Mar 07, 2026  
2025-2026 Catalog 
    
2025-2026 Catalog
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MATH 2415 - Calculus III



A continuation of MATH 2414 . Advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem.

Learning Outcomes: Upon successful completion, students will be able to:

  • perform calculus operations on vector-valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion;
  • perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals;
  • find extrema and tangent planes;
  • solve problems using the Fundamental Theorem of Line Integrals, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem;
  • and apply the computational and conceptual principles of calculus to the solutions of real-world problems.

Credit Hour(s): 4

Lecture Hour(s): 64

Prerequisite(s): MATH 2414 -Calculus II with a grade of C or better. 



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