## Guide to the Math and Math/Stats Major

- Requirements for the Mathematics major
- Requirements for the Mathematics/Statistics major
- Some possible patterns of courses for the major
- Senior comps

The Carleton Mathematics department offers two tracks within the major, **Mathematics** or **Mathematics/Statistics** which are designed to reflect the depth and diversity of modern mathematics or statistics. We seek to provide you with an accurate picture of the nature of mathematics or statistics itself, its applications, and its connections to other disciplines.

Through our courses, seminars, colloquia, and other activities, mathematics majors will:

- learn a broad range of mathematical topics;
- increase your ability to read and write mathematical proofs;
- become a competent mathematical problem solver;
- be exposed to the mathematical literature available in our excellent library;
- learn how mathematics or statistics is applied to real problems;
- become aware of the connections between the various branches of mathematics, and between mathematics and other disciplines.

Students on the mathematics/statistics track will

- learn how to model real-world problems,
- see how statistics is applied in different fields,
- gain experience with statistical software.

### REQUIREMENTS FOR THE MAJORS

We offer two tracks, Mathematics or Mathematics/Statistics. Both options include requirements that majors (a) complete the senior integrative exercise and (b) accumulate a total of eight talk-credits during the junior and senior years by attending the comps talks of their colleagues. In addition, we encourage our majors to participate in the numerous activities that take place around the department.

### Mathematics major

The basic calculus/linear algebra sequence (Math 121, 211, and 232) and the course on mathematical structures (Math 236) are required of all majors. Also, each major must take at least 6 courses (36 credits) numbered above 236 chosen from at least three of the following areas. Of these 6 courses above Math 236, 4 must be courses offered by the department. Consult the catalog for course descriptions.

**Algebra**:

Math 312 - Elementary Theory of Numbers

Math 332 - Advanced Linear Algebra

Math 342 - Abstract Algebra I

Math 352 - Abstract Algebra II**Analysis**:

Math 251 - Chaotic Dynamics

Math 321 - Real Analysis I

Math 331 - Real Analysis II

Math 351 - Functions of a Complex Variable**Applied Mathematics**:

Math 241 - Ordinary Differential Equations

Math 245 - Applied Regression Analysis

Math 265 - Probability

Math 275 - Introduction to Statistical Inference

Math 315 - Topics in Probability and Statistics

Math 341 - Fourier Series and Boundary Value Problems**Discrete Structures**:

CS 252 - Algorithms

CS 254 - Automata & Computability

Math 333 - Combinatorial Theory**Geometry/Topology**:

Math 244 - Geometries

Math 344 - Differential Geometry

Math 354 - Topology

Students must also complete the Senior Integrative Exercise ("Comps")

### Mathematics/Statistics major

A Carleton student will be able to obtain a major in mathematics following a statistics track by taking the following courses above Calculus:

- Math 232 - Linear Algebra
- Math 236 - Structures
- Math 245 - Applied Regression Analysis
- Math 265 - Probability
- Math 275 - Statistical Inference
- Math 315 - Topics in Probability and Statistics
- plus two additional Mathematics courses above math 236 (one of which may be Computer Science 324), at least one of which must be taken outside of the Applied Mathematics area.

CS 111 (Introduction to Computer Science) is also recommended.

It is strongly recommended that students on this track engage in some data analysis learning experience outside the classroom such as an internship involving data analysis, a research experience with a statistician, either on or off campus, or a comps project that is explicitly statistical in nature. Students interested in graduate school in statistics are advised to take Math 321 (Real Analysis I).

Students must also complete the Senior Integrative Exercise ("Comps").

### Our Majors

Meet the current math majors and math/stats majors [On-campus only]

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