Math 220 : Matrices

• Description : Matrices(2) Systems of linear equations, matrix algebra , eigenvalues and eigenvectors , linear systems of differential equations
• Prerequisites : Math 110 or Math 140
• Where : New location 310 GS
• When : New time : MW 4:10 - 5:50 pm
• Your instructor
• His office hours, teaching schedule, etc.
• Your Textbook
• Grading System
• Academic Integrity
• Inclement Weather : In the event of inclement weather we will follow the campus delay schedule.
• Resources on the Web :
  The Linear Algebra Toolkit: This is a link for basic matrix calculations. Shows step by step row operations and gives a tutorial on the method used.
  The Matrix Calculator: Performs various calculations on a given matrix.
  A simple solver for systems of linear equations (up to 20 equations)
• Topics and Assignment Questions and Due Dates
  

  Systems of Linear Equations (3 lectures)
  1.1	Introduction to Systems of Linear Equations
  1.2	Gaussian Elimination and Gauss-Jordan Elimination
  1.3	Applications of Systems of Linear equations	4,5,23,25,26,28
  Matrices (5 lectures)
  2.1	Operations with Matrices	4,6,14,28,36,62
  2.2	Properties of Matrix Operations	8,10,26,38,41,56,58
  2.3	The Inverse of a Matrix	10,12,14,26,31,34	Friday : Sept. 22
  2.4	Elementary Matrices	4,6,8,14,16,18,24,42	?
  2.5	Applications of Matrix Operations	4,5,11,16,19,38	?
  Determinants (5 lectures)
  3.1	The Determinant of a Matrix	4,10,12,20,22,55	?
  3.2	Evaluation of a Determinant Using Elementaty Operations	8,10,12,20,22,26	?
  3.3	Properties of Determinants	8,10,20,26,28,36	?
  3.4	Introduction to Eigenvalues	2,4,10,12,14,16	?
  3.5	Applications of Determinants	4,11,12,26,28,38,44	?
  Vector Spaces (7 lectures)
  4.1	Vectors in Rn	10,18,29,30,35,36,37,38	?
  4.2	Vector Spaces	13,15,17,19,21,23,29	?
  4.3	Subspaces of Vector Spaces	7,8,9,10,11,12,16,18	?
  4.4	Spanning Sets and Linear Independence	2,6,8,11,20,21,35,36,37,38,41,42	?
  4.5	Basis and Dimension	26,28,32,33,46,47	?
  4.6	Rank of a Matrix and Systems of Linear Equations	8,10,12,17,19,22	?
  4.7	Coordinates and Change of Basis	4,8,18,30	?
  Inner Product Spaces (4 lectures)
  5.1	Length and Dot Product in Rn	8,10,24,26,54,58,60,62,64	?
  5.2	Inner Product Spaces	2,4,6,8,10,12,22,24,26,30	?
  5.3	Orthogonal Bases : Gramm-Schmidt Process	3,4,17,18,19,24	?
  5.4	Mathematical Models and Least Square Analysis	12,16,22,30	?
  Eigenvalues and Eigenvectors (2 lectures)
  7.3	Symmetric Matrices and Orthogonal Diagonalization	22,24,25	?
  7.4	Applications of Eigenvalues and Eigenvectors	14,16,18,28,34	?