sin(t)). Find the value of r which maximizes the curvature of F.
8. Due 3/22:
   Ch 11.3 # 1, 3, 5 (only the sketches), 11, 15, 17, 21, 22
   Ch 11.4 # 1, 5, 7, 11, 13, 17
   Plus two problems on a handout.
9. Due 3/29:
   Ch 11.5 # 1, 3, 13, 15, 17
   Ch 12.1 #1-15odd, 27
10. Due Monday 4/10:
    Ch 12.2 # 1, 9, 15, 16, plus do #12 in two ways (see handout).
    Ch 12.3 # 1, 3, 5, 11, 15, 21
    Ch 12.4 # 3, 5, 7, 11, 15
    Plus three problems and other information on a handout
11. Due Monday 4/17:
    Ch 12.5 # 7 (look out.. the correct answer is 128/3, not what book says)
    Ch 12.6 # 1
    Ch 12.7 # 1, 5, 9, 14, 15
12. Due Wednesday 4/26:
    Ch 13.1 # 1
    Ch 13.2 # 1, 2, 5, 6, 9, 10
13. Due Wednesday 5/3:
    Ch 13.2 # 13, 14, 15
    Ch 13.3 # 3, 5, 11 (use MathCAD), 17
    Ch 13.4 # 1, 4, 15
    Plus: Sketch the even and odd periodic extensions of f(x) in 13.4#1,4.