MATH& 254 - Calculus IV

Credits: 5
The fourth course of a four-quarter calculus sequence. Introduces students to functions of two and three variables; limits and continuity; partial differentiation; gradients; multiple integration; iterated integrals; vector analysis including such topics as divergence, curl, line integrals, and the fundamental theorems of vector calculus. Graphing calculator required.

Prerequisite: MATH& 153  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

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

1. Determine domains, ranges, limits and continuity for multivariate functions.
2. Compute and apply partial derivatives.
3. Compute and apply double and triple integrals.
4. Convert rectangular integrals into polar, cylindrical or spherical integrals.
5. Compute and apply line integrals.
6. Find the divergence and curl for vector fields.
7. Compute surface integrals using Stokes’ Theorem and the Divergence Theorem.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• 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.