2007-2008 Academic Catalog

School of Natural and Applied Science Science and Mathematics 222 Cedarville University 2007-08 Science and Mathematics CHEM-4310 Physical Chemistry I –Fa 4 hours A study of the laws of thermodynamics, chemical equilibrium, solutions, and kinetics. Three lectures and one three-hour lab per week. Prerequisites: CHEM-2210 Analytical Chemistry I; PHYS- 2120 General Physics II. (Fee: $100) CHEM-4320 Physical Chemistry II –Sp 4 hours A study of the states of matter, surface phenomena, quantum mechanics, bonding, and spectroscopy. Three lectures and one three-hour lab per week. Prerequisite: CHEM-4310 Physical Chemistry I. (Fee: $100) CHEM-4410 Advanced Inorganic Chemistry –Sp 3 hours Study of d-metal complexes, the systematic chemistry of the elements, and advanced topics in inorganic chemistry. Topics may include main group organometallics, d- and f-block elements, catalysis, and bioinorganic chemistry. Three lectures per week. Prerequisite: CHEM-3410 Inorganic Chemistry. CHEM-4800 Senior Seminar–Chemistry –Sp 1 hour Capstone course for majors in chemistry. Students present a paper from library or laboratory research. Before enrollment, each student must obtain approval of the topic from his or her advisor and the seminar instructor and set the date of presentation. The students must also attend a minimum of 10 seminars during the senior year. Guest lecturers or faculty members may present papers at the invitation of the instructor. Prerequisites: senior status; attendance of a minimum of 10 seminars during the sophomore and junior years. CHEM-4830 Research in Chemistry –Sp 3 hours Investigation of a chemical research project and its culmination in a scholarly research report. Submission and approval of a research proposal must precede registration. May be repeated once for credit. Prerequisites: CHEM-2800 Introduction to Research in Chemistry; CHEM-4310 Physical Chemistry I. (Fee: $150) CHEM-4880 Topics in Chemistry 1-3 hours Topics of special interest are selected by the chemistry faculty from the areas of modern chemistry. Prerequisites: CHEM-2210 Analytical Chemistry I; junior status; permission of instructor. CHEM-4900 Independent Study in Chemistry 1-3 hours Supervised independent study of some chemical phenomena. Submission and approval of a research proposal must precede registration. Prerequisites: CHEM-2210 Analytical Chemistry I; CHEM-3510 Organic Chemistry I; CHEM-4310 Physical Chemistry I. CHEM-4910 Chemistry Internship –Fa,Sp,Su 1-3 hours Students will gain experience in the chemistry profession in a departmentally approved work environment. A technical report detailing the skills and techniques utilized and a supervisor's evaluation will be the basis for successful completion. Prerequisite: CHEM-2220 Analytical Chemistry II or CHEM-3520 Organic Chemistry II. Mathematics 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-1990 3 hours Beautiful Math Structures & 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, resumes, 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 towards B.A. or B.S. majors in mathematics. Prerequisites: MATH-2210 Logic and Methods of Proof; MATH-1720 Calculus II.