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MAT 336: Introduction to Differential Equations and Its Applications
4.00 Credits
University of Illinois at Springfield
This course is designed to fulfill the mathematics requirements for either mathematics majors or sciences. This course serves as an introduction to differential equations. Modeling with differential equations is also introduced throughout the course. Course Information: Prerequisites: MAT 116 (IAI Code M1 900-2) and MAT 332, both with grade C or better.
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MAT 336 - Introduction to Differential Equations and Its Applications
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MAT 400: Topics in Mathematics
1.00 - 4.00 Credits
University of Illinois at Springfield
Various topics; description changes according to topic offered. Course Information: May be repeated if topics vary. Prerequisites: See course schedule for prerequisites.
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MAT 400 - Topics in Mathematics
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MAT 401: History Of Mathematics
4.00 Credits
University of Illinois at Springfield
Introduction to the development of major mathematical concepts. History of computation, probability, algebra, geometry, trigonometry, and calculus. Evolution and changes in the rigor of mathematics from 1500 B.C. Biographies of male and female mathematicians are included. Course Information: Prerequisite: MAT 115 with a grade of C or better, or equivalent.
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MAT 401 - History Of Mathematics
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MAT 403: Abstract Algebra
4.00 Credits
University of Illinois at Springfield
Topics include group theory, rings, and fields. Course Information: Prerequisite: MAT 332 with a grade of C or better, or equivalent.
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MAT 403 - Abstract Algebra
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MAT 404: Geometry
4.00 Credits
University of Illinois at Springfield
A systematic study of the consequences of the parallel postulate in Euclidean and non-Euclidean geometries. Course Information: Prerequisite: MAT 332 with grade of C or better.
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MAT 404 - Geometry
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MAT 405: Introduction to Topology
4.00 Credits
University of Illinois at Springfield
Topology is the study of those properties of "space" that are preserved under continuous and bi-continuous mappings. Topics include: "Set Theory, Topological Spaces, Continuous Functions, Homeomorphisms, Product Topology, Metric Topology Connectedness and Compactness, Separation Axioms." Course Information: Prerequisite: MAT 403 with grade of C or better.
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MAT 405 - Introduction to Topology
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MAT 415: Advanced Calculus
4.00 Credits
University of Illinois at Springfield
Elementary ordinary differential equations. Special functions defined by power series and by integrals, Fourier series. Course Information: Prerequisites: MAT 217 with grade of C or better, or equivalent, and MAT 332 with grade of C or better.
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MAT 415 - Advanced Calculus
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MAT 416: Real Analysis
4.00 Credits
University of Illinois at Springfield
Rigorous treatment of the fundamental concepts of analysis for real functions of a single variable: topics include the real number systems, sequences and series, limits, continuity, derivatives, and the Riemann integral, sequences and series of functions. Course Information: Prerequisite: MAT 415 with grade of C or better.
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MAT 416 - Real Analysis
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MAT 420: Topics in Statistics and Probability
1.00 - 4.00 Credits
University of Illinois at Springfield
Various topics; description changes according to topic offered. Course Information: May be repeated if topics vary. Students may register in more than one section per term. Prerequisite: See course schedule for prerequisites
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MAT 420 - Topics in Statistics and Probability
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MAT 421: Statistical Methods
4.00 Credits
University of Illinois at Springfield
Introductory course for statistical analysis techniques. Topics may include review of basic statistics, multiple linear regression, analysis of enumerative data, analysis of variance, multiple comparisons, design of experiments, and analysis of covariance. Additional topics may be chosen from principal components, factor analysis, discriminant analysis, and nonparametric tests. Course Information: Prerequisite: Intermediate algebra with grade of C or better.
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MAT 421 - Statistical Methods
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