MATH 2400 Calculus 3 - Spring 2022
Here you can find my notes from class. I have left out text from definitions and examples so that these notes may be used as a study guide. Please do not post them elsewhere on the internet.
Warnings:
1) These notes almost certainly contain errors! When you discover one, please let me know.
2) In class, I will try to follow these notes as closely as possible, but sometimes I will have to improvise! Perhaps I notice an error in one of my examples and need to change the problem on the fly, or someone asks a really good question that leads us in a direction I hadn't anticipated. All this is to say that these notes may not represent what was actually covered in class, so use them thoughtfully.
9.5 Equations of Lines and Planes
9.7 Cylindrical and Spherical Coordinates
10.1 Vector Functions and Space Curves Lecture
10.2 Derivatives and Integrals of Vector Functions
10.5 Parametric Surfaces Lecture Part 1, Part 2 (includes 11.1)
11.1 Functions of Several Variables Lecture (includes 10.5)
11.2 Limits and Continuity Lecture (part 1) - wifi went out so only the second half was recorded, Lecture (part 2)
11.3 Partial Derivatives Lecture
11.4 Tangent Planes and Linear Approximations Lecture We began class with the week 6 activity "Composition of Functions" available on Canvas.
11.5 The Chain Rule Lecture (Includes last part of 11.4) Part 2 (Feb. 16)
11.6 Directional Derivatives and the Gradient Vector Lecture
11.7 Maximum and Minimum Values Lecture 1, Part 2 (also includes start of Lagrange Multipliers)
11.8 Lagrange Multipliers Lecture (I go over the quiz in the first few minutes)
12.1 Double Integrals over Rectangles Lecture (Covers all of 12.1 and the beginning of 12.2)
12.2 Iterated Integrals Lecture (same as 12.3)
12.3 Double Integrals Over General Regions Lecture (same as 12.2) Part 2
12.4 Double Integrals in Polar Coordinates (See 12.5 lecture)
12.5 Applications of Double Integrals Lecture (12.4 and beginning of 12.5) No sound at the beginning
12.6 Surface Area End of 12.5, beginning of 12.6
12.8 Triple Integrals in Cylindrical and Spherical Coordinates Lecture Part 1, Part 2 (no sound, unfortunately)
12.9 Change of Variables in Multiple Integrals First half Second half
13.1 Vector Fields Lecture (includes end of 12.9)
13.5 Curl and Divergence Lecture
13.6 Surface Integrals Lecture Part 0, Part 1, Part 2 (also beginning of 13.7)
13.7 Stokes' Theorem Lecture Part 1 (also end of 13.6) Part 2