Catalog Description: An introduction to the theory and use of vectors and matrices. Matrix theory including systems of linear equations. Theory of Euclidean and abstract vector spaces. Eigenvalues and eigenvectors. Linear tranformations. May not be taken for credit in addition to MAT 211.
Prerequisites: AMS 151 or MAT 131 or 141 or corequisite MAT 126.
3 credits
Text: A Unified Introduction to Linear Algebra, by Alan Tucker, Stony Brook offset printing
ISBN# 9785000000700
AMS 210 IS ALSO OFFERED DURING SUMMER SCHOOL. CHECK THE SUMMER SCHOOL BULLETIN FOR TIMES.
Topics
1. Introductory Models (Chap. 1) – 4 class hours
2. Matrices: matrix operations, matrix algebra, matrix norms, eigenvalues and eigenvectors (Chap. 2) – 9 class hours
3. Solving Systems of Linear Equations: Gaussian elimination, inverses, determinants, iterative methods, condition numbers and related numerical analysis (Chap. 3) – 10 class hours
4. Applications: regression, Markov chains, growth models (Chap. 4) – 6 class hours
5. Theory of Systems of Linear Equations: linear independence, bases, rank, null space and range, orthogonal basses, pseudoinverse (Chap. 5) – 8 class hours
6. Examinations and Review – 5 class hours.