6/25 Sun

Arrival

6-8 pm

Welcome Dinner
(Grimm Hall South 002)
Boxed Sandwiches and Salads

Welcome Activity

6/26 Mon

7:30-8:30 am

Breakfast

8:30-10:00 am

Introduction to Raising Calculus

Introduction to the Geometry of Vectors

Introduction to the Workshop

10-10:30 am

Snack Break
(outside classroom)

10:30 am-noon

Derivatives SWBQ

Partial Derivatives

Leibniz Notation

The Anatomy of a Small Group Activity

12-1:30 pm

Lunch Break
(Cafeteria line closes at 1)

1:30-3 pm

Differentials mini lecture (before activity)

Differentials Activities

Video:
Rules for Differentials
Product Rule
Chain Rule
Read:
GVC: Leibniz vs. Newton
GVC: Differentials
GVC: Rules for Differentials
GVC: Properties of Differentials
GVC: The Multivariable Differential
GVC: Differentials: Summary

Differentials Version of the Chain Rule

Vector Derivatives

Multivariable differentials and partial derivatives

Dot product SWBQ

3-3:30 pm

Snack Break
(outside classroom)

3:30-5 pm

\(d\vec{r}\)

GVC: The Vector Differential \(d\vec{r}\)

Gradient Properties (mini-lecture)

GVC: Gradient
GVC: Geometry of Gradient
GVC: Properties of Gradient
GVC: Directional Derivatives

Geometry of the Gradient

(resources moved earlier to go with minilecture.)

Choosing Pedagogical Strategies

5-6:30 pm

Dinner

7-8 pm (optional)

Participants Share Their Own Curricular Innovations

6/27 Tue

7:30-8:30 am

Breakfast

8:30-10 am

Densities

Forming Groups/Furniture

Group Roles

Total Amount

Chop, Multiply, Add

Pedagogical Moves

10-10:30 am

Snack Break
(outside classroom)

10:30 am-noon

Curvilinear Coordinates

GVC: Curvilinear Coordinates

Use What You Know

Generating Discussion
Misconceptions

12-1:30 pm

Lunch Break
(Cafeteria line closes at 1)

1:30-3 pm

Cross Product

GVC: Cross Product

Vector Fields

\(d\vec{r}\) in Curvilinear Coordinates

Vector Surface Elements

GVC: Surface Elements
GVC: Vector Surface Elements

3-3:30 pm

Snack Break
(outside classroom)

3:30-5 pm

Groups Prepare Presentations

5-6:30 pm

Dinner

7-8 pm (optional)

Using Vector Calculus in the Physical Sciences

6/28 Wed

7:30-8:30 am

Breakfast

8:30 am-noon

Optimization

GVC: Optimization

Conservative Vector Fields

GVC: Path Independence
GVC: Conservative Vector Fields
GVC: Visualizing Conservative Vector Fields
GVC: Potential Functions

Surface and Volume Integrals

The Cake

Linear Approximation

Directional Derivatives (Figure 8)

Area (Putting Green)

Gradient (Hillside 2 versions)

Line Integrals (The Wire)

Divergence (Fishing Net)

Stokes' Theorem

Surface Integrals (The Cone)

10-10:30 am ish

Snack Break
(outside classroom)

12-1:30 pm

Lunch Break
(Cafeteria line closes at 1)

1:30-3 pm

Flux

GVC: Flux
GVC: Highly Symmetric Surfaces
GVC: Less Symmetric Surfaces

3-3:30 pm

Snack Break
(outside classroom)

3:30-5 pm

Discussion: Leading Activities.

Workshop Evaluation Focus Group

5:30-6:30 pm

Banquet

7-8 pm

6/29 Thu

7:30-8:30 am

Breakfast

8:30-10 am

Curl (and Divergence) Mini Lecture

GVC: Circulation
GVC: Definition of Curl
GVC: Definition of Divergence

Curl (and Divergence) Visualization

GVC: Geometry of Curl
GVC: Interactive Curl
GVC: Seeing Curl
GVC: Interactive Divergence
GVC: Seeing Divergence

Divergence and Curl in Curvilinear Coordinates

GVC: The Curl in Curvilinear Coordinates
GVC: The Divergence in Curvilinear Coordinates

Stokes' Theorem (and the Divergence Theorem)

GVC: Stokes' Theorem
GVC: The Divergence Theorem

10-10:30 am

Snack Break
(outside classroom)

10:30 am-noon

Make Your Own Syllabus

12-1:30 pm

Lunch Break
(Cafeteria line closes at 1)

1:30 pm

Departure

Types of Active Engagement

Effective Wrap-Up

Leading Activities

Constructing a Formula

Anatomy of an Activity

Topic/Day

Activities

Resources

Homework Due