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Course Criteria
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3.00 Credits
Students develop and use elementary logic and set theory to construct deductive proofs with relations, functions, and some algebraic structures. Topics include indexing, equivalence relation theory, and cardinality. Prerequisite: MATH 151 with a minimum grade of "C-."
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3.00 Credits
An introduction to differential and integral calculus for students majoring in business, accounting or the social sciences. The calculus is presented using a variety of real-world business and economic applications, stressing marginality, elasticity, and accumulation. Offered upon sufficient demand. Prerequisite: MATH 131 or MATH 140 with a minimum grade of "C-"; or Accuplacer College-Level Mathematics test score of 75 or above.
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4.00 Credits
Topics include techniques of integration, area computations, improper integrals, infinite series and various convergence tests, power series, Taylor's Formula, polar coordinates, and parametric curves. Prerequisite: MATH 151 with a mimimum grade of "C-."
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4.00 Credits
Topics include calculus of functions of several variables, differentiation and elementary integration, vectors in the plane and space. Prerequisite: MATH 251 with a minimum grade of "C-."
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3.00 Credits
A course designed to help Secondary Licensure Emphasis majors understand the core mathematical content of high school mathematics courses before calculus. These con- cepts are treated from an advanced standpoint, emphasizing connections and extensions. Topics include number systems, polynomial and transcendental functions, analytic geometry, theory of equations, and measurement. Prerequisite: MATH 151 with a minimum grade of "C-."
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3.00 Credits
Designed to develop programming skills appropriate for scientific and industrial applications. Emphasis is placed on problem modeling, algorithm development and data visualization. Standard techniques such as linear and non-linear equation solving, discrete difference equations and curve fitting are applied to typical industrial problems to give dynamic simulations. The use of a standard programming language, currently FORTRAN, and ancillary applications such as Maple, or a spreadsheet, allow the rapid prototyping required of industrial development. Prerequisites: CIS 190 and MATH 151 with minimum grades of "C-."
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1.00 - 6.00 Credits
Special Topics
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3.00 Credits
Designed to teach the basic principles of mathematical modeling and applied mathematics. Techniques from calculus, statistics, and probability are utilized to model real-world problems. Analytic and numeric tools are used to implement the models, obtain predictions and investigate underlying mechanisms. Topics include dimensional analysis, curve fitting, simulations, differential and difference equations. Prerequisites: MATH 251 and MATH 213 with minimum grades of "C-."
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3.00 Credits
An introduction to modern geometries. Topics include synthetic, analytic, vector, and transformational approaches to geometry. Classification of geometries, axiomatics, and the application of geometry may also be included. Prerequisite: MATH 220 with a minimum grade of "C-."
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3.00 Credits
A study of the theory and methods for solving ordinary differential equations. Prerequisite: MATH 251 with a minimum grade of "C-."
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