Academic Catalog

Mathematics, B.S.

Program Description

As the world becomes increasingly complex, information skills become increasingly vital. The ability to collect relevant data, process it, and make decisions based upon the results is a common theme in industrialized society. An aspect of the Mathematics program is to provide an opportunity to enhance these information skills by covering the core areas of mathematics. Not only are these skills invaluable for graduate school and postdoctoral research in mathematics, but they also facilitate the study of physics, chemistry, biology, and computer science as well as areas of economics, finance, and psychology. The logical, statistical, and communication expertise developed in the program are valuable skills for most careers.

The Mathematics major at Medaille College is designed to introduce the core areas of mathematics and their roles in more specialized fields. Students will complete a course of study anchored in analysis, algebra, and topology, which can be used to study other areas including dynamical systems and functional analysis. Students can tailor this program to areas of science or business via free electives. Special areas in mathematics can be explored through a variety of independent study topics that are close to student and faculty interests.

There is a 36-credit core of courses that will expose students to a three-part Calculus sequence along with Differential Equations, Linear Algebra, and a two-part Statistics and Probability sequence. The core courses also include the more theoretical areas of Number Theory, Abstract Algebra, Real and Complex Analysis, and Topology. The student can choose between a two-semester sequence in either Chemistry or Physics to complete the science requirement.

The mission of the B.S. program in Mathematics at Medaille College is twofold. The first charge is to provide activities, which allow students to develop the expertise needed for career success, including translating and understanding research level mathematics. This knowledge will be developed through strong experiences in computational skills, academic programming, technological applications, critical thinking, analysis tactics, and problem solving. These experiences will occur during student-student and student-faculty interaction in the classroom and at social events such as seminars and colloquia. The second charge is to encourage awareness of the people and events that contribute to the shape of Mathematics. This awareness will develop through discourse among students and faculty and be woven into instruction. Besides fostering an environment conducive to mathematics research, the program also emphasizes the importance of communicating the subject effectively, either to mathematically or non-mathematically oriented audiences.

Students will complete a program that is anchored by Analysis, Algebra and Topology, which is at the root of study for nearly any mathematical endeavor that they may wish to pursue. Majors can tailor this program to areas of Science or Business via free electives, as well as special areas of Mathematics from a variety of independent study topics that are close to current faculty interests. Students are required to take Topology and Complex Analysis.

Program Goals and Objectives

  • Students shall develop an understanding of the central components of Mathematics and their interaction in special areas.
  • Students shall develop primary tools relevant to performing Mathematics in their chosen fields.
  • Students shall develop ancillary tools relevant to research level Mathematics.

Degree earned: B.S.
Total number of credits: 122

Credit Distribution

General Education Core
Writing Courses
ENG 110College Writing3
or ENG 112 College Writing for Multilingual Students
ENG/HON 200Advanced College Writing3
or ENG 202 Advanced College Writing for Multilingual Students
Critical Dialogues Course
INT 110Introduction to Dialogues in Critical Thinking 13
American Dialogues Course
Select one course of the following:3
Photographers, Writers, and the American Scene
Social Issues in Policing a Multicultural Community
Justice and Democracy in America
African-American History
Cultural Interaction in Colonial North America
Enduring American Dialogues
Creative and Reflective Dialogues Course
Select one course of the following:3
Contemporary Photography as Cultural Landscape
Beginning Drawing
Basic Photography: Criticizing Photography
Introduction to Creative Writing
Creative Nonfiction Writing
Creative Expression
Introduction to Theatre and Performance
Sustainability Dialogues Course
Select one course of the following:3
Introductory Biology
Human Nutrition
Botany
Enviromental Studies
Introductory Chemistry
Scientific Discovery
Physical Science
Principles of Physics I
Global Dialogues Course
Select one course of the following:3
British Literature I: Middle Ages to the 18th Century
British Literature II: Late 18th Century to The Present
Themes and Topics in World Literature & Culture
Major Global Literary Figures
Baccalaureate Capstone I
Medieval World
The History of Ireland
History of the Israeli-Palestinian Conflict
The Arts in Society
Psychoanalysis & Politics
Seminar in Religion and Belief
Classical Music Studies
Truth & Justice
Citizenship Dialogues Course
Select one course of the following:3
Baccalaureate Capstone II
Capstone in Citizenship
Psychology Capstone
MAT 251Calculus I3
MAT 261Calculus III3
SPE 130Fundamentals of Public Speaking3
Major Requirements
MAT 151College Geometry and Trigonometry3
MAT 182Discrete Mathematics3
MAT 252Calculus II3
MAT 255Theory of Numbers3
MAT 260Linear Algebra3
MAT 261Calculus III3
MAT 342Abstract Algebra3
MAT 361Differential Equations3
MAT 382Statistics and Probability II3
MAT 421Real Variables3
MAT 442Complex Analysis3
MAT 450Topology3
Liberal Arts and Sciences Courses
Select two humanities electives6
Select two social sciences electives6
Select one of the following two-course science sequences:8
Sequence 1
Principles of Physics I
and Principles of Physics II
Sequence 2
General Chemistry I
and General Chemistry I Laboratory
General Chemistry II
and General Chemistry II Laboratory
Free Electives
Select 33 credits of Free Electives 233
Total Hours122
1

Required of first-year students; all other students may substitute a 300/400 level Liberal Arts and Sciences elective

2

May include any College course.