Both mathematics and statistics embody the spirit of the liberal arts. Mathematics is an art, a pure science, a language and an analytical tool for the natural and social sciences. Statistics is the science of giving meaning to data in the context of uncertainty. The first-year mathematics and statistics curricula is deliberately flexible. Our intent is to provide appropriate entry points whatever a student’s level of preparation.
Can I Major in it?
Most first-year students who take a mathematics course will begin in the calculus sequence:
- Math 101: Calculus with Problem Solving. This course provides an introduction to the two fundamental notions of calculus: the derivative and the integral. The five days a week meeting format allows for review of pre-calculus topics as needed. Admission to Math 101 is by placement via Carleton Placement Exam #1 only. After completion of Math 101, students may take Math 120.
- Math 111: Calculus 1. A first introduction to the calculus that develops the derivative and the integral. Designed for students with little or no previous exposure to calculus. Upon successful completion of Math 111, students may take Math 120.
- Math 120: Calculus 2. Inverse functions, integration by parts, modeling with differential equations, vectors, calculus of functions of two independent variables including directional derivatives and double integrals, Lagrange multipliers. Upon successful completion of Math 120, students may take Math 210. (Not open to students who have already received credit for Math 210 or to students who have earned a 4 or 5 on the AP Calculus BC exam.)
- Math 210: Calculus 3. Vectors, curves, calculus of functions of three independent variables, including directional derivatives and triple integrals, cylindrical and spherical coordinates, line integrals, Green’s theorem, improper integrals, sequences and series, power series, Taylor series. (Not open to students who have already received credit for Math 211.)
- Math 211: Multivariable Calculus. This is the entry point for students who received an AP BC exam score of 4 or 5. It develops the calculus in two or more dimensions. Upon successful completion of Math 211, students may take Math 232.
If you have completed the calculus sequence, consider these courses:
- Math 232: Linear Algebra. Topics include linear spaces and linear transformations, eigenvalues, eigenvectors and determinants.
- Math 236: Mathematical Structures. An introduction to proof techniques (induction, proof by contradiction) as well as other foundational aspects of mathematics (equivalence relations, cardinality, etc.).
- Math 240: Probability. (Previously Math 265) An introduction to discrete and continuous probability culminating in the Central Limit Theorem and Law of Large Numbers.
Refer to the Course catalog for a complete description.
There are several options for statistics.
- Stat 120: Introduction to Statistics. If you are curious about statistics or plan to major in the natural sciences, environmental studies, economics, political science or sociology/anthropology, you should take Stat 120. While Stat 120 isn’t a required course for the Statistics major, you can still take this course and major in Stats. Some departments accept AP Statistics credit for their major. Please consult individual departments.
- Math 240, Stat 250: Probability and Introduction to Statistical Inference. (Previously Math 265, Math 275) If you have completed Calculus through Math 120 or 211, we encourage you to consider this sequence (instead of Stat 120). These two courses are required if you plan to major in the statistics.
- Stat 230: Applied Regression Analysis. (Previously Math 245) If you have received a 4 or 5 on the AP Statistics exam, consider Applied Regression Analysis. Completing this course with a C- or better will earn you 6 credits for Stat 120.
If you have questions regarding placement, please contact the Math Placement advisor.