| Week 1 | January 17, 19 |
| Tu in class we did problems (1.1) 27, 37 and (1.2) 29. 61 | HW1 : (1.1) 2, 4, 7, 29 due Th 19 |
| Th we did matrices in RREF and elementary row operations (resp. top and bottom of page 16) and two ways to evaluate a product Ax (top page 29 and bottom page 30) | HW2 : (1.1) 18, 23 (1.2) 2, 4, 18, 22 (1.3) 14, 36, 58 due Th 26 |
Week 2 | Janunary 24, 26 |
| Tu we did problems (1.1) 17 (1.2) 46 (1.3) 37 and defined linear transformations (Defn 2.1.1 and Thm 2.1.3) | |
| Th we pointed out the connection between composition of linear transformations and matrix products (L after T has matrix BA - Defn 2.3.1 / Thm 2.3.4) and we used row reduction techniques from Chapter 1 to find the inverse of a matrix (pages 81 and 82) | HW3 : (2.1) 6, 8, 44, 52 (2.3) 4, 20 (2.4) 12, 18 due Th 2 |
Week 3 | February 31, 2 |
| Tu we showed that projections on a line or a plane are linear transformations, we found a short formula for projection on a line (x goes to kw where k = (x.w)/(w.w)), and we derived in three different ways the matrix A for a projection (for this part use notes from class - I will upload my own notes next week - rather than section (2.2) from the book). This completes Chapter 2 | |
| Th we went through sections (3.1), (3.2), including important definitions: the image im(T) and kernel ker(T), linear combinations and span, linearly independent / linearly dependent and basis, and the Theorems 3.1.3, 3.1.4, 3.1.6, 3.2.2 | HW4 : (3.1) 10, 16, 30, 34, 42, 50, 52 (3.2) 2, 6, 8, 18, 32 due Th 9 |
Week 4 | February 7, 9 |
| --- we will do Sections (3.3), (3.4) | |
| --- we will do Sections (4.1), (4.2) | |
Week 5 | February 14, 16 |
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Week 6 | February 21, 23 |
| FIRST MIDTERM FEB 21 (IN CLASS) | |
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Week 7 | March 28, 1 |
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Week 8 | March 6, 8 |
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Week 9 | March 13, 15 |
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Week 10 | March 20, 22 |
| Spring Break | |
| Spring Break | |
Week 11 | March 27, 29 |
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Week 12 | April 3, 5 |
| SECOND MIDTERM APR 3 (IN CLASS) | |
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Week 13 | April 10, 12 |
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Week 14 | April 17, 19 |
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Week 15 | April 24, 26 |
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Week 16 | May 31-4 |
| Last day of class Tuesday May 1 | |
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Week 17 | May 7-11 |
| Final Exam P13 (TR 11:00-12:20) Monday May 7, 1:30 - 4:30 pm | |
| Final Exam Q13 (TR 12:30-1:50) Thursday May 10, 8:00 - 11:00 am | |