| Lecture | Date | Topic
|
| 1 | Tue 8/29 | Outline of the course,
introduction to vectors
|
| 2 | Thu 8/31 | Euclidean spaces
and their subspaces
|
| 3 | Tue 9/5 | Inner product, norm and distance in $\mathbb{R}^n$
|
| 4 | Thu 9/7 | Linear transformations
|
| 5 | Tue 9/12 | Matrices
|
| 6 | Thu 9/14 | More on matrices
|
| 7 | Tue 9/19 | Determinants
|
| --- | Thu 9/21 | No class
|
| 8 | Tue 9/26 | Cross product and
special coordinates in $\mathbb{R}^3$
|
| 9 | Thu 9/28 | Geometry of scalar
functions
|
| 10 | Tue 10/3 | Workshop I
|
| 11 | Thu 10/5 | Midterm I
|
| 12 | Tue 10/10 | Limits and continuity
|
| 13 | Thu 10/12 | The derivative
|
| 14 | Tue 10/17 | More on derivative,
introduction to paths
|
| 15 | Thu 10/19 | Differentiation rules
|
| 16 | Tue 10/24 | Higher derivatives
|
| 17 | Thu 10/26 | Gradient of a scalar
function
|
| 18 | Tue 10/31 | Taylor's theorem
|
| 19 | Thu 11/2 | Extrema of scalar
functions and classification of critical points
|
| 20 | Tue 11/7 | Workshop II
|
| 21 | Thu 11/9 | Midterm II
|
| 22 | Tue 11/14 | Constrained extrema
|
| 23 | Thu 11/16 | The inverse
and implicit function theorems
|
| -- | Tue 11/21 | No class
|
| -- | Thu 11/23 | No class
|
| 24 | Tue 11/28 | Geometry of curves in ${\mathbb R}^2$ and ${\mathbb R}^3$
|
| 25 | Thu 11/30 | Vector fields and
their trajectories, geometric ODE's
|
| 26 | Tue 12/5 | Divergence and curl
|
| 27 | Thu 12/7 | More on divergence
|
| 28 | Tue 12/12 | Workshop III
|