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Course Criteria
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3.00 Credits
(Spring, Course Offered Every Year) An introduction to statistics for mathematically inclined students, focusing on the process of statistical investigations. Observational studies, controlled experiments, sampling, randomization, descriptive statistics, probability distributions, significance tests, confidence intervals, one- and two-sample inference procedures, linear regression. Statistical software will be used throughout the course. Credit in this course is not given to students who already have credit for MAT-245. Prerequisite: MAT-211.
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3.00 Credits
(Fall, Course Offered Every Year) This course is a study of logic and an introduction to various techniques of mathematical proof, including direct proof, indirect proof, and proof by induction. Students will be involved actively in the construction and exposition of proofs from multiple representations- visually, numerically, symbolically-and will present their reasoning in both oral and written form. Topics covered include sets and basic properties of the integers, rational numbers, and real numbers. Throughout the course, students will explore strategies of problem-solving and active mathematical investigation. After completing this course, a student would have an appropriate background for upper-level theoretical mathematics courses. Prerequisite: MAT 212 or Corequisite: MAT 212 with permission of the instructor.
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3.00 Credits
(Spring, Course Offered Every Year) An introduction to various topics chosen from combinatorics, propositional logic and graph theory. Topics include counting techniques, permutations and combinations, induction and recursion, Boolean algebra, planarity, minimal paths and minimum spanning trees. Recommended for middle grades and secondary mathematics licensure students. Also offered as CS-262. May be taken without prerequisites with department's consent. Prerequisites: MAT-141 and MAT-143 or MAT-144.
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1.00 - 2.00 Credits
(Fall, Course Offered Every Year) An independent study designed to complete the mathematics concentration for a Middle Grades [6-9] Licensure Program. The course is tailored for each student according to her mathematical background, and therefore may carry 1 or 2 semester hours credit. A student usually takes the course in conjunction with MAT-764, which is offered every fall. May not be counted toward a mathematics major or minor. Prerequisite: admission to the Teacher Education Program or permission of the instructor. Instructor's consent required.
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1.00 Credits
(Fall, Course Offered Every Year) Students work in teams to explore via computer various mathematical concepts. The experiment-conjecture-proof technique allows students to experience some of the excitement of discovering mathematics. During the lab period, the teams interact in a cooperative setting and discuss the meaning of what they are learning. All of the labs contain dynamical graphical displays which enhance the students' understanding of the topics studied. At the end of each experiment, students submit a written report describing their findings. Pre or Corequisite courses: MAT-211, 212 or 314.
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1.00 - 3.00 Credits
(Fall and Spring, Course Offered Every Year) This course will provide opportunities for freshmen and sophomores to participate in original research in mathematics. Students will submit findings in a formal written report and will give an oral presentation. Students will be expected to work approximately three hours per week on the research project for each semester hour of credit. May be repeated for a maximum of six credit hours.
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4.00 Credits
(Fall and Spring, Course Offered Every Year) A study of vectors in two and three dimensions, vector algebra, vector functions, vector calculus and multivariable calculus. This includes three-dimensional analytic geometry, partial differentiation and multiple integrals, line and surface integrals, Green's Theorem, Divergence Theorem, Stokes's Theorem and applications. Students will use technology for exploration and problem solving. May be taken without prerequisite with department's permission. Prerequisite: MAT-212.
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3.00 Credits
(Fall, Course Offered Every Year) A study of general algebraic systems. Topics covered will include relations, mappings, groups, rings, and fields. Group theory is emphasized. Prerequisite: MAT-250.
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3.00 Credits
(Fall, Even-Numbered Years Only) A course emphasizing Euclidean geometry and introducing hyperbolic, elliptic, and transformational geometries. Students will use methods of discovery, construction, and proof to study geometric systems. Prerequisites: MAT-250, 3 courses from MAT except MAT-130, MAT-141, MAT-143, MAT-144.
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3.00 Credits
(Fall, Odd-Numbered Years Only) The study of probability and statistical inference. Emphasis is placed on the theoretical development of probability distributions, discrete, continuous, and multivariate, and the sampling distributions used in statistical inference. Prerequisites: MAT-212 and either MAT-245 or MAT-248.
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