The Mathematics Major prepares students for careers in secondary mathematics education and for further graduate study in mathematics, statistics, and related disciplines. It also combines well as a secondary major with any area, especially science, business, computer systems, and intelligence studies.
After completion of the bachelor's degree in mathematics, students interested in secondary education may enroll in the one-year Master of Science: Pedagogy and Practice program here at the University and earn a master's degree along with teaching certification.
Math 170 Calculus I
This is the initial course in a sequence of courses on the fundamental ideas of the calculus of one variable. It is here that truly significant applications of mathematics begin. Topics included are functions, continuity, limits, derivatives, maxima and minima and antiderivatives. Projects may be assigned requiring the students to use a Symbolic Computer Algebra System. Satisfies either the common or distribution core requirements in mathematics. Offered Fall and Winter terms. 4 credits.
Math 171 Calculus II
Any student who has completed Calculus I should take Calculus II to obtain a complete study of the calculus of one variable. Topics included are the integral antiderivatives, the Fundamental Theorem, volume, length of an arc, surface area, average value, moments, integration techniques, series, sequences. Projects may be assigned requiring the students to use a Symbolic Computer Algebra System. Satisfies the distribution core requirement in mathematics. Prequisite: MATH 170. 4 credits.
Math 150 Linear Algebra
This course is an introduction to the algebra and geometry of Euclidean 3-space and its extensions to Euclidean N-Space. Topics included are systems of linear equations, determinants, vectors, bases, linear transformations and matrices. Prerequisites: MATH 170, MATH 171. 4 credits.
Math 233 Calculus III
This is an introduction to the calculus of several variables. Topics selected from polar coordinates, functions of several variables, partial derivatives, multiple integrals, line integrals, surface integrals, Green's theorem and Stokes' Theorem. Prequisites: MATH 150, MATH 171. 4 credits.
Math 240 Differential Equations
An introduction to the basic mathematical content of ordinary differential equations and their applications. This will include analytical, qualitative, and numerical methods for ordinary differential equations. Topics include first- order and second-order equations and applications, systems of differential equations, and matrix methods for linear systems. Prequisites: MATH 150, And, MATH 171, Or Department Permission. 3 credits.
Math 245 Geometry
Emphasis is given to geometry, uses of geometry in various mathematical subjects, historical aspects of geometry and mathematics, and mathematical curricular developments. The following topics are integrated into the course: Euclidean and non-Euclidean geometry, historical and cultural significance of mathematics, and mathematical software products. Prequisites: MATH 150, MATH 171. 3 credits.
Math 265 Transition to Advanced Mathematics
This course is designed to facilitate the mathematics student’s transition to courses requiring a higher level of mathematical maturity. Emphasis will be on the reading and writing of proofs, and on communicating mathematically—both orally and in writing. Topics will include logic, set theory, functions, relations, and number theory. Prequisites: MATH 150, MATH 171. 3 credits.
Math 280 Modern Algebra I
This is the rst semester of a year-long sequence on the study of algebraic structures. Course topics include the properties of numbers, equivalence relations, groups, rings, elds, direct products, homomorphisms and isomorphisms, and the natural development of various number systems. Prequisites: MATH 150, MATH 233, MATH 265. 3 credits.
Math 281 Modern Algebra II
This second semester course will build on material from Math 280, with a focus on integral domains, polynomial rings, and elds. Additional topics will include the Sylow theorems, nite simple groups, symmetry and patterns, and an introduction to Galois theory. Prerequisites: MATH 280. 3 credits.
Math 291 Statistical Analysis
An introduction to statistical concepts and techniques with emphasis on the underlying probability theoretical basis. Topics included are sums of random variables; moment generating functions; sampling distributions; F- and t- distributions; chi-square; point estimation; interval estimation; testing hypotheses, theory, and application; regression and correlation; analysis of variance. Prequisites: MATH 150, MATH 233. 3 credits.
Math 370 Advanced Calculus
This course introduces the fundamental concepts of a function of a real variable from a rigorous point of view. Topics included are completion of the rational numbers, theory of continuous functions, theory of differentiation, theory of the Riemann integral, sequences, series. Prequisites: MATH 150, MATH 233, MATH 265. 3 credits.
Math 400 Topics in Mathematics
Some possible areas for further study are Abstract Algebra, Geometry, Topology, Real Analysis and Complex Variables. At least one topics course is desirable for anyone wishing to pursue mathematics in graduate school. Prequisites: MATH 265. 3 credits.
Mathematics majors must also take one programming course (MIS 126 Programming I or MIS 234 Algorithms), for a total of 13 courses.
Math 170 Calculus I Math 171 Calculus II Math 150 Linear Algebra Math 233 Calculus III Math 265 Transition to Advanced Mathematics
Plus two additional electives from among the following:
Department Chair, Professor Office:Main LL Phone:814-824-2355 Email:email@example.com
Dr. Redmond's interests are in probability theory and ranking systems, and he has published articles and results in the Annals of Applied Probability, the Journal of Stochastic Processes and their Applications, Mathematics Magazine, the College Mathematics Journal, and Mathematics Teacher. Some of his mathematical artwork was recently exhibited at the Joint Mathematics Meetings.
Professor Office:Zurn 215 Phone:(814) 82402378 Email:firstname.lastname@example.org
Donald Platte joined the faculty in the fall of 1972 after receiving a Ph.D. in Mathematics from Michigan State University. He has undergraduate degrees in both Mathematics and Physics from Aquinas College.
Assistant Professor Office:Zurn 313A Phone:814-824-2174 Email:email@example.com
Patrick Kelly joined the faculty here at Mercyhurst University in the fall of 1995. He obtained his bachelor's degree in mathematics from Gannon University, where he also earned secondary certification in mathematics. He holds a master's degree in pure mathematics from the University of Pittsburgh.
Associate Professor, Dept Chair Office:Main 305 Phone:(814) 824-2123 Email:firstname.lastname@example.org
Roger Griffiths joined the faculty in the fall of 2004 from Montana State University. He has undergraduate degrees in both Mathematics and Nautical Science. Dr. Griffiths is an associate professor of Mathematics. His recent teaching duties include Differential Equations, the calculus sequence, Mathematics for the Natural Sciences, Introduction to Internet Programming, Internet Programming II (server-side), and Operating Systems (GNU/Linux).
Recently, he has led student research in:
Advanced Web Application Development - 2008
Web Application Design and Implementation - 2007
Ruby on Rails - 2006
Data Structures in Java - 2005
Dr. Griffiths is also the Department System Administrator (Linux) and Department webmaster.