| Monday, 1/5 | Intro to the course. Systems of linear equations (Section 1.1) and solving them via row operations on matrices. |
| Wednesday, 1/7 | Matrices, Gauss-Jordan elimination (Section 1.2). Read: Section 1.2. |
| Friday, 1/9 | The number of solutions to a linear system; matrix algebra (Section 1.3). Read: Section 1.3. HW #1 due: Section 1.1, #6, 7, 15, 17, 25, 32, 48. Section 1.2, #4, 6, 7, 22, 26, 27, 36, 69, 72. |
| Monday, 1/12 | Linear Transformations (Section 2.1) Read: Section 2.1 |
| Wednesday, 1/14 | Linear Transformations in Geometry (Section 2.2). Read: Section 2.2, start on 2.3 HW #2 due: Section 1.3, #4, 18, 23, 24, 25, 26, 28, 47, 50, 58. Section 2.1, #5, 6, 7, 32. |
| Friday, 1/16 | More on projections and shears (Section 2.2). Matrix multiplication (Section 2.3). Read: review 2.2, read 2.3 |
| Monday, 1/21 | More matrix multiplication. Inverses (Section 2.4). Read: Review 2.3, read 2.4. HW #3 due: Section 2.1, #22, 23, 31. Section 2.2, #4, 6, 8, 10, 14, 19, 20, 27, 28. Section 2.3, #1, 3, 5, 7, 9, 17, 18, 36, 37, 42. |
| Wednesday, 1/23 | Inverses (2.4). Read: Skim Section 2.4, read pages 110-114 in Section 3.1. |
| Friday, 1/25 | The image and kernel of a linear transformation (3.1) Read: review Section 3.1. HW #4 due: Section 2.3, #43-48. Section 2.4, #2, 4, 6, 10, 13, 32, 34, 35, 41, 67, 68, 71. |
| Monday, 1/26 | More on kernel and image; subspaces Read: Section 3.2. |
| Wednesday, 1/28 | Subspaces, linear independence, and bases. Reread: Section 3.2. HW #5 due: Section 3.1, #6, 7, 12, 14, 15, 18, 22, 24, 30, 39, 40, 49, 50, 51. Section 3.2, #2, 3. |
| Friday, 1/30 | Bases and dimension. Read: Section 3.3. HW #6 due: Section 3.2, #6, 16, 24, 36, 37, 39, 43. |
| Monday, 2/2 | Review |
| Wednesday, 2/4 | Midterm 1 |
| Friday, 2/6 | Dimension. Finding bases for the kernel and image of a matrix. The rank-nullity theorem. Re-Read: Section 3.3. |
| Monday, 2/9 | Mid-term break |
| Wednesday, 2/11 | The rank-nullity theorem. A few words on Linear Spaces. HW #7 due Section 3.3, #9, 17, 19, 20 (for the previous three, just find a basis for the kernel), 29, 30, 62, 80 (For the last two, think about Theorem 3.3.1). |
| Friday, 2/13 | Linear Spaces. Read: Section 4.1 through Definition 4.1.3, and also Summary 4.1.6. |
| Monday, 2/16 | Linear Spaces and their linear transformations (Section 4.1). HW #8 due: Section 3.3, #21, 22, 25, 36, 37, 38, 39, 63, 64. |
| Wednesday, 2/18 | Linear Transformations (Section 4.2) Read: Pages 174-175 and Section 4.2 through Definition 4.2.2. |
| Friday, 2/20 | Coordinates and the matrix of a linear transformation (Section 4.3) HW #9 Due: Section 4.1, #1-6, 9, 10, 25, 26, 27, 28, 48. Section 4.2, #1-3, 23, 25, 26, 48, 53, 63. |
| Monday, 2/23 | The matrix of a linear transformation. Change of basis. (Section 4.3) |
| Wednesday, 2/25 | Change of basis. The determinant (Section 6.1) HW #10 Due: Section 4.2, #22, 45. Section 4.3, #13, 14, 20-26, 36, 37, 44, 46, 48. |
| Friday, 2/27 | A few more words on determinants. Review |
| Monday, 3/2 | Midterm 2 |
| Wednesday, 3/4 | Eigenvectors and Eigenvalues. Read: Section 7.1, first part of 7.2. |
| Friday, 3/6 | More eigenvectors and eigenvalues. Read: rest of 7.2, section 7.3. |
| Monday, 3/9 | HW #11 due: Section 6.2, #6, 8, 9, 17, 30, 37, 39. Section 7.2, #3, 9, 13, 15, 18. Section 7.3, #3, 9, 11, 14, 18, 42, 48. |
| Wednesday, 3/11 | Projects due. |
| Saturday, 3/14 | Final Exam, 8:30-11:00 am |