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Mathematics (MAT)

 

Edward Hill (chair), Ann Cannon, Tony deLaubenfels, James Freeman

Major: Mathematics 221 and 223; at least four additional 300-level courses, which include either 327 or 337 and exclude Individual and Group Projects; and 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 8 course credits in Mathematics, to include 221 and 223, at least four additional 300-level courses including Mathematics 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 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.

209. Mathematical Statistics I
Introduction to the mathematical theory of probability and statistical inference. Topics include descriptive statistics and data analysis, probability distributions of random variables, sampling distributions, and an introduction to estimation and hypothesis testing. Prerequisite: MAT 142. CANNON

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
Same course as CSC 306. (See Computer Science for complete course description). Prerequisites: MAT 143, 221, CSC 140 or equivalent. Alternate years: 1994-95. TABAK

309. Mathematical Statistics II
Continuation of the theory of statistical inference. Topics include estimation and hypothesis testing on two or more samples, regression, analysis of variance, and robust procedures. Prerequisite: MAT 209. Alternate years: 1995-96. CANNON

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: 1995-96. FREEMAN

331. Fundamentals of Geometries
Various geometries and their evolution. Prerequisite: MAT 221. Alternate years: 1994-95. 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: 1995-96. 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: 1994-95. deLAUBENFELS

390. Individual Project

480. Internship


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