21-122 Integration and Approximation

10 units, Carnegie Mellon University

Integration by trigonometric substitution and partial fractions; arclength; improper integrals; Simpson's and Trapezoidal Rules for numerical integration; separable differential equations, Newton's method, Euler's method, Taylor's Theorem, including a discussion of the remainder, sequences, series, power series. Parametric curves, polar coordinates, vectors, dot product. (Three 50 minute lectures, two 50 minute recitations)

Prerequisites: 21-120 or 21-112

Offered: Spring 2027, Fall 2026, Summer 2026, Spring 2026, Fall 2025

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