Math 22-Linear Algebra with Applications

Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the Homework Assignments page will always be accurate.

 Date Section(s) from Textbook Topic 3/28 1.1 Systems of Linear Equations 3/30 1.2 Row Reduction and Echelon Forms 4/2 1.3 Vector Equations 4/4 1.4, 1.5 The Matrix Equation Ax=b and Solution Sets of Linear Equations 4/6 1.6 Linear Independence 4/9 1.7 Intro to Linear Transformations 4/11 1.8 The Matrix of a Linear Transformation 4/13 2.1-2.2 Matrix Operations and the Inverse of a Matrix 4/16 2.3, 3.1-3.2 Characterizations of Invertible Matrices and Properties of Determinants 4/18 4.1 Introduction to Abstract Vector Spaces 4/19 MIDTERM 1 (Don't forget:  Abstract Vector Spaces will be covered on Midterm 2 and the final.) 4/20 4.2 Null Spaces, Column Spaces and Linear transformations 4/23 4.3 Linearly Independent Sets, Bases 4/25 4.4 Coordinate Systems 4/27 4.5 Dimension of a Vector Space 4/30 4.6 Rank 5/2 4.7 Change of basis 5/4 5.1 Eigenvalues and Eigenvectors 5/7 5.2 Characteristic Equation 5/9 5.3 Diagonalization 5/10 MIDTERM 2 (Bonus: Application 1-Computer Graphics) 5/11 5.4 Eigenvectors and Linear Transformations 5/14 6.1 Inner Product, Length and Orthogonality 5/16 6.2 Orthogonal Sets 5/17 6.3-6.3 Orthogonal Projections/Gram-Scmidt Process 5/21 hand-out Application 2: Markov chains 5/23 hand-out Application 3: Geographic interpretation of eigenvalues 5/25 hand-out Application 4: Wavelets 5/30 in-class notes Application 5: Least Squares 6/2 In-class Final Exam Cumulative - the final will cover all topics listed above except for the geographic interpretation of eigenvalues.