Intro to Linear Algebra
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Textbook: There is no textbook. All lecture notes will be posted right here. For further reading I recommend Gilbert Strang's Introduction to Linear Algebra or my lecture notes from a previous iteration of this course.
Office Hours: Mondays 12-1, Thursdays 2-3, and by appointment. | ||
| Assignment | Due Date | Details |
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Homework 1 Solutions |
Fri, Jan 22 |
Course Notes Cartesian Coordinates Vectors: Algebra vs. Geometry Length, Distance, Angle Dot Product |
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Homework 2 Solutions |
Wed, Feb 3 |
Course Notes One Equation = A Shape in Space System of Equations = Intersection of Shapes Expected Dimension of the Solution Parametrizing the Solution |
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Homework 3 Solutions |
Wed, Feb 17 |
Course Notes What is a Hyperplane? Systems of Linear Equations The Row Picture and Column Picture Gaussian Elimination, RREF |
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Homework 4 Solutions |
Mon, Feb 29 |
Course Notes The Matrix Notation: Ax = b A Matrix is a Function Matrix Multiplication = Function Composition Trick for Multiplying Matrices |
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Exam 1 Review Notes 1A Solutions 1B Solutions |
Fri, Mar 4 |
Total: 30 points A = 25 and above B = 21 and above C = 8 and above |
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Homework 5 Solutions |
Fri, Mar 25 |
Course Notes Fundamental Theorem of Linear Algebra Existence of Inverse Matrices Computation of Inverse Matrices Properties of Matrix Algebra |
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Homework 6 Solutions |
Wed, Apr 6 |
Course Notes Fitting a Line to Data Projecting a Point onto a Line Projecting a Point onto a Subspace Least Squares Approximation |
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Exam 2 Review Notes Practice Problems 2A Solutions 2B Solutions |
Fri, Apr 15 |
Total: 30 points A = 24 and above B = 16 and above C = 8 and above |
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Homework 7 Solutions |
Wed, Apr 20 |
Course Notes Fibonacci Numbers Definition of Eigenvectors & Eigenvalues The Characteristic Equation The Idea of Spectral Analysis |
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Final Exam Practice Exam Study Sheet |
Wed, Apr 27 | 2:00-4:30pm |