Monson H. Hayes

Mar 04 Introduction - Systems of Linear Equations

Mar 06 Guassian Elimination and Gauss-Jordan Method

Mar 11 Vectors and Matrices

Mar 13 Matrix Inverse

Mar 18 Application: Temperature Equilibrium

Mar 20 Vectors, Norms and Inner Products

Mar 25 Orthogonality, Lines, Planes and Hyperplanes

Mar 27 Projections

Apr 01 Determinants

Apr 03 Cofactors

Apr 08 Vector Spaces and Subspaces

Apr 10 Linear Independence and Basis

Apr 15 Application: Introduction to Graph Theory

Apr 17 Midterm Summary and Review

Apr 22 Midterm Exam

Apr 29 The Four Fundamental Spaces

May 01 The Fundamental Theorem of Linear Algebra

May 06 **Holiday**

May 08 No Class

May 13 Lights Out

May 15 Matrix Transformations

May 20 Matrix Transformation Properties and Geometric Transformations in Image Processing

May 22 Eigenvalues and Eigenvectors

May 27 Complex Vector Spaces, Fibonacci Sequences, and the Golden Ratio

May 29 The Power Method and the Google Matrix

Jun 03 Markov Chains

Jun 05 Applications of Markov Chains: Medical Diagnosis and the Ehrenfest Model of Diffusion

Jun 10 Linear Algebra in a Nutshell - An End of the Semester Tour

Jun 17 Final Exam Formula Sheet

These notes are to be used only for this course and are not to be distributed or reused for any other purpose.