# Mathematics (BA or BS)

The Mathematics Department offers programs of study in Mathematics, Applied Mathematical Sciences, Actuarial Science (in cooperation with the School of Business), Mathematical Statistics (in cooperation with the Department of Statistics), and Mathematics - Physics (in cooperation with the Department of Physics).

The Department offers both Bachelor of Science and Bachelor of Arts degrees in Mathematics, Applied Mathematical Sciences, Mathematics-Statistics, Mathematics-Actuarial Science, and Mathematics-Actuarial Science-Finance, and a Bachelor of Science in Mathematics-Physics. The Bachelor of Science program provides in-depth training in Mathematics as preparation for graduate study or for participation in scientific and engineering teams in government, industry, or research laboratories. The Bachelor of Arts degree is designed to provide training in contemporary mathematics without the depth and concentrated specialization required for the Bachelor of Science program.

A minor in Mathematics is described in the "Minors" section.

The following courses may not be counted in any of the Mathematics major groups:

Course | Title | Credits |
---|---|---|

MATH 2010Q | Fundamentals of Algebra and Geometry | 3 |

MATH 2011Q | Fundamentals of Algebra and Geometry | 3 |

MATH 2705W | Technical Writing in Mathematics | 1 |

MATH 2720W | History of Mathematics | 3 |

MATH 2794W | Mathematics Writing Seminar | 2 |

MATH 3670W | Technical Writing for Actuaries | 3 |

STAT 3494W | Undergraduate Seminar | 1 |

## Writing in the Major

To satisfy the writing in the major and information literacy competencies in the Mathematics B.A. or B.S., the Applied Mathematical Sciences B.A. or B.S., the Mathematics-Actuarial Science B.A. or B.S., and the Mathematics-Actuarial Science-Finance B.A. or B.S., all students must pass one of the following courses:

Course | Title | Credits |
---|---|---|

MATH 2705W | Technical Writing in Mathematics | 1 |

MATH 2710W | Transition to Advanced Mathematics | 3 |

MATH 2720W | History of Mathematics | 3 |

MATH 2794W | Mathematics Writing Seminar | 2 |

MATH 3670W | Technical Writing for Actuaries | 3 |

MATH 3710W | Introduction to Mathematical Modeling | 3 |

MATH 3796W | Senior Thesis in Mathematics | 3 |

See the Mathematics-Physics and Mathematics-Statistics sections for information about the writing in the major requirement for those programs.

## Mathematics (BA)

The requirements for the B.A. in Mathematics are 27 credits of 2000-level or above course work in Mathematics and 12 credits of course work in approved related areas. The required courses are:

Course | Title | Credits |
---|---|---|

Required Courses | ||

Complete the courses for one of the following groups: | ||

Group 1 | ||

Multivariable Calculus | ||

or MATH 2130Q | Honors Multivariable Calculus | |

Applied Linear Algebra | ||

Elementary Differential Equations | ||

or MATH 2420Q | Honors Differential Equations | |

Select one of the following: | ||

Transition to Advanced Mathematics | ||

Advanced Calculus I and Advanced Calculus II | ||

Group 2 | ||

Advanced Calculus I | ||

Advanced Calculus II | ||

Advanced Calculus III | ||

Advanced Calculus IV | ||

Additional Courses | ||

Numerical Analysis I | ||

or MATH 4110 | Introduction to Modern Analysis | |

Abstract Algebra I | ||

or MATH 4210 | Advanced Abstract Algebra | |

Select at least three additional credits from any of the following courses: | 3 | |

Analysis II | ||

Abstract Linear Algebra | ||

Abstract Algebra II | ||

Introduction to Number Theory | ||

Combinatorics | ||

Introduction to Mathematical Logic | ||

Elements of Topology | ||

or MATH 4310 | Introduction to Geometry and Topology | |

Differential Geometry | ||

Undergraduate Seminar (approved sections) | ||

Special Topics (approved sections) | ||

Any 2000 level or above MATH courses |

## Mathematics (BS)

The requirements for the B.S. in Mathematics are:

