## Calculus/Statistics Placement

### Calculus

Not sure which Calculus course you should start with? Look at the Calculus Placement Decision Chart to see which placement exam to take.

Carleton Math Placement Exams

Guide to Calculus

• 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 121.
• 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. Placement is through Carleton Placement Exam #1 or Carleton Placement Exam #2. Upon successful completion of Math 111, students may take Math 120.
• Math 120: Calculus 2. Inverse functions, integration by parts, improper integrals, modeling with differential equations, vectors,  calculus of functions of two independent variables including directional derivatives and double integrals, Lagrange multipliers. Strongly recommended for natural science majors. Upon completion of Math 120, students may take Math 210.
• 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, sequences and series, power series, Taylor series. If you received an AP BC score of 4/5, take Math 211 instead. If you took Calculus 2 outside of Carleton, talk to the Math Placement Advisor. Upon successful completion of Math 210, students may take Math 232.
• Math 211: Multivariable Calculus. Develops the calculus in two or more dimensions. Requires an AP BC score of 4 or 5, or a placement via Carleton Placement Exam #3. If you took Math 120 (Calculus 2) here at Carleton, then register for Math 210. Upon successful completion of Math 211, students may take Math 232.

AP Credit

• Calculus AB Score of 4 or 5: take Math 120.  Score of 3: take Carleton Placement Exam #2 to determine which Calculus class you should enroll in. If you successfully complete Math 120 with a grade of C- or better, then you will receive 6 credits for Math 111 (which can count towards graduation and the mathematics major.)
• Calculus BC Score of 4 or 5: take Math 211.  After successfully completing Math 211 with a grade of C- or better, you will receive 12 credits for Math 111 and 120 (which can count towards graduation and the mathematics major).

IB Credit

• If you scored a 5 on the Higher-Level International Baccalaureate (IB) Exam, take placement exam #3.

Students with more extensive background in mathematics may wish to consider Math 232 (Linear Algebra), Math 236 (Mathematical Structures) or Math 265 (Probability).  Please consult the Carleton Course Catalog or speak to a mathematics professor.

### Statistics

Introduction to Statistics

• We offer two versions of introductory statistics courses: Math 115: Statistics: Concepts and Applications, or Math 215: Introduction to Statistics.
• If you plan to major in the natural sciences, environmental studies, economic or sociology/anthropology, you should take Math 215. If you plan to major in Political Science, you have the option to take Math 115 or 215, but we urge you to consider taking Math 215.
• Students with a background in Multi-variable calculus are strongly encouraged to take the Probability-Introduction to Statistical Inference sequence (Math 265-275) instead of Math 215.

AP Stats Credit:

• Score of 4 or 5: placement into Mathematics 245 (Applied Regression Analysis). If you complete Math 245 with a grade of C- or better, then you will receive 6 credits (for Math 215).

Please consult the Catalog description of Statistics Courses for information on the content of our courses or the Statistics major for information on majoring in Statistics.