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