Math 2890-003

Fall 2016

Calendar

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This schedule is (of course) tenative. There is also a pdf version of the schedule.

The Final Exam will be given on Friday, December 16 at 12:30pm.

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Week 1 (Aug 23 & Aug 25)

1.1 Systems of Linear Equations

1.2 Row Reduction and Echelon Form

1.3 Vector Equations

Week 2 (Aug 30 & Sep 1)

1.4 The Matrix Equations Ax=b

1.5 Solution Sets of Linear Equations

1.7 Linear Independence

Week 3 (Sep 6 & Sep 8)

1.8 Linear Transformations

2.1 Matrix Operations

2.2 Inverse of a Matrix

Week 4 (Sep 13 & Sep 15)

2.3 Characterizations of Invertible Matrices

2.4 Partitioned Matrices

2.5 Matrix Factorizations

Week 5 (Sep 20 & Sep 22)

Wedderburn Rank Reduction (LU)

2.8 Subspaces of R^n

2.9 Dimension and Rank

Week 6 (Sep 27 & Sep 29)

6.1 Inner Product, Length and Orthogonality

Exam 1 (Sections 1.1 - 2.9)

Week 7 (Oct 4 & Oct 6)

Fall Break

6.2 Orthogonal Sets

6.3 Orthogonal Projections

Week 8 (Oct 11 & Oct 13)

6.4 Gram-Schmidt Process

Wedderburn Rank Reduction (QR)

6.5 Least Squares Problems

Week 9 (Oct 18 & Oct 20)

6.6 Applications to Linear Models

3.1 Introduction to Determinants

3.2 Properties of Determinants

Week 10 (Oct 25 & Oct 27)

3.3 Cramer's Rule, Voume, Linear Transformations

4.8 Difference Equations

4.9 Markov Chains

Week 11 (Nov 1 & Nov 3)

5.1 Eigenvectors and Eigenvalues

5.2 The Characteristic Equation

5.3 Diagonalization

Week 12 (Nov 8 & Nov 10)

5.4 Complex Eigenvalues

Exam 2 (Sections 3.1 - 5.2; 6.1 - 6.6)

Week 13 (Nov 15 & Nov 17)

Schur Decomposition

5.6 Discrete Dynamical Systems

5.7 Applications to Differential Equations

Week 14 (Nov 22 & Nov 24)

5.8 Iterative Estimates for Eigenvalues

Thanksgiving

Week 15 (Nov 29 & Dec 1)

7.1 Diagonalization of Symmetric Matrices

7.2 Quadratic Forms

7.3 Constrained Optimization

Week 16 (Dec 6 & Dec 8)

7.4 The Singular Value Decomposition

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Back to syllabus or home page.

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