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Next: Medieval and Early Modern Up: Courses of Instruction Previous: Latin American Studies (LAS)
Mathematics (MAT)
Stephen Bean, Ann Cannon (chair), Tony deLaubenfels,
James Freeman
Major: Completion of the calculus sequence (MAT 141, 142, 143, and 223); MAT 221; at least four additional 300-level courses, which include either 327 or 337 and which exclude Individual Projects, Group Projects, and Internships; and completion of CSC 140. The department recommends that CSC 140, which provides knowledge of a programming language, be acquired by the end of the sophomore year. The number of courses required to complete the major depends on where a student places into the calculus sequence. For students starting in or receiving credit for Calculus I this will mean 10 credits, nine in mathematics.
Teaching Major:
Completion of the calculus sequence (MAT 141, 142, 143, and 223); MAT 221; at least four additional 300-level courses which include MAT 331 and either 327 or 337 and which exclude Individual Projects, Group Projects, and Internships; completion of CSC 140; and a grade point average in all Mathematics courses of at least 2.5. Students with other majors who intend to apply for certification in Mathematics as a second field must take MAT 331 and either 327 or 337, and have a grade point average in all Mathematics courses of at least 2.5. The department recommends that CSC 140, which provides knowledge of a programming language, be acquired by the end of the sophomore year. The number of courses required to complete the major depends on where a student places into the calculus sequence. For students starting in or receiving credit for Calculus I this will mean 10 credits, nine in mathematics. 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.
Minor: A minimum of five course credits in Mathematics which
include MAT 221, 223, and at least two 300-level Mathematics courses.
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, 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.
331. Fundamentals of Geometries
Axiomatic structures of two-dimensional geometry, with an emphasis on the history of the Euclidean parallel postulate and its alternatives. Additional topics may include projective geometries, finite geometries, coordinates and transformations, tilings, and higher-dimensional objects. Prerequisite: MAT 221. Alternate years.
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 and
221. Alternate years.
337-338. Analysis I & II
Topics from the theory of functions of a real variable, including limits and continuity, differentiation, theories of integration, and convergence properties of functions. Prerequisites: MAT 143 and 221. Alternate
years.
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
380. Internship: see Courses 280/380.
390. Individual Project: see Courses 290/390.
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