Math 307B Spring 2003

Math 307B Spring 2003
Instructor: Kirk Blazek
Office: Padelford C-8L (one floor below math advising)
Office Hours: Tuesday 1-2pm; Thursday 10-11am or by appointment

Class meets MWF from 9:30-10:20 in Smith 405.

Grading Scheme:

Homework 15%

Proficiency Test 5%

Exams 20% Each

Final 40%

Homework	15%
Proficiency Test	5%
Exams	20% Each
Final	40%

The Final
The practice final is ready for your viewing pleasure. I will not be posting solutions to it, but you can ask me questions about it before the exam.
I will have office hours before the exam. They are Monday noon-2pm and Tuesday 11:30-1:30pm.
Don't forget. The final exam is Wednesday, June 11 at 8:30 in the morning in our usual classroom.

Homework
Homework will be due each Wednesday at the beginning of class. You will get one dropped homework assignment. Late homework is not accepted. The homework assignment for the week will be posted here on the webpage approximately one week before it is due.

Week Sections Homework Problems Due Date

1 Chapter 1 Introduction/Overview
2.1 Linear Equations w/Constant Coefficients
2.2 Separable Equations
(Proficiency Test Friday) 1.2 #2, 6, 9
1.3 #5, 6, 9, 12, 14
2.1 #5, 14, 19, 28
2.2 #3, 8, 10, 12, 25 April 9th

2 2.3 Modeling with First Order Equations
2.5 Autonomous Equations and Population Dynamics
2.6 Exact Equations 2.3 #3, 4, 6, 10, 15
2.5 #1, 5, 7, 9, 25
2.6 #1, 2, 7, 8, 12 April 16th

3 2.4 & 2.8 Differences Between Linear and Nonlinear equations
and The Existence and Uniqueness Theorem (briefly)
Review
Exam Friday the 18th
Average: 36.5/50 Std Dev: 8.2 Review Problems:
2.1 #15, 16, 20, 29
2.2 #11, 13, 14, 24, 26 (don't worry about graphing these)
2.3 #7, 18, 19, 27
2.5 #2, 3, 4, 12, 22
2.6 #5, 6, 10, 11, 15, 16 No homework assigned this week.
Homework #2 is due this week, of course.

4 3.1 Homogeneous Equations With Constant Coefficients
3.4 Complex Roots of the Characteristic Equation
3.5 Repeated Roots
4.2 Higher Order Equations With Constant Coefficents 3.1 #2, 6, 8, 10, 12, 13, 17, 21, 23
3.4 #3, 4, 8, 12, 18, 19, 22
3.5 #4, 6, 12, 14, 18 April 30th

5 3.6 The Method of Undetermined Coefficients
3.7 The Method of Variation of Parameters
5.5 Euler Equations 4.2 #18, 22, 23, 24, 29, 34
3.6 #4, 7, 9, 15, 18
3.7 #2, 4, 5, 7,10
5.5 #1, 5, 8, 9, 13, 14, 15 May 7th

6 3.8 & 3.9 Mechanical and Electrical Vibrations 3.8 #5, 7, 8, 10, 12, 14, 18, 20
3.9 #8, 9, 11, 16, 17 May 14th

7 More Vibrations
Review
Exam Friday the 16th
Average: 31.6/50 Std Dev: 9.1 Review Problems:
3.6 #3, 6, 7, 16, 17
3.7 #1, 3, 8, also try 3.6 #6, 17, and 18 with variation of parameters
4.2 #11, 13, 14, 16, 17, 31, 34, 35
5.5 #16, 17, 18, 19, 20
3.8 & 3.9 see homework problems due this week (except electic circuits) No homework assigned this week.
Review problems will be posted.

8 6.1 Definition of the Laplace Transform
6.2 Solutions of Initial Value Problems
Friday, May 23rd-Class Cancelled (no office hours on Thursday) 6.1 #14, 16, 18, 19
6.2 #1, 2, 5, 8, 9, 11, 13, 18, 21, 23 May 30th (Friday)

9 Monday, May 26th-Holiday (Memorial Day)
6.3 Step Functions
6.4 Differential Equations with Discontinuous Forcing Functions 6.3 #2, 6, 7, 8, 9, 12, 15, 16, 18
6.4 #1, 3, 5, 6, 8, 9,10 June 6th (Friday)

10 6.5 Impulse Functions
6.6 The Convolution Integral (time permitting)
Review for the Final Review Problems for the final (This is just a sampling of problems. Do not assume that this is an exhaustive set of review questions):
2.1 #6, 8, 20
2.2 #3, 11, 15
2.3 #1, 2, 4
2.6 #3, 4, 11
3.6 #3, 15, 16
3.8 #6, 7, 11
4.2 #12, 14, 16
5.5 #1, 9, 15
6.2 #14, 21, 23
6.3 #8, 9, 11
6.4 #5, 6, 7
6.5 #1, 4, 6, 8, 12

