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Course Criteria
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3.00 Credits
An introduction to the basic concepts of topology in the setting of metric spaces and more general topological spaces. Topics include completeness, compactness, connectedness, continuous functions and continuity in terms of nets, Hausdorf spaces, Product spaces, metric spaces, Tychonoff Thereom, Bolzno-Weierstrass theorem, Stone- Weierstrass Theorem, and the Baire Category theorem. Pre: MATH 3301 or MATH 3110.
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3.00 Credits
This course explains how to reason and model using enumerative combinatorics and applied graph theory. It also stresses the systematic analysis of different possibilities, exploration of the logical structure of a problem, and ingenuity. Combinatorical reasoning underlies all analysis of computer systems. It plays a similar role in discrete operations research problems and in finite probability. Topics covered include generating functions, set partitions, recurrence relations, inclusion-exclusion, trees, graph connectivity, independence, and graph colorings. Additional topics will be chosen from Ramsey theory, planarity, matchings, Polya's Enumeration Formula and Hamiltonian and Eulerian graphs. Pre: Math 3301.
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3.00 Credits
Complex Analysis is the theory and applications of analytic functions of a single complex variable. Topics include: Taylor and Laurent series representation, Cauchy's integral theorem and formula, residue calculus, harmonic functions, zeros and poles, counting theorem, conformal mappings, linear functional transformations, Schwartz-Christoffel transformation, Laplace's equation, Poisson's equation, Neumann Problems, and the Fourier representation theorem. Pre: MATH 3450 or (MATH 3306 and 3007).
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3.00 Credits
Applied Mathematics I is the first course in a course sequence exploring analytical and numerical methods of solution in various mathematical and scientific areas. Topics include: solution of ordinary differential equations; solution of systems of ordinary differential equations; Laplace transform method; methods of applied linear algebra; and vector calculus. Pre: MATH 3306 or MATH 3307.
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3.00 Credits
Applied Mathematics II is the second course in a course sequence exploring analytical and numerical methods of solution in various mathematical and scientific areas. Topics include: complex variables; Fourier transform; partial differential equations; Laplace's equation; Laplace transform method; and equations of motion and fluids. Pre: MATH 3306 or MATH 3307.
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3.00 Credits
Material includes the advanced study of mathematical techniques, algorithms, and applications applicable to assist and improve decision-making in the management and behavioral sciences. The course focuses on both the techniques and the use of the computer in facilitating application of these techniques. Pre: CSCI 2912, MATH 1123, and MATH 2214.
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3.00 Credits
This course combines the study of mathematics problemsolving with practical classroom experience. Students will investigate the issues of teaching mathematics while gaining practical experience as tutors. Students will follow the progress of their own students in mathematics labs. Repeatable for a total of six credits. Pre: MATH 3301; MATH 3316 or consent of instructor.
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1.00 - 3.00 Credits
A course that offers actual work experience in Applied Mathematics in a professional setting. The practicum site and the individualized syllabus for each student must be approved by the Academic Coordinator for Mathematics. Supervision is provided by a professional on site and by a member of the HPU Mathematics faculty. Pre: Senior Status and GPA 2.7 or above.
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3.00 Credits
Practicum in Math student teaching. Pre: Instructor consent.
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3.00 Credits
The course focus is on improving comprehension, vocabulary, and reading.
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