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Mathematics (MAT)
Stephen Bean, Ann Cannon, Tony deLaubenfels,
James Freeman (chair)
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; either INT 201 or, as part of the 300-level course requirement, the MAT 347-348 sequence; 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 and which statistics option is chosen. For students starting in or receiving credit for Calculus I and choosing to take MAT 347-348, 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.
110. On the Shoulders of Giants: Great Mathematical Ideas
Investigation of a variety of great mathematical discoveries past and present. The ideas investigated will not require significant previous mathematical background but will require the student to actively participate in the process of mathematical discovery. Only by doing mathematics can the creativity, beauty, and mathematical importance of these great ideas be understood. Specific content varies with the course instructor but may include subjects such as geometry, game theory, probability, number theory, the nature of infinity, chaos, and fractals. Prerequisite: two years of high school algebra. Recommended for non-mathematics majors. This course is not open to students who have taken MAT 141 or higher. This course does not count toward a Mathematics major or minor. (Mathematics)
112. Functions
Logarithmic, exponential, and trigonometric functions, and related topics. Prerequisite: three years of high school mathematics. (Mathematics)
141. Calculus I
Differential calculus of functions of one real variable including transcendental functions and an introduction to antiderivatives and differential equations. Prerequisite: MAT 112 or three and one-half years of high school mathematics, including trigonometry. (Mathematics)
142. Calculus II
Continuation of Calculus I with emphasis on the integral and its applications. Prerequisite: MAT 141.
143. Calculus III
Infinite series and vector analysis. Prerequisite: MAT 142.
221. Linear Algebra
Matrix algebra, vector spaces, and linear transformations. Prerequisite: MAT 142.
223. Calculus IV
Calculus of functions of real variables in two and three space, including vector calculus through Stokes' Theorem. 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 or TABAK
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. J.FREEMAN
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. BEAN
336. Differential Equations
This course is about how to predict the future. Mathematical modeling with differential equations, initial value problems and their approximate solutions, systems of differential equations, qualitative solutions, stability analysis and an introduction to chaos, and Laplace transforms. Prerequisites: MAT 142 and 221. Alternate years. deLAUBENFELS
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. BEAN
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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