MATH 2415 - Calculus III

Credit Hours: 4
Contact Hours - Lecture: 4 Lab: 1
Advanced topic in calculus, including three dimensional coordinate systems, limits and continuity of multivariable functions, partial derivatives, directional derivatives, the gradient, extreme values, multiple integration, the calculus of vector valued functions and line and surface integrals. CIP Code: (2701016119)
Prerequisite: MATH 2414; College Level Readiness in Reading AND Writing
Student Learning Outcomes
1 - Perform calculus operations on vector-valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion. 2 - Perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals. 3 - Find extrema and tangent planes. 4 - Solve problems using the Fundamental Theorem of Line Integrals, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem. 5 - Apply the computational and conceptual principles of calculus to the solutions of real-world problems. 6 - Explore selected topics of solid analytic geometry pertaining to lines and planes. 7 - Use the cylindrical and spherical coordinate systems. 8 - Use three space vector operations. 9 - Acquire a graphic and algebraic understanding of quadratic surfaces. 10 - Analyze and apply the concepts of limits and continuity to multivariable functions.