This is a tentative syllabus and it is likely to change as the course progresses.
Date | Reading - sections in textbook | Homework |
Aug. 24, 26 | 1st Course in Linear Algebra.
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Homework 1 due 8/31 in class |
Aug. 29, 31, Sept 2 | Vector Spaces. Quiz 1. sec. 1.A-1.C |
Homework 2 due 9/7 in class |
Sept. 5,7,9 | Span, Linear Independence, and Bases. sec. 2.A-2.B |
Homework 3 due 9/14 in class |
Sept. 12,14,16 | Dimension and Linear Maps.
Quiz 2. sec. 2.C-3.A |
Homework 4 due 9/21 in class |
Sept. 19,21,23 | Null Spaces and Matrices. Midterm 1. sec. 3.B-3.C |
Homework 5 due 9/28 in class |
Sept. 26,28,30 | Invertiblity, Products, and Quotients.
sec. 3.D-3.E |
Homework 6 due 10/5 in class |
Oct. 3,5,7 | Duality and Polynomials. Quiz 3. sec. 3.F-4 |
Homework 7 due 10/12 in class |
Oct. 10,12,14 | Invariant Subspaces. sec. 5.A |
Homework 8 due 10/26 in class |
Oct. 17,19,21 | Fall break. | |
Oct. 24,26,28 | Eigenvectors. Quiz 4. sec. 5.B |
Homework 9 due 11/2 in class |
Oct. 31, Nov. 2,4 | Eigenspaces and Diagonal Matrices. Midterm 2. sec. 5.C |
Homework 10 due 11/9 in class |
Nov. 7,9,11 | Inner products and orthonormal bases. sec. 6.A-6.B |
Homework 11 due 11/16 in class |
Nov. 14,16,18 | Orthogonal Complements and Self-Adjoint operators. Quiz 5. sec. 6.C-7.A |
Homework 11 due 11/28 in class (note this is a Monday) |
Nov. 21, (23,25) | Spectral Theorem. Thanksgiving (no
class on 23rd or 25th). sec. 7.B |
Homework 12 due 12/5 (*note this is a Monday) in class |
Nov. 28, 30, Dec. 2 | Positive Operators and Isometries. Quiz 6. sec. 7.C |
Homework 13 due 12/5 in class |
Dec. 5, 7 | Singular Value Decomposition. sec. 7.D |
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