TEXT: G. Strang, Introduction to Linear Algebra, 4th Ed., ISBN 0980232716.

COURSE DESCRIPTION:

Many systems studied in science and engineering involve a linear relationship among several variables. Matrices offer the mathematical language to describe and analyze such systems.

PREREQUISITES: Calculus II (MAT152 or permission of instructor).

TOPICS:

1. Matrices and Systems of Equations (Ch. 1, 2)
   • Systems of Linear Equations
   • Gaussian Elimination
   • Matrix Algebra
2. Vector Spaces (Ch. 3)
   • Linear Independence
   • Basis and Dimension
3. Orthogonality (Ch. 4)
   • Least Squares
   • Gram-Schmidt Orthogonalization
4. Determinants (Ch. 5)
   • Properties of Determinants
   • Cramer's Rule
5. Eigenvalues and Eigenvectors (Ch. 6)
   • Diagonalization
   • SVD
6. Linear Transformations (Ch. 7)
   • Matrix Representations of Linear Transformations
7. Applications (Ch. 8)
   • Graphs and Networks
   • Fourier Analysis
8. Numerical Linear Algebra (Ch. 9)
9. Complex Vectors and Matrices (Ch. 10)
   • Herminitan and Unitary Matrices

OFFICE HOURS: T 6-7 PM, W 6:00-6:30PM, R 2-4PM, 6:00-6:30PM

GRADES:

Test (Sept. 16) Test (Oct. 21) Test (Nov. 18) Final (cumulative)

30 points 30 points 30 points 40 points

A+ >= 97 pts A = 93,...,96 pts A- = 90,...,92 pts etc.

The lowest test score will be dropped.