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Linear Algebra

The three midterm exams will be held in Walker during lecture hours
(closed book). All grading questions should go to your recitation instructor!

W	2/4	The Geometry of Linear Equations	1.1-2.1
F	2/6	Elimination, Matrix Operations	2.2, 2.4
M	2/9	Elimination Matrices and Matrix Inverses	2.3, 2.5
W	2/11	A = LU Factorization	2.6
F	2/13	Permutations, Dot Products, and Transposes	2.7
M	2/16	HOLIDAY (lecture on Tuesday)
T	2/17	Vector Spaces and Subspaces	3.1
W	2/18	The Nullspace: Solving Ax = 0	3.2
F	2/20	Solving Ax = b for nonsquare A, Row-reduced Echelon Form	3.3-3.4
M	2/23	Independence, Dimension, and Bases	3.5
W	2/25	The Four Fundamental Subspaces	3.6
F	2/27	Subspaces and Matrix Operations
M	3/2	Exam 1: Chapters 1 to 3.4
W	3/4	Graphs and Networks	8.2
F	3/6	Orthogonality and Subspaces (Add Date)	4.1
M	3/9	Projections	4.2
W	3/11	Least Squares Approximations	4.3
F	3/13	Orthonormal Bases, Gram-Schmidt, and A = QR	4.4
M	3/16	Fourier Series and Orthogonal Polynomials	8.5
W	3/18	Properties of Determinants	5.1
F	3/20	Formulas for Determinants; Jacobians	5.2-5.3
M-F	3/23-27	SPRING BREAK
M	3/30	Exam Review
W	4/1	Exam 2: Chapters 1-5, 8.2, 8.5
F	4/3	Eigenvalues and Eigenvectors	6.1
M	4/6	Similar Matrices, Diagonalization, and Powers of A	6.6, 6.2
W	4/8	Markov Matrices	8.3
F	4/10	Differential Equations	6.3
M	4/13	Symmetric Matrices	6.4
W	4/15	Positive Definite Matrices	6.5
F	4/17	Defective Matrices: Jordan Forms and Generalized Eigenvectors	6.6
M	4/20	HOLIDAY
W	4/22	Singular Value Decompositions	6.7
R	4/23	(Drop Date)
F	4/24	Matrices in Engineering	8.1
M	4/27	Linear Operators on Functions
W	4/29	Exam Review
F	5/1	Exam 3: Chapters 1-8 (8.1, 2, 3, 5)
M	5/4	Google PageRank; Principal Components Analysis
W	5/6	Sparse Matrices and Iterative Methods	9.3
F	5/8	Numerical Linear Algebra	9.1-9.2
M	5/11	Complex Matrices and FFTs	10.1-3
W	5/13	Course Review
M-F	5/18-22	Final Exams