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Nov 23, 2024
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MATH 2210 - Calculus III
This course examines three dimensional vectors and parametric equations, solid analytic geometry, moments and moments of inertia. The techniques of partial differentiation and multiple integration are included. It contains material necessary for the engineer or scientist to understand concepts and applications which involve more than two variables.
Credits: 4
Instructional Method Lecture
Prerequisites:
MATH 2205 - Calculus II with a grade of “C” or better
Minimum Student Competencies
Upon completion of MATH 2210 Calculus III, the student will:
- Solve problems containing two/three-dimensional vector operations and model physical phenomena with appropriate two/Three-dimensional vector solutions.
- Solve applications involving vector-valued functions.
- Solve partial derivatives and limits.
- Interpret applications involving partial derivatives, including maximums and minimums.
- Apply the applications of partial derivatives including tangent planes, linear approximations, gradient vectors, normal lines, and Lagrange multipliers.
- Integrate two-dimensional and three-dimensional integrals using functional coordinates.
- Integrate two-dimensional and three-dimensional integrals using cylindrical coordinates.
- Integrate three-dimensional integrals using spherical coordinates.
- Integrate line integrals
- Interpret line integrals in the context of a vector field.
- Apply the many theorems involving line integrals including Green’s Theorem.
- Solve Surface integrals using Stokes’ Theorem and the Divergence Theorem.
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