Math 231 A -   Differential Equations

Spring Semester 2003

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Class Syllabus

 

 

Departmental Syllabus

 

Assignments

 

 

Course Calendar

 

 

Department of Mathematics and Computer Science

 

Math Center

 

 

Problem Solving Paradigm

 

 

Maple Worksheets

 

 

 

 

Announcements

 

The final exam is Monday, May 12th at 3:30 p.m.

 

The results of the team competition are found at Team Points.

 

 

Test 4 – Fri. May 2nd

 

Variation of Parameters &

Laplace Transforms, Ch. 13, 14

 

Solutions to Test 4

 

Test 2 – Wed. March 5th

Linear D.E.

Direction Fields

Euler Approx.

Modeling – compartment prbs, exp. Growth/decay

Exact Equations

 

The test Old Test 2 has some problems, compartment problems are an obvious omission that will be on the test

 

Test 3 – Wed. April 9th

 

Ch. 7, Integral Curves in 8, 9, 10 thru Undetermined Coefficients

 

Ch. 7 – be able to do problems like on the quiz & #8

Be able to distinguish btw a surface F(x,y) and F(x,y) = C.

 

Test 3 from previous semester - answers may come later

 

 

 

Maple Worksheets

 

An Introduction to Maple (Dr. Becker)

 

Ch. 1 Integration Review

 

Direction Fields

Ch. 3 Examples

 

Euler's Method

Ch.4 Examples

 

Unit Step Function - Ch. 7

 

Dirac - Ch. 7

 

Integral Curves of Exact Equations

 

Laplace Transforms of Functions

Method of Laplace Transforms for Solving ODEs

Inverse Laplace Transforms

 

 

 

 

Spring 2003 Course Calendar

 

Week

Monday

Wednesday

Friday

1

Jan.

 

Class handouts

Review integration

Introduction to differential equations

2

MLK Holiday

Intro DE’s

Review: integration techniques

3

Separable equations

review implicit diff. – q1

Initial value problems

Q2 – integration

DE team competition

4

Feb.

Intro direction fields

 

Test 1

5

Direction fields

Euler’s Formula

Linear 1st Order DE

6

Linear 1st Order Initial Value Problems

 

Ch. 6

 

7

Exact equations

 

 

8

Mar.

 

Test 2

Unit step function

 

Spring Break

 

9

Dirac Delta Function

 

Ch. 7

Integral Curves

10

 

Ch. 9 - real characteristic roots

Ch. 9 - complex characteristic roots

11

Apr.

Cauchy-Euler

Ch. 10 - Undetermined Coefficients

 

12.

Variation of parameters

Test 3 - Ch. 7, 9, 10 w/o var. of parameters, integral curves

 

13

 

Ch. 13 - Laplace Transforms

Good  Friday

14

Ch. 13

Ch. 13

Last day to submit ANY previously assigned homework

Ch. 14

15

Ch. 14

 

Test 4- Ch. 13, 14, &

Variation of Parameters

16

May

Last Day of Class

 

 

 

 

May 12th

Comprehensive  Final Exam

3:30 – 5:30 p.m.