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Math 23 Calculus III [4]
Instructor: Bruce Dodson
Current Course Catalog Description Vectors in space; partial derivatives; Lagrange multipliers; multiple integrals; vector analysis; line integrals; Green’s Theorem, Gauss’s Theorem. Prerequisite: MATH 22 or MATH 32.
Textbook J. Stewart, "Calculus, Early Transcendentals", 6th ed.
References None
Course Outcomes
Students should master the concepts and techniques of multivariable calculus, including the geometry of vectors and curves in the plane and in space, functions of several variables, partial derivatives, continuity and differentiability of functions of several variables, the gradient and its significance, local, constrained and unconstrained extrema, multiple integrals, line integrals, exactness and path independence, Green’s Theorem, surface integrals, Stokes’s Theorem and Gauss’s Theorem. See below, Major Topics Covered in the Course.
Prerequisites by Topic
Mastery of the concepts and techniques of single variable calculus as developed in Mathematics 21 and 22 (see course descriptions for Mathematics 21 and 22).
Major Topics Covered in the Course
Relationship between Course Outcomes and Program Outcomes The MATH 23 outcomes strongly support the following outcome:
A. An ability to apply knowledge of computing and mathematics appropriate to the discipline.
Assessment Plan for the Course The students take two midterms and a final examination. Homework is collected weekly and graded. There is also a quiz in recitation most weeks. |
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