I taught MAT 21D, vector calculus, online at Davis during summer session II 2021. Below are my lecture notes, midterms with solutions, and final with solutions. We roughly followed along with Thomas’ Calculus, 14th edition and the UC Davis department syllabus.

To navigate the material here, I recommend looking at my Schedule. Chapter 15 is double and triple integrals, chapter 13 is about parameterized curves in 3D space, and chapter 16 is about line and surface integration, especially of vector fields.

Lecture Notes

Discussion Notes

Midterm 1: part 1, part 2, solutions

Midterm 2: part 1, part 2, solutions

Final: part 1, part 2, solutions

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