# Vector Calculus (MATH 223)

The Math Department offers free online tutoring for Math 223, Monday-Friday. Click here to see the schedule.

## COURSE OBJECTIVES AND LEARNING OUTCOMES:

**Upon successful completion of this course, the student will be able to:**

Recognize and sketch surfaces in three-dimensional space;

Recognize and apply the algebraic and geometric properties of vectors and vector functions in two and three dimensions;

Compute dot products and cross products and interpret their geometric meaning;

Compute partial derivatives of functions of several variables and explain their meaning;

Compute directional derivatives and gradients of scalar functions and explain their meaning;

Compute and classify the critical points;

Parameterize curves in 2- and 3-space;

Set up and evaluate double and triple integrals using a variety of coordinate systems;

Evaluate integrals through scalar or vector fields and explain some physical interpretation of these integrals;

Recognize and apply Fundamental theorem of line integrals, Green’s theorem, Divergence Theorem, and Stokes’ theorem correctly.

## CALCULATORS

A graphing calculator is required for Math 223. We recommend any model in the TI-83 or TI-84 series. Students are not allowed to share calculators during exams and quizzes.

## HOMEWORK

Math 223 uses a computer grading program called WebAssign for textbook assignments. Logging into WebAssign can only be done through the WebAssign Login link in your Math 223 D2L site.

Additional homework and/or quizzes may be assigned by instructors. Be sure to check with your instructor.

Things to Know About WebAssign at the UA

## TEXTBOOK

Math 223 covers chapters 12 - 20 of *Multivariable Calculus*; 6th edition; McCallum, Hughes-Hallett, Gleason, et al.; Wiley.

The Textbook and WebAssign access for homework are being delivered digitally via D2L through the Inclusive Access program.

Inclusive Access Deadlines and Procedures

## GENERAL CALENDARS AND COURSE POLICIES

Individual course sections may deviate from the suggested calendar and policies. Be sure to check with your instructor.

## COMMON FINAL EXAM INFORMATION

**A common comprehensive final exam is given in all sections of Math 223 on Tuesday, December 15th from 1:00 - 3:00 pm. **

Fall 2020 Final Exam Information- *will be posted at a later date*

Final Exam Study Guide, Answers

## TECHNOLOGY TOOLS

Math 223 demonstrations (Wolfram Project)

Dot Product (Paul Falstad)

Cross Product (Syracuse University)

Plotting surfaces and contours (Kaskosz & Ensley)

Plotting (MIT Open Courseware)

Surfaces (JavaView)

Vector Field Analyzer (Matthias Kawski - ASU)

3-D Vector Field Applet (Paul Falstad)

3-D Vector Fields (OR State University)