Intro to Linear Algebra
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Textbook: Here are the Online Course Notes. For supplementary reading I recommend Gilert Strang's Introduction to Linear Algebra (any edition).
Office Hours: Tuesdays 3:30-4:30 and Wednesdays 2:00-3:00 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 | Information |
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Homework 1 Solutions in online notes |
Thurs, Aug 29 |
Cartesian Coordinates Points vs. Directed Line Segments The Pythagorean Theorem The Dot Product Concept of Euclidean Space Vector Arithmetic |
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Homework 2 Old Solutions Animation of 3.2 Animation of 3.3 |
Thurs, Sept 12 |
Old Handwritten Notes Systems of Equations Dimension of the Solution Systems of Linear Equations Lines and Hyperplanes |
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Homework 3 Old Solutions |
Thurs, Sept 26 |
Old Handwritten Notes Row and Column Pictures of a Linear System The Idea of Elimination Elementary Row Operations RREF |
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Exam 1 Practice Exam Solutions | Thurs, Oct 3 | |
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Homework 4 Solutions |
Tues, Oct 15 |
Old Handwritten Notes Matrix Multiplication Matrices as Functions Matrix Inversion The Fundamental Theorem |
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Homework 5 Solutions |
Thurs, Oct 31 |
Old Handwritten Notes Fitting a Line to Data Projection Matrices Linear Regression A^TAx=A^Tb |
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Homework 6 Solutions |
Thurs, Nov 14 |
Old Handwritten Notes Eigenvalues and Eigenvectors The Characteristic Equation Dynamical Systems Phase Portraits |
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Exam 2 Review Notes Practice Exam Solutions |
Thurs, Nov 21 | |
| Final Exam: Thurs Dec 5, 2:00-4:30pm Practice Exams (and Solutions) Summary of Topics | ||