Monday 6/26

Which Way is North?

Wednesday 6/28

Vectors

Acceleration

Vectors

Friday 6/30

Dot Product

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

Dot Product
Law of Cosines

Monday 7/3

The Hill

Vector Fields

Wednesday 7/5

Vector Addition
Magnitude

Vector Differential--Rectangular

Vector addition
Bases

Friday 7/7

Vector Differential--Curvilinear

Monday 7/10

Differentials

The Pretzel
Murder Mystery Method

Differentials I, II

Wednesday 7/12

The Wire

Friday 7/14

Curvilinear Coordinates

Coordinates

Surfaces

Up a dimension

Cross Product
Surface Element

Monday 7/17

Vector differential in two dimensions

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

surface integrals

Surface integrals

Wednesday 7/19

The Cone

Mass

Friday 7/21

Vector differential in three dimensions

Vector Differential--Rectangular

Vector Differential

Divergence

Visualization of Divergence

Interactive Divergence
Seeing Divergence

Monday 7/24

Curvilinear Differential
Gradient in Curvilinear Coordinates

14: 7/24

Triple integrals

Wednesday 7/26

The Fishing Net

Friday 7/28

Gradient

Gradient Definition
Gradient Properties

Monday 7/31

Wednesday 8/2

Friday 8/4

Gradient

Monday 8/7

Wednesday 8/9

Directional Derivatives

Wednesday 8 August

Path Independence

Conservative Vector Fields

Conservative Vector Fields
Visualizing Conservative Vector Fields

Friday 11 August

Friday

17: T 1 Feb

Monday 8/14

Vector Fields

Wednesday 8/16

18: W 2 Feb

Friday 8/18

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

Surface Integrals

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

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

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

Position Vector
Curvilinear Position Vector

Vector Fields in MATLAB

Visualizing Divergence and Curl

Topic/Day

Activities

Resources

Homework Due