Course | Title | Credits |
---|---|---|

Required Courses | ||

Complete the courses for one of the following groups: | 13-16 | |

Group 1 | ||

Multivariable Calculus | ||

or MATH 2130Q | Honors Multivariable Calculus | |

Applied Linear Algebra | ||

Elementary Differential Equations | ||

or MATH 2420Q | Honors Differential Equations | |

Select one of the following: | ||

Transition to Advanced Mathematics | ||

Advanced Calculus I and Advanced Calculus II | ||

Group 2 | ||

Advanced Calculus I | ||

Advanced Calculus II | ||

Advanced Calculus III | ||

Advanced Calculus IV | ||

Additional Courses | ||

MATH 3150 | Analysis I | 3 |

or MATH 4110 | Introduction to Modern Analysis | |

MATH 3151 | Analysis II | 3 |

MATH 3230 | Abstract Algebra I | 3 |

or MATH 4210 | Advanced Abstract Algebra | |

Select at least six additional credits from the following: | 6 | |

Geometry | ||

Introduction to Complex Variables | ||

Probability | ||

or MATH 3165 | Honors Probability | |

Elementary Stochastic Processes | ||

Abstract Linear Algebra | ||

Abstract Algebra II | ||

Introduction to Number Theory | ||

Combinatorics | ||

Introduction to Mathematical Logic | ||

Elements of Topology | ||

or MATH 4310 | Introduction to Geometry and Topology | |

Differential Geometry | ||

MATH 3410 | ||

Partial Differential Equations | ||

Numerical Analysis I | ||

Numerical Analysis II | ||

Introduction to Mathematical Modeling | ||

Undergraduate Seminar (approved sections) | ||

Special Topics (approved sections) | ||

Select at least three additional credits from the following: | 3 | |

Abstract Linear Algebra | ||

Abstract Algebra II | ||

Introduction to Number Theory | ||

Combinatorics | ||

Introduction to Mathematical Logic | ||

Elements of Topology | ||

or MATH 4310 | Introduction to Geometry and Topology | |

Differential Geometry | ||

In addition, at least 12 credits at the 2000 level or above in approved related areas are required | 12 | |

Total Credits | 43-46 |

## Applied Mathematical Sciences (BA)

The requirements for the B.A. in Applied Mathematical Sciences are 27 credits of 2000-level or above course work in Mathematics and 12 credits of course work in approved related areas.

Course | Title | Credits |
---|---|---|

Required Courses | ||

MATH 2110Q | Multivariable Calculus | 4 |

or MATH 2130Q | Honors Multivariable Calculus | |

or MATH 2143Q | Advanced Calculus III | |

MATH 2210Q | Applied Linear Algebra | 3-6 |

or MATH 2143Q & MATH 2144Q | Advanced Calculus III and Advanced Calculus IV | |

MATH 2410Q | Elementary Differential Equations | 3 |

or MATH 2420Q | Honors Differential Equations | |

or MATH 2144Q | Advanced Calculus IV | |

MATH 3410 | 3 | |

or MATH 3435 | Partial Differential Equations | |

MATH 3510 & MATH 3511 | Numerical Analysis I and Numerical Analysis II | 6 |

Additional Courses | ||

Choose the remainder of the 27 credits of Mathematics from the following | 5-8 | |

Transition to Advanced Mathematics | ||

Introduction to Complex Variables | ||

Analysis I | ||

or MATH 4110 | Introduction to Modern Analysis | |

Probability | ||

or MATH 3165 | Honors Probability | |

Elementary Stochastic Processes | ||

Abstract Linear Algebra | ||

or MATH 4210 | Advanced Abstract Algebra | |

Combinatorics | ||

MATH 3410 | ||

Partial Differential Equations | ||

Introduction to Mathematical Modeling | ||

Undergraduate Seminar (approved sections) | ||

Special Topics (approved sections) | ||

Total Credits | 24-30 |

## Applied Mathematical Sciences (BS)

The requirements for the B.S. in Applied Mathematical Sciences are:

