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## Learning Objectives

- To be able to describe the three coordinate systems we use in describing fields: Cartesian, cylindrical, and spherical.
- To be able to manipulate vectors and perform common operations with them: decomposition, addition, subtraction, dot products, and cross products.
- To be able to describe the fundamental meaning of integration in one, two, and three dimensions as a summation process.
- To be able to describe the fundamental meaning of differentiation.
- To be able to recognize situations where Taylor series should be used, and to be able to demonstrate that you can carry out a Taylor series expansion to first order.

## Preparation

### Course Notes

Read through the course notes. The course note files may also contain links to associated animations or interactive simulations.

Math Review (PDF)

## Learning Activities

### Guided Activities

Read through the class slides. They explain all of the concepts from the module.

Slides (PDF - 2.6MB)

### Self-Assessment

Once you have reviewed all the materials, try the Challenge Problems.

### Challenge Problems

Math Review Challenge Problems (PDF)

Solutions (PDF)

Fields Challenge Problems (PDF)

Solutions (PDF)

## Related Visualizations

The visualizations linked below are related to the concepts covered in this module.

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