# Linear Algebra with Applications

 General Information Syllabus Homework Assignments Exam Related Class Material

## Syllabus

The following is a tentative syllabus for the course. It is based on the 3rd edition of Linear Algebra and its Applications by David C. Lay.
This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in the Textbook Brief Description
Day 1: September 22, Wednesday 1.1 Systems of Linear Equations
Day 2: September 24, Friday 1.2 Row Reduction and Echelon Forms
Day 3: September 27, Monday 1.3, 1.4 Vector Equations; The Matrix Equation Ax=b
Day 4: September 29, Wednesday 1.4, 1.5 Ax=b (cont.); Solution Sets of Linear Systems
Day 5: October 1, Friday 1.7 Linear Independence
Day 6: October 4, Monday 1.8 Introduction to Linear Transformations
October 5, Tuesday   Last day to add/drop
Day 7: October 6, Wednesday 1.9 The Matrix of a Linear Transformation
Day 8: October 8, Friday 2.1, 2.2 Matrix Operations; The Inverse of a Matrix
Day 9: October 11, Monday 2.2, 2.3 The Inverse of a Matrix (cont.); Characterizations of Invertible Matrices
Day 10: October 13, Wednesday 3.1 Introduction to Determinants
Day 11: October 15, Friday 3.2, 3.3 Properties of Determinants; Cramer's Rule, Volume, and Linear Transformations (briefly)
Day 12: October 18, Monday 4.1 Vector Spaces and Subspaces
October 19, Tuesday   First Midterm 6PM - 8PM
Day 13: October 20, Wednesday 4.2 Null Spaces, Column Spaces, and Linear Transformations
Day 14: October 22, Friday 4.3 Linearly Independent Sets; Bases
Day 15: October 25, Monday 4.4 Coordinate Systems
Day 16: October 27, Wednesday 4.4, 4.5 Coordinate Systems (cont.); The Dimension of a Vector Space
Day 17: October 29, Friday 4.5 The Dimension of a Vector Space (cont.)
Day 18: November 1, Monday 4.6 Rank
Day 19: November 3, Wednesday 5.1 Eigenvectors and Eigenvalues (skip Eigenvectors and Difference Equations)
Day 20: November 5, Friday 5.2 The Characteristic Equation (skip Application to Dynamical Systems)
Day 21: November 8, Monday 5.3 Diagonalization
November 9, Tuesday   Second Midterm 6PM - 8PM
Day 22: November 10, Wednesday 5.4 Eigenvectors and Linear Transformations
Day 23: November 12, Friday 5.4, 6.1 Eigenvectors and Linear Transformations (cont.); Inner Product, Length, and Orthogonality
November 12, Friday   Last day to drop
Day 24: November 15, Monday 6.1 Inner Product, Length, and Orthogonality (cont.)
Day 25: November 17, Wednesday 6.2 Orthogonal Sets
Day 26: November 19, Friday 6.2, 6.3 Orthogonal Sets (cont.); Orthogonal Projections
Day 27: November 22, Monday 6.3 Orthogonal Projections (cont.)
November 24 – November 28   Thanksgiving recess
Day 28: November 29, Monday 5.7 Applications of Linear Algebra to Differential Equations
Day 29: December 1, Wednesday Review etc.