**Sara Marie Bodenstein, MDiv., **Duke University**Clint Givens, Ph.D., **University of California at Los Angeles**David Kighuradze, Ph.D., **Oklahoma State University**Frank Wang, Ph.D., **Massachusetts Institute of Technology

This is the standard course that covers main concepts of differentiation and integration on functions of one real variable including related topics such as limits and infinite series. Definitions of derivative and integral are given along with main methods of computing derivatives and integrals. Some of the applications include maxima and minima problems, finding volume and surface area of solids of revolution, work and fluid force, and others. The course prepares students for the Advanced Placement exams (“AB” or “BC”) and for entry into most basic junior-level college mathematics courses.

*Prerequisites: Precalculus or satisfactory placement test score*

This course introduces the students to operations of differentiation and integration on functions of several real variables. Topics to be presented include parametric curves, vectors, vector functions, surfaces, gradient and directional derivatives, La Grange multipliers, multiple integrals, line and surface integrals.

*Prerequisites: Calculus*

This course covers various types of differential equations of first order and higher order with constant coefficients, systems of linear differential equations, inverse differential operators, the LaPlace transformation, power series solutions, and Fourier series solutions.

*Prerequisites: Calculus*

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calculus are proved. New topics needed in more advanced mathematical courses are covered, including uniform continuity of functions, point set theory, compactness, and uniform convergence. By permission of instructor.

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