MATH 427K. Advanced Calculus for Applications I.

Unique #57700, Fall 2009

General Information

Matlab dirfield.m
Java-based tool for a direction field and phase plot
Matlab code example of Euler's method
    exForwardEuler.m
    forwardEuler.m
    f.m
Matlab fs1.m and fs2.m examples of Fourier Series
Matlab heat1.m and heat2.m examples of heat equation solutions
Matlab wave.m example of the wave equation

Flu prevention: In determining the homework and quiz scores, the lowest quiz and two lowest homework scores will be dropped. If you feel you may have the flu, please stay home!

Homework Exercises, Quizzes, and Exams

Final Exam. Saturday, December 12, 2:00-5:00 p.m. in GAR 0.102. Comprehensive coverage of the entire course, with a slight emphasis on Chapter 10. You may use a single page of notes on this exam (both sides). A table of Laplace transforms will be available (no calculators allowed).

Problem Set 24. Practice: §10.7 # 4(a), 7, 10(a), 15
Due: Th 12/3 §10.7 # 9

Problem Set 23. Practice: §10.4 # 2, 5, 10, 16, 31 and §10.5 # 1, 22, 23 and §10.6 # 2, 4, 15 and §10.7 # 4(a), 9, 15
Due: Tu 12/1 §10.5 # 4, 10 and §10.6 # 12(a,b)

Remark: Unless the University is closed, we will have class on Wednesday, Nov. 25. However, there will be no quiz that day, since many people will be traveling and miss class.

Problem Set 22. Practice: §10.2 # 1, 3, 10, 15, 20 and §10.3 # 1, 13, 14 and §10.4 # 2, 5, 6, 10, 31
Due: Tu 11/24 §10.3 # 2 and §10.4 # 16, 17

Exam 3. Th 11/19 Covering §5.3 to §5.5 and §6.1 to §7.5. A table of Laplace transforms will be available (no calculators allowed).
    A-     90
    B-     80
    C-     70
    D-     60
    Mean 82.8     St. Dev. 14.6     Median 86

Problem Set 21. Practice: §7.6 # 15, 22, 25 and §10.1 # 2, 5, 10
Due: Tu 11/17 §7.6 # 3, 9 and §10.1 # 8

Problem Set 20. Practice: §7.1 # 4 and §7.5 # 18, 19, 20, 29, 31
Due: Th 11/12 §7.1 # 5 and §7.5 # 13, 15

Quiz 3. W 11/11
Use the Laplace Transform to solve y' - 2y = 1, y(0) = 3. You are given the table

   f(t) F(s)
   e^at 1/(s-a)
   f'(t)    sF(s)-f(0)

Problem Set 19. Practice: §7.2 # 24 and §7.3 # 13, 16, 21 and §7.4 # 5 and §7.5 # 16
Due: Tu 11/10 §7.2 # 22 and §7.3 # 22 and §7.5 # 4

Problem Set 18. Practice: §7.2 # 1, 7 and §7.3 # 1, 3, 7
Due: Th 11/5 §6.6 # 14

Problem Set 17. Practice: §6.5 # 2, 10, 16 and §6.6 # 1, 3, 8, 15, 19, 22
Due: Tu 11/3 §6.5 # 4 [the solution only--no graph] and §6.6 # 7, 9

Problem Set 16. Practice: §6.2 # 14, 17, 24 and §6.3 # 9, 14, 19 and §6.4 # 8, 11
Due: Th 10/29 §6.2 # 16 and §6.3 # 17 and §6.4 # 2 [the solution only--no graph]

Problem Set 15. Practice: §5.4 # 17 and §5.5 # 2, 8, 13 and §6.1 # 1, 6, 11 and §6.2 # 1, 7
Due: Tu 10/27 §5.5 # 1, 16 and §6.1 # 5

Exam 2. Th 10/22 Covering §3.1 to §5.2, but skip §3.7-8 (no calculators).
    A-     90
    B-     80
    C-     70
    D-     60
    Mean 84.0     St. Dev. 12.7     Median 88

Problem Set 14. Practice: §5.3 # 3, 6, 11 and §5.4 # 4, 6
Due: Tu 10/20 §5.3 # 10, 12 and §5.4 # 11

Problem Set 13. Practice: §5.2 # 8, 14, 19
Due: Th 10/15 §5.1 # 23 and §5.2 # 6

Problem Set 12. Practice: §4.3 # 2, 8, 17 and §4.4 # 2, 7, 17 and §5.1 # 2, 7
Due: Tu 10/13 §4.3 # 3, 14 and §4.4 # 1

Problem Set 11. Practice: §4.1 # 2, 7, 18 and §4.2 # 2, 11, 15, 17, 37
Due: Th 10/8 §4.1 # 8 and §4.2 # 20

Problem Set 10. Practice: §3.5 # 13, 28 and §3.6 # 2, 14, 28 and §3.7 # 2 and §3.8 # 9
Due: Tu 10/6 §3.6 # 9, 29 and §3.7 # 7

Quiz 2. W 9/30
Find the general solution to y'' - y' - 2y = 0 (or y'' + y' - 2y = 0: there seems to be disagreement as to what was written on the blackboard).

Problem Set 9. Practice: §3.4 # 19, 23 and §3.5 # 4, 6, 13
Due: Th 10/1 §3.4 # 26 and §3.5 # 3

Problem Set 8. Practice: §3.2 # 22, 25, 28 and §3.3 # 1, 6, 21, 29 and §3.4 # 4, 13, 16,
Due: Tu 9/29 §3.2 # 14 and §3.3 # 11, 19 and §3.4 # 6

Exam 1. Th 9/24 (in the recitation session) up to and including §2.7.
    A-     90
    B-     80
    C-     70
    D-     60
    Mean 84.0     St. Dev. 16.5     Median 90

Problem Set 7. Practice: §3.1 # 10, 12, 20, 27 and §3.2 # 4, 8, 9
Due: Tu 9/22, §3.1 # 4, 28 and §3.2 # 2

Problem Set 6. Practice: §2.6 # 19, 23, 24, 27 and §3.1 # 5, 13
Due: Th 9/17, §2.6 # 26

Problem Set 5. Practice: §2.6 # 3, 8, 17
Due: Tu 9/15, §2.6 # 10, 18 and §2.7 # 1(a)

Quiz 1. F 9/11
Solve y' = xy², y(0) = 2

Problem Set 4. Practice: §2.5 # 3, 14, 16, 17
Due: Th 9/10, §2.5 # 7, 11

Problem Set 3. Practice: §2.2 # 12, 17, 23, 30 and §2.4 # 2, 8, 11, 18, 27
Due: Tu 9/8, §2.1 # 21 and §2.2 # 4 and §2.4 # 5, 22

Problem Set 2. Practice: §2.1 # 4, 14, 24, 31, 32 and §2.2 # 3, 6
Due: Th 9/3, §1.2 # 13 and §2.1 # 19, 30

Problem Set 1. Practice: §1.2 # 4, 5, 8, 17 and §1.3 # 2, 14, 25
Due: Tu 9/1, §1.2 # 1 and §1.3 # 10

Problem Set 0. Practice: §1.1 # 4, 9, 14, 15, 20, 23
Due: None