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Course Criteria
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3.00 - 5.00 Credits
Single variable differential and integral calculus with supporting material from analytic geometry. Admission to the course is determined by high school mathematics courses successfully completed and by standardized testing scores. Prerequisite: MATH 120 or high school equivalent. Spring
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5.00 Credits
A continuation of calculus, including infinite series, vector calculus, partial differentiation, and multiple integrals. Prerequisite: MATH 130. MATH 231, Fall; MATH 232, Spring
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3.00 Credits
Descriptive statistics, probability, random variables, variance and standard deviation, various probability distribution, estimation and hypothesis, hypothesis testing, chi-square, t-tests, regression and correlation, and analysis of variance. Prerequisite: MATH 111-112 or equivalent. Fall/Spring
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3.00 Credits
Ordinary differential equations, with emphasis on the theory of linear differential equations. Some existence and uniqueness theorems proved, and special methods or types of equations with applications treated as time allows. Prerequisite: MATH 231- 232. MATH 351, Fall alternate years; MATH 352, Spring alternate years
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3.00 Credits
Groups and vector spaces precede the major emphasis: matrices and linear transformations. Other topics include determinants, equivalence relations on matrices, and canonical forms for linear transformations. Prerequisite: MATH 231-232.MATH 361, Fall; MATH 362, Spring
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4.00 Credits
(4 cr hrs) Plane geometry from an advanced viewpoint, including finite geometries. Includes a survey of projective geometry and non- Euclinean geometries. Prerequisite: MATH 231-232. Spring alternate years
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4.00 Credits
(4 cr hrs) A construction of the real number system from axioms for the natural numbers. The concept of isomorphic mappings plays a central role. The reals are introduced through Cauchy sequences or Dedekind cuts in the rationals, as the text may require, and either approach is used to develop various wordings of the completeness property. Special topics such as finite cardinal numbers, summation notation, decimal representation, or complex numbers are treated when time allows. Prerequisite: MATH 231-232. Spring alternate years
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3.00 Credits
Emphasis on the rigorous processes of analysis: proofs of limit theorems, properties of continuous functions, existence of integrals, and uniform convergence. Topics include point-set topology, Heine-Borel theorem, uniform continuity, theory of Riemann integration, infinite series, partial differentiation, implicit function theorems. Prerequisite: MATH 231-232. MATH 451, Fall alternate years; MATH 452, Spring alternate years
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3.00 Credits
Formal systems as groups, rings, integral domains and fields, with applications to number theory. Prerequisite: MATH 231- 232. MATH 461, Fall alternate years; MATH 462, Spring alternate years
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3.00 Credits
A survey of some revolutionary themes in the evolution of Mathematics throughout history. Resulting branches of mathematics such as Geometry, Number Theory, Algebra, Set Theory, and Analysis are presented and interconnected from a historical perspective. This course provides a capstone experience for the senior Mathematics majors while fulfilling the history requirement for secondary education in mathematics, and includes assignments to meet the SEWS senior writing requirement for a baccalaureate degree. Pre-requisites: MATH 451 and MATH 461. Spring
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