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MATH 446: Probabilistic Models Oper Rsch
3.00 Credits
Indiana University of Pennsylvania-Main Campus
A survey of probabilistic methods for solving decision problems under uncertainty. Probability review, decision theory, queuing theory, inventory models, and Markov chains are covered. Uses technology to solve problems and interpret the results.
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MATH 447: Modeling and Simulation
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Construction and solution of mathematical models. Emphasizes applications in areas such as logistics, natural and social sciences, and manufacturing. Discrete and continuous system models are analyzed using mathematical and computer-based methods. An introduction to computer simulation. An introductory course in differential equations is recommended but not required.
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MATH 448: Intro to Financial Mathematics
3.00 Credits
Indiana University of Pennsylvania-Main Campus
A rigorous mathematical treatment of the theory associated with financial transactions is undertaken. Geometric series and other concepts are used to construct mathematical models for analytically pricing various financial securities based on the time value of money. Studies how to construct mathematical models for pricing cash flows and explores the equivalency of different cash flows. Includes a detailed study of interest theory and financial economics. Prepares students for the Society of Actuaries Financial Mathematics (FM) exam.
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MATH 450: Topics in Applied Comp Math
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Focuses on using computational methods to solve applied mathematics problems. Content varies from year to year. Students gain experience in solving practical problems, using various mathematical software packages, giving oral presentations, preparing technical reports, reading field-related journals, and integrating scientific visualization.
Prerequisite:
( MATH 171 and MATH 225 and ( COSC 343 or MATH 343 ) )
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MATH 456: Geometry--Mathematics Instruct
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Students become acquainted with an informal, intuitive approach to geometry. Activities and materials for teaching geometrical concepts to students are an integral part of the course.
Prerequisite:
( MATH 152 MATH 152 or MA 152
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MATH 456 - Geometry--Mathematics Instruct
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MATH 457: Number Theory-Math Instruction
3.00 Credits
Indiana University of Pennsylvania-Main Campus
An introduction to topics of elementary number theory including divisibility, prime numbers, factorization, binary numbers, modular arithmetic, identification codes, cryptography, Diophantine equations, Euclidean algorithm, and alternative algorithms. Explores curricular materials, resources, and activities relevant to teaching number theory at the middle and secondary levels.
Prerequisite:
( MATH 152 or MA 152 )
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MATH 458: Logic & Logic Games Elem/Mid
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Basic ideas, terminology, and notation of mathematical logic as well as games of strategy that involve logic. Engages in methods of reasoning and proof in games and in mathematics content. Explores curricular materials, resources, and activities relevant to teaching logic and reasoning at the elementary/middle level.
Prerequisite:
( MATH 152 or MA 152 )
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MATH 459: Technology--Elem/Mid Math Inst
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Develops the knowledge, skills, and perspectives required for using educational technology in teaching mathematics at the elementary/middle level. Hands-on experiences with technology are an important focus.
Prerequisite:
( MATH 152 or MA 152 )
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MATH 460: Technology in Math Instruction
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Provides preservice mathematics teachers with expertise in instructional technology for teaching mathematics. Emphasizes the integration of pedagogy and subject matter knowledge.
Prerequisite:
( COSC 205 or CO 205 )
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MATH 461: Discrete Mathematics--Instruct
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Topics in discrete mathematics, including systematic counting, graph colors, networks, and their applications, as well as the historical background and the role of discrete mathematics in today's world. Uses a problem-solving, hands-on approach to content. Explores curricular materials, resources, and activities relevant to teaching discrete mathematics at the Elementary/Middle Level.
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