Math 22
Linear algebra with applications
Last updated July 18, 2017 09:28:19 EDT

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
3/24 1.1 Linear systems.
HW 1 assigned - 1.1: 2, 4, 14, 16, 18, 20, 33, 34 (extra credit). 1.2: 2, 4, 8, 14, 20, 33. 1.3: 2, 4, 10, 14, 18, 24, 28, 29.
3/25 (x-hour) 1.2 Row reduction.
3/26 1.2 Vectors; vector equations.
3/28 1.3 Ax=b; solution sets.
3/31 1.4, 1.5 Here are solutions to the first quiz. Homogeneous equations. Applications. HW 1 due.
HW 2 assigned - 1.4: 1, 4, 9, 10, 13, 16, 18, 26, 35. 1.5 : 1, 6, 8, 12, 20, 22, 24. 1.6 3, 12. 1.7 : 1, 5, 8, 10, 14, 21, 23, 24, 38. 1.8 : 1, 7, 9, 13, 14, 15, 16, 17
4/1 (x-hour) 1.6 Network flow
4/2 1.7 Linear independence
4/4 1.7, 1.8 Linear transformations.
4/7 1.9 The matrix of a linear transformation. Applications. Solutions to second quiz . HW 2 due.
HW 3 assigned - 1.8: 4, 6, 12, 24, 30, 31, 32. 1.9: 2, 4, 8, 12, 16, 18, 22, 26, 30. 1.10: 5, 11a. 2.1: 2, 10, 14, 16, 24, 25, 27. 33 (extra credit) 2.2: 2, 4, 6, 7, 9, 11, 14, 15, 30. 2.3: 2, 4, 6, 11, 15, 18, 23, 30, 34.
4/8 (x-hour) 1.10 Applications to difference equations.
4/9 2.1 Matrix algebra .
4/11 2.2, 2.3 Inverse of a matrix. Characterization of invertible matrices.
4/14 2.5 Matrix factorizations. HW 3 due.
HW 4 assigned - 2.5: 2, 4, 19 (extra credit). 1.10: 9, 10, 11b. 3.1: 1, 3, 5, 7 (show your work in the cofactor expansion), 20, 22, 26, 28, 30, 34, 38. 3.2: 2, 4, 6, 21, 25, 27, 28, 39, 40. 3.3:20, 24. 2.6: 5,7. 4.1: 2, 6, 19, 20.
4/15 (x-hour) 3.1, 3.2, 3.3 Determinants.
4/16   Review for midterm. Midterm I: Thursday 6-8 PM
4/18 4.1, 2.8 Vector spaces, subspaces. Subspaces of R^n. Solutions to the third quiz
4/21 4.2 Null spaces. HW 4 due.
HW 5 assigned - 2.8: 6, 14, 22, 24. 4.1: 10, 12, 32. 4.2: 2, 4, 6, 12, 24, 25, 26, 33, 34. 4.3:4, 6, 8, 10, 14, 16, 24, 33. 4.4:4, 6, 8, 10, 12, 14, 22, 23, 30. 4.5: 4, 14.
4/22 (x-hour) 4.3 Linear independence.
4/23 4.4 Coordinate systems.
4/25 4.5 Dimension of a vector space.
4/28 4.6 Rank of a matrix. HW 5 due.
HW 6 assigned - 4.5: 13, 21, 23. 4.6:2, 4, 6, 12, 16, 27, 28. 4.7: 2, 6, 10. 5.1: 2, 6, 8, 12, 16, 24, 26, 29.
4/29 (x-hour) 4.6, 2.9 Dimension and rank.
4/30 4.7 Change of basis.
5/2 5.1 Eigenvectors.
5/5 5.2 The characteristic equation. HW 6 due.
HW 7 assigned - 5.2: 4, 8, 12, 16, 18, 22, 25. 5.3: 2, 8, 14, 16, 20, 22, 24. 5.4: 2, 8, 12, 16, 17, 24
5/6 (x-hour) 5.3 Diagonalization
5/7   Review for midterm. Midterm II: Thursday 6-8 PM
5/9 5.4 Eigenvectors and linear transformations.
5/12 4.9 Applications to Markov chains and PageRank. HW 7 due.
HW 8 assigned (Mathematica) - 4.9: 15, 16. 5.6: 1, 2, 7, 8, 9. 5.8: 2, 7-10, 12, 18. 6.1: 1-8, 10, 11, 14, 16, 17, 24, 26, 30.
5/13 (x-hour) 5.6 Application to discrete dynamical systems.
5/14 5.8 Iterative estimates of eigenvalues.
5/16 6.1 Inner product spaces
5/19 6.2 Orthogonal sets, orthogonal projections. HW 8 due.
HW 9 assigned - 6.2: 2, 6, 8, 10, 12, 14, 16 20, 22, 35, 36. 6.3: 2, 6, 10, 14, 25, 26. 6.4: 4, 8, 10, 16. 6.5: 2, 6, 16. 6.6: 4, 7, 10, 12
5/20 (x-hour) 6.4 Gram-Schmidt.
5/21 6.5, 6.6 Least squares. Applications to linear models.
5/23   Final review.
5/26   HW 9 due.
5/31   Final exam: 11:30 AM.

Danny W. Crytser
Last updated July 18, 2017 09:28:19 EDT