| Lecture | Date | Topic
|
| 1 | Thu 8/28 | Outline of the course,
introduction to vectors
|
| 2 | Tue 9/2 | Euclidean spaces
and their subspaces
|
| 3 | Thu 9/4 | Inner product, norm,
and distance
|
| 4 | Tue 9/9 | Linear transformations
|
| 5 | Thu 9/11 | Matrices
|
| 6 | Tue 9/16 | More on matrices
|
| 7 | Thu 9/18 | Determinants
|
| 8 | Tue 9/23 | Cross product and
special coordinates in R3
|
| 9 | Thu 9/25 | Geometry of scalar
functions
|
| --- | Tue 9/30 | No class
|
| 10 | Thu 10/2 | Workshop 1
|
| 11 | Tue 10/7 | Midterm 1
|
| --- | Thu 10/9 | No class
|
| --- | Tue 10/14 | No class
|
| 12 | Thu 10/16 | Limits and continuity
|
| 13 | Tue 10/21 | Derivatives
|
| 14 | Thu 10/23 | More on derivatives,
introduction to paths
|
| 15 | Tue 10/28 | Differentiation rules
|
| 16 | Thu 10/30 | Gradient of a scalar
function
|
| 17 | Tue 11/4 | Higher derivatives
|
| 18 | Thu 11/6 | Taylor's theorem
|
| 19 | Tue 11/11 | Extrema of scalar
functions and classification of critical points
|
| 20 | Thu 11/13 | Workshop 2
|
| 21 | Tue 11/18 | Midterm 2
|
| 22 | Thu 11/20 | Constrained extrema
|
| 23 | Tue 11/25 | The inverse
and implicit function theorems
|
| --- | Thu 11/27 | No class
|
| 24 | Tue 12/2 | Geometry of curves
in R2 and R3
|
| 25 | Thu 12/4 | Vector fields and
their trajectories, geometric ODE's
|
| 26 | Tue 12/9 | Divergence and curl
|
| 27 | Thu 12/11 | More on divergence
and curl
|
| 28 | Tue 12/16 | Workshop 3
|