MA 242
Linear Algebra
Section C
Fall 2009

Final exam, homework, and final course grades (via blackboard.bu.edu)
Syllabus (including office hours, phone numbers, etc.)
Class conduct
Email message about the homework, etc
Homework cover sheet
Homework assignments:
Handouts, demos, etc:
- September 3, 2009
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook for iterated function systems
- September 8, 2009
  - Notetaker helper (print out and bring to class)
  - Row operations calculator
  - Echelon form calculator
  - Numerous animations of row reduction including:
    - Animations of reducing systems to echelon form
    - Animations of solving systems by row reduction
    - Animations of back substitution
  - Mathematica notebook for reduced row echelon form (RREF)
- September 10, 2009
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook used in class
  - Two illustrations of the span of vectors
- September 15, 2009
  - Notetaker helper (print out and bring to class)
  - Matrix-vector product
- September 17, 2009
  - Notetaker helper (print out and bring to class)
- September 22, 2009
  - Notetaker helper (print out and bring to class)
- September 24, 2009
  - Notetaker helper (print out and bring to class)
  - Matrix Machine
  - Java applet to illustrate linear transformations of the plane
    Courtesy of David Austin, Grand Valley State University
  - Another java applet to illustrate linear transformations of the plane
    Also by David Austin, Grand Valley State University
  - Mathematica notebook to illustrate various linear transformations from R² to R²
- September 29, 2009
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook to illustrate the relationship between matrix multiplication and composition of linear transformations
  - Animation to illustrate the definition of matrix multiplication
- October 1, 2009
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook to illustrate the relationships among elementary matrices, row reduction, and matrix inverses
- October 8, 2009
  - Notetaker helper (print out and bring to class)
  - Mathematica notebook that illustrates the use of homogeneous coordinates in computer graphics
- October 15, 2009
  - Notetaker helper (print out and bring to class)
  - A formula for the determinant
- October 20, 2009
  - Notetaker helper (print out and bring to class)
- October 22, 2009
  - Notetaker helper (print out and bring to class)
  - Vector space of functions
  - Vector space of 2x3 matrices
  - Vector space of polynomials
- October 27, 2009
  - Notetaker helper (print out and bring to class)
- October 29, 2009
  - Notetaker helper (print out and bring to class)
- November 3, 2009
  - Notetaker helper (print out and bring to class)
  - Proof of the casting-out procedure
- November 5, 2009
  - Notetaker helper (print out and bring to class)
- November 12, 2009
  - Notetaker helper (print out and bring to class)
- November 17, 2009
  - Notetaker helper (print out and bring to class)
  - Animation of how a linear transformation transforms the plane
  - Eigen engine
  - How Google uses eigenvectors to rank pages on the web
- November 19, 2009
  - Notetaker helper (print out and bring to class)
  - Examples of characteristic polynomials
  - Geometry of diagonalization
- November 24, 2009
  - Notetaker helper (print out and bring to class)
  - Geometry of diagonalization
- December 1, 2009
  - Notetaker helper (print out and bring to class)
  - Illustration of orthogonal complement
- December 3, 2009
  - Notetaker helper (print out and bring to class)
- December 10, 2009
  - Notetaker helper (print out and bring to class)
- Answers to our exams:
  - Exam I
  - Exam II
  - Exam III
- Old exams
  - MA 242 exams given in 2007
  - MA 242 exams given in 2008