Course Descriptions
Students who wish to register for a mathematics course must meet the necessary prerequisites, as stated in the Schedule of Classes. Students unsure of whether they meet the prerequisites should contact a mathematics faculty member.
All CLU students are required to meet the Mathematical Reasoning Proficiency under Core 21. Students who meet the proficiency requirement may still need to meet specific mathematics requirements for their majors.
MATH 110 Intermediate Algebra
4 credits
Covers equations and inequalities, polynomials, rational and radical expressions, exponents, graphing linear equations and inequalities, linear systems, exponential and logarithmic functions and places extensive emphasis on word problems. Does not meet the Core-21 requirement in mathematics.
MATH 115 Finite Mathematics
4 credits
Studies the elementary models in business and social sciences including systems of linear equations and inequalities, matrices, interest, annuities and an introduction to probability and statistics. Recommended for business and social science majors. Satisfies Core-21 mathematics requirement.
MATH 151 Precalculus
4 credits
Includes real numbers, equations, polynomials, inequalities, exponential, logarithmic and trigonometric functions. Satisfies Core-21 mathematics requirement.
MATH 231 Biostatistics
4 credits
Introduces the principles, methods of reasoning and procedures pertinent to the collection, summarization, analysis and presentation of biomedical data. Laboratory sessions are included to facilitate data handling and analysis. Topics include sampling and experimental design, descriptive statistics, probability, statistical inference and interpretation of results, simple regression and clinical trials. (offered in spring every other year, on demand)
MATH 241 Discrete Mathematics
4 credits
Studies set theory, number systems, the nature of proofs, recursion, algorithms, graph theory and problem solving. Required for computer science and computer information systems majors. (offered in fall)
MATH 250 Business Calculus
4 credits
Studies functions-limits-continuity, rates and marginal analysis, practical optimization, exponential and logarithm functions and compounded interests. Includes the definite integral, profit/surplus analysis, numerical integration, differential equations, probability density functions, Lagrange multipliers, Taylor approximation and Newton's Method. (offered in spring every other year, on demand)
MATH 251 Calclus I
4 credits
Studies the concepts of the derivative and the definite integral of functions of one variable. Included are applications to rates and areas, differentials and basic modeling. A weekly computer lab is a key component of the course. Prerequisite: Mathematics 151 or Math SAT 600 or above.
MATH 252 Calculus II
4 credits
Continues the study of differentiation and integration begun in Calculus I. Introduces indefinite integration and applications of the definite integral. Differential equations and elementary methods to solve them are presented, along with slope fields and some modeling applications. Includes Taylor polynomials and series. A weekly computer lab is a key component of the course.
MATH 261 Calculus III
4 credits
Calculus III extends the concepts of calculus to a multivariable perspective. Topics such as functions, derivatives, integrals and various coordinate systems are used to explore change modeled by two or more variables. Vector algebra and vector fields are introduced to study the motion of objects. A weekly computer laboratory session facilitates exploration, visualization and reinforcement of the main topics of the course. (offered in fall)
MATH 265 Differential Equations
4 credits
Focuses on the formulation of appropriate equations to represent phenomena, the solution (when possible) of such equations and understanding and interpreting the solutions of these equations. Graphical and analytical methods will be explored, as will numerical techniques. (offered in spring)
MATH 282 Special Topics
1 credit
MATH 343 Linear Algebra
4 credits
An introduction to solving systems of linear equations through the use of concepts such as vector spaces, linear transformations, matrices, eigenvalues and eigenvectors. Students will enhance mathematical communication skills through reading and writing proofs and will explore interdisciplinary applications of the theory of linear algebra in projects and computer laboratory assignments.
MATH 352 Probability and Statistics I
0 credits
This course introduces the concepts of probability and statistics. Topics include methods of data description, probability theory, a study of several discrete and continuous distributions, the central limit theorem, estimation of parameters, confidence intervals and hypothesis testing.
MATH 381 Geometry
4 credits
This course primarily investigates the integration of geometries on the plane, sphere and hyperbolic plane. An emphasis is placed on experiencing the meanings in the geometry. Student investigations, small-group learning and writing assignments will be used to explore geometrical ideas. The history and culture of mathematics, particularly as reflected by the development of geometrical understanding, will be threaded through the course.
MATH 382 Number Theory
4 credits
Study of the properties of integers and the history of the discovery of these properties. Topics include fundamental theorems on divisibility, primes and congruences, as well as number-theoretical functions, Diophantine equations, quadratic reciprocity and Fermat's Last Theorem.
MATH 420 Real Analysis
4 credits
A study of the real number system, set theory, sequences, functions, continuity, differentiation and Riemann-Stieltjes integration, with an emphasis on developing the ability to communicate mathematically.
MATH 425 Abstract Algebra
4 credits
Studies the theory of integers, groups, rings, fields and polynomials.
MATH 435 Combinatorics
4 credits
This course investigates areas of combinatorial math including permutations and combinations, sets and subsets, recurrence relations, generating functions, the principle of inclusion and exclusion, latin squares, systems of distinct representatives, Steiner triple systems, Ramsey numbers and Stirling numbers. Some graph theoretic ideas and results are explored.
MATH 440 Mathematical Methods of Physics
4 credits
Mathematical methods in the physical sciences. Interdisciplinary applications in wave theory, lasers, spectroscopy, Newtonian mechanics, electricity and magnetism, relativity, atomic and molecular theory, quantum mechanics and statistical thermodynamics. Orthogonal expansions in infinite dimensional spaces: complete orthonormal sets, operator theory orthogonal function expansions, coordinate transformations, integral transformations and tensor representation.
MATH 450 Complex Analysis
4 credits
A study of the complex number system. Topics include complex numbers and functions, analytic functions, integration, series, contour integrals and conformal mapping.
MATH 452 Probability and Statistics II
4 credits
Extends the concepts of probability and statistics through a multivariable perspective. Studies statistical models through topics such as experimental design, regression, analysis of variance, contingency tables and order statistics. Data handling and analysis are conducted with the aid of statistical software.
MATH 471 Mathematical Modeling
4 credits
A speaking-intensive introduction to modeling techniques, synthesizing concepts and methods learned in previous courses. Applications will be chosen from various disciplines (particularly science, social science, business and education), environmental resource issues and scheduling/ allocation. Techniques used will include computer simulation, game theory, difference equations and/or differential equations and probabilistic models or statistical models.
MATH 475 Capstone
2 credits
The Capstone in mathematics is intentionally open-ended. The focus of the course centers on the Mathematics majors designing and carrying out individual projects suited to their interests and post-graduation goals. Weekly class meetings will be run in seminar fashion: each student will be expected to present at least one report on a) the culture of mathematics, b) the relationship between mathematics and other disciplines or career avenues or c) a moral/ethical issue related to mathematics.
MATH 482 SelectedTopics
1 credit
MATH 485 Seminar
2-4 credits
MATH 490 Independent Study
1 credit
MATH 492 Cooperative Education
1 credit
(graded P/NC only)
