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Course Criteria
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3.00 Credits
Prerequisite: Math 113 Achieving maturity in mathematical communication. Topics include introduction to mathematical proof, analysis of proof, set theory, mathematical induction, logical reasoning, elementary number theory, and properties of relations and functions. (Fall, Winter, Spring)
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3.00 Credits
Prerequisite: Math 206 and either Math 240 or Math 301. Axiomatic treatment of fi nite geometries, transformation geometry, Euclidean and non-Euclidean geometries with emphasis on the historical signifi cance of the Parallel Postulate. (Winter, Spring)
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4.00 Credits
Prerequisite: Math 214 or 215 or the equivalent. Matrices, determinants, eigenvalues and eigenvectors, fi rst and second order ordinary differential equations, power series and Fourier series methods, systems of linear ordinary differential equations. Emphasis on methods and applications. Math 316 and Math 371 cannot both be taken for credit. (Fall, Winter, Spring)
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3.00 Credits
Prerequisite: FDMAT 110 Graphical representation of data, principles of experimental design, confi dence intervals, hypothesis testing, contingency tables, nonparametric tests, ANOVA, multiple comparisons, multiple regression, regression diagnostics, subset selection procedures, and some nonlinear regression models. (Fall, Winter, Spring)
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3.00 Credits
Prerequisite: FDMAT 112 Systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, vectors, vector spaces, linear transformations, and applications. (Fall, Winter, Spring)
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3.00 Credits
Prerequisite: Math 214, Math 341 Methods and theory of ordinary differential equations with applications. Differential operators, systems of linear ODEs, Laplace transforms and series methods. Math 371 and Math 316 cannot both be taken for credit. (Fall)
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3.00 Credits
Prerequisite: CS 144 and either Math 341 or Math 316. Math 301 preferred. Basic error analysis, complexity of algorithms, roots, interpolation, least squares approximation, curve fi tting, numerical differentiation and integration, and systems of linear equations. (Winter even years)
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3.00 Credits
Prerequisite: Math 411 and either Math 214 or Math 316 Methods of solving complex problems using numerical analysis and computer simulation. A variety of computing tools will be employed to study signifi cant problems of current interest. Topics may include graph theory, cryptography, random number generation, queuing theory, discrete optimization, parameter fi tting, fi nite element analysis, numerical PDE methods, etc. (Fall even years)
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3.00 Credits
Prerequisite: Math 321 and either Math 214 or 215 Probability theory, random variables, discrete and continuous distributions, limit theorems, estimation, hypothesis testing and power. (Winter)
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3.00 Credits
Prerequisite: Math 205, Math 240, Math 242 This course is for secondary education majors and minors. The course takes many of the topics taught in high school or junior high school math classes and treats those topics from a more advanced standpoint. In addition, topics from abstract algebra as they relate to teaching in the secondary schools will be addressed. (Fall, Winter)
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