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MATH 3137: Investigative Geometry and Measurement
3.00 Credits
Columbus State University
Prerequisite: MATH 1125 or MATH 1131 with a grade of C or better and admission to teacher education. An exploration of geometry and measurement topics through the use of a variety of tools. Course focuses on generating hypotheses and using deductive reasoning to test hypotheses. This course will not count for mathematics minors or majors or for secondary mathematics education majors.
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MATH 3138: Exploring Statistics
3.00 Credits
Columbus State University
Prerequisite: MATH 1125 or MATH 1131 with a grade of C or better and admission to teacher education. An exploration of various concepts in probability and statistics. Topics include experimental and theoretical probabilities, probability distributions, sampling, hypothesis testing, correlation and analysis of variance. Appropriate statistical software will be used in this course.
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MATH 3155: Foundations for Advanced Mathematics
3.00 Credits
Columbus State University
Prerequisite: MATH 1132 with a grade of C or better. Preparation in mathematical reasoning and proof-writing necessary for upper division course work in mathematics. Topics include fundamentals of logic, techniques of proof, sets and relations, equivalence relations and partitions, mathematical induction, and functions (including injectivity and surjectivity).
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MATH 3175: Introduction to Probability
3.00 Credits
Columbus State University
Prerequisite: MATH 1132 with a grade of C or better. Topics include counting techniques, discrete and continuous random variables, discrete, continuous and multivariate probability distributions, and functions of random variables. Appropriate uses of technology will be implemented to analyze data and to simulate random variables from specified probability distributions. Applications of probability.
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MATH 3555: Advanced Topics in Mathematics
3.00 Credits
Columbus State University
Prerequisite: MATH 3137 with a grade of C or better. An exploration of various selected topics in mathematics, such as polynomial functions, conics, right triangle trigonometry, limits, sequences, rate of change, discrete mathematical models, and iterative and recursive techniques. This course will not count for mathematics minors, or majors or secondary mathematics education majors.
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MATH 3556: Selected Topics in Mathematics
3.00 Credits
Columbus State University
Prerequisite: Consent of the instructor. This course provides an opportunity for faculty to propose study of topics not normally available to students in existing curricula. Topics for this course will vary.
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MATH 4195: Undergraduate Research
3.00 Credits
Columbus State University
Prerequisite: Math 3155 with a grade of C or better and consent of the Department Chair. Student selection of a research topic, completion of a written research proposal, and in association with a faculty mentor, the execution of the research plan. Each student will prepare both written and oral presentations of the work, and where appropriate, students will be encouraged to make presentations at regional or professional meetings, or submit work to a journal for publication.
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MATH 4555: Selected Topics in Mathematics for Teachers
3.00 Credits
Columbus State University
Prerequisites: MATH 1101 with a grade of C or better and MATH 1113 with a grade of C or better. Topics will be suitable for elementary and middle school teachers. Mathematics majors may not receive credit for this course.
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MATH 4795: Senior Seminar in Mathematics
2.00 Credits
Columbus State University
Prerequisites: MATH 3155 with a grade of C or better and Senior Standing. Readings and presentations in selected topics in mathematics. May be repeated for credit.
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MATH 5111: Introduction to Abstract Algebra
3.00 Credits
Columbus State University
Prerequisite: MATH 3155 with a grade of C or better. Groups, subgroups, group homomorphisms, and Lagrange's Theorem.
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