What Are Some Different College-Level Math Courses?

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Some college-level math courses are calculus, mathematics for teachers, probability, mathematical statistics and higher mathematics. For many majors, only college algebra is required, but students in particular areas of study must take several math courses.

Most four-year colleges offer several calculus courses, many of which are geared to particular majors. Business students take business calculus, science and engineering students may take one or two courses of calculus designed for their specific major, and math majors choose from a number of calculus courses, including multivariable calculus, integral calculus and differential calculus.

Those students planning to teach elementary school take courses such as geometry for elementary school teachers, arithmetic for elementary school teachers and numbers, algebra and statistics for elementary school teachers. Such students must thoroughly understand the background to these subjects in order to teach the basic principles.

Introduction to probability teaches students about sample spaces, discrete and continuous random variables, distribution, and expectation among other topics. Though an introductory course, knowledge of calculus is necessary to take this class.

Introduction to mathematical statistics is another course that requires calculus as a prerequisite. Topics covered include sampling theory, point and interval estimation, testing hypotheses, and regression and correlation.

Transition to higher mathematics is an upper-level math course emphasizing writing mathematical proofs and covering such topics as logic, sets, functions, induction and cardinality. Students must have successfully completed higher levels of calculus to enroll.