# Requirements

## Mathematics Major

A major consists of at least nine courses numbered 1800 or higher.

Code | Title | Credits |
---|---|---|

Required Courses | ||

MATH 2000 | Linear Algebra | 1 |

MATH 2020 | Introduction to Mathematical Reasoning | 1 |

at least one advanced course (3000–3969) | 1 | |

Select at least six additional courses numbered 1800 or higher. | 6 |

The requirement of an advanced course (3000–3969) is meant to ensure that all majors have sufficient experience in at least one specific area of mathematics as listed below:

Code | Title | Credits |
---|---|---|

Algebra | ||

MATH 2301 | Intermediate Linear Algebra | |

MATH 2502 | Number Theory and Cryptography | |

MATH 2602 | Group Theory | |

MATH 2702 | Rings and Fields | |

MATH 3602 | Advanced Topics in Group Theory | |

MATH 3702 | Advanced Topics in Rings and Number Theory | |

Analysis | ||

MATH 2303 | Functions of a Complex Variable | |

MATH 2501 Vector Calculus | ||

MATH 2603 | Introduction to Analysis | |

MATH 3303 | Advanced Complex Analysis | |

MATH 3603 | Advanced Analysis | |

Modeling and Dynamics | ||

MATH 1808 | Biomathematics | |

MATH 2208 | Ordinary Differential Equations | |

MATH 3108 | Advanced Topics in Modeling | |

MATH 3208 | Advanced Topics in Dynamical Systems | |

Optimization and Numerical Methods | ||

MATH 2109 | Optimization | |

MATH 2209 | Numerical Methods | |

MATH 3109 | Optimal Control | |

MATH 3209 | Partial Differential Equations | |

Probability and Statistics | ||

MATH 2206 | Probability | |

MATH 2606 | Statistics | |

MATH 3606 | Advanced Topics in Probability and Statistics | |

Geometry and Topology | ||

MATH 2404 | Geometry | |

MATH 3204 | Topology | |

MATH 3404 | Projective and Non-Euclidean Geometries |

Students who have already mastered the material in Mathematics 2000 and 2020 may substitute a more advanced course after receiving approval from the department chair. Students must submit a planned program of courses to the department when they declare a major.

## Mathematics Minor

A minor in mathematics consists of a minimum of five courses numbered 1800 or higher.

**Additional Information and Department Policies**

- Each of the courses required for the major or minor must be taken for a regular letter grade, not Credit/D/Fail, with a minimum earned grade of C-.
- At most, two of the nine courses required for the major, or one of the five courses required for the minor, can be transfer credits from other institutions.
- Independent studies and honors projects can count toward major and minor requirements with prior departmental approval.
- Advanced Placement and International Baccalaureate scores, in addition to the mathematics placement questionnaire, are only used for placement.
- Courses from other departments or programs do not count toward the major or minor, but students may use mathematics courses toward another major or minor if that department or program allows.

### Recommended Courses

Listed below are some of the courses recommended to students with the indicated interests. For a full and rich mathematical experience, it is recommended that students also take courses from across the mathematical spectrum of pure mathematics, applied mathematics, and statistics.

Code | Title | Credits |
---|---|---|

Pure Mathematics | ||

MATH 2303 | Functions of a Complex Variable | 1 |

MATH 2501 Vector Calculus | ||

MATH 2602 | Group Theory | 1 |

MATH 2603 | Introduction to Analysis | 1 |

MATH 2702 | Rings and Fields | 1 |

Select at least two advanced courses from the following: | 2 | |

MATH 3204 | Topology | |

MATH 3303 | Advanced Complex Analysis | |

MATH 3404 | Projective and Non-Euclidean Geometries | |

MATH 3602 | Advanced Topics in Group Theory | |

MATH 3603 | Advanced Analysis | |

MATH 3702 | Advanced Topics in Rings and Number Theory | |

Engineering and Applied Mathematics | ||

MATH 1808 | Biomathematics | 1 |

MATH 2208 | Ordinary Differential Equations | 1 |

MATH 2209 | Numerical Methods | 1 |

MATH 2301 | Intermediate Linear Algebra | 1 |

MATH 2303 | Functions of a Complex Variable | 1 |

MATH 2501 Vector Calculus | ||

MATH 2601 Combinatorics and Graph Theory | ||

MATH 2603 | Introduction to Analysis | 1 |

MATH 2606 | Statistics | 1 |

MATH 3108 | Advanced Topics in Modeling | 1 |

MATH 3109 | Optimal Control | 1 |

MATH 3208 | Advanced Topics in Dynamical Systems | 1 |

MATH 3209 | Partial Differential Equations | 1 |

Mathematical Economics and Econometrics | ||

MATH 2000 | Linear Algebra | 1 |

MATH 2109 | Optimization | 1 |

MATH 2206 | Probability | 1 |

MATH 2209 | Numerical Methods | 1 |

MATH 2301 | Intermediate Linear Algebra | 1 |

MATH 2603 | Introduction to Analysis | 1 |

MATH 2606 | Statistics | 1 |

MATH 3108 | Advanced Topics in Modeling | 1 |

MATH 3109 | Optimal Control | 1 |

MATH 3208 | Advanced Topics in Dynamical Systems | 1 |

MATH 3209 | Partial Differential Equations | 1 |

MATH 3603 | Advanced Analysis | 1 |

MATH 3606 | Advanced Topics in Probability and Statistics | 1 |

Statistics | ||

MATH 2000 | Linear Algebra | 1 |

MATH 2206 | Probability | 1 |

MATH 2208 | Ordinary Differential Equations | 1 |

MATH 2209 | Numerical Methods | 1 |

MATH 2603 | Introduction to Analysis | 1 |

MATH 2606 | Statistics | 1 |

MATH 3606 | Advanced Topics in Probability and Statistics | 1 |

Operations Research and Management Science | ||

MATH 2000 | Linear Algebra | 1 |

MATH 2020 | Introduction to Mathematical Reasoning | 1 |

MATH 2109 | Optimization | 1 |

MATH 2206 | Probability | 1 |

MATH 2301 | Intermediate Linear Algebra | 1 |

MATH 2601 Combinatorics and Graph Theory | ||

MATH 2606 | Statistics | 1 |

MATH 3109 | Optimal Control | 1 |

MATH 3606 | Advanced Topics in Probability and Statistics | 1 |

*This is an excerpt from the official Bowdoin College Catalogue and Academic Handbook*. View the Catalogue