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Course Criteria
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3.00 Credits
Prerequisite: MATH 2255. Introduces the student to topics in probability, probability distributions, point estimation, confidence intervals hypothesis testing, linear regression and analysis of variance.
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3.00 Credits
Prerequisite: MATH 2255. Preparation in mathematical reasoning and proof-writing necessary for upper division course work in mathematics. Topics include logic, integers and induction, sets and relations, equivalence relations and partitions, and functions.
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3.00 Credits
Prerequisite: MATH 3101. An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.
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3.00 Credits
Prerequisite: MATH 2254. Basic counting principles: permutations, combinations, probability, occupancy problems, and binomial coefficients. More sophisticated methods include generating functions, recurrence relations, inclusion/exclusion principle, and the pigeonhole principle. Additional topics include asymptotic enumeration, Polya counting theory, combinatorial designs, coding theory, and combinatorial optimization.
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3.00 Credits
Prerequisite: MATH 2256. Theory and applications of matrix algebra, vector spaces, and linear transformations; topics include characteristic values, the spectral theorem, and orthogonality.
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3.00 Credits
Prerequisite: MATH 2201. Continues MATH 2201, with emphasis for teachers of grades P-8. Logic; real numbers; basic and transformational geometry; measurement, including the metric system; problem solving; methods and materials for teaching mathematics at the P-8 level.
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3.00 Credits
Prerequisite: MATH 2201. Provides special emphasis for teachers of grades P-8 on understanding of the fundamental concepts of algebra with particular attention to specific methods and materials of instruction.
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3.00 Credits
Prerequisite: MATH 3101. An axiomatic approach to algebrac structures. Topics include groups, permutations, homomorphisms, and factor groups.
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3.00 Credits
Prerequisite: MATH 3101. A study of elementary problems in number theory with topics from divisibility, congruences, residues, special functions, Diophantine equations, and continued fractions.
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3.00 Credits
Prerequisite: MATH 3101. Elementary theory of graphs and digraphs. Topics include connectivity, reconstructions, trees, Euler's problem, hamiltonicity, network flows, planarity, node and edge colorings, tournaments, matchings, and extremal graphs. A number of algorithms and applications are included.
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