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Course Criteria
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4.00 Credits
FALL-EVEN YEARS Prerequisite: MATH 360. The algebra and calculus of complex functions. Series, holomorphic maps, Cauchy's Theorem, applications.
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4.00 Credits
SPRING-ODD YEARS Prerequisites: MATH 241, 385. Mathematical theory of probability; discrete and continuous multivariate distributions, moment generating functions, proof and application of the central limit theorem. Theory of statistical inference: topics in estimation and hypothesis testing; maximum likelihood estimates, the Neyman Pearson lemma, likelihood ratio tests. Other selected topics.
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3.00 Credits
FALL-EVEN YEARS Prerequisites: MATH 385, 386, 485. Students will apply general theory from MATH 385, 386 and 485 to an area of statistics new to them. One or more advanced topics will be selected by the students in consultation with the instructor teaching the course, typically among the following: generalized linear models, categorical data analysis, time series analysis, survival analysis. The course will have a theoretical component dealing with mathematical aspects of the given topic(s), as well as a practical component typically taking form of a student project involving the analysis of a real-world data set.
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5.00 Credits
FALL/WINTER/SPRING [satisfies senior capstone university graduation requirement.] Prerequisites: MATH 390 and MATH 412 and senior standing or MATH 393 and senior standing. This course is a practicum for students majoring in Mathematics Education. The students will do a pre-student teaching classroom experience in an elementary, middle or high school mathematics classroom (three credits) and participate in a seminar (two credits). Lessons will be planned and taught. Emphasis will be on putting educational theory into practice and reflecting on the process, particularly in the areas of problem solving, the NCTM Standards, use of manipulative materials and assessment. The course will fulfill the Senior Capstone Course requirement for the BAE Math/Elementary and BAE Math/Secondary majors.
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5.00 Credits
SPRING Prerequisites: [(CPLA 100 and 101) or equivalent, senior standing; and MATH 225] or permission of the instructor. The course examines various problem solving strategies and techniques for teaching problem solving at the secondary level such as direct proof, indirect proof, inferences, mathematical representations and the use of technology.
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3.00 Credits
FALL Prerequisites: MATH 393 and MATH 370. Concurrent enrollment in MATH 370 is allowed. Concurrent enrollment in EDUC 341. This course is designed to address the development and evaluation of select content and process standards -geometry, measurement, statistics, probability, problem solving, connections and communication in the middle and high school. The course includes the use of traditional, technological and manipulative materials consistent with current theory and practice. Note: if through communication with your major and minor advisors you determine that taking MATH 493 concurrently with EDUC 341 will result in an overload, please contact the instructor of MATH 493.
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2.00 Credits
Prerequisites for students pursuing the BA in Mathematics: Prior or concurrent enrollment in MATH 462 and 432; for students pursuing the BAE Secondary: Prior or concurrent enrollment in MATH 360, 386, 432 and 493; for students pursuing the BA in Mathematics with a Computer Science option: Prior or concurrent enrollment in MATH 360, 345 and 385. The Senior Seminar course will explore the culture of mathematics through readings and classroom discussions. The students will be required to write a paper on some aspect of mathematics. At the same time, students will review the core mathematics they have studied and comprehensive tests will be administered in order to assess the knowledge they have acquired in their degree programs.
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1.00 - 5.00 Credits
Selected topics to be arranged in consultation with the requesting organization.
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1.00 - 5.00 Credits
Seminar
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1.00 - 5.00 Credits
Prerequisites: Permission of the instructor and the department chair.
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