Mathematics, BS
Degree: Bachelor of Science (BS)
Major: Mathematics
Program Overview
All undergraduate degrees in the Department of Mathematics, Applied Mathematics and Statistics are based on a four-course sequence in calculus and differential equations. The mathematics and applied mathematics degrees each require further mathematics courses in analysis and algebra. The statistics degrees each require a further statistics core. There are additional requirements particular to each degree program, including technical electives in the major. Each degree program requires a minimum of 120 credit hours.
The BS degree program in mathematics focuses on mathematical theory, logical problem-solving, and the process of abstraction. The required courses and technical electives emphasize abstract structures, patterns, and logical relationships that are found in all branches of mathematics. The BS in mathematics requires more coursework in the major than a BA degree, with the majority of upper-level electives selected from pure mathematics offerings such as Number Theory, Topology, and Geometry. The BS degree provides a strong foundation for students who are interested in pursuing graduate study, technical research in a variety of fields, or a career in industries such as finance or software.
Learning Outcomes
- Students will be able to know fundamental concepts of linear algebra: Vector spaces, linear operators and matrices, four fundamental subspaces, matrix factorizations, and the solution theory of linear systems.
- Students will be able to correctly analyze the solvability of linear problems in practice, and is able to solve linear systems.
- Students will be able to know the fundamental concepts of calculus and classical mathematical analysis: Metric spaces, limits and convergence, continuity, and differential and integral calculus.
- Students will be able to demonstrates the capability of rigorous abstract thinking, and is able to set up a rigorous mathematical proof.
- Students will be able to know the fundamentals of abstract algebra: groups, rings, fields.
- Students will be able to know and is able to work effectively with the elements of abstract algebra, and use them effectively in proofs and calculations.
- Students will be able to express a given problem in mathematical terms, and/or finds the appropriate set of mathematical tools to tackle the problem, and/or is able to select and implement an algorithm that leads to the solution of the problem.
- Students will be able to communicate effectively the results to a non-expert in mathematics, and is able to put the work in the proper context.
Undergraduate Policies
For undergraduate policies and procedures, please review the Undergraduate Academics section of the General Bulletin.
Accelerated Master's Programs
Undergraduate students may participate in accelerated programs toward graduate or professional degrees. For more information and details of the policies and procedures related to accelerated studies, please visit the Undergraduate Academics section of the General Bulletin.