COURSE SYLLABUS

Course Number: MATH6370
Course Title: LINEAR ALGEBRA
Credit Hours: 3
Prerequisites: MATH2660
Corequisite: 

Objectives: 
This course is a mathematically rigorous, proof--theorem presentation of topics beyond that ordinarily found in a first course on linear algebra.

Course Content (typical):
Development of the properties of a finite dimensional vector space from the axiomatic definition, up through the basic results on basis and dimension. Results on linear mappings, including matrix representation, and the dimension theorem. (15 days)

Development of the properties of inner product spaces over the real and complex field, including orthogonal decomposition as well as Hermitian and normal operators and their spectral properties. (10 days)

Discussion of the classical canonical forms, including the Jordan Form and the rational form. May include the Smith form. (15 days)

Possible textbooks:
Linear Algebra, Serge Lang, Springer Verlag, 1989.
Linear Algebra, 3rd ed., Stephen Friedberg, Arnold Insel, Lawrence Spence, Prentice Hall 1997.

Grading and Evaluation Procedures:
Quizzes, tests, final exam, as well as graded homework, and class presentations at the instructors discretion.

Statement related to policies on unannounced quizzes and class attendance and participation:
Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.