Math 2890-003
Spring 2016
Calendar
This schedule is (of course) tenative.
The Final Exam will be given on Thursday, May 5 at 10:15am.
- Week 1 (Jan 12 & Jan 14)
- 1.1 Systems of Linear Equations
- 1.2 Row Reduction and Echelon Form
- 1.3 Vector Equations
- Week 2 (Jan 19 & Jan 21)
- 1.4 The Matrix Equations Ax=b
- 1.5 Solution Sets of Linear Equations
- 1.7 Linear Independence
- Week 3 (Jan 26 & Jan 28)
- 1.8 Linear Transformations
- 2.1 Matrix Operations
- 2.2 Inverse of a Matrix
- Week 4 (Feb 2 & Feb 4)
- 2.3 Characterizations of Invertible Matrices
- 2.4 Partitioned Matrices
- 2.5 Matrix Factorizations
- Week 5 (Feb 9 & Feb 11)
- Wedderburn Rank Reduction (LU)
- 2.8 Subspaces of R^n
- 2.9 Dimension and Rank
- Week 6 (Feb 16 & Feb 18)
- 6.1 Inner Product, Length and Orthogonality
- Exam 1 (Sections 1.1 - 2.9)
- Week 7 (Feb 23 & Feb 25)
- 6.2 Orthogonal Sets
- 6.3 Orthogonal Projections
- 6.4 Gram-Schmidt Process
- Wedderburn Rank Reduction (QR)
- Week 8 (Mar 1 & Mar 3)
- 6.5 Least Squares Problems
- 6.6 Applications to Linear Models
Spring Break (Mar 8 & Mar 10)- Week 9 (Mar 15 & Mar 17)
- 3.1 Introduction to Determinants
- 3.2 Properties of Determinants
- 3.3 Cramer's Rule, Voume, Linear Transformations
- Week 10 (Mar 22 & Mar 24)
- 4.8 Difference Equations
- 4.9 Markov Chains
- Week 11 (Mar 29 & Mar 31)
- 5.1 Eigenvectors and Eigenvalues
- 5.2 The Characteristic Equation
- 5.3 Diagonalization
- Week 12 (Apr 5 & Apr 7)
- Schur Decomposition
- Exam 2 (Sections 3.1 - 5.2; 6.1 - 6.6)
- Week 13 (Apr 12 & Apr 14)
- 5.4 Complex Eigenvalues
- 5.6 Discrete Dynamical Systems
- 5.7 Applications to Differential Equations
- Week 14 (Apr 19 & Apr 21)
- 5.8 Iterative Estimates for Eigenvalues
- 7.1 Diagonalization of Symmetric Matrices
- Week 15 (Apr 26 & Apr 28)
- 7.2 Quadratic Forms
- 7.3 Constrained Optimization
- 7.4 The Singular Value Decomposition
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