Intro to Linear Algebra
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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: 12:30-1:45 TuTh on Zoom Office Hours: 1:45-2:30 after the lectures, and by appointment 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 lower-divison 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 | Lecture Notes |
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Homework 1 Solutions |
Thurs, Sept 3 |
Points vs. Vectors Lengths and Angles Three Vector Operations Handout: Rules of Vector Arithmetic HW1 Hints, Rules of Vector Arithmetic, Examples Lines in the Plane HW1 Discussion |
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Quiz1
Examples Solutions |
Tues, Sept 8 | 20 minutes at the beginning of class |
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Homework 2 Solutions |
Thurs, Sept 17 |
Planes in Space Two Lines in the Plane, Two Planes in Space Three Planes in Space HW2 Discussion, Small Determinants |
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Quiz2
Solutions |
Tues, Sept 22 | 20 minutes at the beginning of class |
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Homework 3 Solutions |
Thurs, Oct 1 |
Dimension Principle, 2 Equations in 4 Unknowns Introduction to RREF Gaussian Elimination for Computers HW2 Discussion, Orthogonal Subspaces |
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Quiz3
Solutions |
Tues, Oct 6 | 20 minutes at the beginning of class |
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Homework 4 Solutions |
Thurs, Oct 22 |
Matrix X Column Linear Functions, Matrix X Matrix Matrix Multiplication, Inverse Matrices Rules of Matrix Arithmetic, Computing Inverses HW4 Discussion Handout: Rules of Matrix Arithmetic |
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Quiz4
Solutions |
Tues, Oct 27 | 20 minutes at the beginning of class |
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Homework 5 Solutions |
Thurs, Nov 5 |
Introduction to Least Squares Projection onto a Subspace HW5 Discussion, Review HW5 Discussion, Four Fundamental Subspaces |
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Quiz5 Solutions |
Tues, Nov 10 | 20 minutes at the beginning of class |
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Homework 6 Solutions |
Thurs, Nov 19 |
Introduction to Diagonalization Eigenvalues and Eigenvectors More Eigenvalues and Eigenvectors HW6 Discussion, Grand Finale |
| Final Project | Tues, Dec 1 | Details to come |