# 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 (Spring 2019). It is instructed by J. W. Bush.

Lecture occurs 11:00 AM to 12:00 PM on Tuesdays and Thursdays in 2-135.

This class counts for a total of 12 credits.

You can find more information at the MIT + 18.01 - Google Search 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 (Spring 2019). It is instructed by L. Guth.

Lecture occurs 11:00 AM to 12:00 PM on Tuesdays and Thursdays in 54-100.

This class counts for a total of 12 credits.

You can find more information at the MIT + 18.02 - Google Search site or on the 18.02 Stellar site.