
Develops mathematical skills with an emphasis on increasing the students’ ability to interpret and reason with quantitative information. Focuses on mathematical critical thinking and problem solving. Topics include variables and functions, linear, quadratic, exponential and other models, each presented in the context of applications from social and natural sciences, business, and everyday life.

Fundamentals of elementary algebra. Includes addition, subtraction and multiplication of polynomials, factoring of polynomials, the quadratic formula, graphing of equations, systems of equations and inequalities. May not be taken for credit by students who have successfully completed Mathematics 112 or a higher course.

Exploration of the beauty, extent and power of mathematics. Specific topics to be selected by the instructor.

Designed for students with strong high school mathematics backgrounds who plan to include a calculus course (Mathematics 113 or 121) in their programs. Investigates polynomial, rational, exponential, logarithmic and trigonometric functions. Explores the ideas of functions and graphs, with emphasis on concepts and skills central to calculus. Requires placement. May not be taken for credit by students who have successfully completed MTH121, 122 or 210.

MTH112 or PreCalculus in High School
Introduction to differential and integral calculus. Focuses on applications; theory held to a minimum. Examples from business and the natural and social sciences. Background in trigonometry not needed.

Introduction to modern elementary statistics and applications. Focuses on statistical reasoning and data analysis. Includes statistical design of experiments, estimation, hypothesis testing, regression, correlation and other selected topics.
Intro to Matrices & Linear Methods
MTH112 or PreCalculus in High School
Introduction to solving systems of linear equations, linear programming, elementary matrix theory, and the modeling of situations which are linear. Applications from business and natural and social sciences. Note: The content of this course is necessary background for MTH310. Requires placement in MTH112 or 4 years of high school math.

Introductory survey of propositional logic, functions, relations, counting methods and graph theory. Discussion of applications to computer science.

Introduction to the calculus of one variable. Includes limits and continuity, the derivative and applications, the integral and applications, infinite series and sequences. (Part I of II)

Introduction to the calculus of one variable. Includes limits and continuity, the derivative and applications, the integral and applications, infinite series and sequences. (Part II of II)

Selected topics of current or historic importance. Prerequisites vary with topics selected.

MTH113 or MTH121
Development of various mathematical models used in business, social sciences and biological sciences; uses and limitations of models in practical situations. Some models use calculus and/or the computer. Computer programming not a prerequisite.
Mathematics for the Elementary Teacher
MTH100, Sophomore Standing, and Education Major
Overview and examination of the mathematical topics in the K8 curriculum. Includes arithmetic of integers, decimals and fractions; numeration systems; set theory; problem solving; elementary logic, elementary concepts in probability and statistics; elementary concepts in geometry; and an introduction to computing.
Math  Middle and HS Teachers
MTH121
This course will provide an overview and examination of the mathematical topics and pedagogical approaches in the middle and high school curriculum. Topics include problem solving, number theory, algebraic thinking, geometry, probability and statistics, and mathematics software applications for teaching (e.g., Geometer’s Sketchpad and Tinkerplots).

MTH122
Continuation of Math 122. Includes functions of several variables, vectors, vectorvalued functions, threedimensional analytic geometry, partial differentiation and multiple integration.

MTH210
Techniques and theory of solving ordinary differential equations. Includes series solutions, numerical methods and applications.
Math Foundations of Computer Science
MTH120
Topics in the mathematical foundations of computer science. Includes graph theory, logic, Boolean algebras, languages and automata, and the analysis of algorithms.
Introduction to Cryptography
MTH122
Introduction to the mathematics from several different branches of the subject including number theory, matrix algebra, probability, and statistics, all of which play a role in enciphering and deciphering secret messages.

MTH120 and CSC220 or MTH122
Study of predicate logic, proof techniques, set theory, relations, functions, cardinality and various discrete structures.

TAKE MTH122 or Permission.
Selected topics of current or historic importance. Prerequisites vary with topics selected.

MTH210; MTH117 Strongly Recommended
Study of finitedimensional real vector spaces; kernel, dimension, basis, linear transformations and their matrices, and eigenvalues.

MTH210
Introduction to the theory of functions of a single complex variable. Analytic functions, complex series, Cauchy’s theorem and conformal mapping.

MTH122 and CSC120
Analysis and implementation of numerical algorithms for approximating functions, derivatives and integrals, and for solving nonlinear equations, ordinary differential equations and systems of linear equations. Discussion of standard software packages and techniques for writing efficient and reliable mathematical software in Pascal and/or FORTRAN.
Probability & Statistics I
MTH210
Introduction to mathematical theory of probability and statistical inference. Includes data analysis and presentation, discrete and continuous probability models, random variables, mathematical expectation, generating functions, estimation, hypothesis testing, sampling distributions, regression, correlation, time series and other selected topics. (Part I of II)
Probability and Statistics II
MTH341
Introduction to mathematical theory of probability and statistical inference. Includes data analysis and presentation, discrete and continuous probability models, random variables, mathematical expectation, generating functions, estimation, hypothesis testing, sampling distributions, regression, correlation, time series and other selected topics. (Part II of II)

MTH223
Study of integers, including divisibility, the theory of prime numbers, congruences and solutions of equations in integers.

Selected topics of current or historic importance. Prerequisites vary with topics selected.

MTH120 or 122
Introduction to combinational theory. Topics include enumeration, recurrence, generating functions, graph theory and optimization.
Introduction to Graph Theory
MTH122 or Permission
Introductory survey of the major concepts and applications of graphs, digraphs and networks. Application areas include transportation, traffic flow, games and puzzles. Spring Term only.

MTH223
Axiomatic systems, models, finite geometries, Hilbert’s axioms, independence of the parallel postulate, and introduction to nonEuclidean geometries with emphasis on hyperbolic geometry.

MTH223
Introduction to pointset topology. Includes topological properties of Euclidean spaces, abstract spaces and metric spaces. Explores connectedness, compactness, continuity and homeomorphisms.

MTH223 and 310
Introduction to the theory of algebraic structures including elementary theory of groups, rings and fields.

MTH210 and 223
Indepth examination of the calculus of one variable, including topology of the real line, sequences and series of functions.
Mathematical Methods of Physics
MTH211; MTH310 recommended
Survey of advanced mathematical topics for application in the physical sciences. Topics selected from Fourier series, transform calculus, partial differential equations, boundary value problems, complex variables and vector calculus. Highly recommended for students planning graduate study in the physical sciences or applied mathematics.
Mathematics Independent Study
Requires instructor permission.

Requires instructor permission.