| Lecture | Date | Topic
|
| 1 | Th 8/31 | Outline of the course,
introduction to vectors
|
| 2 | Tu 9/5 | Euclidean spaces
and their subspaces
|
| 3 | Th 9/7 | Inner product, norm,
and distance
|
| 4 | Tu 9/12 | Linear transformations
|
| 5 | Th 9/14 | Matrices
|
| 6 | Tu 9/19 | More on matrices
|
| 7 | Th 9/21 | Determinants
|
| 8 | Tu 9/26 | Cross product and
special coordinates in R3
|
| 9 | Th 9/28 | Geometry of scalar
functions
|
| 10 | Th 10/5 | Limits and continuity
|
| 11 | Tu 10/10 | Workshop 1
|
| *** | Th 10/12 | First Midterm
|
| 12 | Tu 10/17 | Derivatives
|
| 13 | Th 10/19 | More on derivatives,
introduction to paths
|
| 14 | Tu 10/24 | Differentiation rules
|
| 15 | Th 10/26 | Gradient of a scalar
function
|
| 16 | Tu 10/31 | Higher derivatives
|
| 17 | Th 11/2 | Taylor's theorem
|
| 18 | Tu 11/7 | Extrema of scalar
functions and classification of critical points
|
| 19 | Th 11/9 | Constrained extrema
|
| 20 | Tu 11/14 | Workshop 2
|
| *** | Th 11/16 | Second Midterm
|
| 21 | Tu 11/21 | The inverse
and implicit function theorems
|
| 22 | Tu 11/28 | Geometry of curves
in R2 and R3
|
| 23 | Th 11/30 | Vector fields and
their trajectories, geometric ODE's
|
| 24 | Tu 12/5 | Divergence and curl
|
| 25 | Th 12/7 | More on divergence
and curl
|
| 26 | Tu 12/12 | Workshop 3
|