## 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

The Carleton Math Placement Exams are hosted on Moodle, Carleton’s course management site.  You must authenticate with your Carleton College username and password.  If you are an incoming freshman, you should receive your authentication credentials in early May.

### 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 120.
• Math 111: Calculus 1. This course is a first introduction to the calculus that develops the derivative and the integral. It is designed for students with little or no previous exposure to calculus but who have a solid background in pre-calculus topics. 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.  This course covers 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, and Lagrange multipliers. It is strongly recommended for natural science majors. Upon completion of Math 120, students may take Math 210, but not Math 211.
• Math 210: Calculus 3. This course covers 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, and Taylor series. Students who earned an AP BC score of 4 or 5 should take Math 211 instead of this course. Students who took Calculus 2 outside of Carleton should talk to the Math Placement Advisor to determine which course to take. Upon successful completion of Math 210, students may take Math 232.
• Math 211: Multivariable Calculus.  This course develops the calculus in two or more dimensions. It requires an AP BC score of 4 or 5 or a placement via Carleton Placement Exam #3. Students who took Math 120 (Calculus 2) here at Carleton should register for Math 210, not Math 211.  Students who have studied multivariable calculus elsewhere should take Carleton Placement Exam #4 to determine whether to register for Math 211 or Math 232. Upon successful completion of Math 211, students may take Math 232.

### AP Credit

• Calculus AB Score of 4 or 5: take Math 120.  After successfully completing Math 120 with a grade of C- or better, you will receive 6 credits for Math 111 (which can count towards graduation and the mathematics major, but not the mathematics minor).
• 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, but not the mathematics minor).
• No advanced placement credit is awarded for AP scores below 4.  Students with these scores should take Carleton Placement Exam #2 to determine the appropriate Calculus placement.

### 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 240 (Probability).  Please consult the Carleton Course Catalog or speak to a mathematics professor.

## Statistics

### Introduction to Statistics

• If you plan to major in the natural sciences, environmental studies, economic, political science or sociology/anthropology, you should take Stat 120 (formerly Math 215). Some departments accept AP credit.  Please consult individual departments.
• Students with a background in Multivariable calculus are strongly encouraged to take the Probability-Introduction to Statistical Inference sequence Math 240-Stat 250 (formerly Math 265-275) instead of Stat 120.

### AP Stats Credit:

• Score of 4 or 5: placement into Stat 230 (formerly Math 245) Applied Regression Analysis. If you complete Stat 230 with a grade of C- or better, then you will receive 6 credits (for Stat 120).

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.