## Mathematics and Statistics

Mathematics is an art, a pure science, a language, and an analytical tool for the natural and social sciences, a means of exploring philosophical questions, and a beautiful edifice that is a tribute to human creativity. The mathematics curriculum is designed to provide essential skills for students in a variety of disciplines and to provide mathematics majors with a deep understanding of mathematics as it has evolved over the past two thousand years and how it is practiced today.

Statistics is the science of giving meaning to data in the context of uncertainty. Statisticians are involved in data collection and study design, data analysis, and the communication of information to a broad audience. The statistics curriculum is designed to balance both statistical theory and application, and will provide students the opportunity to work on real world data problems and enhance their communication skills.

Students who wish to major in both Mathematics and Statistics should note the College policy that double majors may count no more than four courses toward both majors. Courses for which a student earns AP Credit, such as calculus, are included among these four courses.

**Mathematics Skills Center:**

This Center offers extra assistance to students in lower-level mathematics courses and other courses requiring basic mathematical skills.

### Requirements for the Mathematics Major

The Mathematics major requires 72 credits:

A. Required Core Courses:

- Mathematics 101 or 111, 120, 210 or 211 Calculus
- Mathematics 232 Linear Algebra
- Mathematics 236 Mathematical Structures

B. Electives (36 credits): Six courses from among:

- Mathematics courses numbered above 236
- Computer Science 252, 254, 352
- Statistics 250, 320, 340

At least four of these electives must be Carleton courses with a MATH designation. At least three of the following five areas of mathematics must be represented by the six electives (36 credits).

- Algebra: Mathematics 312, 332, 342, 352
- Analysis: Mathematics 251, 261, 321, 331, 361
- Applied Mathematics: Mathematics 240 (formerly Mathematics 265), 241, 271, 341, Statistics 250 (formerly Mathematics 275), Statistics 320 (formerly Mathematics 315), Statistics 340 (formerly Mathematics 315)
- Discrete Structures: Mathematics 333, Computer Science 252, 254, 352
- Geometry and Topology: Mathematics 244, 344, 354

Of the six advanced courses, at least four must be Carleton courses with a Mathematics designation. Advanced courses substituted for Mathematics 232 or Mathematics 236 must also be Carleton courses with a Mathematics designation.

In addition, each senior major must complete an integrative exercise, Mathematics 400 (6 credits) which can be either a group or individual project. Majors must also accumulate eight talk credits during their junior and senior year by attending colloquia and the comps talks of their fellow mathematics or statistics majors. Students who major in both Mathematics and Statistics must accumulate a total of thirteen talk credits. We encourage majors to participate in the numerous activities that take place in the department.

Potential majors with especially strong preparation may petition the department for permission to substitute an advanced course for Mathematics 232 and/or for Mathematics 236. Advanced courses substituted for Mathematics 232 or Mathematics 236 must also be Carleton courses with a Mathematics designation.

There are many patterns of courses for the major depending upon a student's mathematical interests and career goals. A guide for majors, which supplies information about suitable patterns of courses, is available on the Mathematics and Statistics Department website.

**Major under Combined Plan in Engineering:**

In addition to completing requirements for the mathematics major listed above including Mathematics 241 and 341, the student should take the following courses required for admission to engineering schools: Two terms of 100-level Physics, Chemistry 123, 224, and Computer Science 111.

### Requirements for the Statistics Major

The requirements for the Statistics Major are 74 credits:

** A. Supporting Courses** (30 credits)**:**

- Mathematics 101 or 111, 120, 210 or 211 Calculus
- Mathematics 232 Linear Algebra
- Computer Science 111 Introduction to Computer Science

** B. Required Core** (18 credits)**:** All of the following, of which at least two must be taken at Carleton

- Statistics 230 (formerly Mathematics 245) Applied Regression Analysis
- Mathematics 240 (formerly Mathematics 265) Probability
- Statistics 250 (formerly Mathematics 275) Introduction to Statistical Inference

**C. Electives** (18 credits)**:** Three electives, of which at least two must be Carleton courses with a Statistics designation

- Statistics 220 (formerly Mathematics 285) Introduction to Data Science
- Statistics 260 (formerly Mathematics 255) Introduction to Sampling Techniques
- Statistics 320 (formerly Mathematics 315) Time Series Analysis
- Statistics 330 (formerly Mathematics 345) Advanced Statistical Modeling
- Statistics 340 (formerly Mathematics 315) Bayesian Statistics
- Mathematics 271 (formerly Mathematics 295 Numerical Analysis) Computational Mathematics
- Computer Science 314 Data Visualization
- Computer Science 320 Machine Learning
- Computer Science 324 Data Mining
- Computer Science 362 Computational Biology

** D. Statistical Practice** (2 credits)**:**

- Statistics 285 (formerly Mathematics 280) Statistical Consulting

In addition, each senior major must complete an integrative exercise. Statistics 400 (6 credits), which can be either a group or individual project. Majors must accumulate eight talk credits during their junior and senior year by attending department colloquia and the comps talks of their fellow mathematics or statistics majors. Students who major in both Mathematics and Statistics must accumulate a total of thirteen talk credits. We encourage majors to participate in the numerous activities that take place in the department.

We recommend statistics majors also take courses in a discipline in which statistics can be applied. Students interested in data science should consider taking additional computer science courses.

Students considering graduate school in statistics or biostatistics are strongly encouraged to take Mathematics 236 (Mathematical Structures) and Mathematics 321 (Real Analysis). Consult a statistics faculty member for more information specific to your choice of program.

### Requirements for the Mathematics Minor

To earn a minor in Mathematics, a student must earn 42 credits from courses taken in the Department of Mathematics and Statistics at Carleton. (Students who place out of courses based on work done outside of Carleton are still required to earn 42 credits from courses taken in the Department of Mathematics and Statistics at Carleton.) At least 36 of the required 42 credits must come from courses with a Mathematics designation. In addition, the only Statistics courses which can be counted toward the Mathematics minor are Statistics 250, 320 and 340.

Students who wish to major in Statistics and minor in Mathematics should note the College policy that a student may not fulfill more than half the credits for a minor from the courses counted toward their major or majors.