Linear Algebra

Fall 2010

Week 1 (Aug 30 - Sep 3)

  • Basics of Formal Logic (Truth Tables)
  • WILA/SSLE Solving Systems of Linear Equations
  • RREF Reduced Row-Echelon Form
  • TSS Types of Solution Sets

Week 2 (Sep 6 - Sep 10) **Events Calendar**

  • Labor Day (No Class)
  • HSE Homogeneous Systems of Equations
  • Additional Content: Coyote-Roadrunner
  • NM Nonsingular Matrices

Week 3 (Sep 13 - Sep 17) **Events Calendar**

  • VO Vector Operations
  • LC Linear Combinations
  • SS Spanning Sets
  • LI Linear Independence

Week 4 (Sep 20 - Sep 24)

  • LDS Linear Dependence and Spans
  • Additional Content: Induction / Review
  • Exam One
  • O Orthogonality

Week 5 (Sep 27 - Oct 1)

  • MO Matrix Operations
  • MM Matrix Multiplication
  • Additional Content: Partitioned Matrices
  • MISLE Matrix Inverses and Systems of Linear Equations

Week 6 (Oct 4 - Oct 8)

  • MINM Matrix Inverses and Nonsingular Matrices
  • CRS Column and Row Spaces
  • FS Four Subsets
  • FS Four Subsets / Additional Content

Week 7 (Oct 11 - Oct 15) **Events Calendar**

  • VS Vector Spaces
  • Additional Content (C) /Review
  • Exam Two
  • S Subspaces

Week 8 (Oct 18 - Oct 22)

  • Fall Break
  • Fall Break
  • LISS Linear Independence and Spanning Sets
  • B Bases

Week 9 (Oct 25 - Oct 29)

  • D Dimension
  • PD Properties of Dimension
  • Additional Content: geometric Vectors 1
  • DM Determinant of a Matrix

Week 10 (Nov 1 - Nov 5)

  • PDM Properties of Determinants of Matrices
  • EE Eigenvalues and Eigenvectors
  • Additional Content: Geometric Vectors 2
  • PEE Properties of Eigenvalues and Eigenvectors

Week11 (Nov 8 - Nov 12) **Events Calendar**

  • SD Similarity and Diagonalization
  • Additional Content (permutations)/Review
  • Exam Three
  • LT Linear Transformations

Week 12 (Nov 15 - Nov 19) **Events Calendar**

  • ILT Injective Linear Transformations
  • SLT Surjective Linear Transformations
  • Additional Content: Fourier Analysis
  • IVLT Invertible Linear Transformations

Week 13 (Nov 22 - Nov 26)

  • VR Vector Representations
  • MR Matrix Representations
  • Thanksgiving
  • Thanksgiving

Week 14 (Nov 29 - Dec 3)

  • MR Matrix Representations
  • Additional Content: Regression/Review
  • Exam Four
  • CB Change of Basis

Week 15 (Dec 6 - Dec 10)

  • CB Change of Basis
  • Additional Content
  • No Class (Reading Period)
  • No Class (Reading Period)

Notes

  1. 53 Class days
  2. Additional Topics: Coyote-Roadrunner, Complex numbers, Induction, Block Matrices, Geometric vectors (scaling, rotations, x-perp and x-parallel; reflections, shears, orthogonal projections; rotations plus scaling), Fourier Analysis, Linear Regression, Determinants and permutations