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MTH 2410: Calculus II
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 1410 with a grade of "C" or better, or Permission of instructorThis is a second course in calculus. The topics covered include techniques of integration, applications of the integral, introductory differential equations, and infinite series, including Taylor's series. All sections of the course will make integrated use of the software package Mathematica and/or a graphing calculator.
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MTH 2420: Calculus III
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 2410 with a grade of "C" or better, or Permission of instructorThis course in the calculus of functions of more than one variable includes the following topics: partial derivatives, definite integrals over plane and solid regions, vectors and their applications, and Green's Theorem and its generalizations. All sections of the course will make integrated use of the software package Mathematica.
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MTH 2530: Introduction to Mathematica
5.00 Credits
Metropolitan State University of Denver
2 (2 + 0) Prerequisite: MTH 2410 with a grade of "C" or better, or Permission of instructorThis course is an introduction to the mathematical symbolic manipulation software package Mathematica and its use in solving problem from calculus and matrix algebra. This course also presents familiar concepts from calculus from a new perspective in order to strengthen the students' mathematical understanding.
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MTH 2620: Integrated Mathematics II
5.00 Credits
Metropolitan State University of Denver
3 (3 + 0) Prerequisite: MTH 1610 with a grade of "C" or better, or Permission of instructorThis course continues the concept-oriented, integrated study of mathematical topics including those from algebra, geometry, statistics, and combinatorics. Students further deepen their mathematical understanding and their ability to justify solutions and analyze and communicate their reasoning about complex problems.
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MTH 3100: Introduction to Mathematical Proofs
5.00 Credits
Metropolitan State University of Denver
3 (3 + 0) Prerequisite: MTH 2410 with a grade of "C" or better, and Permission of the Department of Mathematical and Computer SciencesThis course is designed to introduce the student to mathematical proofs and abstract mathematics with topics in the predicate calculus, induction, well-ordering principle, sets, relations, and functions.
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MTH 3110: Abstract Algebra I
5.00 Credits
Metropolitan State University of Denver
3 (3 + 0) Prerequisite: MTH 3100 with a grade of "C" or better; or Permission of instructorThis course is a survey of the principle structures of modern abstract algebra, including introductions to the theories of groups, rings, integral domains, and fields. Each structure is introduced by examples, then basic properties are derived, and the appropriate applications are introduced.
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MTH 3130: Advanced Matrix Methods for the Physical Sciences
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 2410 with a grade of "C" or betterThis is a course in the principles and application of matrix methods, primarily to problems in the surveying and engineering fields. Topics include solving systems of linear equations, determinants, matrix algebra, vector spaces, eigenvalues and eigenvectors, orthogonality, nonlinear least squares and geodesy, and finite elements. A software package will be used in this course. Only one of the three courses MTH 2140, MTH 3130, or MTH 3140 can be counted in the mathematics major or minor.
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MTH 3140: Linear Algebra
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 3100 with a grade of "C" or better or Permission of instructorThis course is an introduction to the theory and application of vector spaces, linear transformations, matrix representations, eigenvalues, and eigenvectors. A software package will be used in this course. Only one of the three courses MTH 2140, MTH 3130, or MTH 3140 can be counted in the mathematics major or minor.
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MTH 3210: Probability and Statistics
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite/Corequisite: MTH 2410; or permission of instructor This is a course in the application and theory of the principles of probability and statistics in the sciences and engineering. It includes descriptive statistics, linear regression, probability, random variables and their distributions, estimation, and tests of hypotheses.
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MTH 3220: Design of Experiments
5.00 Credits
Metropolitan State University of Denver
4 (4 + 0) Prerequisite: MTH 3210 and either MTH 2140 or MTH 3140, all with grades of "C" or better, or Permission of instructorThis is a course in the application and theory of statistical methods in the sciences and engineering. It includes analysis of variance, factorial experiments, and regression analysis.
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