Math 2415

John Zweck

Lecture Notes

[John Zweck's Photo]
Image Credit: Cloyce Stetson, Math 2415.001, Fall 2022

Neat, concise version, with thanks to Tanvi Khandekar, Spring 2023

Warning: These three files are all large (50-60MB)

Part I
Part II
Part III

Scrappy, verbose version

Lecture 1 (Vectors)
Lecture 2 (Dot Products)
Lecture 3 (Cross Products)
Lecture 4A (Lines)
Lecture 4B (Planes)
Lecture 5 (Cylindrical and Spherical Coordinates)
Lecture 6A (How to Sketch Quadric Surfaces)
Lecture 6B (Quadric Surfaces)
Lecture 7 (Curves)
Lecture 8A (Visualizing Functions of Several Variables)
Lecture 8B (Visualizing Functions of Several Variables: Matching Game)
Lecture 9 (Limits Functions of Several Variables)
Lecture 10 (Partial Derivatives)
Lecture 11 (Tangent Planes and Linear Approximations)
Lecture 12 (Parametrized Surfaces)
Lecture 13 (Chain Rule)
Lecture 14 (Gradient and Directional Derivative)
Lecture 15A (Local Optimization)
Lecture 15APlots (Local Optimization: Contour Plots)
Lecture 15B (Global Optimization)
Lecture 16 (Lagrange Multipliers)
Lecture 17 (Double Integrals over Rectangles)
Lecture 18 (Double Iterated Integrals over Rectangles)
Lecture 19 (Double Iterated Integrals over General Regions)
Lecture 20 (Double in Polar Coordinates)
Lecture 21 (Triple Integrals in Rect, Cyl, Sph Coords)
Lecture 21B (Volumes of Cathedral Crossings and Cylinder Intersections)
Lecture 22 (Change of Variables Theorem)
Lecture 23 (Vector Fields)
Lecture 24 (Line Integrals of Functions and Vector Fields)
Lecture 25 (FTC for Functions on Curves and Conservative Vector Fields)
Lecture 26 (Green's Theorem)
Lecture 27 (Curl and Divergence)
Lecture 28 (Surfaces Integrals)
Lecture 29 (Stokes' Theorem)
Lecture 30 (Divergence Theorem)
Lecture 31A (Review-Version 1)
Video Recording of Lecture 31A: Course Review
Lecture 31B (Review-Version 2)
Lecture 32 (Maxwell's Equations)