Course | Title | Credits |
---|---|---|

Select one of the following options: | 13-16 | |

Option 1 | ||

Multivariable Calculus | ||

or MATH 2130Q | Honors Multivariable Calculus | |

Applied Linear Algebra | ||

Elementary Differential Equations | ||

or MATH 2420Q | Honors Differential Equations | |

Transition to Advanced Mathematics | ||

Advanced Calculus I and Advanced Calculus II | ||

Option 2 | ||

Advanced Calculus I | ||

Advanced Calculus II | ||

Advanced Calculus III | ||

Advanced Calculus IV | ||

MATH 3150 | Analysis I | 3 |

or MATH 4110 | Introduction to Modern Analysis | |

MATH 3410 | 3 | |

or MATH 3435 | Partial Differential Equations | |

MATH 3510 & MATH 3511 | Numerical Analysis I and Numerical Analysis II | 6 |

Select two of the following: | 6 | |

Introduction to Complex Variables | ||

Analysis II | ||

Probability | ||

or MATH 3165 | Honors Probability | |

Elementary Stochastic Processes | ||

MATH 3410 | ||

Partial Differential Equations | ||

Introduction to Mathematical Modeling | ||

Undergraduate Seminar (approved sections) | ||

Special Topics (approved sections) | ||

Select at least three additional credits from the following: | 3 | |

Geometry | ||

Probability | ||

or MATH 3165 | Honors Probability | |

Mathematics for Machine Learning | ||

Abstract Linear Algebra | ||

or MATH 4210 | Advanced Abstract Algebra | |

Abstract Algebra I | ||

Abstract Algebra II | ||

Introduction to Number Theory | ||

Combinatorics | ||

Introduction to Mathematical Logic | ||

Elements of Topology | ||

or MATH 4310 | Introduction to Geometry and Topology | |

Undergraduate Seminar (approved sections) | ||

Special Topics (approved sections) | ||

Total Credits | 34-37 |

## Mathematics-Statistics (BA or BS)

The requirements for the B.S. or B.A. in Mathematics-Statistics degree are 40 credits at the 2000 level or above in Mathematics and Statistics, with at least 12 credits in each department.

The required courses for the Mathematics-Statistics major are:

Course | Title | Credits |
---|---|---|

Select one of the following: | 4 | |

Multivariable Calculus | ||

Honors Multivariable Calculus | ||

Advanced Calculus III | ||

Select one of the following: | 3-8 | |

Applied Linear Algebra | ||

or MATH 3210 | Abstract Linear Algebra | |

Advanced Calculus III and Advanced Calculus IV | ||

Select one of the following: | 3 | |

Elementary Differential Equations | ||

Honors Differential Equations | ||

Advanced Calculus IV | ||

STAT 3375Q & STAT 3445 | Introduction to Mathematical Statistics I and Introduction to Mathematical Statistics II | 6 |

To satisfy the Writing in the Major and Information Literacy competencies, all students must pass one of the following courses:

Course | Title | Credits |
---|---|---|

MATH 2705W | Technical Writing in Mathematics | 1 |

MATH 2710W | Transition to Advanced Mathematics | 3 |

MATH 2720W | History of Mathematics | 3 |

MATH 2794W | Mathematics Writing Seminar | 2 |

MATH 3670W | Technical Writing for Actuaries | 3 |

MATH 3710W | Introduction to Mathematical Modeling | 3 |

MATH 3796W | Senior Thesis in Mathematics | 3 |

STAT 3494W | Undergraduate Seminar | 1 |

## Mathematics-Actuarial Science (BA or BS)

The requirements for the B.S. or B.A. degree in Mathematics-Actuarial Science are 40 credits at the 2000 level or above in Mathematics, Statistics, Business, and related areas. The required courses are:

Course | Title | Credits |
---|---|---|

MATH 2110Q | Multivariable Calculus | 4 |

or MATH 2130Q | Honors Multivariable Calculus | |

or MATH 2143Q | Advanced Calculus III | |

MATH 2210Q | Applied Linear Algebra | 3-4 |

or MATH 2144Q | Advanced Calculus IV | |

MATH 2620 | Financial Mathematics I | 3 |

MATH 3160 | Probability | 3 |

or MATH 3165 | Honors Probability | |

MATH 3620 | Foundations of Actuarial Science | 3 |

MATH 3630 | Long-Term Actuarial Mathematics I | 4 |

MATH 3636 | Actuarial Statistical Modeling I | 3 |

MATH 3637 | Actuarial Statistical Modeling II | 3 |

MATH 3639 | Actuarial Loss Models | 3 |

MATH 3640 | Short-Term Insurance Ratemaking | 3 |

STAT 3375Q | Introduction to Mathematical Statistics I | 3 |

STAT 3445 | Introduction to Mathematical Statistics II | 3 |

Total Credits | 38-39 |

Admission to the Actuarial Science program will be available only to students who meet the following two requirements. First, the student must have a total grade point average of 3.2 or higher or a grade point average of 3.2 or higher in mathematics. The student must also satisfy one of the following:

