Special topics in mathematics with applications: linear algebra and the calculus of variations

Lectures: 2 sessions / week, 1.5 hours / session

This year, 2.035 focuses on selected topics from linear algebra and the calculus of variations. It is aimed mainly (but not exclusively) at students aiming to study mechanics (solid mechanics, fluid mechanics, energy methods etc.), and the course introduces some of the mathematical tools used in these subjects. Applications are related primarily (but not exclusively) to the microstructures of crystalline solids.

18.02, 18.03, or permission of instructor.

Part 1: In-class. You can use your own handwritten class notes only.

Part 2: Take home. You can use Knowles and your own handwritten class notes only.

The final exam will be entirely take home. All problems will be on calculus of variations. There will be 6 problems of which you can work any 5. You should not devote more than 2 hours on any one problem.

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