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# MATH 220 - Calculus III

Credit Hours: 4
Lecture Hours: 4
Laboratory Hours: 0

Prerequisite(s): MATH 215  or equivalent or MATH 210  and permission of the instructor

Restriction(s): None

Corequisite(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:  General Education SLO’s:

1. Students will demonstrate the ability to interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.
2. Students will demonstrate the ability to represent mathematical information symbolically, visually, numerically and verbally.
3. Students will demonstrate the ability to employ quantitative methods such as, arithmetic, algebra, geometry, or statistics to solve problems.
4. Students will demonstrate the ability to estimate and check mathematical results for reasonableness.
5. Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.

Course-specific SLO’s:

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