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