# 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.

### 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