Math 2890-001
Spring 2018
Calendar
This schedule is (of course) tenative.
The Final Exam will be given on Wednesday, May 02 at 10:15am.
- Week 1 (Jan 15, Jan 17, & Jan 19)
- MLK Day
- 1.1 Systems of Linear Equations
- 1.2 Row Reduction and Echelon Form
- Week 2 (Jan 22, Jan 24, & Jan 26)
- 1.3 Vector Equations
- 1.4 The Matrix Equations Ax=b
- 1.5 Solution Sets of Linear Equations
- Week 3 (Jan 29, Jan 31, & Feb 02)
- 1.7 Linear Independence
- 1.8 Linear Transformations
- 2.1 Matrix Operations
- Week 4 (Feb 05, Feb 07, & Feb 09)
- 2.2 Inverse of a Matrix
- 2.3 Characterizations of Invertible Matrices
- 2.4 Partitioned Matrices
- Week 5 (Feb 12, Feb 14, & Feb 16)
- 2.5 Matrix Factorizations
- Wedderburn Rank Reduction (LU factorization)
- Review
- Week 6 (Feb 19, Feb 21, & Feb 23)
- First Exam (Sections 1.1 - 2.4)
- 2.8 Subspaces of $\mathbb{R}^n$
- 2.9 Dimension and Rank
- Week 7 (Feb 26, Feb 28, & Mar 02)
- 6.1 Inner Product, Length and Orthogonality
- 6.2 Orthogonal Sets
- 6.3 Orthogonal Projections
- Week 8 (Mar 05, Mar 07, & Mar 09)
- Spring Break
- Week 9 (Mar 12, Mar 14, & Mar 16)
- 6.4 Gram-Schmidt Process
- Wedderburn Rank Reduction (QR factorization)
- 6.5 Least Squares Problems
- Week 10 (Mar 19, Mar 21, & Mar 23)
- 6.6 Applications to Linear Models
- 4.9 Markov Chains
- Review
- Week 11 (Mar 26, Mar 28, & Mar 30)
- Second Exam (Sections 2.5, 2.8, 2.9; 6.1 - 6.6; Wedderburn Rank Reduction)
- Google's Page Rank Algorithm
- 5.1 Eigenvectors and Eigenvalues
- Week 12 (Apr 02, Apr 04, & Apr 06)
- 5.2 The Characteristic Equation
- 5.3 Diagonalization
- 5.4 Complex Eigenvalues
- Week 13 (Apr 09, Apr 11, & Apr 13)
- 5.6 Discrete Dynamical Systems
- 5.7 Applications to Differential Equations
- 5.8 Iterative Estimates for Eigenvalues
- Week 14 (Apr 16, Apr 18, & Apr 20)
- Schur Decomposition
- 7.1 Diagonalization of Symmetric Matrices
- 7.2 Quadratic Forms
- Week 15 (Apr 23, Apr 25, & Apr 27)
- 7.3 Constrained Optimization
- 7.4 The Singular Value Decomposition
- Review
- Finals Week (Apr 30 -- May 4)
- Office Hours: Monday 11:30am - 1:30pm
- Final Exam (Sections 4.9, 5.1 - 5.8, 7.1 - 7.4)
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