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Course Criteria
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1.00 - 6.00 Credits
No course description available.
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3.00 Credits
Emphasis on standards for school mathematics, cognitively demanding tasks, and developing lesson plans, unit plans, and long-term plans. Focuses on problem solving as an effective instructional strategy for teaching mathematics in secondary schools. Addresses the importance of affect and motivation in the learning of mathematics. Examines the teaching and learning of Number and Operations, Measurement, Algebra, Functions, Trigonometry, and Modeling and incorporates content specific use of technology. Includes a teaching/field experience. PREREQ: Students must have completed 60 credits of course work and 18 credits in Math courses at the 200 level or higher one of which must be MATH243. RESTRICTIONS: Requires permission of the Committee on Secondary School Mathematics.
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4.00 Credits
Explores the evaluation and Selection of materials for teaching mathematics in secondary schools and developing unit plans and long-term plans, effective instructional strategies, and assessment. Addresses classroom management, equity, meeting the needs of all students, and establishing an effective learning environment. Stresses reasoning, proof, and communication. Examines the teaching and learning of Geometry, Probability & Statistics, Calculus, and Modeling and incorporates content specific use of technology. Includes a field experience. PREREQ: MATH379. RESTRICTIONS: Requires permission of the Committee on Secondary School Mathematics.
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2.00 Credits
Provides student teachers opportunities to reflect upon and discuss classroom teaching experience. Focuses on classroom management and other professional issues. PREREQ: MATH380 COREQ: EDUC400.
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3.00 Credits
A rigorous treatment of one variable calculus. Topics will include sequences of real numbers, limit theorems, monotone sequences, Cauchy sequences, Bolzano-Weierstrass Theorem, continuity, uniform continuity, differentiability and Riemann integral. A historical perspective on the development of these topics will be provided. PREREQ: MATH245
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3.00 Credits
Advanced topics in data science, with a focus on modern machine learning. Includes sophisticated mathematical formulations and analyses of methods, drawing on prior experiences from throughout the curriculum, as well as the use of software that implements the methods. Students are expected to work on open-ended projects and to communicate their findings clearly, using disciplinary-standard tools and style. PREREQ: MATH219, MATH243, MATH349, MATH350.
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3.00 Credits
Terminology of mathematical finance. Asset pricing and interest rate models. Discrete and continuous models for option pricing and fixed-income products. Discussion of various payoff structures, including path-dependent options. May include use of technology to simulate trading and pricing research. PREREQ: MATH302, MATH349, and either MATH350 or STAT470. RESTRICTION: Students who receive credit in MATH620 are not eligible to take this course without permission.
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3.00 Credits
Floating point numbers; conditioning and stability; LU, Cholesky, and QR factorizations; square and overdetermined linear systems; Newton and quasi-Newton root finding methods; piecewise polynomials for interpolation, integration, and finite differences; explicit methods for initial-value problems. PREREQ: MATH305 or MATH351 or MATH349. RESTRICTIONS: Requires familiarity with computing (e.g., programming language). Students who received credit in MATH353 are not eligible to take this course without permission.
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3.00 Credits
Eigenvalue and singular-value decompositions; power and Krylov subspace iterations; global interpolation and quadrature; methods for boundary-value problems and Poisson's equation; implicit solvers for stiff problems; method of lines for partial differential equations; diffusion and advection problems. PREREQ: MATH426 or CISC410 or MATH353.
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3.00 Credits
Introduction to mathematical aspects of statistics. Topics include exploratory data analysis, parameter estimation, maximum likelihood method, testing of hypothesis, confidence intervals and others. Includes application of a computer software package to perform data analysis. PREREQ: MATH350 or an equivalent course in probability
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