100 Elementary Algebra (3)
Basic algebraic skills: simplifying algebraic expressions, solving linear and quadratic equations, exponents, and radicals. Not open to students with credit for courses numbered 130 and above. Credit earned in this course will not count toward 128 hours required for graduation.
101 Mathematical Concepts (3)
Introduction to applications of mathematics to daily experience. Topics to include statistical analysis and interpretation, applications to business, measurement methods, and selected topics of interest. (C2)
130 College Algebra (3)
Real number properties, solving equations, inequalities, systems of equations, functions, and graphs.
135 Statistics, Functions, and Rates of Change (3)
Descriptive statistics, probability distributions, functions, and an introduction to derivatives.
140 Introductory Calculus (5)
The differential and integral calculus of algebraic functions of one variable. PREQ: 130 or consent of the director of mathematics placement.
144 Applied Trigonometry (3)
Topics including right triangles, trigonometric functions, graphing; basic identities, triangle solutions, and complex numbers; emphasis on applications. Credit not available for both MATH 144 and MATH 145. PREQ: 130.
145 Trigonometry (3)
Basic trigonometry: functions, identities, graphs, solution of equations and triangles, complex numbers; analytical trigonometry. Credit not available for both MATH 144 and MATH 145. PREQ: 130 or consent of the director of mathematics placement.
146 Precalculus (4)
Functions using equations, graphs, and numerical data; linear, exponential, logarithmic, trigonometric, polynomial, and rational functions; transformations, compositions, inverses, and combinations of functions; trigonometry with identities.
152 Engineering Calculus I (3)
Limits, continuity, derivatives of algebraic and trigonometric functions with applications. PREQ: 146, or consent of the director of mathematics placement.
153 Calculus I (4)
Limits, continuity, derivatives, and integrals of algebraic and trigonometric functions with applications. PREQ: 146, or consent of the director of mathematics placement.
170 Applied Statistics (3)
Descriptive statistics, exploratory data analysis, probability distributions, correlation, regression, estimation, and hypothesis testing.
190 Mathematical Models of Population Growth (3)
Exponential, logistic, age-structured populations, metapopulation dynamics, viable population size, and probability of regional extinction.
191 Mathematics in Social Choice and Decision Making(3)
This course covers topics from voting methods, weighted voting, fair division, apportionment and game theory.
230 Theory of Arithmetic I (3)
Logic, sets, relations, mathematical systems, counting, numeration systems, and algorithms for whole numbers.
231 Theory of Arithmetic II (3)
Measurement (metric system), number theory: integers, rationals, irrationals, and reals. PREQ: 230.
250 Introduction to Logic and Proof (2)
An introduction to the principles of logic and the methods of proof necessary for the successful study of mathematics. Credit not available for both MATH 250 and CS 260. PREQ: or COREQ: 140 or 153.
252 Engineering Calculus II (3)
Integrals of algebraic and trigonometric functions with applications series. PREQ: 152, or consent of the director of mathematics placement.
253 Engineering Calculus III (3)
Multivarible calculus, partial derivatives, multiple integrals, Green's Theorem. PREQ: 252, or consent of the director of mathematics director.
255 Calculus II (4)
Derivatives and integrals of transcendental functions, techniques of integration, indeterminant forms, improper integrals, infinite series. PREQ: 153.
256 Calculus III (4)
Plane curves, polar coordinates, vectors and solid analytical geometry, vector-valued functions, partial differentiation, multiple integrals. PREQ: 255.
270 Statistical Methods I (3)
Descriptive statistics, probability and sampling distributions, estimation, hypothesis testing. PREQ: 170 or 146.
286 Laboratory Practicum I, II (1, 1)
287 Materials for teaching elementary mathematical concepts; students design and conduct laboratory experiences. PREQ: 231, middle-grades education major with math concen- tration or permission of instructor; 286 for 287. 3 hours.
300 Problem Solving (2)
Methods and techniques for problem solving in mathematics. 1 Lecture, 2 Lab.
