MTH 212 - Calculus III
A course in multivariable calculus. Topics include three-dimensional space, vectors, parametric equations, polar coordinates, derivatives and integrals of vector-valued functions, functions of several variables, partial derivatives, multiple integrals, vector fields, and line integrals. A specific calculator may be required of students in this course. Students are advised to check with the instructor.
Prerequisite: MTH 211 with a grade of C or higher.
SUNY General Education: SUNY-M - Mathematics (SMAT)
MCC General Education: MCC-CT - Critical Thinking (MCT), MCC-QL - Quantitative Literacy (MQL)
Course Learning Outcomes
1. Perform vector operations.
2. Analyze functions of several variables represented numerically, graphically, or algebraically using the methods of calculus.
3. Apply the gradient to produce the directional derivative of a function of several variables.
4. Apply the gradient to produce the direction and magnitude of the maximum increase of the function at a given point.
5. Determine the critical points of a function of two variables.
6. Classify critical points as relative minima, relative maxima, saddle points, or none of these.
7. Compute multiple integrals.
8. Represent curves parametrically, implicitly, or explicitly.
9. Classify a given vector field as conservative or nonconservative.
10. Evaluate a line integral through a given vector field.
Course Offered Fall, Spring