2015-2016 Undergraduate Academic Catalog

MATH-1990 3 hours Beautiful Math Structures and Thinking –Fa This course introduces freshmen math majors to interesting mathematical ideas and applications beyond the usual scope of standard math courses. Topics include an introduction to propositional logic, function theory, and infinite sets. Other topics will be chosen from elementary number theory, modular arithmetic, error-correcting codes, Fibonacci numbers and the golden ratio, fractals, discrete dynamical systems and chaos, Euler and Hamilton Circuits, democracy and impossibility theorems, game theory, the Platonic solids, n-dimensional space, and other topics up to the discretion of the instructor. MATH-2210 Logic and Methods of Proof –Fa 3 hours Introduction to formal mathematical logic; emphasis on preparing students for the abstraction of upper-division courses. Special attention is given to the development of students’ skills with a variety of methods of proof, using examples from numerous areas. Prerequisites: MATH-1720 Calculus II; MATH- 1990 Beautiful Math Structures and Thinking; or permission of instructor. MATH-2510 Discrete Math for Computer Science –Sp 3 hours An introduction to mathematical foundations of computer science, including propositional and predicate calculus, methods of proof, sets and relations, recurrences, graphs and trees, and program correctness and proofs. This course does not satisfy any requirements for the B.A. or B.S. in mathematics or the B.A. in integrated mathematics education. Prerequisite: MATH-1710 Calculus I. MATH-2710 Calculus III –Fa, Sp 3 hours Introduction to differential and integral calculus of several variables, multiple integrals, vector analysis, line integrals, and surface integrals. Prerequisite: MATH-1720 Calculus II or equivalent or permission of instructor. MATH-2740 Differential Equations –Fa, Sp 3 hours Study of the standard techniques employed in the solution of differential equations with emphasis on those arising from physical problems. Prerequisite: MATH-1720 Calculus II or equivalent. MATH-2800 LaTeX for Technical Documents –Sp 1 hour In this course students will be introduced to the typesetting language of LaTeX through the use of tutorials, example documents, and homework assignments. They will learn to easily prepare professional-looking theses, conference papers, and journal papers. They will also learn how to create professional- looking presentations, homework, quizzes, examinations, syllabi, resumés, and curriculum vitae. MATH-3050 4 hours Algebraic Structures for Secondary Education Majors –Fa An introduction to the basic ideas of number theory, abstract algebra, and linear algebra. Factorization of integers, congruence modulo m, Fermat’s Theorem, groups, rings, integral domains, fields, vector spaces, systems of linear equations, determinants and inverses, linear transformations, eigenvalues, and eigenvectors. Does not count toward B.A. or B.S. majors in mathematics. Prerequisites: MATH-2210 Logic and Methods of Proof. MATH-3110 Probability and Statistics I –Fa 3 hours Probability models, random variables, probability distributions, estimation, and hypothesis tests are studied from theoretical and practical viewpoints. Prerequisite: MATH-1720 Calculus II. GSCI-3010 Concepts in Middle School Science –Sp 4 hours This course highlights key concepts in middle school science by reviewing and extending concepts from previous science courses with an emphasis on the integration of earth sciences, physical sciences, and life sciences. Concepts addressed include the nature and history of science, the theories of biological and geological evolution, and cell theory. This course will include pertinent pedagogy for teaching stated concepts in a middle school setting. Three lectures and one laboratory session per week. Prerequisites: GBIO-1000 Principles of Biology; GSCI-1010 Principles of Earth Science. CHEM-1000 Principles of Chemistry (recommended) (Fee: $75) (even years) GSCI-3060 4 hours Environmental Science for Middle School Educators –Sp Introduction to the interdisciplinary study of the dynamic relationships that exist between the earth’s organisms and their environment and how human activity affects these relationships. Students will identify and analyze environmental problems both natural and human-made and identify and explore sustainable solutions to the problems. This course will include pertinent pedagogy for teaching environmental science in a middle school setting. Three lectures and one laboratory session per week. This course does not satisfy the general education requirement for biology. Prerequisites: GBIO-1000 Principles of Biology, GSCI-1010 Principles of Earth Science (Fee: $100) (odd years) Mathematics (MATH) MATH-1710 Calculus I –Fa, Sp 5 hours First course of a two-course sequence covering basic concepts of analytic geometry and single variable calculus. Includes limits, transcendental functions, derivatives, applications of the derivative, single variable integration with introduction to numeric integration techniques, applications of integration including some solutions of differential equations, and additional integration techniques. Prerequisite: GMTH-1030 Precalculus or equivalent; or permission of instructor. MATH-1720 Calculus II –Fa, Sp 5 hours The second course of a two-course sequence covering the basic concepts of analytic geometry and single variable calculus. Includes sequences, series, expansion of functions into Taylor and power series, conic sections, plane curves, parametric equations, polar coordinates, vectors and geometry in three-space, vectors, and vector calculus. Prerequisite: MATH-1710 Calculus I or equivalent or permission of instructor. MATH-1880 Topics in Calculus –Fa, Sp, Su 1–3 hours This course is for students who are attempting to transfer credit for MATH-1710 or MATH-1720 Calculus I and II when those transferred courses lack some of the topics contained in MATH- 1710 or MATH-1720. It requires full participation in a MATH-1710 or MATH-1720 course during the sections in which the student’s transferred course is found to be deficient or in a stand-alone course offered during Summer School I. Prerequisite: GMTH-1030 Precalculus or equivalent; permission of instructor. Corequisite: partial transfer credit for MATH-1710 and/or MATH-1720 or approved transient credit for a Calculus I or II course that will provide less than full credit for MATH-1710 or MATH 1720. Page 271 2015–16 Undergraduate Academic Catalog Course Descriptions GSCI-3010 – MATH-3110