Mathematics & Computer Science
Mathematics Courses
MTH 101: Topics in Mathematics
Topics selected from various areas of mathematics such as discrete mathematics, logic, number systems, geometry, probability, and graph theory. The course is designed to give the student an appreciation of mathematics as an integral part of our culture as well as applications to various other disciplines.
Meets general academic requirement G.
Provides an introduction to statistical methods, including descriptive statistics, sampling, estimation, hypotheses testing, correlation and regression, and chi-square procedures. Students may not receive credit for both MTH 104 Statistical Methods and MTH 119 Statistical Analysis. Department permission required for students who have been placed in MTH 119 Statistical Analysis.
Meets general academic requirement G
MTH 114: Fundamentals of Mathematics
A study of fundamental mathematical principles underlying the concepts of number and shape. Topics include number systems, number theory, measurement systems, geometry, and functions with emphasis on applications and problem solving. Four meetings per week.
Prerequisite: EDU 101 Foundations of Education
Meets general academic requirement G
MTH 116: Symmetry & Shape: Introduction to Geometry
An introduction to the geometric concepts underlying elementary mathematics: properties of circles, polygons and polyhedra, measurement systems and indirect measure, scale and proportion, symmetry, congruence, informal Euclidean geometry, geometric constructions, and transformational geometry. Applications feature mathematical patterns found in art and nature: the golden ratio, Platonic solids, tessellations in the plane, frieze and wallpaper patterns, scale drawings, 3-D drawing, one- and two-point perspective, and viewing point.
Meets general academic requirement G
Designed for students interested in accounting, business administration, economics, finance, psychology, and the natural sciences. Topics include: basic probability, distributions of random variables, sampling distributions, confidence intervals, hypothesis testing, regression analysis, sampling procedures, experimental design, analysis of variance, nonparametric statistics, and research ethics. Students may not receive credit for both MTH 104 Statistical Methods and MTH 119 Statistical Analysis.
Prerequisite: 3.5 years of high school mathematics
Meets general academic requirement G
Differentiation of algebraic and transcendental functions, application of the derivative to related rates, max-min problems, and graphing. Introduction to integration, the Fundamental Theorem of Calculus. Four meetings per week.
Prerequisite: 3.5 years of high school mathematics
Meets general academic requirement G
A continuation of MTH 121 Calculus I. Applications of the integral, integration techniques, infinite sequences and series and improper integrals. Four meetings per week.
Prerequisite: MTH 121 Calculus I
Meets general academic requirement G
Geometry of the plane and space, including vectors and surfaces. Multivariable calculus, including partial derivatives, Taylor’s Theorem in two variables, line and surface integrals, and Green’s Theorem. Four meetings per week.
Prerequisite: MTH 122 Calculus II
MTH 240: Transition to Abstract Mathematics
An introduction to abstract mathematical thought with emphasis on understanding and applying definitions, writing arguments to prove valid statements, and providing counterexamples to disprove invalid ones. Topics may include logic, introductory set theory, and elementary number theory, but the focus is on the process of reasoning rather than any particular subject or subdiscipline. It is strongly recommended that mathematics majors complete this course by the end of the sophomore year.
Prerequisite: MTH 122 Calculus II
Meets general academic requirement W
Matrices and systems of linear equations, determinants, real vector spaces and inner product spaces, linear transformations, eigenvalue problems, and applications. Four meetings per week.
Prerequisite: MTH 122 Calculus II
MTH 227: Differential Equations
A study of the theory, methods of solution, and applications of differential equations and systems of differential equations. Topics will include the Laplace Transform, some numerical methods, and applications from the physical sciences and geometry.
Prerequisite: MTH 122 Calculus II
MTH 251: Landmarks of Greek Mathematics (0.5 course unit)
Examines selected masterpieces of classical mathematics, including Euclid’s Elements, Archimedes’ determination of the surface area of a sphere, Heron’s formula for triangular area, and Ptolemy’s table of chords. Emphasis will be placed on the brilliance of the mathematics and the reverberations of these ideas down to the present age.
Does not satisfy a major/minor requirement.
Prerequisite: one course in calculus
MTH 252: Landmarks of Modern Mathematics (0.5 course unit)
Examines selected mathematical masterpieces from the Renaissance to the dawn of the twentieth century. Theorems to be considered include those of Cardano, Newton, the Bernoullis, Euler, Gauss, and Cantor. Besides the mathematics, the course focuses on the context in which the theorems were discovered and the lives of the discoverers. Offered in alternate years.
Does not satisfy a major/minor requirement.
Prerequisite: one course in calculus
MTH 314: Applied Mathematics & Modeling
Models describing physical and economic conditions will be constructed, analyzed, and tested. The computer will be used in model verification. Offered in alternate years.
Prerequisite: MTH 227 Differential Equations
Linear programming, the transportation model, dynamic programming, decision analysis, game theory, and inventory and queuing models. Offered in alternate years.
Prerequisite: MTH 226 Linear Algebra
A study of the algebraic structures of groups, rings, fields, and integral domains. Offered in alternate years.
Prerequisite: MTH 210 Transition to Abstract Mathematics and MTH 226 Linear Algebra
MTH 331: Mathematical Statistics I
Probability, discrete and continuous random variables, the binomial, normal, Poisson, chi-square, t and F distribution.
Prerequisite: MTH 210 Transition to Abstract Mathematics and MTH 223 Calculus III
MTH 332: Mathematical Statistics II
A continuation of MTH 331 Mathematical Statistics I. Topics will include estimation, hypothesis testing, regression, correlation, and analysis of variance.
Prerequisite: MTH 331 Mathematical Statistics I
The numerical solutions of equations, numerical integration and differentiation, systems of equations, curve fitting, and numerical solutions of ordinary and partial differential equations. Offered in alternate years.
Prerequisite: MTH 226 Linear Algebra and any 100-level computer science course
MTH 337: Mathematical Analysis
Rigorous treatment of the real number system, sequence and function limits, continuity, differentiability, intermediate and mean value theorems, uniform continuity, the Riemann integral, and the Fundamental Theorem of Calculus. Offered in alternate years.
Prerequisites: MTH 210 Transition to Abstract Mathematics and MTH 223 Calculus III
An axiomatic approach to Euclidean geometry. The exploration of non-Euclidean geometries, including hyperbolic geometry. The study of transformational geometries. Offered in alternate years.
Prerequisite: MTH 210 Transition to Abstract Mathematics
MTH 345: Combinatorics & Graph Theory
This advanced course in discrete mathematics emphasizes counting and finite structures. The material is taken from three broad areas of combinatorics: counting theory, graph theory, and design theory. Topics include fundamental laws of counting, generating functions, recursion, partitions, existence and optimization problems, graphs and digraphs, networks, the relationships between graphical invariants, lattices, simple game theory, Latin squares, design and coding theory, and Ramsey Theory.
Prerequisite: MTH 210 Transition to Abstract Mathematics