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MATH 220: Introduction to Advanced Mathematics
3.00 Credits
Western Colorado University
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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MATH 232: Applied Calculus for the Managerial and Social Sciences
3.00 Credits
Western Colorado University
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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MATH 251: Calculus II
4.00 Credits
Western Colorado University
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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MATH 251 - Calculus II
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MATH 252: Calculus III
4.00 Credits
Western Colorado University
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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MATH 266: Secondary Mathematics from an Advanced Perspective
3.00 Credits
Western Colorado University
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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MATH 266 - Secondary Mathematics from an Advanced Perspective
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MATH 275: Scientific Programming,Modeling and Simulation
3.00 Credits
Western Colorado University
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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MATH 297: Special Topics
1.00 - 6.00 Credits
Western Colorado University
Special Topics
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MATH 300: Introduction to Mathematical Modeling
3.00 Credits
Western Colorado University
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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MATH 330: Topics in Geometry
3.00 Credits
Western Colorado University
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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MATH 354: Differential Equations
3.00 Credits
Western Colorado University
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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