Vector Calculus (MATH 223)
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.
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.
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.
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)