The Mathematics Major
The purpose of the major is to immerse students in the content and methodology of
mathematics as it is practiced by active mathematicians. The basic requirements in
the major introduce the central ideas of the discipline. Electives within the major
permit students to pursue further areas of special interest.
The course in Linear Point Set Theory is an important bridge into the major. In it
students begin the immersion into the mathematical process, and the foundation is
built for later work in Algebra, Analysis, Topology, and other courses. Linear Point
Set Theory, along with Abstract Algebra and Analysis, highlight methods of proof,
raising and settling of questions, developing precise definitions of concepts, and
thinking and writing concisely in mathematical terms. Students who immerse themselves
in these mathematical ideas are able to approach the other courses in the major with
the perspective of the working mathematician.
Mathematical concepts have a profound influence on the world outside of mathematics.
Equally important, the world external to mathematics has helped shape the discipline.
It is important for majors to experience this interaction and to see the power and
limitations of mathematics. Courses such as Calculus I, II, and III, Linear Algebra,
Differential Equations, Probability, Statistics, Numerical Analysis, and Introduction
to Computer Science as well as the physics requirement aid in the development of this
perspective.
A major in mathematics opens many doors. Majors go on to graduate work in fields such
as mathematics, computer science, statistics, physics, economics, or biology. They
pursue careers in business, actuarial science, linguistics, medicine, law, and teaching.
Most importantly, the major allows the budding mathematician to see the world in a
creative, beautiful, and profound way.
Major Requirements
Bachelor of Arts in Mathematics
Mathematics:
1404,1411, 2412 (Calculus I, II, III)
3159 (Junior Workshop)
3310 (Linear Algebra)
3321 (Linear Point Set Theory)
4332 (Abstract Algebra I)
4341 (Analysis I)
4333 or 4342 (Abstract Algebra II or Analysis II)
one of 3324, 3326, 3338 or 4315; (Differential Equations, Probability, Numerical Analysis,
or Applied Mathematics)
Three credits at any level; and six credits in courses numbered 3000 or above including
advanced courses in computer science (only six hours of computer science may count
toward the major); participation in 2107, 3107, 3190, and 3V50 (Mathematics Colloquium,
Problem Solving, and Special Topics) as often as it is offered is encouraged.
Physics: 23112111, 23122112 (General Physics I, II, Calculus based)
Bachelor of Science in Mathematics
Twelve additional advanced hours in mathematics are required including 4315; 4333
or 4342, excluding the choice for the B.A.; and 4V43 (Research).
Comprehensive Examination
A comprehensive exam is required of all majors in their final year. It is administered
by the mathematics faculty and covers all required courses for the B.A. or B.S. degree.
The exam is offered once in the fall semester and twice in the spring semester.
The comprehensive exam consists of a written section covering four major disciplinary
areas: Abstract Algebra, Real Analysis, Pure Math, and Applied Math. A score of 70%
or better qualifies the student to procede to the oral examination.
The oral section of the comprehensive exam is intended to further explore the students'
understanding of mathematics, their facility with the concepts and processes of mathematical
thought, their approach to problems using the mathematical tools they have been given,
and their ability to communicate their thoughts and ideas.
Suggested Sequence
The following is a representative sequence of the courses to be taken by students
in the mathematics major.
Year I
Physics 2311 
3 
Physics 2312 
3 
Physics 2111 
1 
Physics 2112 
1 
English 1301 
3 
English 1302 
3 
Language 2311 
3 
Language 2312 
3 
Mathematics 1404 
4 
Mathematics 1411 
4 
Philosophy 1301 
3 
Computer Science 1410 (or Elective) 
4 
TOTAL 
17 
TOTAL 
18 
Year II (Rome)
English 2312 
3 
English 2311 
3 
Mathematics 2412 
4 
History 2301 
3 
Mathematics 3321 
3 
Theology 2311 
3 
Economics 1311 
3 
Philosophy 2323 
3 
Theology 1310 
3 
Art 2311 
3 
TOTAL 
16 
TOTAL 
15 
Year III
Mathematics 3310 
3 
Mathematics Elective 
3 
Mathematics 4341 or 4332 
3 
Mathematics 4342 or 4333 
3 
History 1311 
3 
Philosophy 3311 
3 
Life Science 
3 
History 1312 
3 
Mathematics 3159 
1 
Mathematics 3159 
1 
TOTAL 
13 
TOTAL 
13 
Year IV
Mathematics 4332 or 4341 
3 
Mathematics Elective 
3 
Mathematics Elective 
3 
Electives 
9 
Politics 1311 
3 


History 2302 
3 


Elective 
3 


TOTAL 
15 
TOTAL 
12 
Math Placement Exam
All students of the University are urged to seek advice from the Department concerning
selection of courses and placement. A placement exam is required of students wishing
to enroll in 1000 or 2000 level courses except 1301. Students considering a major
in mathematics should consult with the Department as soon as possible. A faculty member
can suggest courses that may help students decide.
Students need to be registered in order to take the math placement exam. Please contact
Dr. Paul Phillips by email if you need help with registration.