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Mathematics Course Descriptions

  • MATH 103. Mathematics for Elementary School Teachers
    Credits: 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. Prerequisite: passing score on Guilford’s Quantitative Literacy test, passing grade in MATH 110, or another math course approved by the education studies department.
  • MATH 110. Mathematics for the Liberal Arts
    Credits: 4. The nature of mathematics from cultural, historical and logical viewpoints, stressing relationships between mathematics and other disciplines. Includes emphasis on basic quantitative skills. Recommended for humanities, fine arts and education majors. Does not count toward the major. Fulfills quantitative literacy requirement.
  • MATH 112. Elementary Statistics
    Credits: 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.
  • MATH 115. Elementary Functions
    Credits: 4. Pre-calculus analysis of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions. Does not count toward the major. Fulfills quantitative literacy requirement.
  • MATH 121. Calculus I
    Credits: 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.
  • MATH 122. Calculus II
    Credits: 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.
  • MATH 123. Accelerated Calculus
    Credits: 4. Special course in calculus covering the content of MATH 121 and MATH 122 in one semester for students having studied calculus previously. Fulfills quantitative literacy requirement.
  • MATH 150. Special Topics
    Credits: 4. May also be offered at 250, 350 and 450 levels.
  • MATH 212. Discrete Mathematics
    Credits: 4. Algorithms, recursion, induction, sequences and series, combinatorics, counting techniques, particularly as related to the mathematics of computing. Fulfills quantitative literacy requirement.
  • MATH 225. Multivariable Calculus
    Credits: 4. Power series and approximation. Calculus of functions of several variables including partial differentiation, multiple integration and vector analysis. Prerequisite: MATH 122 or MATH 123. Fulfills quantitative literacy requirement.
  • MATH 231. Foundations of Mathematics
    Credits: 4. Axiomatic development of an elementary mathematical system, stressing the logical nature and structure of mathematics. Fulfills quantitative literacy requirement.
  • MATH 232. Infinity, Undecidability, Non-computability (PHIL 293)
    Credits: 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.
  • MATH 235. Geometry
    Credits: 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 instructor permission. Fulfills quantitative literacy requirement.
  • MATH 260. Independent Study
    Credits: 1-4. May also be offered at 360 and 460 levels.
  • MATH 275. Seminar in Mathematics
    Credits: 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 the first day of classes; 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. 1-4. Lower- and upper-level seminars in selected topics. Prerequisite: permission of the department.
  • MATH 290. Internship
    Credits: 1-4. May also be offered at the 390 level.
  • MATH 310. Probability and Statistics
    Credits: 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.
  • MATH 320. Mathematical Physics (Phys 320)
    Credits: 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 instructor permission; PHYS 122 strongly recommended. Spring. Fulfills quantitative literacy requirement.
  • MATH 325. Linear Algebra
    Credits: 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.
  • MATH 335. Topology
    Credits: 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.
  • MATH 412. Discrete Mathematics II
    Credits: 4. Relations, graphs, trees, Boolean algebra, languages and grammars, finite-state machines and automata, and Turing machines. Fulfills quantitative literacy requirement.
  • MATH 415. Numerical Analysis
    Credits: 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.
  • MATH 430. Algebraic Structures
    Credits: 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 MATH 325. Fulfills quantitative literacy requirement.
  • MATH 435. Real Analysis
    Credits: 4. Rigorous study of real functions including topics from limits, sequences, series, differentiation and integration. Suggested for majors emphasizing theoretical mathematics or mathematical physics. Prerequisites: MATH 225 and MATH 231. Fulfills quantitative literacy requirement.
  • MATH 470. Senior Thesis
    Credits: 4-8.
  • MATH 475. Seminar in Mathematics
    Credits: 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 the first day of classes; 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. 1-4. Lower- and upper-level seminars in selected topics. Prerequisite: permission of the department.
  • MATH 490. Departmental Honors
    Credits: 4-8.