Calculus 1

 This course covers the following topics:

Functions of a single variable (graphs, limits, continuity and differentiability), techniques of differentiation (explicit and implicit), applications of derivatives (local extrema, curve sketching, and max-min problems), mean-value theorem, indefinite and definite integral, techniques of integration (by parts and substitution methods), trigonometric substitutions, partial fractions, applications of the definite integrals to area, volume, arc length and surface of revolution.
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