Week #1:
May 17 - 21
Row Reduction and Echelon Forms (1.2)
Vector Equations (1.3)
The Matrix Equation Ax = b (1.4)
Solution Sets of Linear Systems (1.5)
Applications of Linear Systems (1.6)
Week #2:
May 24 - 28
Introduction to Linear Transformations (1.8)
The Matrix of a Linear Transformation (1.9)
Matrix Operations (2.1)
Exam #1 will be given during the lecture hour on Thursday, May 27.
The Inverse of a Matrix (2.2)
Week #3:
June 1 - 4
Applications in Computer Graphics (2.7)
Subspaces of R^n (2.8)
Dimension and Rank (2.9)
Introduction to Determinants (3.1)
Week #4:
June 7 - 11
Eigenvectors and Eigenvalues (5.1)
The Characteristic Equation (5.2)
Exam #2 will be given during the lecture hour on Wednesday, June 9.
Diagonalization (5.3)
Complex Eigenvalues (5.5)
Discrete Dynamical Systems (5.6)
Week #5:
June 14 - 18
Inner Product, Length, and Orthogonality (6.1)
Orthogonal Sets (6.2)
Orthogonal Projections (6.3)
The Gram-Schmidt Process (6.4)
Least-Squares Problems (6.5)
Exam #3 will be given during the lecture hour on Friday, June 18.
Week #6:
June 21 - 25
Diagonalization of Symmetric Matrices (7.1)
Quadratic Forms (7.2)
Constrained Optimization (7.3)
The Singular Value Decomposition (7.4)
The Final Exam will be given during the lecture hour on Friday, June 25.