# 2 Classes (24 Units)

**18.01**(12),

**18.02**(12)

# 18.01 Calculus

Differentiation and integration of functions of one variable, with applications. Informal treatment of limits and continuity. Differentiation: definition, rules, application to graphing, rates, approximations, and extremum problems. Indefinite integration; separable first-order differential equations. Definite integral; fundamental theorem of calculus. Applications of integration to geometry and science. Elementary functions. Techniques of integration. Polar coordinates. L'Hopital's rule. Improper integrals. Infinite series: geometric, p-harmonic, simple comparison tests, power series for some elementary functions.

This class has no prerequisites.

18.01 will be offered this semester (Fall 2017). It is instructed by J. Speck.

Lecture occurs 1:00 PM to 2:00 PM on Tuesdays and Thursdays in 1-190.

This class counts for a total of 12 credits.

You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.01&btnG=Google+Search&inurl=https site or on the 18.01 Stellar site.

# 18.02 Calculus

Calculus of several variables. Vector algebra in 3-space, determinants, matrices. Vector-valued functions of one variable, space motion. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Double integrals and line integrals in the plane; exact differentials and conservative fields; Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications.

This class has 18.01 as a prerequisite.

18.02 will be offered this semester (Fall 2017). It is instructed by J. W. Bush.

Lecture occurs 1:00 PM to 2:00 PM on Tuesdays and Thursdays in 26-100.

This class counts for a total of 12 credits.

You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.02&btnG=Google+Search&inurl=https site or on the 18.02 Stellar site.