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It is the primary course within the three part honors calculus sequence for college kids majoring in arithmetic, science or engineering. Topics include limits, continuity, differentiation, functions of differentiation, and integration. Applications of the spinoff are covered intimately, including approximation of errors using differentials, maxima and minima issues, curve sketching, optimization problems, and Newton’s technique. Topics on integration embody Riemann sums, properties of definite integrals, integration by substitution and integrals involving logarithmic exponential and trigonometric features.

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