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Math
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Course offerings MATH 102 Basic Algebra 2 CreditsNumbers and their properties, operations with rational numbers, fundamental operations in algebra, linear equations in one variable, special products and factoring, algebraic fractions, systems of linear equations, exponents and radicals, quadratic equations. Prerequisite: Two years of high school mathematics or Instructor’s consent. Required of students whose placement test indicates deficiency in mathematics. A student who has received credit for MATH 106, MATH 108, MATH 114, MATH 115, MATH 124 or MATH 131 may not take MATH 102 for credit without the Registrar’s consent. Fall and Spring semesters. MATH 106 Algebra and Functions (2 Credits) See Infrequently Offered Courses section of the college catalog MATH 108 Functions and Finite Mathematics – GS 8 (2 Credits) See Infrequently Offered Courses section of the college catalog. Fulfills General Education Area 8 – Quantitative Skills. MATH 114 Algebra and Finite Mathematics - GS 8 Algebra, functions, mathematics of finance, systems of equations, exponential and logarithmic functions, probability and an introduction to graphing calculators. Prerequisites: advanced algebra in high school or MATH 102. Note: Students may not receive credit for both MATH 114 and 115. A student who has received credit for MATH 124 or MATH 131 may not take MATH 114 for credit without the Registrar’s consent. Fall and Spring semesters. Fulfills General Education Area 8 – Quantitative Skills. MATH 115 Pre-Calculus Mathematics – GS 8 Primarily for students intending to take MATH 124 or MATH 131 but who need more preparation. Basic concepts of set theory, algebraic operations, functions, systems of equations, exponents, logarithms, trigonometry and an introduction to graphing calculators. Prerequisite: advanced algebra in high school or MATH 102. Note: Students may not receive credit for both MATH 114 and MATH 115. A student who has received credit for MATH 124 or MATH 131 may not take MATH 115 for credit without the Registrar’s consent. Fall and Spring semesters. Fulfills General Education Area 8 – Quantitative Skills. MATH 124 A Survey of Calculus – GS 8 Intended primarily for business students, this course provides a working knowledge of calculus in one semester. Topics include functions and their graphs, exponential and logarithmic functions, present value, differentiation and applications, integration and applications and functions of several variables. Prerequisite: four years of college preparatory math in high school or MATH 115. Note: Students may not receive credit for both MATH 124 and MATH 131. Fall and Spring semesters. Fulfills General Education Area 8 – Quantitative Skills. MATH 131 Calculus and Analytic Geometry 1 - GS 8 Pre-calculus mathematics will be presumed but reviewed as needed. Limits and continuity of functions; the derivative, its meaning, computation and applications; the definite integral, its meaning, computation and applications; differentiation and integration of logarithmic, exponential and trigonometric functions; and the fundamental theorem of calculus. Prerequisite: Four years of college preparatory math in high school or MATH 115. Note: Students may not receive credit for both MATH 124 and MATH 131. Fall and Spring semesters. Fulfills General Education Area 8 – Quantitative Skills. MATH 132 Calculus and Analytic Geometry 2 - GS 8 Applications of integration; methods of integration; indeterminate forms and improper integrals; elementary differential equations; series. Prerequisite: MATH 131 or MATH 124. Fall and Spring semesters. Fulfills General Education Area 8 – Quantitative Skills. MATH 212 Mathematical Applications for Upper Elementary and Middle School Intended for Education majors, this course examines the mathematics taught in upper elementary and middle schools. Students will explore topics recommended in the NCTM Standards, such as problem solving, reasoning, number relationships, number theory, geometry and probability. Prerequisites: Four years of college preparatory math in high school or MATH 114 or MATH 115. MATH 233 Calculus and Analytic Geometry 3 Parametric equations; polar coordinates; matrices and determinants; vectors and curves in two- and three-dimensional space; partial derivatives; multiple integrals; further applications of differentiation and integration; line integrals. Prerequisite: MATH 132. Fall and Spring semesters. MATH 243 Multicultural Mathematics Ideas This course examines the mathematical developments and systems of diverse peoples both past and present. Reasons for particular mathematical ideas or developments are examined in the context of the culture from which they emerged. Western mathematics and the mathematics of traditional peoples are examined, compared and contrasted. The