This page will be updated throughout the semester.

**Instructor: Marshall Hampton**

**Office: 172 SCC**

**Email: mhampton at d.umn.edu
(preferred contact method)**

**Telephone: 726-6329**

**Office hours: 10:40 - 11:40 M, Tu, W, Th, or by appointment. **

**Class homepage:** http://www.d.umn.edu/~mhampton/m3280s9.html (this page)

**Lecture Times: ** 09:30 A.M. - 10:40 A.M., M,Tu,W,Th (05/25/2009 - 07/17/2009) , Cina 308.

**Lab Times: 09:30 A.M. - 12:00 P.M. , F (05/25/2009 - 07/10/2009) , MonH 209.**

**Lab TA:** Jingrui Li
.

** Prerequisites:** Math 1297 (Calculus II) or equivalent.

** Student Conduct Code:** see the full description at www1.umn.edu/regents/policies/academic/Student_Conduct_Code.html.

**Textbook: **Differential
Equations and Linear Algebra, 2nd Edition, Edwards and Penney,
Prentice-Hall. This will be supplemented by a book that I am working on (with David Joyner of the US Naval Academy). A current draft can be found here.

**Topics: **This course will build on your knowledge of calculus, extending it to differential equations. In addition to their intrinsic mathematical interest, differential equations are applied in a wide variety of fields. In order to understand systems of linear differential equations, we will also learn some basic linear algebra. We will try to cover some sections from every chapter of the book, although more attention will be given to chapters 1 through 7. These will be covered at a pace of roughly one chapter per week.

**Exams: ** There will be 6 quizzes and a final exam. You are allowed a calculator and sheet of notes. Make-up exams are only allowed for documented illness or University excused absences and if the instructor is notified in advance. Make arrangements for a make-up as soon as possible.

Practice final and practice final solutions. I highly recommend completing the practice final before looking at the solutions.

**Calculator Policy:** Calculators are allowed during exams. However, you are expected to show the steps that justify your answers, and to give exact answers whenever possible. This also applies to homework unless the question specifically instructs you to use a computer or calculator. Any step on which you use a calculator must be clearly indicated (just write "CALCULATOR").

**Grading: ** Grades will be based on your understanding of the material as demonstrated by class participation (mainly worksheets), office hours, homework, labs, and exams. The homework assignments will be weighted equally, with the lowest score dropped. The lowest quiz score will also be dropped. Grades will be assigned on a curve. The approximate weighting is homework is 15%, quizzes 35%, labs 15%, worksheets 15%, and the final exam is 20%.

W 21 W 20 W 19 W 18 W 17 W 16 W 15

W 14 W 13 W 12 W 11 W 10 W 9 W 8 W 7

**Homework: **Late homework is not accepted. Your answers should include intermediate steps - it is not acceptable to only write down an answer.

Assignment 1 (due Monday June 1).

Assignment 2 (due Tuesday June 9th).

1.5: 29, 33, 38, 42.

2.1: 9, 15, 24.

2.2: 1, 3, 7, 22.

2.3: 2,4.

2.4: 1, 7, 26. (Mathematica, Sage or other computational assistance recommended)

You can use the function in this Mathematica notebook, or this Sage worksheet, to do some of the numerical homework. The Sage worksheet is also shared on the class Sage server (make a copy if you use it).

Assignment 3 (due Tuesday June 16th).

1.6: 17, 57.

3.1: 1, 5, 23, 31.

3.2: 11, 13, 28.

3.3: 1, 11, 32.

3.4: 9, 12, 34, 36, 37, 39.

Assignment 4 (due Tuesday June 23rd).

3.5: 1, 14, 30.

3.6: 4, 8, 21, 22, 50, 52, 60.

4.1: 5, 9, 15, 35.

4.2: 1, 3, 4, 7, 29.

Assignment 5 (due Tuesday June 30th).

4.3: 6, 17.

4.4: 9, 10, 12.

4.7: 5, 7, 8.

6.1: 1, 2, 17, 19, 27, 33, 34.

6.2: 1, 2, 21, 29, 31, 38.

6.3: 1.

Assignment 6 (due Tuesday July 7th).

5.1: 1, 3, 27, 35, 39, 47.

5.2: 1, 9.

5.3: 1, 5, 11, 23, 50.

5.4: 8, 13, 14.

5.5: 2, 5, 20, 22, 28.

Assignment 7 (due Wednesday June 15th).

7.1: 1, 5.

7.3: 1, 2, 4, 7, 8, 11, 38.

7.6: 1, 2.

10.1: 4, 13, 20, 41.

10.2: 3, 11, 17, 37.

**Labs: **

Lab 1 (due F 6/5) Mathematica version, Sage version

Lab 2 (due F 6/12) Mathematica version, Sage version.

Lab 3 (due F 6/19) Mathematica version, Sage version.

Lab 4 (due F 6/26) Mathematica version, Sage version.

Lab 5 (due F 7/3) Mathematica version, Sage version.

Lab 6 (due F 7/17) Mathematica version, Sage version.

**Other materials: **

MIT ODE lectures online**Policy statement:** The University of Minnesota is committed to the policy that all persons shall have equal access to its programs, facilities, and employment without regard to race, religion, color, sex, national origin, handicap, age, veteran status, or sexual orientation.

**Disabilities: **An individual who has a disability, either permanent or temporary, which might affect his/her ability to perform in this class should contact the instructor as soon as possible so that he can adapt methods, materials and/or tests as needed to provide for equitable participation.