Vector Calculus (MATH 223)
We offer an optional 1-unit supplementary instruction course, Math 196V, to accompany Math 223. This course develops problem-solving skills in a hands-on learning environment. Enroll now!
The Math Department offers free walk-in tutoring for Math 223 in the Math Teaching Lab room 121, Monday-Friday starting next Wednesday. Click here to see the schedule starting September 4.
A graphing calculator is required for Math 129. We recommend any model in the TI-83 or TI-84 series. Students are not allowed to share calculators during exams and quizzes.
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.
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.
COMMON FINAL EXAM INFORMATION
A common comprehensive final exam is given in all sections of Math 223 on Tuesday, December 17 from 1:00 - 3:00 pm.
Final Exam Information - coming in December
Final Exam Locations - coming in December
Math 223 demonstrations (Wolfram Project)
Dot Product (Paul Falstad)
Cross Product (Syracuse University)
Plotting surfaces and contours (Kaskosz & Ensley)
Plotting (MIT Open Courseware)
Vector Field Analyzer (Matthias Kawski - ASU)
3-D Vector Field Applet (Paul Falstad)
3-D Vector Fields (OR State University)
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.