087. Basic Mathematics 
3 Credits 
Basic principles of arithmetic: integers, fractions, decimals, ratios, proportions, measurement, percent, descriptive graphs, and basic statistics. Will not satisfy quantitative reasoning requirements of MPSL. A student who has passed a quantitative reasoning course or has previously earned a placement score of 3 or higher may not receive credit for any of MA087, MA091, or MA098. Prerequisite: Course open only to firstyear students with ACT mathematics subscore below 17.


091. Basic Algebra 
3 Credits 
Concepts and techniques of basic algebra with applications. Includes review of arithmetic of real numbers, linear equations and inequalities, polynomials and arithmetic operations on polynomials, factoring, rational expressions and equations, graphs and an introduction into functions. Will not satisfy quantitative reasoning requirements of MPSL. A student who has passed a quantitative reasoning course or has previously earned a placement score of 3 or higher may not receive credit for any of MA087, MA091, or MA098. Prerequisite: ACT mathematics subscore of 17 or 18, a placement score of 1, or a pass in MA087.


098. Intermediate Algebra 
3 Credits 
Further study of algebra concepts and techniques with applications. Includes functions and graphs, systems of equations, systems of linear inequalities, radical functions and equations, complex numbers, quadratic functions, exponential and logarithmic functions, and conic sections. Will not satisfy quantitative reasoning requirements of the MPSL. A student who has passed a quantitative reasoning course or has previously earned a placement score of 3 or higher may not receive credit for any of MA087, MA091, or MA098. Prerequisite: ACT mathematics subscore of 19,20, or 21, placement score of 2, or a pass in MA091.


109. Finite Mathematics 
3 Credits 
Analysis, description and solution of problems arising in business, computer science, and natural and social sciences. Emphasis on mathematical models whose construction and solution involve a finite number of clearly defined steps. Includes an introduction to finite probability and elementary statistics. Topics include matrices, systems of linear equations, linear inequalities, linear programming, functions and their graphs, Markov processes, and game theory. Additional topics may be selected from decision theory, mathematics of finance and networking. Prerequisite: ACT mathematics subscore of 22 or higher, a placement score of at least 3, or a pass in MA098.


110. College Algebra 
3 Credits 
Study of basic operations: equations and inequalities, polynomial, exponential, and logarithmic functions and graphs, matrices, determinants, sequences, series, mathematical induction, and selected topics from combinatorics. Prerequisite: ACT mathematics subscore of 22 or higher, placement score of at least 3, or a pass in MA098.


112. Mathematics Content for Elementary School Teachers I 
3 Credits 
Designed to help prepare a prospective elementary school teacher in mathematics. Includes a study, from a problemsolving standpoint, of many topics covered in elementary school mathematics such as natural numbers, whole numbers, rational and irrational numbers, arithmetic operations on these numbers, systems of numeration, language and nature of inductive and deductive reasoning, elements of set theory, informal geometry and elementary number theory. Prerequisite: Elementary of early childhood major or consent of instructor; and ACT mathematics subscore of 25 or higher. a placement score of at least 4, or a pass in MA098.


113. Mathematics Content for Elementary School Teachers II 
3 Credits 
This second course is designed to help further prepare a prospective elementary school teacher in mathematics. It includes a study, from a problemsolving standpoint, of many topics covered in elementary school mathematics such as geometry, measurement, probability and statistics. Prerequisites: Elementary of early childhood major or consent of instructor; and ACT mathematics subscore of 25 or higher. a placement score of at least 4, or a grade of C or better in MA110.


115. Trigonometry 
3 credits 
Study of thew trigonometric functions and their properties, applications to triangles and other geometric figures, and also graphs of trigonometric functions and inverse trigonometric functions. Prerequisite: ACT mathematics subscore 25 or higher.a placement score of at least 4, or a C or better in MA110.


120. Elementary Probability and Statistics 
3 Credits 
Introduction to descriptive statistics, relevant concepts in probability including random variables and their distributions, sampling, inferential statistics and regression. Applications to several disciplines. Prerequisite: ACT mathematics subscore of 25 or higher, placement score of at least 4, or grade of C or better in either MA109 or MA110.


140. Calculus I 
4 Credits 
Differential and integral calculus of the elementary functions with associated analytic geometry; concepts of limit, continuity, derivative and integral; applications of the derivative as rate of change, slope and solving maxmin problems. Prerequisite: Successful completion of calculus readiness exam, or a grade of C or better in MA115.


208. Discrete Mathematics 
3 Credits 
Introduces basic techniques of proof and combinatorial problem solving. Topics include graphs, trees, logic, applied combinatorics, and number theory. Prerequisite: Completion of or concurrent enrollment in MA140.


215. Introduction to Actuarial Science 
2 Credits 
Topics will include probability, risk theory, financial mathematics and basic accounting as used by actuaries in insurance companies. This course is one component in the preparation of actuarial students for internships with insurance companies. Prerequisite: ACT mathematics subscore of 25 or higher, placement score of at least 4, or grade of C or better in either MA109 or MA110, or consent of instructor.

220. Statistical Methods 
3 Credits 
Introduction to major methods of applied statistics. Topics may include simple and multiple regression, analysis of variance and co variance, model specification and residual analysis, nonparametric inference, experimental design, survey sampling, multivariate analysis and Bayesian inference. Prerequisite: a grade of C or better in MA120.


