The Mathematics major offers students the option to concentrate in Pure Mathematics, Applied Mathematics, or Mathematics Teaching. All students in the major are offered a common, rigorous foundation in core mathematical courses, followed by an in-depth development of their chosen concentration via more specialized courses.
The Pure Mathematics track focuses on abstract mathematical ideas and proofs (often called pure math). Required courses cover two fundamental areas of math: abstract algebra and analysis. Elective courses include (but are not limited to) combinatorics, complex variables, differential geometry, logic, number theory, probability, and topology.
The Applied Mathematics track provides students with the skills to address problems in a variety of scientific, engineering, and industry fields. Required courses in this track focus on differential equations, numerical analysis, and mathematical modeling. Elective courses include (but are not limited to) complex variables, stochastic processes, the mathematics of machine learning, and others, depending on career goals and interests.
The Mathematics Teaching track is open to students in UConn’s Neag School of Education, aimed at future K–12 mathematics educators and mathematical education scholars. Students in this track take courses to broaden and deepen their mathematical preparation, thereby obtaining not only a strong foundation with which to effectively pass on their excitement and knowledge of mathematics to others, but also widening their opportunities within and outside education.
A minor in Mathematics is described in the "Minors" section.
Required Courses
Students may select either a BA or BS option, which have identical Departmental requirements (and thus differ only with respect to College requirements). The following courses are required for all Mathematics majors; please note that credit earned for MATH 1132Q Calculus II is a prerequisite for each course.
Course List
Course |
Title |
Credits |
MATH 2110Q | Multivariable Calculus | 4 |
MATH 2210Q | Applied Linear Algebra | 3 |
MATH 2410Q | Elementary Differential Equations | 3 |
MATH 2710 | Transition to Advanced Mathematics 1 | 3 |
2 | 6 |
Total Credits | 19 |
Concentrations
Pure Mathematics
Course List
Course |
Title |
Credits |
MATH 3150 | Analysis I | 3 |
or MATH 4110 | Introduction to Modern Analysis |
MATH 3230 | Abstract Algebra I | 3 |
or MATH 4210 | Advanced Abstract Algebra |
| 6 |
| Introduction to Complex Variables | |
| Analysis II | |
| Abstract Algebra II | |
| Introduction to Number Theory | |
| Combinatorics | |
| Introduction to Mathematical Logic | |
| Elements of Topology | |
| Differential Geometry | |
Total Credits | 12 |
Applied Mathematics
Course List
Course |
Title |
Credits |
MATH 3410 | Differential Equations for Applications | 3 |
or MATH 3435 | Partial Differential Equations |
MATH 3510 | Numerical Analysis I | 3 |
MATH 3710 | Introduction to Mathematical Modeling | 3 |
| 3 |
| Introduction to Complex Variables | |
| Probability | |
| Elementary Stochastic Processes | |
| Mathematics for Machine Learning | |
| Elements of Topology | |
| Differential Equations for Applications | |
| Numerical Analysis II | |
Total Credits | 12 |
Mathematics Teaching
The Mathematics Teaching concentration is open only to students enrolled in the Neag School of Education.
Course List
Course |
Title |
Credits |
MATH 2360Q | Geometry | 3 |
MATH 3150 | Analysis I | 3 |
MATH 3230 | Abstract Algebra I | 3 |
| 3 |
| Probability | |
| Introduction to Number Theory | |
| Introduction to Mathematical Modeling | |
Total Credits | 12 |
Related Courses
Students must complete an additional 12 credits of 2000-level or higher non-MATH courses approved by the Mathematics Department.
Writing and Information Literacy Requirements
To satisfy the writing in the major and information literacy competencies, all Mathematics majors must pass one MATH W course.
University Common Curriculum Requirements
Every student must meet a set of core requirements to earn a baccalaureate degree, in addition to those required by the student's major course of study and other requirements set by the student's school or college. For more information about these requirements, please see Common Curriculum Requirements.
College of Liberal Arts and Sciences Degree Requirements
Students must meet a set of requirements established by the college in addition to the University's Common Curriculum requirements. For more information, see the College of Liberal Arts and Sciences section of this catalog.