Math 2890-001

Fall 2017

Calendar

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This schedule is (of course) tenative.

The Final Exam will be given on Monday, December 11 at 10:15am.

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Week 1 (Aug 28, Aug 30, & Sep 1)

Orientation

1.1 Systems of Linear Equations

1.2 Row Reduction and Echelon Form

Week 2 (Sep 4, Sep 6, & Sep 8)

Labor Day

1.3 Vector Equations

1.4 The Matrix Equations Ax=b

Week 3 (Sep 11, Sep 13, & Sep 15)

1.5 Solution Sets of Linear Equations

1.7 Linear Independence

1.8 Linear Transformations

Week 4 (Sep 18, Sep 20, & Sep 22)

2.1 Matrix Operations

2.2 Inverse of a Matrix

2.3 Characterizations of Invertible Matrices

Week 5 (Sep 25, Sep 27, & Sep 29)

2.4 Partitioned Matrices

2.5 Matrix Factorizations

Wedderburn Rank Reduction (LU factorization)

Week 6 (Oct 2, Oct 4, & Oct 6)

Exam 1 (Sections 1.1 - 2.4)

2.8 Subspaces of $\mathbb{R}^n$

2.9 Dimension and Rank

Week 7 (Oct 9, Oct 11, & Oct 13)

6.1 Inner Product, Length and Orthogonality

6.2 Orthogonal Sets

6.3 Orthogonal Projections

Week 8 (Oct 16, Oct 18, & Oct 20)

Fall Break

6.4 Gram-Schmidt Process

Wedderburn Rank Reduction (QR factorization)

Week 9 (Oct 23, Oct 25, & Oct 27)

6.5 Least Squares Problems

6.6 Applications to Linear Models

4.9 Markov Chains

Week 10 (Oct 30, Nov 1, & Nov 3)

Google's Page Rank Algorithm

Exam 2 (Sections 2.5 - 2.9; 6.1 - 6.6)

5.1 Eigenvectors and Eigenvalues

Week 11 (Nov 6, Nov 8, & Nov 10)

5.2 The Characteristic Equation

5.3 Diagonalization

5.4 Complex Eigenvalues

Week 12 (Nov 13, Nov 15, & Nov 17)

5.6 Discrete Dynamical Systems

5.7 Applications to Differential Equations

5.8 Iterative Estimates for Eigenvalues

Week 13 (Nov 20, Nov 22, & Nov 24)

Schur Decomposition

Thanksgiving

Break

Week 14 (Nov 27, Nov 29, & Dec 1)

7.1 Diagonalization of Symmetric Matrices

7.2 Quadratic Forms

Exam 3 (Sections 4.9 - 5.8)

Week 15 (Dec 4, Dec 6, & Dec 8)

7.3 Constrained Optimization

7.4 The Singular Value Decomposition

Review

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