Mathematics Courses

103 Mathematics for Elementary School Teachers. 4. Introduction to elementary school mathematics and its fundamental underlying concepts and structure with emphasis on problem solving, logical thinking, use of conjecture and exploration with concrete materials. Does not count toward the major. Restricted to education studies majors. Fulfills quantitative literacy requirement.

110 Mathematics for the Liberal Arts. 4. The nature of mathematics from cultural, historical and logical viewpoints, stressing relationships between mathematics and other disciplines. Recommended for humanities, fine arts and education majors. Does not count toward the major. Includes emphasis on basic quantitative skills. Fulfills quantitative literacy requirement.

112 Elementary Statistics. 4. Descriptive statistics; probability and probability distributions; sampling and sampling distributions; confidence intervals and hypothesis testing; correlation and regression analysis. Emphasis on application and interpretation. Recommended for social science and pre-professional majors; does not count toward the major. Fulfills quantitative literacy requirement.

115 Elementary Functions. 4. Pre-calculus analysis of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions. Does not count toward the major. Fulfills quantitative literacy requirement.

121 Calculus I. 4. Calculus of single-variable algebraic, exponential and logarithmic functions, emphasizing the concepts, techniques and applications of limits, differentiation and integration in both physical and geometric settings. Fulfills quantitative literacy requirement.

122 Calculus II. 4. Calculus of single-variable trigonometric and inverse trigonometric functions, with emphases as in MATH 121, but especially on integration and its applications. Numerical series. Prerequisite: MATH 121. Fulfills quantitative literacy requirement.

123 Accelerated Calculus. 4. Special course in calculus covering the content of MATH 121 and 122 in one semester for students having studied calculus previously. Fulfills quantitative literacy requirement.

212  Discrete Mathematics I. 4.  Algorithms, recursion, induction, sequences and series, combinatorics, counting techniques, particularly as related to the mathematics of computing. Fulfills quantitative literacy requirement.

225 Multivariable Calculus. 4. Power series and approximation. Calculus of functions of several variables including partial differentiation, multiple integration and vector analysis. Prerequisite: MATH 122 or 123. Fulfills quantitative literacy requirement.

231 Foundations of Mathematics. 4. Axiomatic development of an elementary mathematical system, stressing the logical nature and structure of mathematics. Fulfills quantitative literacy requirement.

232 Infinity, Undecidability, Non-computability (PHIL 293). 4. Algorithms, mathematical logic, axiomatization, completeness, consistency, constructing the number systems, Turing machines, Hilbert’s programme, the halting problem, infinities, the continuum hypothesis, Godel’s theorems, formalism, intuitionism, logicism, connections with artificial intelligence. Fulfills quantitative literacy requirement.

235 Geometry. 4. Topics chosen from Euclidean, hyperbolic, elliptic, projective, affine, etc., geometry emphasizing axiomatic development and/or physical application with content dependent upon student interest and background. Especially recommended for students interested in mathematics education. Prerequisite: MATH 231 or consent of instructor. Fulfills quantitative literacy requirement.

250 Special Topics. 4. May also be offered at 350 and 450 levels.

260 Independent Study. 1-4. May also be offered at 360 and 460 levels.

290 Internship, 1-4. May also be offered at the 390 level.

310 Probability and Statistics. 4. Fundamentals of the analysis and interpretation of statistical data, theory and application. Includes: descriptive statistics; probability; discrete and continuous random variables, their probability, density and moment-generating function; joint, marginal and conditional probability and density functions of several random variables; sampling distributions; estimation; hypothesis testing. Prerequisite: MATH 225. Fulfills quantitative literacy requirement.

320 Mathematical Physics (Phys 320). 4. Introduces students to mathematical techniques of particular importance to scientists and engineers. Topics include: complex numbers, Fourier series and the solution of differential equations (with special emphasis on harmonic oscillators). Both analytical and numerical methods are studied. Prerequisites: MATH 225 or permission of the instructor; PHYS 122 strongly suggested. Spring. Fulfills quantitative literacy requirement.

325 Linear Algebra. 4. Introduction to systems of linear equations, matrices, linear spaces and linear transformations, including applications of these concepts to other areas of mathematics and to other fields. Prerequisite: MATH 225. Fulfills quantitative literacy requirement.

335 Topology. 4. Topics in point-set, geometric, general or algebraic topology with content dependent on student and instructor interest. Suggested for majors emphasizing theoretical mathematics. Prerequisite: MATH 231. Fulfills quantitative literacy requirement.

412 Discrete Mathematics II. 4. Relations, graphs, trees, Boolean algebra, languages and grammars, finite-state machines and automata, Turing machines. Fulfills quantitative literacy requirement.

415 Numerical Analysis. 4. Techniques, theory, computer programming and application of approximations of zeros of functions, solutions to systems of equations, integrals and ordinary differential equations. Suggested for majors emphasizing applied mathematics or mathematical physics. Prerequisite: MATH 325. Fulfills quantitative literacy requirement.

430 Algebraic Structures. 4. Study of algebraic structures such as groups, rings and fields and their morphisms. Suggested for majors emphasizing theoretical mathematics or interested in mathematics education. Prerequisites: MATH 231 and 325. Fulfills quantitative literacy requirement.

435 Real Analysis. 4. Rigorous study of real functions including topics from limits, sequences, series, differentiation, integration. Suggested for majors emphasizing theoretical mathematics or mathematical physics. Prerequisites: MATH 225 and 231. Fulfills quantitative literacy requirement.

Mathematics Seminars

Seminars are provided to allow and encourage students and faculty members to pursue topics of mutual interest beyond the scope of regular classes. Seminars may be arranged as extensions of existing courses, as special topics courses, as undergraduate research projects or as honors projects. Students must prearrange seminars with faculty members on or before registration day; no student may register for a seminar without prior departmental approval. Seminars carry from one to four credits and may be repeated for credit with permission of the department.

275, 475 Seminar in Mathematics. 1-4. Lower- and upper-level seminars in selected topics. Prerequisite: consent of the department.

470 Senior Thesis. 4-8.

490 Departmental Honors. 4-8.