Linear Algebra

Fall 2011

Week 1 (Aug 29 - Sep 2)

  • Geometric Vectors (Pyth,Fourier's)
  • Basics of Formal Logic (Truth Tables)
  • WILA/SSLE Solving Systems of Linear Equations
  • RREF Reduced Row-Echelon Form

Week 2 (Sep 5 - Sep 9) **Events Calendar**

  • Labor Day (No Class)
  • TSS Types of Solution Sets
  • HSE Homogeneous Systems of Equations
  • Add'l Content: IP, Projections

Week 3 (Sep 12 - Sep 16) **Events Calendar**

  • NM Nonsingular Matrices
  • VO Vector Operations
  • LC Linear Combinations
  • SS Spanning Sets

Week 4 (Sep 19 - Sep 23)

  • LI Linear Independence
  • Add'l Content: Induction / Review
  • Exam One
  • LDS Linear Dependence and Spans

Week 5 (Sep 26 - Sep 30)

  • O Orthogonality
  • MO Matrix Operations
    • Partitioned Matrices
  • MM Matrix Multiplication
  • MISLE Matrix Inverses and Systems of Linear Equations

Week 6 (Oct 3 - Oct 7)

  • MINM Matrix Inverses and Nonsingular Matrices
  • CRS Column and Row Spaces
  • FS Four Subsets
  • FS Four Subsets / Add'l Content Lin Regression 1

Week 7 (Oct 10 - Oct 14) **Events Calendar**

  • VS Vector Spaces
  • Review/ Add'l Cont. Lin Reg 2
  • Exam Two
  • S Subspaces

Week 8 (Oct 17 - Oct 21)

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

Week 9 (Oct 24 - Oct 28)

  • D Dimension
  • PD Properties of Dimension
  • Additional Content: Coyote -RoadRunner
  • DM Determinant of a Matrix

Week 10 (Oct 31 - Nov 4)

  • PDM Properties of Determinants of Matrices
  • EE Eigenvalues and Eigenvectors
  • PEE Properties of Eigenvalues and Eigenvectors
  • Add'l Cont. Fourier Series

Week11 (Nov 7 - Nov 11) **Events Calendar**

  • SD Similarity and Diagonalization
  • Review/Add'l Cont. Quantum Comp
  • Exam Three
  • LT Linear Transformations

Week 12 (Nov 14 - Nov 18) **Events Calendar**

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

Week 13 (Nov 21 - Nov 25)

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

Week 14 (Nov 28 - Dec 2)

  • MR Matrix Representations
  • Review
  • Exam Four
  • CB Change of Basis

Week 15 (Dec 5 - Dec 9)

  • CB Change of Basis
  • Summary
  • No Class (Reading Period)
  • No Class (Reading Period)

Notes

  1. 53 Class days
  2. Additional Topics: Generalized Pythagorean, Fourier's Trick, Rotations, Inner Products, Projections, Induction, Linear Regression 1, Linear Regression 2, Coyote-Roadrunner, Fourier Series, Quantum Computing