Week Date Topic Reading & Exercises Links
1 2016-01-05 Vector Spaces §1.A: 1, 10 & §1.B: 2, 3. Problem Set #0
2016-01-06 Subspaces §1.C: 4, 9, 10.
2016-01-08 Direct Sums & Spans §2.A: 4, 8, 12.
2 2016-01-12 Linear Independence §2.A: 11, 14. Problem Set #1
2016-01-13 Bases & Dimension §2.B: 3, 5, 7 & §2.C: 13, 16.
2016-01-15 Linear Maps §3.A: 2, 8, 11.
3 2016-01-19 Kernel & Image §3.B: 1, 12, 29. Problem Set #2
2016-01-20 Invertibility §3.D: 2, 7, 8, 11.
2016-01-22 Matrices §3.C: 4, 8, 12.
4 2016-01-26 Polynomials §4: 4, 7, 10. Problem Set #3
2016-01-27 Invariant Subspaces & Eigenvalues §5.A: 6, 9, 25.
2016-01-29 Upper-Triangular Matrices §5.B: 1, 6, 14, 15.
5 2016-02-02 Diagonal Matrices §5.C: 1, 9, 11. Problem Set #4
2016-02-03 Inner Products §6.A: 1, 2, 8, 15.
2016-02-05 Norms §6.A: 4, 5, 19.
6 2016-02-09 Orthonormal Bases §6.B: 2, 3, 6. Problem Set #5
2016-02-10 More Orthonormal Bases §6.B: 9 & §6C: 1, 3.
2016-02-10 MidTerm Time: 18:30-20:30
(6:30pm-8:30pm)		 Location: Etherington Hall Auditorium
2016-02-12 Projections §6.C: 5, 7, 11. Solutions
7 2016-02-16 Reading Week
2016-02-17 Reading Week
2016-02-19 Reading Week
8 2016-02-23 Dual Spaces §3.F: 1, 2 & §6.B: 17. Problem Set #6
2016-02-24 Adjoints §7.A: 1, 3, 4.
2016-02-26 Self-Adjoint Operators §7.A: 7, 9, 13.
9 2016-03-01 Spectral Theory §7.B: 2, 8, 15. Problem Set #7
2016-03-02 Normal Operators §9.B: 6, 7, 8.
2016-03-04 Positive Operators §7.C: 2, 4, 7.
10 2016-03-08 Isometries
2016-03-09 Polar Decomposition
2016-03-11 Singular Value Decomposition
11 2016-03-15 Generalized Eigenvectors
2016-03-16 Characteristic Polynomials
2016-03-18 Decomposition of an Operator
12 2016-03-22 Square Roots
2016-03-23 Minimal Polynomials
2016-03-25 Jordan Form
13 2016-03-29 More Jordan Form
2016-03-30 Operators on Real Vector Spaces
2016-04-01 Review
2016-04-?? Exam Time TBD Location TBD