1: M 3 Jan

Vectors

Dot Product

Dot Product
Law of Cosines

2: T 4 Jan

Vector Addition
Magnitude

Which Way is North?

Vector addition
Bases

3: W 5 Jan

Differentials

Differentials I, II

4: F 7 Jan

Curvilinear Coordinates

Coordinates

Vector differential in two dimensions

Finding $d\boldsymbol{\vec{r}}$

$d\vec{r}$ (rect), (polar)

5: M 10 Jan

Vector differential in three dimensions

Vector Differential

Curvilinear Differential
Gradient in Curvilinear Coordinates

6: T 11 Jan

Gradient

Gradient Definition
Gradient Properties

7: W 12 Jan

Gradient

The Hill

8: F 14 Jan

Directional Derivatives

9: T 18 Jan

Vector Fields

10 : W 19 Jan

The Valley
Diagonal Differential

11: F 21 Jan

Line Integrals

Vector Line Integrals
Use what you know

12: M 24 Jan

Line Integrals

The Pretzel

Scalar Line Integrals
Densities

13: T 25 Jan

Line integrals around closed curves

The Wire

14: W 26 Jan

Path Independence

15: F 28 Jan

Conservative Vector Fields

Conservative Vector Fields
Visualizing Conservative Vector Fields

16: M 31 Jan

Potential Functions

Murder Mystery Method

Potential Functions

17: T 1 Feb

The Cone

Mass

18: W 2 Feb

Surfaces

Cross Product
Surface Element

19: F 4 Feb

Surface Elements

Vector Surface Element

20: M 7 Feb

Review

21: T 8 Feb

Midterm

22: W 9 Feb

Go over midterm

23: F 11 Feb

Flux

Flux Integrals

24: M 14 Feb

Highly Symmetric Surfaces
Less Symmetric Surfaces

25: T 15 Feb

Surface Integrals

Highly Symmetric Surfaces
Less Symmetric Surfaces

26: W 16 Feb

27: F 18 Feb

Divergence

Divergence Definition

28: M 21 Feb

Divergence

Visualization of Divergence

Interactive Divergence
Seeing Divergence

29: T 22 Feb

Divergence in Curvilinear Coordinates

30: W 23 Feb

Divergence Theorem

31: F 25 Feb

Curl

Circulation
Definition of Curl

32: M 28 Feb

Curl

Visualization of Curl

Geometry of Curl
Interactive Curl
Seeing Curl

33: T 1 Mar

Curl

Curl in Curvilinear Coordinates
Product Rules for Vector Fields

34: W 2 Mar

Stokes' Theorem

35: F 4 Mar

Stokes' Theorem

36: M 7 Mar

Second Derivatives

37 : T 8 Mar

Change of Variables

38: W 9 Mar

Change of Variables

39: F 11 Mar

Review

40: Th 17 Mar

Final

EXTRA MATERIAL

Parametrization

Position vector
Parametric curves

Vector representation

Distance Formula
Dot Product
Curvilinear Coordinates

Curvilinear basis vectors in two dimensions

Acceleration

Position Vector
Curvilinear Position Vector

Vector Fields in MATLAB

Visualizing Divergence and Curl

Topic/Day

Activities

Resources

Homework Due