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Dec 11, 2024
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2022-2023 Yavapai College Catalog [PREVIOUS CATALOG YEAR]
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MAT 241 - Calculus III  MAT 2241.
Description: Multivariable calculus. Includes multiple integration, partial differentiation, optimization, vector calculus, line integrals, and parametric curves. Note: Computer use and graphing calculator required (TI-83/84 recommended).
Prerequisites: MAT 230
General Education Competency: Quantitative Literacy
Credits: 4
Lecture: 4
Course Content:
- Vectors
- Planes and surfaces
- Cylindrical and spherical coordinates
- Functions of several variables
- Partial differentiation
- Optimization
- Multiple integration
- Integration techniques
- Vector calculus
Learning Outcomes:
- Solve problems using vectors in 3-space. (1)
- Use equations of planes and surfaces to solve problems. (2)
- Solve problems using cylindrical and spherical coordinate systems. (3)
- Compute partial derivatives. (4,5)
- Compute extremes of functions of two variables. (4-6)
- Compute differentials, directional derivatives, gradients, and tangent planes. (4-6)
- Integrate multiple integrals. (7,8)
- Solve applied problems requiring multiple integrals. (8,9)
- Define and identify vector fields. (9)
- Compute line and surface integrals. (9)
- Use Divergence, Curl, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. (9)
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