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Course Criteria
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3.00 Credits
Topics include the role of mathematics in contemporary society, career opportunities, mathematical notation and argument, structure of proofs, basic facts about logic, mathematical proofs, problem-solving techniques, and introductions to mathematical software packages.
Prerequisite:
MAT 200 requires a prerequisite of C or better in MAT 161. Course should be taken by the end of sophomore year.
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4.00 Credits
This course is designed to survey concepts from calculus and linear algebra that are relevant to the study of applied statistics. Topics include a review of differentiation and the Fundamental Theorem of Calculus, techniques and applications of integration, infinite series, partial derivatives, multiple integrals, matrix operations, linear transformations, and eigenvectors.
Prerequisite:
MAT 243 requires a prerequisite of a C or higher in MAT 143 or MAT 161 or equivalent.
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4.00 Credits
The calculus of several variables. Topics include polar coordinates, vectors and three-dimensional analytic geometry, differentiation of functions of several variables, multiple integrals, and line and surface integrals.
Prerequisite:
MAT 261 requires a prerequisite of MAT 162 with a C or better.
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3.00 Credits
This course addresses how modern science began in the 17th century by examining its origins and including introductions to the heroes of science - Copernicus, Kepler, Galileo, and Newton.
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3.00 Credits
In this course we will explore several social issues and we will discuss methods which can quantitatively illustrate that are taking place. By doing so, the hope is that each student will learn mathematical skills and techniques. This tool kit of basic mathematical skills is often referred to as Quantitative Literacy (QL). Moreover as attainment of QL is itself a social justice issue, we will explore ways to carry these skills to historically marginalized groups through service learning projects.
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3.00 Credits
An introduction to linear algebra. Topics covered include matrices, systems of linear equations, vector spaces, linear transformation, determinants, eigenvalues, spectral theorem, and triangulation.
Prerequisite:
MAT 311 requires Concurrent or Prerequisite of MAT 162
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3.00 Credits
Formal structure of groups, rings, and fields with examples from the elementary curriculum. Topics from linear algebra including matrices, determinants, and linear programming.
Prerequisite:
MAT 312 requires prerequisite of MAT 102
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3.00 Credits
Modern informal approach to two- and three-dimensional geometric figures, measurement, similarity, congruence, coordinate geometry, and the postulational method.
Prerequisite:
MAT 313 requires prerequisite of MAT 102
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3.00 Credits
An introduction to linear algebra and differential equations. Topics include matrices, vector spaces, linear dependence, determinant, eigenvalues and eigenvectors, ordinary differential equations, initial value problems, and systems of linear ordinary differential equations. Applications to physics and engineering will be emphasized.
Prerequisite:
MAT 315 requires a prerequisite of C or better in MAT 162.
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3.00 Credits
Introduction to set theory, graph theory, and combinatorial analysis. Includes relations, cardinality, elementary combinatorics, principles of inclusion and exclusion, recurrence relations, zero-one matrices, partitions, and Polya's Theorem.
Prerequisite:
MAT 321 requires prerequisites of C or better in MAT 162 and MAT 200.
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