MTH 212 - Calculus III
The calculus of functions of more than one variable, partial differentiation, multiple integrals, polar coordinates, solid analytic geometry and vectors, and the calculus of vector-valued functions are covered. A specific calculator will be required of all students in this course. Students are advised to check with the Mathematics Department.
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 and Spring