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Course Criteria
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3.00 Credits
This course provides a foundation in formal mathematics and theorem-proving. Topics include functions, relations, sets, simple proof techniques, Boolean Algebra, propositional logic, elementary number theory, the fundamentals of counting, recursion, and an introduction to languages (finite state machines). Prerequisite: Grade of C or higher in MATH 215.
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3.00 Credits
Second course of a four-session sequence. Focus on the use of integrals to solve a variety of practical problems. Topics include derivatives of exponential, hyperbolic, trigonometric functions and partial derivatives. Prerequisite: MATH 215 with a grade of C or higher.
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3.00 Credits
Third course of a four-session sequence. Topics include use of elementary integration, formulations, trigonometric substitutions, Cauchy’s and Taylor's formula, and polar coordinates. Prerequisite: MATH 226 with a grade of C or higher.
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3.00 Credits
Last course of a four-session sequence. Topics include multivariate calculus, infinite series, and differential equations. Prerequisite: MATH 235 with a grade of C or higher.
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3.00 Credits
Introduction to descriptive and inferential statistics. Topics include collection of data, numerical and graphical descriptive methods, linear correlation and regression, probability concepts and distributions, confidence intervals and hypothesis testing for means and proportions. Prerequisites: MATH 150 or MATH 170 or MATH 180; or MATH 215 and 226.
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3.00 Credits
This course is a continuation of Statistics I. Topics include hypothesis testing, regression, correlation, statistical decision theory, analysis of variance and nonparametric methods. Prerequisite: MATH 250.
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3.00 Credits
Two and three dimensional vectors, partial derivatives, multiple integrals, line and surface integrals. Prerequisite: MATH 222 or 245.
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3.00 Credits
Vector spaces, linear transformations, matrices and determinants, with applications to systems of linear equations, geometry, and other selected topics. Prerequisite: Grade of C or higher in MATH 215.
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3.00 Credits
Introduction of algebraic systems, their motivation, definitions, and basic properties. Primary emphasis is on group theory (permutation and cyclic groups, subgroups, homomorphism, quotient groups) and is followed by a brief survey of rings, integral domains, and fields. Prerequisites: Grade of C or higher in MATH 225 and MATH 226.
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3.00 Credits
The goal of this course is to provide a modern treatment of number theory. The student learns more about the integers and their properties, important number-theoretical ideas and their applications. The course emphasizes reading and writing proofs. Prerequisites: Grade of C or higher in both MATH 225 and MATH 226.
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