225. Time Series 
2 Credits 
Introduction to modeling time series data using smoothing techniques, regression, and autoregressive models. Estimation, data analysis and forecasting using real data will be examined. Prerequisite: MA 220.

240. Calculus II 
4 Credits 
Applications of definite integral and Fundamental Theorem of Calculus, methods of integration, integrals of inverse trigonometric functions, logarithmic and exponential functions, the use of polar coordinates, infinite series, power series, Taylor series and Fourier series. Prerequisite: a grade of C or better in MA140.


301. College Geometry 
3 Credits 
Elements of plane and solid geometry treated from both a synthetic and metric approach, historical development of geometry, parallelism and symmetry, area and volume, other geometrics including hyperbolic nonEuclidean geometry, projective geometry and finite geometries. Prerequisite: a grade of C or better in MA140.



303. Linear Algebra 
3 Credits 
Matrices, linear systems, finite dimensional vector spaces, vector geometry, linear transformations, quadratic forms. Prerequisite: a grade of C or better in MA240.Completion of MA208 recommended.



304. Probability and Mathematical Statistics 
3 Credits 
Combinatorial analysis, probability axioms, random variables and their distributions including binomial, normal, Student's t and f, estimation and sampling, hypothesis testing, linear and multivariate regression. Prerequisite: a grade of C or better in MA240.



305. Differential Equations 
3 Credits 
Elementary differential equations and applications including linear differential equations with constant coefficients and first order systems, higher order differential equations and applications. Existence and uniqueness theorems. Numerical techniques. Prerequisite: Mathematics 340 and concurrent enrollment or completion of MA303.



308. Theory of Computation 
3 Credits 
An introduction to the theory of computation emphasized formal languages, automata, and computability. Includes computational complexity and NPcompleteness. Prerequisite: Mathematics 208.



313. Numerical Analysis 
3 Credits 
Iterative methods for approximating numerical solutions to systems of equations, polynomials, integral and differential equations. Also matrix manipulation and error analysis. Prerequisite: Mathematics 240 or consent of instructor.



314. Advanced Mathematical Statistics 
3 Credits 
Continuation of Mathematics 304 with an emphasis on multivariate distributions, estimation and tests of statistical hypotheses. Students who complete the course will have the opportunity to be prepared for the first actuarial statistics examination. Prerequisite: Mathematics 304. 


320. History of Mathematics 
3 Credits 
A study of major developments in the history of mathematics and in the mathematical contributions of nonWestern cultures. The interplay between mathematics and culture is emphasized. Prerequisite: a grade of C or better in MA140 or consent of instructor.



324. Theory of Interest 
3 Credits 
This course is designed to prepare students for Exam FM that is administered by the Society of Actuaries. Topics include compound interest formulas, annuities, perpetuities, amortization schedules, bonds, and other securities. Prerequisite: a grade of C or better in MA240.



340. Calculus III 
4 Credits 
Introduction to calculus of several variables, partial derivatives, multiple and iterated integrals, vector functions. Prerequisite: Mathematics 240.



403. Abstract Algebra 
3 Credits 
Introduction to abstract algebra. Includes basic ideas and theorems about groups, rings, integral domains, and fields. Prerequisite: Mathematics 303 or consent bof instructor.



420. Mathematical Logic 
3 Credits 
An introduction to mathematical logic and metamathematics. Includes predicate calculus, proof theory, formal axiomatic theories, consistency, completeness, and decidability. Prerequisite: MA 208 or consent of instructor.



425. Methods of Teaching Mathematics in Grades 6  12 
3 Credits 
Microteaching and structured classroom participation required. The course focuses on teaching standards based mathematics content with the inclusion of appropriate technologies. Required for both middle school and high school Illinois Mathematics Teacher Certification. Prerequisites: a grdae of C or better in MA140 plus grades of C or better in an additional 9 hours of mathematics above MA140, junior or senior standing, admission to the School of Education, and consent of instructor.



440. Advanced Calculus 
3 Credits 
A rigorous treatment of fundamental analysis concepts. Includes topology of the real number system, limits, continuity, sequences, differentiability, and integrability. Prerequisite: MA 303 and MA 340, or consent of instructor.



471. Internship in Methods of Teaching Mathematics 
3 Credits 
Students learn methods of teaching mathematics in a classroom situation under the supervision of a member of the department. Includes methods of course organization, presentation, and assessment and the use of technology in teaching mathematics. Prerequisite: Junior mathematics major and approval of instructor and Department chair.



472. Internship 
3 Credits 
An onthejob professional experience working for an organization, business or University department during an academic semester. A supervised work experience in which the superior student's mathematical background is used in an actual working environment. Prerequisite: Junior mathematics major and approval of instructor and Department chair.



491, 492, 493, 494. Independent Study 
2 or 3 Credits Per Semester 
Advanced study in a topic chosen jointly by student and instructor. Some recent topics include topology, real analysis, operations research, complex analysis, logic and foundations, ethnomathematics, advanced statistics, formal language theory, projective geometry and computerassisted instruction in mathematics. Prerequisite: Consent of department chair.



499. Senior Seminar 
3 Credits 
Research in applied mathematics. Students create and present a research project under the direction of a member of the mathematics faculty. Prerequisite: Senior mathematics major.
