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Course Criteria
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4.00 Credits
This is an introductory probability and statistics course designed primarily for math and science students with a Calculus background. Topics covered include descriptive statistics, probability and probability distributions, estimation, hypothesis testing, correlation and regression, and analysis of variance. (Prerequisite: MAT135)
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4.00 Credits
This course is a continuation of MAT145. Topics covered include a review of sequences and series, analytic geometry in three-dimensional space, vector calculus, partial differentiation, multiple integration, the Fundamental Theorems, and the related applications. (Prerequisite: MAT145)
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3.00 Credits
This course provides a systematic survey of Euclidean, hyperbolic, transformation, fractal, and projective geometries. Through the use of technology, the students are better enabled to construct, analyze, and prove. (Prerequisite: MAT125 or equivalent)
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3.00 Credits
This course introduces algebraic techniques in vector space. Topics include systems of linear equations, matrices, vector spaces, inner products, linear transformations, and the eigenvalue problem. (Prerequisite: MAT145 or consent of instructor)
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3.00 Credits
Topics in this course include mathematical induction, greatest common divisor, the fundamental theorem of arithmetic, prime and composite numbers, and congruency. Theory and problem solving are both emphasized and historical perspectives are examined. (Prerequisite: MAT135)
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3.00 Credits
The theory, solutions, techniques, and applications of ordinary differential equations will be discussed. A computer algebra system will be utilized to enhance the experience. Topics include first-order equations, higher order linear equations, and some numerical methods. (Prerequisite: MAT145)
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4.00 Credits
This course is a rigorous introduction to abstract algebra. Topics include mappings, groups, equivalence relations, isomorphisms, rings, and fields. (Prerequisite: MAT220)
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4.00 Credits
This course is a formal treatment of functions of a real variable. It covers the topology of the real line, sequences and series, and classic results in continuity, and differentiation. (Prerequisite: MAT220)
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2.00 Credits
Students in this seminar will explore a variety of exciting mathematics problems. The course will be offered every spring, but the topic will vary depending on the interests of the faculty member and the students. Students will sharpen their mathematical abilities by exploring an assortment of problem-solving strategies and clearly presenting generalized solutions. (Prerequisite: Permission of a faculty member in mathematics)
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1.00 - 4.00 Credits
There are a plethora of topics in mathematics an advanced student could explore such as Difference Equations, Combinatorics, Graph Theory, Chaos Theory, Optimization, Operations Research, or Cryptography to name a few. The opened ended course number allows for more than one such experience. The student will work with a faculty mentor to choose an appropriate course, number of credits, and assessment scheme.
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