Multivariable calculus. Includes Vectors and Geometry in Space, Vector-Valued Functions, Parametric Equations in 3D, Functions of Several Variables (Limits, Continuity and Differentiation), Multiple Integration (over 2D and 3D regions), Multivariate Optimization, Vector Fields, Line Integrals, and Green’s Theorem. Ideally, Divergence Theorem and Stokes' Theorem are also included.
Prerequisites: Calculus I and II. Note: Some campuses divide the topics described above for Calculus I, II and III into four semesters. For these courses to be guaranteed to transfer for a mathematics major, the student should take all four semesters to have covered the topics of Calculus I, II and III.
Core Courses are courses that fulfill lower-level requirements and apply to any transfer path major where they appear. Calculus III is universal course description, which maps to specific courses on SUNY campuses. Approved SUNY Transfer Path Core Courses are guaranteed to transfer to fulfill requirements in the major and/or required cognates (not just as electives) at all SUNY campuses if the course is completed with a grade of C or better.1 You may Search for Core Course equivalents using the Transfer Navigator.
1 While a grade of C or better is guaranteed, campuses can have different policies where they accept a passing grade lower than C. Pass/Fail courses may be accepted at the discretion of the campus, but transfer is not guaranteed.