Math 2243: Linear Algebra and Differential Equations

COURSE SYLLABUS

Summer 2004

CLASS MEETINGS: 1:25-3:20 MTWThF (AmundH 124)

INSTRUCTOR: Sasha Voronov

OFFICE: VinH 324

PHONE: (612) 624-0355

E-MAIL ADDRESS: voronov@umn.edu. You are welcome to use e-mail to send questions to me.

INTERNET: All class announcements will be posted on the class homepage http://www.math.umn.edu/~voronov/2243/index.html and NOT handed out in class.

OFFICE HOURS: MWTh after class and by appointment.

TEXT: Differential Equations and Linear Algebra, 2nd edition, by Goode.

OVERVIEW: The course is divided into two somewhat related parts. Linear algebra: matrices and matrix operations, Gaussian elimination, matrix inverses, determinants, vector spaces and subspaces, dependence, Wronskian, dimension, eigenvalues, eigenvectors, diagonalization. ODE: Separable and first-order linear equations with applications, 2nd order linear equations with constant coefficients, method of undetermined coefficients, simple harmonic motion, 2x2 and 3x3 systems of linear ODE's with constant coefficients, solution by eigenvalue/eigenvectors, nonhomogeneous linear systems; phase plane analysis of 2x2 nonlinear systems near equilibria. Audience: Part of the standard 2nd year calculus course for students outside of IT.

PREREQUISITES: Math 1272 or 1282 or 1372 or 1572, 4 credits.

COVERAGE:

Chapter 1 through 1.8
Chapter 2 through 2.6, skipping 2.2
Chapter 3 through 3.6
Chapter 4 through 4.3
Chapter 5 through 5.6
Chapter 6 through 6.7, skipping 6.3, 6.4
Chapter 8 through 8.8, skipping 8.1

GETTING HELP:

Free tutoring services are offered in Lind Hall 150/128. Walk-in hours: 8 am - 4:30 pm. Schedules of specific tutors will be posted and available in 128 and 150 Lind Hall each week. Call 624-2890 for more information.
Hire a tutor; get a list of tutors in VinH 115. See more information at http://www.math.umn.edu/arb/ugrad/Tutoring_General_Information.html.
Attend my office hours (see above).
E-mail: Send questions or comments to me at voronov@umn.edu
Call me up at 624-0355.

EXAMS AND OTHER REQUIREMENTS: There will be daily homework, four one-hour midterm exams during the first hour on the following Fridays:

June 25, July 2, July 16, and July 30,

and a common final on Friday, August 6, from 1:25 to 3:20 p.m., during the last class meeting. All tests are closed-book, closed-notes, no "cheat sheets", no calculators.

MAKE-UP TESTS: There will be no make-up tests. If you miss an hour exam, your grade on it will be the prorated grade of your final exam.

HOMEWORK AND QUIZZES: Homework will be collected daily and a random selection of problems graded. We will also spend a good deal of time discussing it in class. Also note that selected homework problems (or similar) may be given on tests. This is why it is crucial for you to do the homework before each class and, moreover, remember the ideas and techniques used in your solutions. Getting together with other students (that is, in study groups) is a very efficient way to do homework (and have fun and pizza).

GRADING POLICY: Grades will be assigned on curve, using the following weights:

Midterm exams: 100 points each
Final: 200 points

Class participation will also be taken into account.

CALCULATOR POLICY: No calculators will be allowed for any tests.

IMPORTANT DATES:

July 5 - Independence Day (observed).

August 6 - Last day of instruction; final examination.