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Course Criteria
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3.00 Credits
A continuation of the calculus of one variable. Differentiation and integration of the transcendental functions. Integration techniques, polar coordinates. Infinite series. Prerequisite(s): MTH 150 or MTH 130 (4,0) 4 credits Fall, Spring, Summer
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3.00 Credits
A continuation of Calculus I with Applications. Topics include techniques of integration, applications of the definite integral, multivariable calculus, and an introduction to Differential Equations. Applications are taken from technology, science and business. Problem solving is emphasized. A graphing calculator is required. Prerequisite: MTH 150 or MTH 130 (3,0) 3 credits Fall, Spring, Summer
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3.00 Credits
A study of the basic properties of vectors and vector spaces; linear transformations and matrices; matrix representations of transformations; characteristic values and characteristic vectors of linear transformations; similarity of matrices, selected applications. Prerequisite(s): MTH 151 or MTH 236 (3,0) 3 credits Fall, Spring, Summer
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3.00 Credits
An introduction to graph theory and combinatorial analysis. The emphasis is on problem solving and applications with some attention to theorems and proofs. Topics include Graph Models, Isomorphism, Planar Graphs, Circuits and Graph coloring, Trees, Minimal Spanning Trees, Arrangements and Selections, Generating Function and Inclusion/Exclusion. Note: Students completing this course may not receive credit for CMP250 Prerequisite(s): MTH150 Corequisite: MTH 245 (3,0) 3 credits Spring
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4.00 Credits
This is the third course of the calculus sequence. It generalizes single variable calculus to multivariable calculus. Functions of several variables are described numerically, graphically and algebraically. Topics to be covered: partial differentiation, multiple integration, vectors and vector fields, line integrals. Prerequisite(s): MTH 151 (4,0) 4 credits Fall, Spring
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4.00 Credits
This is an introductory course in ordinary Differential Equations designed to develop an understanding of the qualitative behavior of solutions and its relation to the process being modeled. Use of appropriate computer packages forms an integral part of the course. Topics to be covered: first order differential equations and systems, linear systems, applications including electrical circuits and vibrations, introduction to Laplace Transform. Prerequisite: MTH 252 (4,0) 4 credits Spring, Summer
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3.00 Credits
MTH 290 is intended to be a bridge course from lower-division mathematics courses to upper-division mathematics courses. Topics include Logic and Proofs, Set Theory, Relations, Functions (Onto, Oneto- One, Sequences as Functions), Cardinality, Introduction to Algebraic Structures, and Introduction to Concepts of Analysis. The focus will be on writing clear and precise proofs. Prerequisite(s): MTH 150, MTH 151 or the equivalent (3,0) 3 credits
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3.00 Credits
An investigation of the development of mathematics from ancient times to the present. Students will study topics which may include ancient mathematics (in particular, the Pythagorean Theorem and quadratic equations), Greek mathematics (Aristotle, Euclid, Archimedes, Appolonius, Ptolemy and Diophantus), medieval mathematics (China, India, Islam, Europe, America and Africa), early modern mathematics (logarithms, analytic geometry, probability and the beginnings of calculus), and modern mathematics (analysis, probability, number theory, abstract algebra linear algebra, non-Euclidean geometries, set theory, and topology). Each topic will be examined in the context of the time in which it was first used as well as how, when, and why it was further developed. A vital component of the course will be a study of the mathematicians who provided us with these tools which are an integral part of mathematical applications in today's world. Prerequisite(s): MTH 151 (3,0) 3 credits
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3.00 Credits
An axiomatic view of Euclidean and non-Euclidean geometry. The standard models of the various geometries will be constructed. Careful emphasis on proof construction and understanding. Applications of Euclidean and Hyperbolic geometries will be given. Prerequisite(s): MTH 151 or MTH 236 (3,0) 3 credits
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3.00 Credits
Topics to be covered: infinite series, First and Second Order Differential Equations and Applications, LaPlace Transforms, Taylor series, Homogeneous and Forced Response, applications; Matrices, simple Linear Equations involving Matrices, Solution of Systems of Linear Equations by Gauss-Elimination method. Prerequisite(s): MTH 236 or equivalent (3,0) 3 credits Spring
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