Syllabus updated 11/2
|
Week 1 (9/21-9/25):
|
| L1: Vectors in Rn. |
| L2: Linear combinations and spans. |
| L3: Linear independence. |
| L4: Dot products and cross products. |
|
Week 2 (9/28-10/2):
|
| L5: Systems of linear equations. |
| L6: Matrices. |
| L7: Matrix-vector products. |
| L8: Null space. |
| L9: Column space. |
| L10: Subspaces of Rn. |
|
Week 3 (10/5-10/9): 10/9 Drop deadline
|
| L11: Basis for a subspace. |
| L12: Dimension of a subspace. |
| L13: Linear transformations. |
| L14: Examples of linear transformations. |
|
Week 4 (10/12-10/16):
|
| L15: Composition and matrix multiplication. |
| L16: Inverses. |
| Midterm
Exam 1 on Thursday 10/15 !! |
|
Week 5 (10/19-10/23):
|
| L17: Determinants. |
| L21: Systems of coordinates. |
| L23: Eigenvectors. |
|
Week 6 (10/26-10/30):
|
- L25: Symmetric matrices.
-
- Reference for matrix transpose: p124-5
- Reference for orthonormal basis: p162
- Reference for orthogonal matrix: p164-5
- L26: Quadratic forms.
|
| C2.1: Functions of several variables. |
| C3.1: Parametrized Paths, Motion |
|
Week 7 (11/2-11/6)
|
| C2.2: Continuity and limits. |
| C2.3: Derivative. |
| C2.4: Partial derivatives of higher order. |
|
Week 8 (11/9-11/13):
|
| C2.5: Chain Rule. |
| C2.6: Directional derivative, gradient. |
| Midterm
Exam 2 on Thursday 11/12 !! |
|
Week 9 (11/16-11/20):
|
| C4.1: Differentials and Taylor's theorem. |
| C4.2: Extrema of Functions. |
| C4.3: Lagrange multipliers. |
|
Week 10 (11/30-12/4): Last opportunity to arrange Incomplete in a course, at last class.
|
| C4.4: Some applications of extrema. |
| Review |
| Google Lecture (Last Class) |
| Final
exam on Monday 12/7!! |
|
