Textbooks/Problems

MAIN TEXTBOOK

My course will rely on Anton, Bivens, and Davis’ Calculus: Early Transcendentals, 9th edition (especially chapters 12-16).

[The bicyclists have been a mystery to me since I first glanced at the book. No doubt an amazing calculus textbook can be written with a running bicycle theme, with bicycle-based problems. But this book is not that book.]

ONLINE TEXTBOOKS

Thanks to the open source movement and a bunch of great math professors, we also have access to a host of online textbooks. Some of these online textbooks for Multivariable Calculus are below. They not only have varied presentations, but a host of exercises that I can use for my own class.

Geoge Cain and James Herod, Multivariable Caclulus

Gilbert Strang, Calculus (especially chapters 11-15)

Michael Corral, Vector Calculus

Jeff Knisley, Multivariable Calculus Online (weird formatting)

James Byrnie Shaw, Vector Calculus with Applications to Physics (from 1922)

Stephen Cowley, Vector Calculus

Oliver Knill, Multivariable Calculus

Carlos Rodriguez, Multivariable Calculus

Kenneth Kuttler, Many Variable Advanced Calculus and Math 214

Dan Sloughter, The Calculus of Functions of Several Variables (pdf)

MIT OPEN COURSEWARE (18.02)

MIT puts the materials (lecture notes, problem sets, exams, syllabi, etc.) for a number of their courses online. For the standard multivariable calculus course, there are two different sets of materials up:

Spring 2006 (Mattuck and Jerison): Assignments | Exams

Spring 2007 (Auroux): Lecture Notes | Assignments | Exams

MORE PROBLEM SETS / EXAMS / COURSE SITES

Phillips Exeter Academy puts their MV problem sets online here. (Problem Sets)

An honors multivariable calculus class from Swarthmore (Problem Sets)

Problem sets for Tessler’s Math 10C course (Problem Sets on course webpage)
Exams for Tessler’s Math 10C course (Midterm 1, Midterm 2) [from course webpage]

Davis Arnold’s multivariable calculus page [here]: uses MATLAB to explore multivariable calculus — with great tutorials and problems for each topic.

UC Berkeley’s Michael Hutching’s VIDEOS on MULTIVARIABLE CALCULUS [here]

cstitz42’s VIDEOS FOR MULTIVARIABLE CALC [here]

donnylee’s VIDEOS on MULTIPLE INTEGRALS [here]

letmeitellyou’s VIDEOS on MULTIVARIABLE CALCULUS [here]

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