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Mathematics (MAT)
Ann Cannon, Tony delaubenfels, James Freeman (chair), Edward Hill
Major: A minimum of 10 courses, nine of which are in Mathematics, including MAT 221 and 223; at least four additional 300-level courses, which include either 327 or 337 and exclude Individual and Group Projects; and also knowledge of a programming language (CSC 140 or equivalent), which the Department recommends be acquired by the end of the sophomore year.
Teaching Major : A minimum of eight course credits in Mathematics, to include MAT 221 and 223; at least four additional 300-level courses including MAT 327 and 331; knowledge of a programming language (CSC 140 or equivalent), and a grade point average in all Mathematics courses of at least 2.5. Students with other majors who intend to ask for certification in Mathematics as a second field must take MAT 327 and 331, and have a grade point average in all Mathematics courses of at least 2.5. In addition to the foregoing requirements, prospective teachers must also apply for admission to the Teacher Education Program (preferably at the start of their sophomore year) and complete a second major in Secondary Education described under Education.
112. Functions
Logarithmic, exponential, and trigonometric functions, and related topics. Prerequisite: three years of high school mathematics. (Mathematics)
141. Calculus I
Calculus of functions of one real variable and analytic geometry of two variables. Prerequisite: MAT 112 or three-and-one-half years of high school mathematics, including trigonometry. (Mathematics)
142. Calculus II
Continuation of Calculus I, including further techniques of integration, transcendental functions, and applications. Prerequisite: MAT 141.
143. Calculus III
Infinite series and vector analysis. Prerequisite: MAT 142.
221. Linear Algebra
Linear algebra, vector spaces, and linear transformations. Prerequisite: MAT 142.
223. Calculus IV
Calculus of functions of several variables. Prerequisite: MAT 143.
306. Numerical Analysis
Function approximation, error analysis, data fitting, iteration, and symbolic computation. Applications to the approximate solution of problems, including root-finding in non-linear equations, differentiation, integration, linear systems, and differential equations. Prerequisites: MAT 143 and 221, and CSC 140 or equivalent. Alternate years. Same course as CSC 306. deLAUBENFELS
327-328. Modern Algebra I & II
Formal systems of algebra (groups, rings, integral domains and fields) and their relations to other disciplines. Prerequisite: MAT 221. Alternate years. HILL
331. Fundamentals of Geometries
Various geometries and their evolution. Prerequisite: MAT 221. Alternate years. HILL
336. Differential Equations
Differential equations, existence theorems for solutions of differential equations, solution of systems of equations, and an introduction to stability theory. Prerequisites: MAT 143, 221. Alternate years. deLAUBENFELS or FREEMAN
337-338. Analysis I & II
Topics from the theory of functions of a real variable, including the implicit function theorem, the Riemann-Stieltjes integral, and convergence properties of functions. Prerequisites: MAT 143, 221. Alternate years. deLAUBENFELS
347-348. Mathematical Statistics I & II
Probability, random variables, sampling distributions, theory of estimation and hypothesis testing, linear and multiple regression, analysis of variance, and techniques for categorical data. Prerequisites: MAT 221 and 223. Alternate years. CANNON
390. Individual Project: see Courses 390.
480. Internship: see Courses 480.
Next: Mediaeval and Renaissance Studies
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Previous: Latin American Studies (LAS)protect
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