Math 104: Introduction to Linear Algebra

Instructor: Chad Schoen

Class meetings: Tues.-Thurs. 10:05 - 11:20 in room 205 Physics Building.

Course Goals:

Math 104 will introduce students to the basic notions of linear algebra. Linear algebra is used extensively in most areas of mathematics. In particular it plays an important role in applications of mathematics to business, biology, economics, engineering, physics and some areas of computer science. The basic notions to be covered in this course include vector spaces, linear transformations, determinants, eigenvalues, eigenvectors, and symmetric bilinear forms. The most basic algorithms of the subject will be treated: The Gauss elimination algorithm for finding the solution set to a system of linear equations and the Gram-Schmidt orthogonalization process. Applications to various fields including differential equations will be touched upon lightly.

Math 104 is similar to Math 107. The difference is one of emphasis. Math 107 was designed to fit the needs of engineering undergraduates. It has a greater emphasis on applications to differential equations. Math 104 has a somewhat greater emphasis on theory and proofs. Thus it serves as good preparation for perspective mathematics majors. Linear algebra is a prerequisite for many undergraduate mathematics courses.

Prerequisites:

Math 32, 32L, or 41.

Text:

Linear Algebra, by T. Shifren and M. Adams.

Grading:

Weekly homework 20%
First in class exam 20%
Second in class exam 20%
Final exam 40%

Further information:

Detailed information

Last modified Jan 5, 2005