Zachary Gagnon – Teaching Portfolio

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Online Teaching Portfolio – Zachary Gagnon

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Unit

Variable Diffusivity in a Semi-Infinite Domain

In this video series we will revisit diffusion in a semi-infinite domain. I will show you how to code this problem up in Maple, and you will apply what you learn to solve a diffusion problem with a variable diffusion coefficient. This is a fun video series and by the end of it you will know how to solve a non-linear partial differential equation using a computer.

Unit 7

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9 Lessons

Lessons

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1. Transport in Semi-Infinite Domains (4 mins)

2. The Governing Diffusion Equation (6 min)

3. Simple Affine Stretching (10 mins)

4. Determining the Similarity Variable and Rule (5 min)

5. Developing the Transformed ODE (7 min)

6. Solving the ODE (The Error Function) (9 min)

7. Summary of Solution Process (8 min)

8. Diffusion in Semi-Infinite Domain: Solution in Maple
3 topics

1. Initial Problem Setup (10 min)
2. Developing the ODE in Maple (6 mins)
3. Plotting the Solution in Maple (10 mins)

9. Challenge Problem: Variable Diffusivity
3 topics

1. Problem Summary (5 min)
2. Problem Setup (13 min)
3. Solving the Challenge Problem (2 min)

Unit by

Professor Gagnon

Unit Lessons

1. Transport in Semi-Infinite Domains (4 mins)

2. The Governing Diffusion Equation (6 min)

3. Simple Affine Stretching (10 mins)

4. Determining the Similarity Variable and Rule (5 min)

5. Developing the Transformed ODE (7 min)

6. Solving the ODE (The Error Function) (9 min)

7. Summary of Solution Process (8 min)

8. Diffusion in Semi-Infinite Domain: Solution in Maple

1. Initial Problem Setup (10 min)
2. Developing the ODE in Maple (6 mins)
3. Plotting the Solution in Maple (10 mins)

9. Challenge Problem: Variable Diffusivity

1. Problem Summary (5 min)
2. Problem Setup (13 min)
3. Solving the Challenge Problem (2 min)

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