The Math Department offers free tutoring for Math 223, Monday-Thursday. Click here to see the schedule.
COURSE OBJECTIVES AND LEARNING OUTCOMES:
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.
Expected Learning Outcomes
Upon completion of this course, students should be able to:
Perform vector operations, determine equations of lines and planes, parametrize 2D & 3D curves.
Graphically and analytically synthesize and apply multivariable and vector-valued functions and their derivatives, using correct notation and mathematical precision.
Synthesize the key concepts differential, integral and multivariate calculus.
Evaluate double integrals in Cartesian and polar coordinates; evaluate triple integrals in rectangular, cylindrical, and spherical coordinates; and calculate areas and volumes using multiple integrals.
Use double, triple and line integrals in applications, including Green's Theorem, Stokes' Theorem, Divergence Theorem and Fundamental theorem of line integrals.
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.
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.
TECHNOLOGY TOOLS AND REFERENCE SHEETS
Math 223 demonstrations (Wolfram Project)
Dot Product (Paul Falstad)
Plotting surfaces and contours (Kaskosz & Ensley)
3-D Vector Field Applet (Paul Falstad)