Vector Calculus Main Menu

A List of Fall 1999 Sections of Math 223 at UofA and their Course Syllabi

Links to other web sites	A list of references on vector calculus
Programs for Vector Calculus	Email us: `vector@math.arizona.edu`

Course Notes by Kris H. Green

These course notes are designed to supplement the material in the text and the in-class notes your instructor provides. They are not a substitute for going to class. In fact, these notes are purposefully arranged in a different order than the text book. This is to help you make some of the connections between topics that you may not think about when reading the book in the order it is presented. Many of these notes are not in a format suitable for printing. It is best to utilize them as an on-line reading guide and not to waste paper printing the notes.

Block One: The Essentials of Vector Calculus This includes information on functions of one and many variables, vectors, vector fields and special functions.

Block Two: Derivatives and Rates of Change This block of material covers derivatives of single and multivariable functions as well as vector fields, approximations to functions, gradients and applications of derivatives.

Block Three: Integration in Many Variables Here you will find information on integrating one, two and three variable functions, performing flux integrals (including the divergence theorem) and changing to other coordinate systems.

Block Four: The Integral Theorems This includes topics like parameterized curves, line integrals, conservative vector fields, Green's theorem, and Stokes's theorem.

Helpful Material

This material is provided to give you an idea of how the course you are currently taking compares with previous semesters of the math 223 course at the University of Arizona. Included are many previous final exams, homeworks, and mid-term tests as well as summaries of the course and a glossary.

Homework Assignments This is a list of homework problems from the text used at UofA, as well as some homework projects and computer projects that could be utilized during the course.

Old Midterm Tests These are previous exams given by different instructors at the UofA.

Old Finals and Solutions These are previous final exams given by the UofA math department.

Summary of All Course Material This is an outline of the material covered in a typical vector calculus course with references to the sections of McCallum, et al. which are applicable.

A Reference of Coordinate Systems and Vector Formulas This is a brief overview of important facts about Cartesian, cylindrical and spherical coordinates, as well as vector calculus formulae which may be useful.

Glossary of Major Terms This is a dictionary of commonly encountered terminology. Eventually, this will be cross-refernced to the text material for ease of use.