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MAT 314: Abstract Algebra
3.00 Credits
Colorado Christian University
Axiomatic approach to the principle structures of modern abstract algebra, including introductions to the theories of groups, rings, integral domains, and fields. Appropriate applications introduced. Prerequisites: MAT 241.
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MAT 314 - Abstract Algebra
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MAT 325: Introduction to Discrete Mathematics
3.00 Credits
Colorado Christian University
Topics in discrete mathematics including graph theory, combinatorics, and linear programming. Emphasis will be placed on mathematical modeling of realistic problems using discrete processes. Prerequisites: MAT 312.
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MAT 325 - Introduction to Discrete Mathematics
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MAT 350: Internship
1.00 - 12.00 Credits
Colorado Christian University
Supervised experience in a professional setting. Pass/Fail; may be repeated for credit. Junior standing.
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MAT 350 - Internship
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MAT 352: Differential Equations
3.00 Credits
Colorado Christian University
First, second, and higher-order equations; systems, approximations, series methods, and applications in science. Prerequisites: MAT 242.
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MAT 352 - Differential Equations
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MAT 390: Directed Study
1.00 - 3.00 Credits
Colorado Christian University
Guided independent investigation of a topic selected in consultation with the major or minor advisor. See Academic Policies for guidelines. Dean's approval required. Graded; may be repeated for credit.
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MAT 390 - Directed Study
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MAT 410: Introduction to Abstract Mathematics
3.00 Credits
Colorado Christian University
Introduction to mathematical logic and techniques of formal proofs. Emphasis on enhancing student's ability to write and understand mathematical proofs. Rigorous approach to elementary topics such as sets, relations, and functions and introduction to number theory. Prerequisites: MAT 242, MAT 312.
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MAT 410 - Introduction to Abstract Mathematics
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MAT 420: Probability and Statistics
4.00 Credits
Colorado Christian University
Basic probability topics and statistical theory, focusing on data and the skills and mathematical tools needed to collect and analyze data. Elementary probability including the study of event trees, conditional probability, and Bayes' Theorem. Basic distributions (normal, binomial, chi square, exponential, poisson, etc.) used to model variability in data sets. Methods of statistical inference including parameter estimation and hypotheses testing. Prerequisites: MAT 241.
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MAT 420 - Probability and Statistics
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MAT 450: Internship
1.00 - 12.00 Credits
Colorado Christian University
Supervised experience in a professional setting. Pass/Fail; may be repeated for credit. Senior standing.
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MAT 450 - Internship
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MAT 455: Foundations of Geometry
3.00 Credits
Colorado Christian University
Axiomatic approach to Euclidean geometry via Hilbert's axioms; introduction to the historical development of non-Euclidean geometries and questions relating to the parallel postulate. Prerequisites: MAT 241.
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MAT 455 - Foundations of Geometry
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MAT 465: History of Mathematics
2.00 Credits
Colorado Christian University
History and development of mathematics with emphasis on understanding the distinctive nature of mathematical activity and its impact on society. Prerequisites: MAT 310.
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MAT 465 - History of Mathematics
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