Math 250   Syllabus and General Information   Fall 2017


Lecture   Date                                        Section Covered
1  09/07 1.1, 1.2 Matrices and Vectors
2  09/11 1.3 Systems of Linear Equations
3  09/14 1.4 Gaussian Elimination
4  09/18 1.6 Span of a Set of Vectors
5  09/21 1.7 Linear Dependence and Linear Independence
6   09/25 1.7, 2.1 Homogeneous Systems, Matrix Multiplication
7   09/28 2.1 Matrix Algebra; Quiz 1
8  10/02 2.3, Appendix E  Invertibility and Elementary Matrices, Uniqueness of RREF
9  10/05 2.4  Inverse of a Matrix
10  10/09 2.6  LU Decomposition of a Matrix; Review for the exam
11  10/12 Midterm Exam 1
12  10/16 3.1 Determinants; Cofactor Expansions
13  10/19 3.2 Properties of Determinants
14   10/23 4.1 Subspaces
15   10/26 4.2 Basis and Dimension
16   10/30 4.3 Column Space and Null Space of a Matrix
17   11/02 5.1 Eigenvalues and Eigenvectors; Quiz 2
18   11/06  5.2 Characteristic Polynomial
19  11/09 5.3 Diagonalization of a Matrix
20  11/13 5.5 Applications of Eigenvalues; Review for the exam
21  11/16 Midterm Exam 2
22  11/20  6.1 Geometry of Vectors; Projection onto a Line
23  11/21 6.2 Orthogonal Sets of Vectors; Gram - Schmidt Process; QR factorization
24  11/27 6.3 Orthogonal Projection; Othogonal Complements 
25  11/30 6.4 , 6.5 Least Squares,  Normal Equations, Orthogonal Matrices
26  12/04 6.6 Diagonalization of Symmetric Matrices
27  12/07 6.6 Spectral Decomposition for Symmetric Matrices, Diagonalization of Quadratic Forms
28  12/11 Review for the Final Exam