Textbook: There is no textbook. I will post all lecture notes on this webpage. For supplementary reading I recommend Gilbert Strang's Introduction to Linear Algebra (any edition).
Lecture: 10:0511:30 MTuWThF on Zoom
Office Hours: 11:3012:30 MTuWTh on Zoom
Here is the course syllabus.
Here is an article by Alan Tucker (1993) on The Growing Importance of Linear Algebra in Undergraduate Mathematics. Quote: This author is personally a bit frustrated that calculus gets all of the first year
and half of the second year of the lowerdivison core mathematics sequence.
Hopefully early in the next century, there will be a 'redistricting' of the lower
division mathematics sequence and linear algebra will get equal time with calculus.

Item 
Date 
Information 
Homework 1
Solutions

Fri, May 22

Points vs. Vectors
Vector Arithmetic, Pythagorean Theorem
Lots of Examples
Vector Space Concept, Introduction to Linear Equations
HW1 Discussion, Lines and Hyperplanes

Quiz1
Example
Solutions

Tues, May 26

20 minutes at the beginning of class

Homework 2
Solutions

Fri, May 29

Two or Three Lines in 2D, Two Planes in 3D
The Idea of Elimination, Two or Three Planes in 3D
Independence and Dimension, 2 Equations in 4 Unknowns
HW2 Discussion, Determinant of a 2X2 Matrix

Quiz2
Solutions

Mon, Jun 1

20 minutes at the beginning of class

Homework 3
Solutions

Fri, June 5

Some Technical Definitions, Gaussian Elimination
Gaussian Elimination on a Computer, Interpreting the RREF
Review of RREF, Definition of Ax=b
Fundamental Theorem of Linear Algebra
HW3 Discussion, FTLA Discussion

Quiz3
Solutions

Mon, Jun 8

20 minutes at the beginning of class

Homework 4
Solutions

Fri, June 12

Matrices = Linear Functions
Matrix Multiplication = Composition of Linear Functions
Matrices in Calculus, Matrix Arithmetic
Invertibility of Functions and Matrices
HW4 Discussion, Orthogonal Matrices

Quiz4
Solutions

Mon, Jun 8

20 minutes at the beginning of class

Homework 5
Solutions

Mon, June 22

Least Squares Approximation
Projection Onto a Subspace
Review of Projection, Introduction to Diagonalization
Computation of Eigenvalues and Eigenvectors
Linear Systems of Recurrence and Differential Equations
HW5 Discussion, NonOrthogonal Projections

Quiz5
Solutions

Tues, June 23

20 minutes at the beginning of class

Discussion and Review


Why do we call it Diagonalization?
Complex Numbers, Spectral Theorem, Singular Value Decomposition ...

Final Project

Fri, June 26

Write a summary of what you learned in the course.
Minimum 2 pages, Maximum 10 pages