- completed MATH 11126Q or MATH 1131Q Calculus I with a grade of at least “B”;
- successfully completed an honors calculus course with a grade of at least “C”;
- Received AP credit for MATH 1131Q Calculus I; or
- received a passing score on one or more of the actuarial examinations.

Students not satisfying one or more of the requirements may be admitted into the program by the Mathematics Department Actuarial Committee.

To remain as an Actuarial Science Major, the student is required to maintain a total grade point average of 3.2 or higher. Students who do not satisfy this requirement may remain in the major with the permission of the director of the Actuarial Science program or his/her designee. If the student is not continued in the program, but meets minimum University of Connecticut scholastic standards as outlined in the University Senate by-laws, the director or designee will work with the student to identify an appropriate alternative major.

## Mathematics-Actuarial Science-Finance (BA or BS)

The requirements for the B.S. or B.A. degree in Mathematics-Actuarial Science-Finance are 40 credits at the 2000 level or above in Mathematics, Statistics, Business, and related areas and 15 credits in Finance. The required courses are:

Course | Title | Credits |
---|---|---|

Select one of the following: | 4 | |

Multivariable Calculus | ||

Honors Multivariable Calculus | ||

Advanced Calculus III | ||

MATH 2210Q | Applied Linear Algebra | 3 |

or MATH 2144Q | Advanced Calculus IV | |

MATH 2620 | Financial Mathematics I | 3 |

MATH 3160 | Probability | 3 |

or MATH 3165 | Honors Probability | |

MATH 3620 | Foundations of Actuarial Science | 3 |

MATH 3630 | Long-Term Actuarial Mathematics I | 4 |

MATH 3639 | Actuarial Loss Models | 3 |

MATH 3640 | Short-Term Insurance Ratemaking | 3 |

MATH 3650 | Financial Mathematics II | 3 |

MATH 3660 | Advanced Financial Mathematics | 3 |

STAT 3375Q | Introduction to Mathematical Statistics I | 3 |

STAT 3445 | Introduction to Mathematical Statistics II | 3 |

ACCT 2001 | Principles of Financial Accounting | 3 |

FNCE 4209 | Applications in Financial Management | 3 |

FNCE 4306 | Financial Services | 3 |

FNCE 4430 | Mergers and Acquisitions | 3 |

Select the remainder of the 15 credits of Finance from the following: | 6 | |

Fixed Income Securities | ||

Financial Derivatives and Risk Management | ||

Global Financial Management | ||

Financial Modeling | ||

Introduction to Algorithmic Trading | ||

High Frequency Trading Management | ||

Total Credits | 56 |

This degree is offered through the College of Liberal Arts and Sciences. Admission to the Actuarial Science program will be available only to students who meet the following two requirements. First, the student must have a total grade point average of 3.2 or higher or a grade point average of 3.2 or higher in mathematics. The student must also satisfy one of the following:

- completed MATH 1126Q or MATH 1131Q Calculus I with a grade of at least “B”;
- successfully completed an honors calculus course with a grade of at least “C”;
- received AP credit for MATH 1131Q Calculus I; or
- received a passing score on one or more of the actuarial examinations.

Students not satisfying one or more of the requirements may be admitted into the program by the Mathematics Department Actuarial Committee.

To remain as an Actuarial Science Major, the student is expected to maintain a total grade point average of 3.2 or higher.

## Mathematics-Physics (BS)

The B.S. degree in Mathematics-Physics may be completed by following either track A, which has a physics emphasis, or track B, which has a mathematics emphasis. Students in track A should choose an advisor from the Physics Department, and those in Track B should choose an advisor from the Mathematics Department. The number of credits for 2000-level courses or above in the Track A is 30 in Physics and 19 in Mathematics, and for Track B these numbers are 21 credits in Physics and 28 in Mathematics.

