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MATH 285: Practicum in Mathematics
0.50 - 3.00 Credits
Valparaiso University
Intensive professional experience and/ or technical training in a mathematics related field. A written report is required. S/U grade. Prerequisite: MATH 264 and consent of the chair.
Prerequisite:
MATH-264
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MATH 285 - Practicum in Mathematics
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MATH 290: Topics in Mathematics
1.00 - 3.00 Credits
Valparaiso University
Topics may include problem solving techniques, computer applications or topics from finite mathematics. Prerequisite: consent of the instructor.
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MATH 290 - Topics in Mathematics
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MATH 299: Mathematics Colloquium II
1.00 Credits
Valparaiso University
Students are required to attend sessions of MATH 499, participate in the activities and discussions of the colloquium, and give a presentation. Prerequisite: MATH 199.
Prerequisite:
MATH-199
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MATH 299 - Mathematics Colloquium II
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MATH 312: History of Mathematics
3.00 Credits
Valparaiso University
A study of the development of mathematics. This will usually be a survey of mathematics from earliest times to the present, though special topics may be chosen according to the interest of the class. Prerequisite: consent of the instructor.
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MATH 312 - History of Mathematics
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MATH 314: Elements of Geometry
4.00 Credits
Valparaiso University
Logic, axiom systems and models; consistency, independence and completeness; consideration of the foundations of Euclidean and non-Euclidean geometries; topics from projective and transformational geometries. Prerequisite: MATH 264.
Prerequisite:
MATH-264
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MATH 314 - Elements of Geometry
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MATH 320/520: Dynamical Systems
3.00 Credits
Valparaiso University
Theory and applications of mathematical models of dynamical systems (discrete and continuous). Topics include linear and non-linear equations, linear and non-linear systems of equations, bifurcation, chaos and fractals. Prerequisite: MATH 132. Offered in the fall semester of odd numbered years.
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MATH 320/520 - Dynamical Systems
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MATH 321/521: Mathematical Models of Infectious Disease
3.00 Credits
Valparaiso University
(Also offered as BIO 321.) An application of mathematical methods and concepts to the study of infectious diseases. Analysis of outbreaks and control methods (such as vaccinations), using differential equations and elementary matrix algebra. Prerequisite: MATH 131 and one of MATH 140, MATH 240, or PSY 201. This course is usually offered online during the summer semester.
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MATH 321/521 - Mathematical Models of Infectious Disease
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MATH 322/522: Optimization
3.00 Credits
Valparaiso University
Theory and computer algorithms for the solution of mathematical programming problems and applications. Topics include the simplex method, cutting planes, branch and bound methods and numerical methods for unconstrained optimization, game theory and dynamic programming. Prerequisites: MATH 234 or 264. Offered in alternate years.
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MATH 322/522 - Optimization
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MATH 323/523: Game Theory
3.00 Credits
Valparaiso University
The fundamentals of game theory are covered including dominance. Nash equilibria, and evolutionarily stable solutions. Various models of strategic games are explored and applications to economics, biology, and other disciplines are discussed. Prerequisites: MATH 131, and MATH 240. Usually offered during summer sessions.
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MATH 323/523 - Game Theory
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MATH 330/530: Partial Differential Equations
3.00 Credits
Valparaiso University
Theory of and solution techniques for Partial Differential Equations of first and second order, including the heat equation and wave equation in rectangular, cylindrical and spherical coordinates. Tools include Fourier series, Bessel Functions, Legendre Polynomials and transform techniques. Prerequisites: MATH 253 and (234 or 265). Offered in the spring semester of odd numbered years.
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MATH 330/530 - Partial Differential Equations
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