MATH 250 | Introductory Linear Algebra | Spring 2003 |
Section 01 | Mon/Wed 4th Period | Scott 203 |
G. Cherlin | cherlin@math.rutgers.edu | Office Hours |
Hill Center, Room 244 | 445-5921 | Mon, Fri 10-11 AM |
TEXT:
Spence, Insel,and Friedberg:
Elementary Linear Algebra: A Matrix
Approach,
Prentice Hall
Topics | Sections | |||
Matrices and Vectors | 1.1, 1.2 | |||
Systems of Linear Equations | 1.3 | |||
Gaussian Elimination | 1.4 td> | |||
Span of a Set of Vectors | 1.6 | |||
Linear Dependence and Linear Independence | 1.7 | |||
Matrix Multiplication | 2.1 | |||
Applications of Matrix Multiplication | 2.2 | |||
Invertibility and Elementary Matrices | 2.3 | |||
Inverse of a Matrix | 2.4 | |||
LU Decomposition of a Matrix | 2.5 | |||
Determinants; Cofactor Expansions | 3.1 | |||
Exam #1 - In Class | 1.1-1.7, 2.1-2.5 | |||
Properties of Determinants | 3.2 | |||
Subspaces | 4.1 | |||
Basis and Dimension | 4.2 | |||
Column Space and Null Space of a Matrix | 4.3 | |||
Eigenvalues and Eigenvectors | 5.1 | |||
Characteristic Polynomial | 5.2 | |||
Diagonalization of Matrices | 5.3 | |||
Applications of Eigenvalues | 5.5 | |||
Geometry of Vectors | 6.1 | |||
Exam #2 - In Class | 3.1-3.2, 4.1-4.3, 5.1-5.5, 6.1 | |||
Orthogonal Vectors; Gram-Schmidt Process | 6.2 | |||
Orthogonal Projection | 6.2 | |||
Least-Squares | 6.3 | |||
Orthogonal Matrices | 6.4 | |||
Symmetric Matrices andQuadratic Forms | 6.5 | |||
Review | 6.1 - 6.5 | |||
Final Exam: NOON-3PM, Scott 203 | Cumulative |