| Math 253 Weekly Schedule Text: Introduction to Linear Algebra 3rd edition, G. Strang. [ Math 253 Home | Course Syllabus ] |
Week | Dates | Reading Assignment | Homework Assignment | HW Due Date | Exam Date |
|---|---|---|---|---|---|
| 1 | Aug 31 - Sept 3 | Sections 1.1, 1.2, 2.1 vectors, linear combinations, dot products, linear equations |
Assignment 1 1.1   1, 2, 3, 18, 19, 28 1.2   1, 2, 4, 6b, 8, 11, 13, 20, 29 |
Thursday Sept 9 |
No Exam |
| 2 | Sept 6 - 10 | Sections 2.1, 2.2, 2.3 linear equations, elimination, elimination using matrices |
Assignment 2 2.1   10, 11, 18, 22, 27 2.2   1, 2, 5, 11, 19 2.3   1, 2, 3, 7, 8 Also write up the solutions to the two problems that you didn't do in Group Exam 1 |
Thursday Sept 16 |
Group Exam 1 Friday Sept 10 |
| 3 | Sept 13 - 17 | Sections 2.4, 2.5, 2.6 matrix mult, inverse matrix, elimination=LU factorization |
Assignment 3 2.3   27 2.4   14, 26 2.5   1, 2, 3, 6, 7, 9, 25 2.6   12, 18 2.7   4 Also write up the solutions to the two problems that you didn't do in Group Exam 2 |
Thursday Sept 23 |
Group Exam 2 Monday Sept 20 |
| 4 | Sept 20 - 24 | Sections 2.7, 3.1, 3.2 transposes and permutations, vector spaces, null space |
Assignment 4 2.7   5, 7, 16, 19 3.1   1, 2, 8, 10, 18, 20, 22, 24, 28 3.2   1, 2 Also write up the solutions to the two problems that you didn't do in Group Exam 3 |
Thursday Sept 30 |
Group Exam3 Monday Sept 27 |
| 5 | Sept 27 - Oct 1 |
Sections 3.2, 3.3, 3.4 null space, rank of a matrix, solving Ax=b |
Assignment 5 3.2   4, 5, 8, 9, 13, 14, 15, 18,         19, 26, 27, 30 3.3   7, 10, 15, 17, 18, 19 |
Friday Oct 8 |
MIDTERM EXAM 1 Monday Oct 4 |
| 6 | Oct 4 - 8 | Sections 3.5, 3.6 Independence, Basis, Dimension, & the Four Subspaces |
Assignment 6 3.4   1, 4, 6, 11,13, 16, 17, 24 3.5   2, 5, 9, 10, 13, 21, 27, 29 |
Thursday Oct 14 |
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| 7 | Oct 11-15 | Sections 3.6, 4.1, 4.2 The Four Subspaces, Orthogonality, Projections |
Assignment 7 3.6   2, 4, 11, 13, 20 4.1   3, 4, 11, 17, 19, 21, 28 4.2   1, 2 Also write up the solutions to the two problems that you didn't do in Group Exam 4 |
Thursday Oct 21 |
Group Exam 4 Friday Oct 15 |
| 8 & 9 | Oct 18-29 | Sections 4.2, 4.3, 4.4 Projections, Least Squares Approximations |
Assignment 8 Group Exam 5 Group Exam 5, solutions |
Friday Oct 29 |
Group Exam 5 Friday Oct 29 |
| 10 | Nov 1-5Sections 4.4, 5.1, 5.2 Orthonormal Bases, Gram-Schmidt, Determinants |
Assignment 9 Group Exam 6 Group Exam 6, solutions |
Friday Nov 5 |
Group Exam 6 Friday Nov 5 |
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| 11 | Nov 8-12 | Sections 6.1, 6.2 Eigenvalues and Eigenvectors, Diagonalization |
Assignment 10 | Friday Nov 12 |
MIDTERM EXAM 2 Solutions [1], [2], [3], [4], |
| 12 | Nov 15-19 | Sections 6.2, 6.4, 8.3 Diagonalization, Diagonalization and Symmetric Matricies, Markov Matricies |
Assignment 11 6.1   12, 20, 22, 27 6.2   1, 3, 4, 7, 10, 15, 16, 19, 24 |
Friday Nov 19 |
Group Exam 7 Tuesday Nov 23 |
| 13 | Nov 22-24 | Sections 6.3 Applications to Differential Equations |
Assignment 12 | Friday Dec 3 |
Group Exam 8 t.b.a. |
| 14 | Nov 28-Dec 3 | Sections 7.1, 7.2, 7.3 Linear Transformations, Coordinates, Change of Coordinates Matrix, Quadratic Forms |
Assignment 13 | Friday Dec 10 or at final exam |
Group Exam 8 t.b.a. |
| 15 | Dec 6-10 | Sections 6.7 and notes Constrained Optimization, Singular Value Decomposition |
FINAL EXAM Tues, Dec 14 2-5PM |
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