Sep 09, 2024
2019-2020 Catalog
 Select a Catalog 2024-2025 Catalog 2023-2024 Catalog [ARCHIVED CATALOG] 2022-2023 Catalog [ARCHIVED CATALOG] 2021-2022 Catalog [ARCHIVED CATALOG] 2020-2021 Catalog [ARCHIVED CATALOG] 2019-2020 Catalog [ARCHIVED CATALOG] 2017-2019 Catalog Addendum [ARCHIVED CATALOG]
 HELP 2019-2020 Catalog [ARCHIVED CATALOG] Print-Friendly Page (opens a new window) Add to Portfolio (opens a new window)

# 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.

Program Outcomes
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.

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.

Add to Portfolio (opens a new window)