At Dartmouth, we teach single and multivariable calculus over four core courses - math 1, 3, 8, and 13. While there are other variations on these courses (don't worry, we'll get there soon), some or all of these four courses are the most common choices for students who wish to study Calculus. Next, briefly we summarize the content of each course, noting that the course heading is also a link to a complete syllabus.

Math 1: Introduction to Calculus: Pre-calculus review, functions and their manipulations, limits, continuity, and derivatives.

Math 3: Calculus: Limits, derivatives, integrals, Fundamental Theorem of Calculus, and basic techniques of integration.

Math 8: Single and Multivariable Calculus: Advanced techniques of integration, topics in advanced single variable calculus, differential multivariable calculus.

Math 13: Multivariable Calculus: Advanced differential multivariable calculus, integral calculus of vector-valued functions..