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21-122 Integration, Differential Equations, and Approximation Fall and Spring: 10 units Integration by trigonometric substitution and partial fractions; arclength; improper integrals; Simpson's and Trapezoidal Rules for numerical integration; separable differential equations, first order linear differential equations, homogeneous second order linear differential equations with constant coefficients. Indeterminate forms, Newton's method, Taylor's Theorem including a discussion of the remainder, sequences, series, power series. 3 hours lecture, 2 hours recitation. Prerequisite: 21-120. Suggestions of what a student starting calculus should know. |