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Course Criteria
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3.00 Credits
An integrated review course in pre-calculus algebra and trigonometry covering function concepts and symbols, rectangular coordinates, linear and quadratic functions, polynomial and rational functions, trigonometric functions, inequalities, systems of equations, complex numbers and analytic geometry. Prerequisite: Passing score on math placement exam and high school trigonometry or equivalent. Fall, Spring.
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3.00 Credits
Topics from contemporary mathematics, their development, applications and role in society. Some typical topics, to be chosen by the instructor include graph theory, mathematical finance, critical path analysis, statistical inference, coding, game theory and symmetry. Applications are in the management, natural and social sciences. Prerequisite: Successful score on mathematical placement exam or the equivalent. Fall, Spring.
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3.00 Credits
Mathematics of finance, linear equations, inequalities and mathematical models with emphasis on applications. Prerequisite: Successful score on mathematical placement exam or the equivalent. Fall, Spring.
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3.00 Credits
Limits, continuity, differentiation, integration and applications of both differentiation and integration. Prerequisite: Passing score on the mathematics placement exam or Math 1331 or the equivalent. Fall, Spring.
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3.00 Credits
Transcendental functions, techniques of integration, applications of integration, parametric equations, polar coordinates, infinite sequences and series. Prerequisite: Grade of "C" or better in Math 1431 . Fall, Spring.
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3.00 Credits
An informal but logical development of the most common geometry of points, lines, plane figures and solids. Practical proof, visualization and synthesis of topics are emphasized. Applications to analytic geometry and trigonometry are included. Spring
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3.00 Credits
Students are introduced to the application of computers to engineering and scientific problems using modern computational packages and a high level programming language. Data representation, software design and utilization, structured programming and numerical algorithms are introduced through student programming projects. Prerequisite: MATH 1431 with a grade of "C" or better. Spring.
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3.00 Credits
Methods of proof (direct, contradiction, conditional, contraposition); valid and invalid arguments. Examples from set theory. Quantified statements and their arguments. Functions, indexed sets, set functions. Proofs in number theory, algebra, geometry and analysis. Proofs by induction. Equivalence and well-defined operations and functions. The axiomatic method. Prerequisite: Math 1432 with a grade of "C" or better. Spring.
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3.00 Credits
Basic concepts, theory, methods, and applications of ordinary differential equations. Prerequisite: MATH 1432 with a grade of "C" or better. Fall, Spring.
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3.00 Credits
Vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, Green s Theorem, curl and divergence, Stokes Theorem, The Divergence Theorem. Prerequisite: Math 1432 with a grade of òCó orbetter. Fall, Spring.
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