MATH 220 - Calculus III

Credit Hours: 4
Lecture Hours: 4
Laboratory (or Other) Hours: 0

General Education Code(s): 23MA
Prerequisite(s): MATH 215 or equivalent or MATH 210 and permission of the instructor
Corequisite(s): None
Restriction(s): None

This is a course in multivariable calculus. Technology is used extensively throughout the course (graphing calculators and a Computer Algebra System). Topics studied are functions and graphs of two or more variables, contour diagrams, vectors, differentiating functions of two or more variables, optimization, and multiple integrals.

Student Learning Outcomes of the Course: The General Education requirement for Mathematics and Quantitative Reasoning is satisfied by MATH 220. To meet this General Education requirement, students will be able to demonstrate mathematical skills and quanttative reasoning, including the ability to:

interpret and draw inferences from appropriate mathematical models such as formulas, graphs, tables, or schematics;
represent mathematical information symbolically, visually, numerically, or verbally as appropriate; and
employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.

Course-specific SLOs for MATH 220:

Recognize and graph functions of two variables using a computer algebra system
Interpret contour diagrams of two variable functions
Perform vector operations such as dot product and cross product
Compute first order and second order partial derivatives
Use Lagrange multipliers to solve constrained optimization problems
Integrate functions of two variables using rectangular, cylindrical and spherical coordinates
Use a computer algebra system to investigate various aspects of multi variable calculus

Repeatable: No