Math 252 - Review Material and Assignment Schedule
- Spring 2011
Mathematics Review: Below are reference sheets
by Paul Dawkins that
should contain the basic and advanced
mathemtatics you have been studying for the last 14 or
so
years. You need to know this material
for this course. Please look them over.
If you need some practice computing derivatives and integrals, you might
try the following worksheets (Univ. of Arizona):
Serious
Errors Please review this list!!!
Mathematica, Maple and TI-89 Help
Required Text: Zill, First Course in Differential
Equations, 9th Ed.
Supplement:
Paul
Dawkin's Online ODE text
Weekly Homework-- * = problems that should be solved
using
Maple or calculator
- Week 0 - Calculus
Review - Fun for the dreary winter days
- Week 1 - Introduction, Classification of
DE's, Direction Fields - Problems due: Friday,
Jan 14
- Section 1.1: 2,8,12,20,29,31
- Section 1.2: 4,8,12
- Section 2.1.1: 6* - Direction Field:
Maple Example,
TI-89 Example,
Mathematica Notebook
Section
2.2: 2,6,16,17
- Week 2 - 1st
order separable and linear ODE's; tank problems - Due Friday:
Jan. 21
-
Section
2.2: 21,20,24,28
- Section 1.3: 10
- Section 2.3: 6,10,18,25
- Section 3.1: 22
- Week 3 - 2nd
order ODE's; basic theory, constant coefficient equations;
- Due: Jan 28
- Section 2.6: 1
- Section - Chapter 2 Review pg. 81: 11,15
- Section 3.1: 27,38
- Section
4.1: 2,15,17,23
- Section 4.3: 1,4,6,12,16,29,35
- Week 4 -
undetermined coefficients
mechanical systems.
Due: Feb 4
- Section
4.4: 2,4,12,15,30,33
- Week 5 - Exam 1 - Feb. 11
-- variation of parameters; Applications of 2nd order ODE's;
Due: Feb. 9
- Section 4.6: 1,3,9,19
- Section 5.1: 1,3,6,21,29,33,37
- Week 6 -
BVP's; Cauchy-Euler equations,
Series Solutions of 2nd order ODE's, Due: Feb. 21
- Section 4.3: 38,39,42
- Section 5.2: 8 (Set EI=1, P=25, w_0=2, L=4),
9(find positive eigenvalues), 27
-
Section 4.7: 1,5,9,11,21,25
- Section 6.1:
1,3,9,15 -- Find the 1st three nonzero terms in each
solution: 17
- Week 7 - More
Series solutions, Bessel Functions, Due:
Feb. 25
- Section 6.1: Find the 1st three nonzero terms in each
solution: 21,23,31
- Section 6.2: 1,3,7
- Section 6.3: 1,3,7
- Week 8 -
Laplace Transform, Due: Mar. 4
-
Section 7.1: 1.3,10,11,13,19,21,25,27,29
- Section 7.2: 1,3,5,10,12,15,23,25; --
very important: 33,35,37,38
- Week 9 -
Laplace Transform, Due: Mar. 11
- Section 7.3: 1,6,7,9,22,25,20; very
important: 23,25,29
- Section 7.4: 1,2,3
- Section 7.5: 1
- Week
10 - Laplace Transform and Systems of ODE's, Due:
Mar. 25
- Section
7.3: 13,16,18,37,39,45,49-51,61,64,67
- Section
7.4: 11,13,20,23,33
- Section 7.5: 5,7
- Chapter 7 Review: 1,12,13,15,18,25,34
- Maple and Laplace
transforms
- Mathematica and Laplace
transforms
-
Convolution and video
- Week
11 - Systems by elimination and Laplace transform - Exam II -
Apr. 1; HW Due: Mar. 30
- Section 3.3: 5,7
- Section 4.8: 1,2,21
- Section 7.6: 1,3, 12
- Week
12 - Systems and review of linear algebra, Due: Apr
8
- Week 13 - Linear Algebra,
Due: Apr 15
-
Appendix II: 6,9,19,33,41,47,48,49,51,53,61
- Week 14 - Systems,
Due: Apr 22
-
Section 8.1: 1,4,13,17,19,26
- Section 8.2: 1,5,9,13,19
- Week 15 - Systems and Review
- Due: Apr 29
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Last Modified:
by Charles Tier