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Course Criteria
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4.00 Credits
Modern axiomatic development of plane geometry and related systems. Includes investigation of finite geometry and hyperbolic geometry. Prerequisite: MATH 201 or 201B. Pre- or co-requisite: MATH 210. (4)
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4.00 Credits
A proof based class in which many of the results assumed in Calculus are proven. Topics include point set topology of real numbers, a rigorous treatment of limits for sequences and functions, continuity and differentiability. Prerequisites: MATH 203, 210, 211 and junior or senior status. Offered every Fall semester.
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4.00 Credits
Functions of one complex variable, analyticity, Cauchy-Riemann equations, derivatives and integrals of complex functions, complex series, and residue theory. Prerequisites: MATH 203, 210.
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4.00 Credits
An introduction to topology. Topics include open and closed sets, continuity, compactness, quotient spaces, and product spaces. Applications of topology may include metric topology, knot theory, classification of surfaces, and the fundamental group. Prerequisite: MATH 210. (4)
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4.00 Credits
A range of applied mathematics topics building on a foundation of linear algebra, differential equations, and discrete mathematics. Possible topics include optimization, numerical analysis, algorithm analysis and design, algorithms on graphs and trees, math modeling, dynamical systems, and statistical learning theory. May be taken more than once for credit with instructor's approval. Prerequisites: Take MATH 211; or take either MATH 201 or 201B with PHYS 309.
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4.00 Credits
Topics include a review of methods for solving linear systems; non-linear systems, Laplace transform and power series methods of solving equations; topics from partial differential equations; heat equation, Laplace's equation, wave equation, and Fourier series methods. Prerequisite: MATH 202.
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4.00 Credits
Machine learning is the study of algorithms that use data to make predictions. Such algorithms are at the heart of diverse applications like pattern recognition, spam filtering, web searching, data mining, and artificial intelligence. This course deals with the theory and application of machine learning techniques, including such topics as perceptrons, hyperplane classification and regression, decision trees, support vector machines as Lagrangian duals, conjugate gradient descent, backpropagation training for artificial neural networks, and linear and quadratic optimization.
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1.00 Credits
For teaching assistants in lower division mathematics problem-solving courses. A maximum of two credit hours of MATH 387 may be applied toward the major or minor. Prerequisite: consent of program director.
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1.00 Credits
A tutorial-based course used only for student- initiated proposals for intensive individual study of topics not otherwise offered in the Mathematics Program. Prerequisites: junior or senior standing and consent of instructor and school dean.
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1.00 Credits
Offers students the opportunity to integrate classroom knowledge with practical experience. Prerequisites: junior or senior standing (for transfer students, at least 15 hours completed at Westminster or permission of instructor), minimum 2.5 GPA, completion of the Career Resource Center Internship Workshop, and consent of program director and Career Center Internship Coordinator. REGISTRATION NOTE: Registration for internships is initiated through the Career Center website and is finalized upon completion of required paperwork and approvals. More info: 801-832-2590 https://westminstercollege.edu/about/resources/career-center/internships
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