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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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