Courses Offered

MTH 103 Intermediate Algebra 3 cr.
This course is designed to engage students in college-level mathematics. Topics include:  solutions to linear equations and inequalities, polynomials, quadratic equations, graphing, functions, rational and radical expressions, and concept of exponential growth. Tutoring is required. This course counts for 3 elective credits.

MTH 109 Quantitative Reasoning 3 cr.
An introduction to probability and counting, statistics, mathematics of finance, and problem solving strategies with emphasis on applications. Most sections require a calculator. Prerequisite: MTH 103 or equivalent.

MTH 113 Intro to Computer Science 3 cr.
An introduction to programming using a high-level programming language (e.g., Pascal, C, C++, COBOL). Emphasis on problem-solving techniques, algorithm design, and concepts of structured programming with applications to the social and natural sciences. Three class hours and one hour of recitation. Prerequisite: MTH 116 which may be taken concurrently with the consent of the instructor.

MTH 116 Pre-Calculus/Elementary Functions 3 cr.
Real number system, distance formula, quadratic equations and properties of functions, e.g., linear, quadratic, trigonometric, exponential, and logarithmic functions.  Most sections require a graphing calculator.  Prerequisite: MTH 103 or equivalent. 

MTH 117 Elementary Statistics 3 cr.
The description of sample data, probability, theoretical frequency distributions, sampling, estimating, hypothesis testing, correlation and regression with applications drawn from economics, management sciences, and life sciences.  Most sections require a graphing calculator; some require work with a computer spreadsheet.  Prerequisite: MTH 103 or equivalent. 

MTH 121 Calculus I 4 cr.
Limits, continuity, differentiation, definite integrals, and the fundamental theorem of calculus with applications to the physical sciences and economics.  Three class hours and one hour of recitation.  Most sections require a graphing calculator.  Prerequisite: A grade of C- or better in MTH 116. 

MTH 122 Calculus II 4 cr.
Anti-differentiation, introduction to differential equations, techniques of integration, applications of the integral, infinite sequences and series with applications to the physical sciences and economics.  Three class hours and one hour of recitation.  Prerequisite: A grade of C- or better in MTH 121. 

MTH 213 Calculus III 4 cr.
Polar coordinates, solid analytic geometry, two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals.  Three class hours and one hour of recitation.  Prerequisite: A grade of C- or better in MTH 122. 

MTH 214 Differential Equations 3 cr.
First- and second-order differential equations, systems of linear equations, nonlinear differential equations, numerical methods, applications.  Prerequisite: MTH 122.  Recommended preparation: MTH 223 and MTH 113. 

MTH 223 Linear Algebra 3 cr.
Vectors and matrices, systems of equations, linear transformations, vector spaces, determinants, eigenvalues, eigenvectors, and applications.  Prerequisite: MTH 121. 

MTH 256 Discrete Mathematics 3 cr.
Mathematical methods for characterizing and analyzing discrete systems.  Modern algebraic concepts, logic and proofs, algorithms, set theory, grammars and formal languages, and graph theory.  Prerequisite: MTH 122

MTH 303 Geometry 3 cr.
We will study the characterizations of different geometries by means of the relations that hold in them, the axioms that define them and the transformations that leave them invariant. Topics include deductive reasoning and the axiomatic method, Euclidean geometry, parallelism, hyperbolic and other non-Euclidean geometries, and geometric transformations. Writing intensive. Prerequisite: MTH 122

MTH 317 Analysis 3 cr.
Theory of functions of one and several real variables with emphasis on topological properties of the real line, sequences of real numbers, differentiability, partial differentiation, implicit function theorem, inverse function theorem, Riemann-Stieltjes integration, infinite series and sequences of functions, uniform convergence and boundedness.  Three credits each semester.  Prerequisite: MTH 214 and MTH 256. 

MTH 325 Abstract Algebra 3 cr.
A study of modern algebra including groups, rings, polynomials, fields, homomorphisms, isomorphisms, permutation groups, normal subgroups, ideals, rings, and polynomials.  Prerequisite: MTH 256 and MTH 223. 

MTH 330 Numerical Analysis 3 cr.
Analysis of numerical methods associated with zeros of functions and polynomials, polynomial approximation, differentiation, integration, and linear systems.  Round-off errors and computational speed.  Prerequisite: MTH 213 and MTH 223; MTH 113 is recommended. 
 
MTH 341 Mathematical Statistics  3 cr.
Sample space probabilities, random variable, probability distributions, and sampling distributions with applications from economics, management sciences, and life sciences.  Prerequisite: MTH 213 which may be taken concurrently with consent of the instructor.  

MTH 390 Seminar in Mathematics 3 cr.
Open only with consent of instructor.  This course, with a change of topic, may be repeated for credit. 

MTH 432 Probability Theory 3 cr.
Descriptive Statistics, Axiomatics of Probability, Counting Techniques, Random Variables, Common Discrete and Continuous Distributions, Random Vectors, Functions of Random Variables and Vectors, Sampling Distributions, Central Limit Theorem. Prerequisite: MTH 213 which may be taken concurrently with consent of the instructor.

MTH 433 Problems in Statistics 3 cr.
Testing statistical hypothesis; linear hypothesis; regression; analysis of variance and experimental designs; distribution-free methods; sequential methods. Prerequisite: MTH 432.

MTH 485 Independent Study 1-3 cr.
Independent investigation of selected topics under the guidance of a faculty member.  Required: Submission of a proposal before work commences and a research paper upon its completion.  Junior or senior standing and consent of the department. 

MTH 499 Cooperative Education 3 cr.
A cooperative educational experience in the field of mathematical research.  Open to juniors and seniors with departmental approval.