In either track, the writing in the major and information literacy competencies are met using PHYS 2501W Advanced Undergraduate Laboratory.

### Mathematics-Physics Major Track A (Physics Emphasis)

Course | Title | Credits |
---|---|---|

Complete the courses from one of the following groups: | 10-16 | |

Group 1 | ||

Multivariable Calculus | ||

or MATH 2130Q | Honors Multivariable Calculus | |

or MATH 2143Q | Advanced Calculus III | |

Applied Linear Algebra | ||

Elementary Differential Equations | ||

or MATH 2420Q | Honors Differential Equations | |

Group 2 | ||

Advanced Calculus I | ||

Advanced Calculus II | ||

Advanced Calculus III | ||

Advanced Calculus IV | ||

Additional Required Courses | ||

MATH 3146 | Introduction to Complex Variables | 3 |

MATH 3410 | 3 | |

MATH 3510 | Numerical Analysis I | 3 |

PHYS 2300 | The Development of Quantum Physics | 3 |

PHYS 2501W | Advanced Undergraduate Laboratory | 4 |

PHYS 3101 | Mechanics I | 3 |

PHYS 3201 | Electricity and Magnetism I | 3 |

PHYS 3202 | Electricity and Magnetism II | 3 |

PHYS 3300 | Statistical and Thermal Physics | 3 |

PHYS 3401 | Quantum Mechanics I | 3 |

Select nine credits of 2000-level or above PHYS electives. | 9 | |

Total Credits | 50-56 |

### Mathematics-Physics Major Track B (Mathematics Emphasis)

Course | Title | Credits |
---|---|---|

Required Courses | ||

Complete the courses from one of the following groups: | 16-21 | |

Group 1 | ||

Multivariable Calculus | ||

or MATH 2130Q | Honors Multivariable Calculus | |

or MATH 2143Q | Advanced Calculus III | |

Applied Linear Algebra | ||

Elementary Differential Equations | ||

or MATH 2420Q | Honors Differential Equations | |

Transition to Advanced Mathematics | ||

Advanced Calculus I and Advanced Calculus II | ||

Introduction to Complex Variables | ||

Group 2 | ||

Advanced Calculus I | ||

Advanced Calculus II | ||

Advanced Calculus III | ||

Advanced Calculus IV | ||

Introduction to Complex Variables | ||

Additional Required Courses | ||

PHYS 2300 | The Development of Quantum Physics | 3 |

PHYS 2501W | Advanced Undergraduate Laboratory | 4 |

PHYS 3101 | Mechanics I | 3 |

PHYS 3201 | Electricity and Magnetism I | 3 |

PHYS 3202 | Electricity and Magnetism II | 3 |

PHYS 3401 | Quantum Mechanics I | 3 |

Select three credits from the following: | 3 | |

Computational Physics | ||

Mathematical Methods for the Physical Sciences | ||

Mechanics II | ||

Electronics | ||

Statistical and Thermal Physics | ||

Modern Experimental Methods | ||

Undergraduate Research | ||

Foreign Study | ||

Special Topics | ||

Research Thesis in Physics | ||

Variable Topics | ||

Independent Study | ||

Physics of the Earth's Interior | ||

Fundamentals of Planetary Science | ||

Principles of Lasers | ||

Optics | ||

Introduction to Solid State Physics | ||

Nuclei and Particles | ||

Stars and Compact Objects | ||

Galaxies and the Interstellar Medium | ||

General Relativity and Cosmology | ||

Advanced Methods in Astrophysics | ||

Experimental Physics Design Laboratory | ||

Select four of the following: | 12 | |

Analysis I | ||

or MATH 4110 | Introduction to Modern Analysis | |

Analysis II | ||

Probability | ||

Abstract Linear Algebra | ||

Abstract Algebra I | ||

or MATH 4210 | Advanced Abstract Algebra | |

Elements of Topology | ||

or MATH 4310 | Introduction to Geometry and Topology | |

Differential Geometry | ||

MATH 3410 | ||

Total Credits | 50-55 |

## University General Education 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 General Education 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 General Education requirements. For more information, see the College of Liberal Arts and Sciences section of this catalog.