MATH 247 Calculus 3, Lecture Notes


You should read and understand all of the lecture notes, and
you should work on the exercises and understand all the solutions.
I will make additions and modifications to the notes throughout the term.

Chapter 1. Introduction to Vector-Valued Functions	Exercises 1	Solutions 1
Chapter 2. Topology of Sets in Euclidean Space	Exercises 2	Solutions 2
Chapter 3. Limits and Continuity	Exercises 3	Solutions 3
Chapter 4. Introduction to Derivatives in Euclidean Space	Exercises 4	Solutions 4
Chapter 5. Differentiation	Exercises 5	Solutions 5
Chapter 6. Higher Order Derivatives	Exercises 6	Solutions 6
Chapter 7. Introduction to Integrals in Euclidean Space	Exercises 7	Solutions 7
Chapter 8. Jordan Content and Integration	Exercises 8	Solutions 8
Chapter 9. Fubini's Theorem and Change of Variables	Exercises 9	Solutions 9
Appendix. Linear Algebra Notes on Bilinear Forms