historical development of mathematical ideas involving number, logic, spatial configuration and the organization of these ideas into systems or structures are explored. Prerequisite: Four years of college preparatory math in high school or MATH 114 or MATH 115. MATH 250 Advanced Foundations of Mathematics This course is intended to be a transition to abstract mathematics. Logic; the axiomatic method and the nature of proof; sets; relations, functions and 1-1 correspondences; countability; selected topics in discrete mathematics. Prerequisite: MATH 132. Spring semester. MATH 289 Special Topics The course topic and title will be announced at the time the course is offered. This course is intended for students at the first-year/ sophomore level. MATH 303 Linear Algebra Topics include vector spaces and inner product spaces, linear transformations, matrices and determinants, eigenvalue problems, generalized eigenvectors and Jordan form. Prerequisite: MATH 233 and MATH 250. Spring semester. MATH 306 Abstract Algebra Topics include groups, cyclic groups, permutation groups, quotient groups; Lagrange’s theorem; homomorphism theorems; rings, ideals, matrix rings, polynomial rings, number theory; modular arithmetic; integral domains; fields; field extensions. Prerequisite: MATH 250. Fall semester. MATH 310 Differential Equations Topics include solutions and applications of ordinary differential equations of types including: variables separable, homogeneous coefficients, exact, linear and non-linear. Includes introduction to differential operators, variation of parameter, Laplace transform, power series and numerical solutions. Prerequisite: MATH 233. Spring semester. MATH 315 Numerical Analysis Topics include Algorithms for numerical solutions to mathematical problems, with an emphasis on error analysis. Power series, roots of equations, linear and nonlinear systems, numerical differentiation and integration, differential equations, interpolation and difference equations, curve fitting. Most algorithms will be tested on a computer. Prerequisites: CSCI 110 and MATH 233. Spring semester, alternate years. MATH 317 Operations Research Topics include linear programming, duality, sensitivity analysis, transportation and assignment problems. Computer implementation of selected algorithms. Selected topics from the following: game theory, network analysis, integer programming and decision theory. Prerequisite: MATH 233. Fall semester, alternate years. MATH 321 Probability and Statistics Topics include probability, discrete and continuous random variables, discrete and continuous distributions, statistical inference and sample statistics, hypothesis testing and selection of procedures, correlation and regression, analysis of variance. Prerequisite: MATH 233. Spring semester. MATH 350 Modern Geometry Topics include postulational systems; Euclidean and non-Euclidean geometries; and the role of geometry in the history of mathematics. Prerequisite: MATH 250. Spring semester, alternate years. MATH 355 Topology Topics include metric spaces and general topological spaces, separation properties, compactness, connectedness, convergence, completeness, continuous functions, homeomorphisms. Prerequisite: MATH 250. By special arrangement with a member of the mathematics faculty. MATH 373 Real Analysis Topics include introduction to the theory of functions of a real variable, topology, limits, continuity, differentiability, Riemann integral, sequences and series, functions of several real variables. Prerequisite: MATH 233 and MATH 250. Fall semester, alternate years. MATH 376 Complex Analysis Elementary functions of a complex variable, differentiation, topology, integration, calculus of residues, series. Prerequisite: MATH 233 and MATH 250. Fall semester, alternate years. MATH 489 Special Topics A course designed for the study of subject material of special interest. The organization, methodology and objectives of the course will be determined by the instructor. Prerequisites: Instructor’s consent and junior or senior standing. MATH 490 Independent Study A course which allows a talented student to pursue an area of study on an individual basis, with consultation and evaluation. The objectives, organization, methodology and means of evaluation will be mutually agreed upon by a faculty member and the student. Prerequisites: Instructor’s consent and junior or senior standing. MATH 499 Senior Examination (0 Credits) This non-credit course consists of two two-hour exams covering the various areas of mathematics in the undergraduate curriculum. The purpose of these exams is to assess whether graduates of the program are achieving the program outcomes. The results of these exams will help the mathematics faculty monitor and improve the program. Prerequisite: senior standing. Spring semester. |
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Math Phone: (920) 403-3856 |
