Linear Algebra

Spring 2010



Week 1: Jan 18 - Jan 22

  • NO CLASS: MLK Day
  • Logic/Sets/Proofs
  • Proofs / WILA What is Linear Algebra?
  • Additional Content

Week 2: Jan 25 - Jan29

  • SSLE Solving Systems of Linear Equations
  • RREF Reduced Row-Echelon Form
  • TSS Types of Solution Sets
  • HSE Homogeneous Systems of Equations

Week 3: Feb 1 - Feb 5

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

Week 4: Feb 8 - Feb 12

  • LI Linear Independence
  • Additional Content/Review
  • Exam One
  • LDS Linear Dependence and Spans

Week 5: Feb 15 - Feb 19

  • O Orthogonality
  • MO Matrix Operations
  • MM Matrix Multiplication
  • Additional Content

Week 6: Feb 22 - Feb 26

  • MISLE Matrix Inverses and Systems of Linear Equations
  • MINM Matrix Inverses and Nonsingular Matrices
  • CRS Column and Row Spaces
  • Additional Content

Week 7: Mar 1 - Mar 5

  • FS Four Subsets
  • Additional Content/Review
  • Exam Two
  • VS Vector Spaces

Week 8 : Mar 8 - Mar 12

  • S Subspaces
  • LISS Linear Independence and Spanning Sets
  • B Bases
  • Additional Content

Week 9: Mar 22 - Mar 26

  • D Dimension
  • PD Properties of Dimension
  • DM Determinant of a Matrix
  • Additional Content

Week 10: Mar 29 - Apr 2

  • PDM Properties of Determinants of Matrices
  • EE Eigenvalues and Eigenvectors
  • PEE Properties of Eigenvalues and Eigenvectors
  • Additional Content

Week11: Apr 5 - Apr 9 (Registration Week)

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

Week 12: Apr 12 - Apr 16

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

Week 13: Apr 19 - Apr 23

  • VR Vector Representations
  • MR Matrix Representations
  • MR Matrix Representations
  • Additional Content

Week 14: Apr 26 - Apr 30

  • CB Change of Basis
  • Additional Content/Review
  • Exam Four
  • CB Change of Basis

Week 15: May 3 - May 7

  • Additional Content
  • Additional Content
  • No Class (Reading Period)
  • No Class (Reading Period)

Notes

  1. 57 class days