Calculus Revisited: Single Variable Calculus
Calculus Revisited: Single Variable Calculus (Res.18-006, MIT OCW). Taught by Professor Herbert Gross, this course gives an overview of single variable calculus covering various topics: sets, functions, differential calculus, integral calculus, trigonometric functions, logarithms, and infinite series. Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time. (from ocw.mit.edu)
| Part IV, Lecture 01 - The Definite Integral |
Axiomatic approach to area; area approximations by upper and lower bounds; the method of exhaustion; using limits to find areas of nonrectilinear regions; piecewise continuity; trapezoidal approximations.
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