## ENROLL Course Search

**NOTE:** There are some inconsistencies in the course listing data - ITS is looking into the cause.

**Alternatives:** For requirement lists, please refer to the current catalog. For up-to-the-minute enrollment information, use the "Search for Classes" option in The Hub. If you have any other questions, please email registrar@carleton.edu.

Your search for courses for 22/FA and with code: MATHALGEBRA found 3 courses.

### MATH 282.00 Elementary Theory of Numbers 6 credits

Open: Size: 25, Registered: 21, Waitlist: 0

M | T | W | TH | F |
---|---|---|---|---|

1:50pm3:00pm | 1:50pm3:00pm | 2:20pm3:20pm |

#### Requirements Met:

#### Other Tags:

A first course in number number theory, covering properties of the integers*.* Topics include the Euclidean algorithm, prime factorization, Diophantine equations, congruences, divisibility, Euler’s phi function and other multiplicative functions, primitive roots, and quadratic reciprocity. Along the way we will encounter and explore several famous unsolved problems in number theory. If time permits, we may discuss further topics, including integers as sums of squares, continued fractions, distribution of primes, Mersenne primes, the RSA cryptosystem.

*Prerequisite:* Mathematics 236 or instructor permission

Formerly Math 312

### MATH 342.00 Abstract Algebra I 6 credits

Open: Size: 23, Registered: 20, Waitlist: 0

M | T | W | TH | F |
---|---|---|---|---|

9:50am11:00am | 9:50am11:00am | 9:40am10:40am |

#### Requirements Met:

#### Other Tags:

*Prerequisite:* Mathematics 236 or instructor permission

### MATH 395.00 Geometric Group Theory 6 credits

Open: Size: 15, Registered: 7, Waitlist: 0

M | T | W | TH | F |
---|---|---|---|---|

11:10am12:20pm | 11:10am12:20pm | 12:00pm1:00pm |

#### Requirements Met:

#### Other Tags:

Geometric group theory is the study of (infinite) groups using geometric tools. The underlying principle of geometric group theory is that if a group G acts "nicely" on a space, then information about that space tells us information about the group. This class will introduce tools from topology, graph theory, and geometry and use them to study groups. Topics will include groups acting on trees and (more generally) hyperbolic groups. This course counts toward the Algebra area of the math major.

*Prerequisite:* Mathematics 342 or instructor consent

### Search for Courses

This data updates hourly. For up-to-the-minute enrollment information, use the Search for Classes option in The Hub