Math 308, Sections 506-507

Math 308, Sections 506-507

Differential Equations

Spring 2007

Final Exam Info

The final exam is on Tuesday, May 8:

If you have a university-approved reason to take the test at a different time (such as 3 exams on the same day), send me an e-mail at mbelk@math.tamu.edu.

Office Hours
I will have office hours on Saturday from 2-4 pm in Blocker 156, and on Monday from 1-4 pm in Milner 122.

Final Exam Topics

  1. For loops in Matlab
  2. Solving differential equations with Taylor Series
  3. Separable or first order linear differential equations
  4. Euler's method
  5. Electric circuits (possibly a system)
  6. Mixing problem (possibly a system)
  7. Reduction of order
  8. Method of undetermined coefficients
  9. Laplace transform initial value problem (dirac delta or discontinuous function)
  10. Solving a system with eigenvalues and eigenvectors
  11. Direction field or phase line or phase plane

Practice Finals
Here are the two practice finals:

Here is the Table of Laplace Transforms that will be included on final exam.

Practice Problems
In addition to the Practice Finals, previous problems from the tests, practice tests, and the syllabus on the above topics are good practice problems.

Syllabus
The syllabus contains some suggested problems on the most recent material (for loops, cosh and sinh, and Taylor Series). Here are solutions to the even-numbered suggested problems and to the Matlab for loop problems.

Announcements

Test 6 Solutions
Here are solutions to Test 6.

Chapter 4 Solutions
We are using a custom edition textbook, where Chapter 4 is from an earlier edition of the book. One result is that the answers in the back of the book and the solution manual are not referring to the problems in Chapter 4 of the textbook. The following link contains solutions to some of the Chapter 4 problems:

If you have trouble with the above link, the following is a .pdf file of the Chapter 4 solutions:

Help Sessions

Syllabus
The Syllabus is a tentative schedule for the course, including suggested practice problems. It will be updated throughout the semester. I recommend checking the page regularly, and working the suggested practice problems the week the material is covered in class.

Google Group
I have created a Google group this class. You can view the group at http://groups.google.com/group/math308.

Computer Access

Class on Wed.
In class on Wed, Feb. 7, we used Matlab to look at solutions to some differential equations. The following link will take you to the exercises:

Course Information

Instructor: Maria Belk (mbelk@math.tamu.edu)

Time and Room

Office Hours: (tentatively) Tuesday and Thursday 2 pm to 4 pm in Milner 122

First Day Handout

Test 6 Info

Test 6 Solutions
Here are solutions to Test 6.

The sixth test will be in class Wed, April 25. The sixth test will cover:

The suggested problems from Weeks 12 and 13 of the syllabus are good practice problems for the test, as are the problems on the Practice Tests.

Practice Tests
Here are 2 practice tests:

Solutions to Practice Problems
Here are solutions to the Week 12 and Week 13 suggested problems.

Test 5 Info

Solutions to Test 5
Here are Solutions to Test 5.

The fifth test was in class Wed, April 11. The fifth test will cover:

The suggested problems from Weeks 9, 10, and 11 of the syllabus are good practice problems for the test, as are the problems on the Practice Tests.

Practice Tests
Here are 2 practice tests:

Here is the Table of Laplace Transforms that will be included on Test 5. This table includes the Laplace transform of the unit step function and the Dirac delta function in addition to the Laplace transforms from the table on Test 4.

Solutions to Practice Problems
Here are solutions to the Week 9, Week 10, and Week 11 even-numbered suggested problems.

Office Hours
I will have office hours on Tuesday from noon to 5pm.

Information for Test 4

Solutions to Test 4
Here are Solutions to Test 4.

The fourth test was in class Wed, March 21 (the Wed. after spring break). The fourth test covered:

The suggested problems from Weeks 7 and 8 of the syllabus are good practice problems for the test, as are the problems on the Practice Tests.

Practice Tests
Here are 2 practice tests:

Here is the Table of Laplace Transforms that will be included on Test 4. You do not need to memorize any Laplace Transforms, as the table will be on the test.

Solutions to Practice Problems

.

Information for Test 3

Test 3 Solutions
Here are solutions:

Test 3 Statistics
The median on the test was 86 and the mean was 83. Here are some more statistics:
Grade A B C D F
Score 90-100 80-89 70-79 60-69 < 60
Number of Students 41 31 15 8 6

Test 3 Info
The third test was in class Wed, Feb. 28. The third test covered:

The suggested problems from Weeks 5 and 6 of the syllabus are good practice problems for the test, as are the problems on the Practice Tests.

Practice Tests
Here are 2 practice tests:

Solutions to Practice Problems

.

Information for Test 2

Test 2 Solutions
Here are Solutions to Test 2.

Test 2 Statistics
The median was a 78, and the mean was 72.59. Here are more statistics:

Grade A B C D F
Score 90-100 80-89 70-79 60-69 < 60
Number of Students 20 28 18 12 24

Test 2 Info
The second test was in class Wed, Feb. 14. The second test covered:

The suggested problems from Week 3 and 4 of the syllabus are good practice problems for the test, as are the problems on the Practice Tests. You may also want to look at the Exercises that we did in class on Wednesday.

Practice Tests
Here are 2 practice tests:

Solutions to Practice Problems
There are solutions to the Week 3 and Week 4 even-numbered suggested problems posted on the syllabus.

If you have questions:

Information for Test 1

Solutions to Test 1
Here are the solutions to Test 1. The differences between the tests for the two sections are very minor, but you will probably want to look at the test for your section.

Test 1 Statistics
The median was a 74, and the mean was 68.5. Here are more statistics:

Grade A B C D F
Score 90-100 80-89 70-79 60-69 < 60
Number of Students 15 21 21 9 34

Test 1 Info
The first test was in class Wed, Jan. 31. For the first test, you need to know:

The suggested problems from Week 1 and 2 of the syllabus are good practice problems for the test, as are the problems on the Practice Tests.

Practice Tests
Here are 2 practice tests:

Solutions to Practice Problems
There are solutions to the Week 1 and Week 2 even-numbered suggested problems posted on the syllabus. Here are the suggested practice problems from the textbook Ordinary Differential Equations using MATLAB, in case you do not have the MATLAB textbook.