Friday, 1/4	Intro to the course. Systems of linear equations (Section 1.1)
Monday, 1/7	Matrices, Gauss-Jordan elimination (Section 1.2). If time, the number of solutions to a linear system (Section 1.3). Read: Section 1.2.
Wednesday, 1/9	The number of solutions to a linear system; matrix algebra (Section 1.3) Read: Section 1.3.
Friday, 1/11	Linear Transformations (Section 2.1) Read: Section 2.1 HW #1 due: Section 1.1, #6, 7, 11, 17, 20, 28, 30, 44. Section 1.2, #4, 6, 7, 18, 20, 24, 25, 34, 72. Section 1.3, #4, 14, 18, 23, 24, 47.
Monday, 1/14	No class
Wednesday, 1/16	Linear Transformations in Geometry (Section 2.2). Read: Section 2.2, 2.3 HW due: Section 1.3, #25, 26. Section 2.1, #5, 6, 7, 21, 31, 32, 33.
Friday, 1/18	Matrix Products (2.3), A few words on matrix inverses. Read: Reread section 2.3, read first bit of Section 2.4 HW due: Section 2.2, #4, 6, 7, 8, 10, 11, 14, 20. Section 2.3, #1, 3, 5, 7, 9.
Monday, 1/21	Inverses (2.4) Read: Section 2.4
Wednesday, 1/23	The image and kernel of a linear transformation (3.1) Read: Section 3.1 HW #3 due: Section 2.3, #18, 36, 44, 46, 55. Section 2.4, #1, 2, 4, 6, 10, 13, 32, 34, 35, 37, 38, 41, 53, 67, 68, 71, 72.
Friday, 1/25	Subspaces, bases, linear independence Read: Section 3.2
Monday, 1/28	Dimension Read: Section 3.3 HW #4 due: Section 3.1, #4, 6, 7, 11, 12, 18, 20, 24, 30, 39, 40, 49, 51. Section 3.2, #2, 3, 6, 16, 24, 36, 37.
Wednesday, 1/30	Review
Friday, 2/1	Midterm 1
Monday, 2/4	No class -- Mid-term break
Wednesday, 2/6	Bases and Dimension. Read: re-read section 3.3
Friday, 2/8	More Bases and Dimension.
Monday, 2/11	Vector Spaces (called linear spaces in the book). Read: Section 4.1. HW #5 due: Section 3.3, #9, 20, 23, 24, 28, 29, 30, 31, 33, 36, 60, 61, 62, 81.
Wednesday, 2/13	More on linear spaces; bases, coordinates, and linear transformations. Read: Section 4.2 up to Theorem 4.2.4.
Friday, 2/15	Linear transformations and their matrices. Finish reading 4.2, read 4.3. HW #6 due: Section 4.1, #1-6, 9, 10, 27, 28, 47, 48. Section 4.2, #1-5, 22, 23, 26, 27.
Monday, 2/18	More on the matrix of a linear transformation. Change of basis. (Handouts)
Wednesday, 2/20	Determinants. HW #7 due: Section 4.2 #45, 48, 53, 63. Section 4.3, #13, 14, 20-26, 46.
Friday, 2/22	Review
Monday, 2/25	Midterm 2
Wednesday, 2/27	Determinants. Eigenvectors and eigenvalues
Friday, 3/1	Eigenvectors and eigenvalues. HW #8 due: Section 6.1, #4, 6, 7, 14, 15, 18, 26, 29, 36, 43, 44. Section 6.2, #6, 8, 9, 17, 30, 38, 39.
Monday, 3/4	Eigenvectors and Markov Chains Read: Section 7.3, 7.4
Wednesday, 3/6	Diagonalization HW #9 due: Section 7.2, #3, 6, 9, 13, 15, 18. Section 7.3, #3, 6, 9, 11, 14, 18, 42, 48.
Friday, 3/8	More diagonalization.
Monday, 3/11	Projects due.
Friday, 3/15	Final Exam, 3:30-6:00 pm