Linear Algebra

Spring 2013



Week 1: Jan 21 - Jan 25

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

Week 2: Jan 28 - Feb 1

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

Week 3: Feb 4 - Feb 8

  • HSE Homogeneous Systems of Equations
  • NM Nonsingular Matrices
  • VO Vector Operations
  • LC Linear Combinations

Week 4: Feb 11 - Feb 15

  • SS Spanning Sets
  • Additional Content/Review
  • Exam One
  • LI Linear Independence

Week 5: Feb 18 - Feb 22

  • LDS Linear Dependence and Spans
  • O Orthogonality
  • MO Matrix Operations
  • Additional Content

Week 6: Feb 25 - Mar 1

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

Week 7: Mar 4 - Mar 8

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

Week 8 : Mar 11 - Mar 15

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

Week 9: Mar 25 - Mar 29

  • D Dimension
  • PD Properties of Dimension
  • DM Determinant of a Matrix
  • PDM Properties of Determinants of Matrices

Week 10: Apr 1-Apr 5

  • EE Eigenvalues and Eigenvectors
  • PEE Properties of Eigenvalues and Eigenvectors
  • SD Similarity and Diagonalization
  • Additional Content

Week11: Apr 8 - Apr 12 (Registration Week)

  • LT Linear Transformations
  • Additional Content/Review
  • Exam Three
  • ILT Injective Linear Transformations

Week 12: Apr 15 - Apr 19

  • SLT Surjective Linear Transformations
  • IVLT Invertible Linear Transformations
  • VR Vector Representations
  • Additional Content

Week 13: Apr 22 - Apr 26

  • MR Matrix Representations
  • MR Matrix Representations
  • CB Change of Basis
  • Additional Content

Week 14: Apr 29 - May 3

  • CB Change of Basis
  • Additional Content/Review
  • Exam Four
  • OD Orthonormal Diagonalization

Week 15: May 6 - May 10

  • OD Orthonormal Diagonalization
  • Additional Content
  • No Class (Reading Period)
  • No Class (Reading Period)

Notes

  1. 57 class days