MIT OpenCourseWare | Mathematics | 18.01 Single Variable Calculus, Fall 2003

18.01 Single Variable Calculus, Fall 2003

As h becomes small, the difference quotients [sin(x+h)-sin(x)]/h
limit to cos(x), the derivative of sin(x). (Image by Prof. Starr).

Highlights of this Course

This is the first course in a two-part sequence on Calculus 18.01 and 18.02. The website features problem sets, exams, and course notes.

Course Description

This introductory Calculus course covers differentiation and integration of functions of one variable, with applications. Topics include:

Concepts of function, limits, and continuity
Differentiation rules, application to graphing, rates, approximations, and extremum problems
Definite and indefinite integration
Fundamental theorem of calculus
Applications of integration to geometry and science
Elementary functions
Techniques of integration
Approximation of definite integrals, improper integrals, and L'Hôpital's rule

MATLAB® is a trademark of The MathWorks, Inc.

Staff

Instructor:
Prof. Jason Starr

Course Meeting Times

Lectures:
Three sessions / week
1 hour / session

Recitations:
Two sessions / week
1 hour / session

Level

Undergraduate

Feedback

Send feedback about OCW or this course.