2010-2011 Undergraduate Academic Catalog

Page 251 2010–11 Undergraduate Catalog Introduction Admissions Academic Information Academic Departments Course Descriptions Financial Information Appendix Index MATH-3750 Introduction to Dynamical Systems –Sp 3 hours Topics include one-dimensional flows and bifurcations, phase portraits, linearization and classification of equilibrium points, limit cycles, chaos, one-dimensional maps, and fractals. Prerequisite: MATH-2740 Differential Equations. (even years) MATH-3760 Numerical Analysis –Sp 3 hours Analysis of computational error, solutions of equations of one variable, interpolation, numerical differentiation and integration, finite difference methods for solving ordinary differential equations, solving linear algebraic systems, and least squares approximations. Prerequisite: CS-1210 C++ Programming; MATH- 2710 Calculus III; MATH-2740 Differential Equations. (odd years) MATH-3800 Research Methods –Sp 1 hour This course will introduce the mathematics major to the various resources and methods available for researching topics in mathematics. This could include the use of library resources at Cedarville University, use of Internet resources, WWW searches, and a tour of the library at a larger university, where journals and indices of importance can be referenced. Prerequisites: MATH-2210 Logic and Methods of Proof; ENG-1400 English Composition. (Fee: $50) MATH-4110 Probability and Statistics II –Sp 3 hours Second course of a two-course sequence covering basic concepts of statistics. Topics chosen from the following: hypothesis tests, regression analysis, quality control, and non-parametric statistics. Prerequisites: MATH-3110 Probability and Statistics I. MATH-4210 Mathematical Methods for Physicists –Fa 3 hours Advanced mathematical methods used in the solution of physics problems. Topics include curvilinear coordinates, vector analysis, and solutions to partial differential equations using Fourier, Bessel and Legendre functions. Prerequisites: MATH- 2710 Calculus III; MATH-2740 Differential Equations. (even years) MATH-4410 3 hours Euclidean and Non-Euclidean Geometry –Sp Rigorous treatment of the foundations of Euclidean geometry; an introduction to hyperbolic geometry with emphasis on its Euclidean models. Prerequisites: MATH-2210 Logic and Methods of Proof. MATH-4450 Topology –Fa 3 hours An introduction to elementary point set topology with emphasis on illustrating how the familiar concepts of closed and open intervals, continuity of functions, distances, and various geometrical properties have been generalized from classical mathematics. Topics include: metric spaces, topological space theory, separation axioms, covering properties, compactness, connectedness, metrizability, and complete metric spaces. Prerequisite: MATH-2210 Logic and Methods of Proof. (even years) MATH-4610, 4620 Abstract Algebra I and II –Fa, Sp 3 hours/sem Introduction to and development of the basic ideas of algebraic systems, groups, rings, integral domains, fields, and other advanced topics. Prerequisite: MATH-2210 Logic and Methods of Proof. (even years) MATH-4710, 4720 Real Variables I and II –Fa, Sp 3 hours/sem Introduction to the real number system’s algebraic order, completeness, and cardinality properties, the topology of Cartesian spaces Rn and functions including continuity and uniform continuity, connectedness, convexity, compactness, various types of convergence, limits, differentiability, and Riemann integration, measurability, and Ln. Prerequisites: MATH-2210 Logic and Methods of Proof. (odd years) MATH-4800 3 hours Capstone Experience in Mathematics –Fa, Sp The course will allow students to deeply research an important topic in mathematics, both individually and collectively, and to present their findings from library research as well as personal work. Prerequisites: MATH-3800 Research Methods in Mathematics; 15 hours of courses beyond MATH-1720 Calculus II; permission of instructor. (Fee: $20) MATH-4880 Topics in Mathematics –Fa, Sp 1–3 hours Some typical topics are linear programming, numerical analysis, stochastic calculus, non-parametric statistics, partial differential equations, or mathematical modeling. This course is intended to be a topic not in the current curriculum that is a logical extension and development of the student’s academic plan. Prerequisite: permission of instructor. MATH-4900 1–3 hours Independent Study in Mathematics –Fa, Sp Independent research in the various branches of mathematics and allied fields of application. Submission and approval of a research proposal must precede registration. Prerequisite: major in mathematics or permission of research advisor. Management (MGMT) MGMT-3500 3 hours Principles of Organization and Management –Fa, Sp An examination of the policies, principles, practices, and problems involved in the management of organizations as they are currently being applied in the United States and around the world to meet or exceed customer’s expectations. MGMT-3510 Business Model Development –Fa 3 hours This course will introduce students to small business and entrepreneurship. Topics will include personal characteristics of entrepreneurs, issues involving the uniqueness of family businesses, what small business owners can expect, the difference between a small business and entrepreneurial business, an overview of business models, an introduction to finding and/or evaluating a business opportunity, and the operational basics of starting and running a small or entrepreneurial business. Prerequisites: ACCT-2110 Principles of Accounting I; ECON-2330 Microeconomics MGMT-3511 Entrepreneurial Strategy –Fa 3 hours This course will focus on looking for, identifying, and evaluating business opportunities, then matching business models to take advantage of them. Content will include creativity, opportunity recognition, evaluation, cognitive processes of entrepreneurs, environmental scanning, entrepreneurial business models (strategy), and will introduce initial financial elements of opportunity evaluation. Prequisities: MGMT-3510 Business Model Development MGMT-3512 Entrepreneurial Finance –Fa 3 hours This course will focus on the finance, accounting, and tax issues involved in operating a small business, entrepreneurial high growth firm, or family business. Content will include small business and high growth financial issues, managing cash flow, attracting financial resources, accounting issues such as the role of a forward-thinking accountant, setting up accounting systems that serve the firm strategy, and tax planning. It will also include financial elements of opportunity evaluation and exploitation as well. Prerequisite: MGMT-3510 Business Model Development. MGMT-3513 Entrepreneurship Practicum –Fa, Sp 3–12 hours This course will be a practicum for SB and E students to gain experience in a small business or entrepreneurial setting that is appropriate for their future goals. These experiences will be in the form of internships, shadowing entrepreneurs, working in a small business or entrepreneurial firm on significant projects or in significant roles, or consulting with these types of firms. Course Descriptions | MATH-3750 – MGMT-3513