MATH& 163 - Calculus III

Credits: 5
The third course of a four-quarter calculus sequence. Introduces students to series representations of functions, as well as calculus concepts in higher dimensions. Topics include Taylor series, vectors, three-dimensional space and surfaces, vector-valued functions, multivariable functions, partial derivatives, and double integrals. Graphing calculator required. Previously MATH& 153.

Enrollment Requirement: MATH& 152 with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills
Course Fee: $2.00

Course Outcomes:
Students who successfully complete this class will be able to:

Represent functions as power series.
Use Taylor polynomials to approximate functions.
Graph and perform operations with 2D and 3D vectors, and apply vectors in geometry and science.
Write equations of lines and planes using vectors.
Represent three-dimensional points, surfaces, and equations using the Cartesian coordinate system.
Represent curves using vector-valued functions.
Compute and apply domain, limits, derivatives, and antiderivatives of a vector-valued function.
Determine domains, ranges, limits and continuity for multivariate functions.
Compute and apply partial derivatives.
Compute and apply double integrals.

Program Outcomes

Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
Translate data into various formats such as symbolic language, equations, graphs, and formulas.

College-wide Outcomes

Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.