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.
Combined Bachelor's/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.
Program Requirements
Students seeking to complete this major and degree program must meet the general requirements for bachelor's degrees and the Unified General Education Requirements. Students completing this program as a secondary major while completing another undergraduate degree program do not need to satisfy the school-specific requirements associated with this major.
The BS degree in Mathematics requires at least 50 credit hours of mathematics courses and at least 17 credit hours in basic science. The specific requirements are as follows:
| Code | Title | Credit Hours |
|---|---|---|
| Mathematics Requirements | ||
| MATH 121 | Calculus for Science and Engineering I | 4 |
| or MATH 123 | Calculus I | |
| MATH 122 | Calculus for Science and Engineering II | 4 |
| or MATH 124 | Calculus II | |
| MATH 223 | Calculus for Science and Engineering III | 3 |
| or MATH 227 | Calculus III | |
| MATH 224 | Elementary Differential Equations | 3 |
| or MATH 228 | Differential Equations | |
| MATH 307 | Linear Algebra | 3 |
| MATH 308 | Introduction to Abstract Algebra | 3 |
| MATH 321 | Fundamentals of Analysis I | 3 |
| MATH 322 | Fundamentals of Analysis II | 3 |
| MATH 324 | Introduction to Complex Analysis | 3 |
| or MATH 425 | Complex Analysis I | |
| Non-Mathematics Requirements | ||
| PHYS 121 | General Physics I - Mechanics | 4 |
| PHYS 122 | General Physics II - Electricity and Magnetism | 4 |
| PHYS 221 | Introduction to Modern Physics | 3 |
| Choose one of the following sequences: | 6-8 | |
| Introduction to the Sun and Its Planets and Introduction to the Stars, Galaxies, and the Universe | ||
| Principles of Chemistry I and Principles of Chemistry II | ||
| Principles of Chemistry for Engineers and Chemistry of Materials | ||
| Physical Geology and Introduction to Oceanography | ||
| Physical Geology and Earth History: Time, Tectonics, Climate, and Life | ||
| Technical Electives | ||
| Choose four of the following: | 12 | |
| Elementary Number Theory | ||
| Sets, Logic, and Categories | ||
| Convexity and Optimization | ||
| Introduction to Topology | ||
| Knot Theory | ||
| Geometry I | ||
| Introduction To Algebraic Geometry | ||
| Introduction to Probability | ||
| High Dimensional Probability | ||
| Abstract Algebra II | ||
| Advanced Matrix Analysis | ||
| Mathematical Logic and Model Theory | ||
| Graph Theory | ||
| Category Theory | ||
| Introduction to Real Analysis I | ||
| Introduction to Real Analysis II | ||
| Algebraic Topology | ||
| Differential Geometry | ||
| Differentiable Manifolds | ||
| Additional Electives | ||
| Three MATH or STAT courses a,b | 9 | |
| Total Credit Hours | 67-69 | |
- a
300-level or higher.
- b
With approval of the student's major advisor, courses from outside MATH or STAT may be chosen.