The Mathematics major is based on a variety of courses in pure and applied mathematics. Students who complete the major will acquire a broad background in the fundamental branches of classical and modern analysis, algebra and discrete structures, differential equations and applications, probability theory, and both theoretical and applied statistics. The major will provide an invaluable opportunity for students interested in developing significant mathematical skills through a selection of advanced courses that will introduce them to some modern lines of contemporary mathematics and its applications to other sciences. The major prepares students for professional careers or advanced academic work not only in mathematics but also in many mathematics-intensive areas, including quantitative finance, actuary science, economics, computer science, natural sciences, and many more.
The Mathematics curriculum is designed to enable all graduates to achieve the following skill- or competency-based student outcomes:
- articulate basic and advanced mathematical information accurately and effectively;
- learn classical and modern mathematical theories, models, and techniques;
- show mastery of basic and specialized mathematical knowledge and skills;
- create models of real phenomena and analyze them using a broad background of methods from classical and modern analysis, algebra, discrete mathematics, probability theory, and theoretical and applied statistics;
- work as an effective individual and as a part of a team on problems and projects requiring specific mathematical knowledge; and,
- gain abilities to abstract essential information; make correct logical deductions; and read, understand, and construct solutions for multiple-step problems from various areas of pure and applied mathematics.
Some of our graduates have gone on to complete graduate degree programs in prestigious universities in the U.S., including Cornell, Duke, Johns Hopkins University, Northwestern University, the University of Maryland, the University of Pittsburgh, and Vanderbilt University. Some have participated in prestigious international summer schools, research conferences, and workshops such as the Weizmann Institute of Science in Rehevot, Israel; and the Abdus Salam International Centre for Theoretical Physics in Trieste, Italy.
Total: 36 credit hours
Required Courses (21 credit hours)
MAT 103 Calculus I
MAT 104 Calculus II
MAT 105 Elementary Linear Algebra and Analytical Geometry
MAT 201 Mathematical Statistics
MAT 205 Introduction to Abstract Algebra
MAT 212 Calculus III – Multivariate Calculus and Geometry
MAT 213 Introduction to Differential Equations
Elective Courses (15 credit hours)
Five additional MAT courses, at least three of which must be selected out of the following:
MAT 214 Numerical Analysis
MAT 225 Advanced Linear Algebra
MAT 305 Topics in Abstract Algebra
MAT 313 Calculus IV with Differential Geometry
MAT 314 Complex Analysis
MAT 315 Real Analysis
MAT 317 Dynamical Systems
MAT 491/492 Senior Thesis
The major requirements may be completed with any other Mathematics courses except MAT 100 and MAT 102.
Note: After consultation with the Mathematics faculty, one of the elective courses may be replaced with courses in other disciplines that use essential mathematics, such as COS 150, COS 460, ECO 300, ECO 310, or ECO 400.
Disciplinary Honors in Mathematics
Disciplinary honors may be given to a Mathematics major who upon graduation has
- achieved a GPA-in-major of at least 3.50;
- successfully completed and publicly defended a Mathematics senior thesis in front of a panel of Mathematics faculty; and,
- received a grade of A for the Mathematics senior thesis.
Based upon the overall performance in the Mathematics major and the thesis’s sophistication and/or originality, the Mathematics faculty will decide whether or not to confer honors in Mathematics.
A completed senior thesis substitutes for the Bulgarian state exam.