301 History of the Scientific Revolution (3)
A study of the role of science in Western culture from classical antiquity to the seventeenth century. (P3)
310 (CS 310) Discrete Structures (3)
Graph theory: planarity, eulerian, hamiltonian, colorings, and trees. Enumeration: permutations, combinations, binomial distribution, generating functions, recurrence relations, and inclusion-exclusion. PREQ: Junior standing or permission of instructor.
311 Informal Geometry (3)
Points, lines, planes, constructions; axiomatic structure of geometry and the nature of proof. PREQ: 231.
320 Ordinary Differential Equations (3)
Differential equations of first order, first degree with applications; linear equations of higher order and numerical methods; special equations of second order. PREQ: 256.
331 Complex Variable Theory (3)
The complex number system, limits, continuity, derivatives, transcendental and multiple-valued functions, integration. PREQ: 256.
350 Operations Research (3)
Convexity, linear programming, simplex algorithm, duality, transportation problems, and integer programming. PREQ: 254 or 262; 255.
361 Introduction to Abstract Algebra (3)
Groups, rings, and fields. PREQ: 250.
362 Introduction to Linear Algebra (3)
Systems of equations, matrices, vector spaces, and linear transformations. Credit not available for both MATH 254 and MATH 262. PREQ: 250 and 153.
370 Probability and Statistics I (3)
Elementary probability, discrete and continuous random variables, expectation, moments, sampling distributions, probability distributions, estimation, and hypothesis testing. PREQ: 255.
375 Statistical Methods II (3)
Analysis of variance, regression, and correlation; analysis of categorical data; distribution- free procedures. PREQ: 270.
386 Practicum (2)
Practical experience under faculty supervision for prospective teachers as teaching aides and as tutors. PREQ: MATH 255; permission of department head. 5 Lab.
389 Cooperative Education in Mathematics (1 or 3, R15)
See Cooperative Education Program.
393 Topics in Mathematics (1-6, R6)
PREQ: Permission of department head.
400 History of Mathematics (3)
The development of mathematics from a historical perspective. Topics include elementary number theory, probability, algebra, geometry, trigonometry, and calculus. PREQ: 153 or 140 or permission of department head.
411 Foundations in Geometry (3)
Axiomatic approach to the study and development of Euclidean and non-Euclidean geometry. PREQ: Junior standing or permission of department head.
412 Modern Geometries (3)
Finite geometries, transformations, motions of the Euclidean plane and three-space, similarity transformations, convexity, and other topics. PREQ: Junior standing or permission of department head.
415 Methods and Materials for Teaching Mathematics in the Secondary School (3)
A survey of contemporary trends and issues in teaching mathematics at the secondary level. Methods, materials, curriculum, and other current practices are included. PREQ: Admission to the professional education sequence; EDSE 322.
422 Advanced Calculus I (3)
Sequences of real numbers, continuous functions, and differentiation. PREQ: 250 and 255.
423 Advanced Calculus II (3)
Differentiation including L'Hospital's rule and Taylor's theorem; integration theory; other classical topics. PREQ: 422.
441 (CS 441) Introduction to Numerical Analysis (3)
Finite differences, interpolation, numerical integration, and solutions to ordinary differential equations, linear systems, eigenvalues, eigenvectors, and errors. PREQ: 254 or 262; 255; CS 150.
461 Abstract Algebra (3)
Topics from abstract algebra including quotient groups and rings, rings of polynomials and field extensions, quaternions, homomorphism theorems. PREQ: 361.
462 Linear Algebra (3)
Topics from linear algebra including algebra of linear transformations, dual space, algebra of polynomials, determinants, eigenvalues, diagonalization, and selected applications. PREQ: 262.
470 Probability and Statistics II (3)
Point and interval estimation, hypothesis testing, decision theory, likelihood ratio and sequential testing, correlation and regression. PREQ: 370.
479 Capstone: Seminar (2)
A course requiring written papers and oral presentations by students on historical and contemporary ideas from the current mathematical literature. PREQ: Senior standing.
491 Supervised Student Teaching in Mathematics, 9-12 (3)
A full-time supervised teaching experience in the discipline. COREQ: EDSE 490, 495.
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Last updated: 8/10/2004.
Copyright 2004 by Western Carolina University .