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Course Criteria
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3.00 Credits
A course designed to provide the student with the mathematical background needed for calculus. Three main areas of mathematics will be thoroughly studied: the real numbers; the coordinate plane; an introduction to analytic geometry; and functions, polynomials, rational functions, trigonometric functions, exponential and logarithmic functions. Throughout the course, a particular emphasis will be placed on graphing, word problems, basic equations and formulas, and applications.
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3.00 Credits
A study of theory of limits, continuity of a function; derivative of a function; applications of derivatives. Prerequisite: four years of high school mathematics or the consent of the instructor.
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3.00 Credits
A study of antiderivative and definite integrals of a function, applications. Prerequisite: MAT 131 or the consent of the instructor.
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3.00 Credits
Parametric equations, polar/spherical coordinate systems. Calculus of several variables; min/max., applications, multiple integrals. Prerequisite: MAT 132 or the consent of the instructor.
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3.00 Credits
A study of vector spaces, linear transformations, and matrices.
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3.00 Credits
A proof-oriented course with emphasis on sound understanding of basic principles of analysis. Topics discussed will include the real number system, functions of one and several variables, vectors and vector fields, linear transformations. Prerequisite: MAT 203 or the consent of the instructor.
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3.00 Credits
A study of fundamental theory of projective spaces and of their groups of linear transformations: projective, affine, similarity, Euclidean, and non-Euclidean geometry. Prerequisites: MAT 205 or consent of the instructor.
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3.00 Credits
A study of existence theory, linear differential equations, systems of differential equations, and boundary value problems. Numerical and series solution methods. Applications. Prerequisites: MAT 203-205.
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3.00 Credits
A study of round-off error, interpolation, solution of linear systems of equations, matrix inversion, numerical integration, numerical solution of differential equations. Emphasis on the theoretical basis of these methods and solution of problems on a computer. Prerequisite: MAT 309 or the consent of the instructor.
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3.00 Credits
An introduction to theoretical probability and mathematical statistics. Topics considered will be sample spaces, conditional probability, probability distributions, sampling theory, estimations, and hypothesis testing. Prerequisite: MAT 132.
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