Week	Sections	Homework Problems	Due Date
1	Chapter 1 Introduction/Overview 2.1 Linear Equations w/Constant Coefficients 2.2 Separable Equations (Proficiency Test Friday)	1.2 #2, 6, 9 1.3 #5, 6, 9, 12, 14 2.1 #5, 14, 19, 28 2.2 #3, 8, 10, 12, 25	April 9th
2	2.3 Modeling with First Order Equations 2.5 Autonomous Equations and Population Dynamics 2.6 Exact Equations	2.3 #3, 4, 6, 10, 15 2.5 #1, 5, 7, 9, 25 2.6 #1, 2, 7, 8, 12	April 16th
3	2.4 & 2.8 Differences Between Linear and Nonlinear equations and The Existence and Uniqueness Theorem (briefly) Review Exam Friday the 18th Average: 36.5/50 Std Dev: 8.2	Review Problems: 2.1 #15, 16, 20, 29 2.2 #11, 13, 14, 24, 26 (don't worry about graphing these) 2.3 #7, 18, 19, 27 2.5 #2, 3, 4, 12, 22 2.6 #5, 6, 10, 11, 15, 16	No homework assigned this week. Homework #2 is due this week, of course.
4	3.1 Homogeneous Equations With Constant Coefficients 3.4 Complex Roots of the Characteristic Equation 3.5 Repeated Roots 4.2 Higher Order Equations With Constant Coefficents	3.1 #2, 6, 8, 10, 12, 13, 17, 21, 23 3.4 #3, 4, 8, 12, 18, 19, 22 3.5 #4, 6, 12, 14, 18	April 30th
5	3.6 The Method of Undetermined Coefficients 3.7 The Method of Variation of Parameters 5.5 Euler Equations	4.2 #18, 22, 23, 24, 29, 34 3.6 #4, 7, 9, 15, 18 3.7 #2, 4, 5, 7,10 5.5 #1, 5, 8, 9, 13, 14, 15	May 7th
6	3.8 & 3.9 Mechanical and Electrical Vibrations	3.8 #5, 7, 8, 10, 12, 14, 18, 20 3.9 #8, 9, 11, 16, 17	May 14th
7	More Vibrations Review Exam Friday the 16th Average: 31.6/50 Std Dev: 9.1	Review Problems: 3.6 #3, 6, 7, 16, 17 3.7 #1, 3, 8, also try 3.6 #6, 17, and 18 with variation of parameters 4.2 #11, 13, 14, 16, 17, 31, 34, 35 5.5 #16, 17, 18, 19, 20 3.8 & 3.9 see homework problems due this week (except electic circuits)	No homework assigned this week. Review problems will be posted.
8	6.1 Definition of the Laplace Transform 6.2 Solutions of Initial Value Problems Friday, May 23rd-Class Cancelled (no office hours on Thursday)	6.1 #14, 16, 18, 19 6.2 #1, 2, 5, 8, 9, 11, 13, 18, 21, 23	May 30th (Friday)
9	Monday, May 26th-Holiday (Memorial Day) 6.3 Step Functions 6.4 Differential Equations with Discontinuous Forcing Functions	6.3 #2, 6, 7, 8, 9, 12, 15, 16, 18 6.4 #1, 3, 5, 6, 8, 9,10	June 6th (Friday)
10	6.5 Impulse Functions 6.6 The Convolution Integral (time permitting) Review for the Final	Review Problems for the final (This is just a sampling of problems. Do not assume that this is an exhaustive set of review questions): 2.1 #6, 8, 20 2.2 #3, 11, 15 2.3 #1, 2, 4 2.6 #3, 4, 11 3.6 #3, 15, 16 3.8 #6, 7, 11 4.2 #12, 14, 16 5.5 #1, 9, 15 6.2 #14, 21, 23 6.3 #8, 9, 11 6.4 #5, 6, 7 6.5 #1, 4, 6, 8, 12

Exams
There will be two exams during the quarter, and one final at the end of the quarter. The first exam will be on Friday, April 18th. The second exam will be on Friday, May 16th. The final will be on Wednesday, June 11 at the inhuman hour of 8:30 in the morning, lasting until 10:20. It will be in the same room as the class itself, Smith 405.

The exams will be closed everything. No books, no notes, no calculators. Take comfort in that I plan on including a table of Laplace transforms with the final.

Links
John Sylvester's software page, contains programs to plot things like directions fields. They are Matlab based web programs, but links to how the syntax works are also on this page. Pretty neat.
There are other people teaching differential equations this quarter. If you want to see how things are in the other classes (they will possibly post different review materials etc than I will), feel free to check them out.
Math 307D taught by David Maxwell
Math 307E taught by Jason Chen
Math 307F taught by Eric Bahuaud