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Undergraduate Programs: Mathematicsnext

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As of fall 2013, the College is no longer accepting new students into the B.S. in Mathematics program.

Degree earned

Total number of credits

B.S.

122

 

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.

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. Our first charge is to provide activities which allow our 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. Our 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.

 

CREDIT DISTRIBUTION

General Education Core (33 credits)

ENG 110 College Writing (3)

ENG 200 Advanced College Writing (3)

GEN 110 Introduction to Critical Thinking (3) [Required of first-year students, all other students must substitute a Liberal Arts & Sciences elective]

GEN 220 Justice and Democracy in America (3)

GEN 230 Creative Expressions (3)

GEN 240 Scientific Discovery (3)

GEN 410 Baccalaureate Capstone I (3)

GEN 411 Baccalaureate Capstone II (3)

MAT 251 Calculus I (3)

MAT 381 Statistics and Probability I (3)

SPE 130 Fundamentals of Public Speaking (3)

 

Major Requirements (36 credits)

MAT 151 Trigonometry/Geometry (3)

MAT 182 Discrete Math (3)

MAT 252 Calculus II (3)

MAT 255 Number Theory (3)

MAT 260 Linear Algebra (3)

MAT 261 Calculus III (3)

MAT 342 Abstract Algebra (3)

MAT 361 Differential Equations (3)

MAT 382 Statistics and Probability II (3)

MAT 421 Real Variables (3)

MAT 442 Complex Analysis (3)

MAT 450 Topology (3)

 

Liberal Arts and Sciences Courses (20 credits)

Two humanities electives (6 credits)

Two social sciences electives (6 credits)

Two-course science sequence (8 credits)

  • PHY 200 Principles of Physics I (4) and PHY 201 Principles of Physics II (4) or
  • CHE 200 General Chemistry I (4) and CHE 201 General Chemistry II (4)

 

Free Electives (33 credits)

May include any College course.

 

Total Credit Hours 122