Calculus 1

The course covers the following topics: One-variable functions (graphic curves, limits, continuity and derivability). Differential techniques for implicit and explicit functions. Derivative applications (studying function transformations, local boundary limits, drawing curves, and problems with maximum and minimum limits). middle value theory. Infinite and finite integrals. Technology of Integrations (Individual and Substitution) Trigonometric Integrals and Substitution. Differentiate fractions to calculate the integral of a fraction. Applications of Finite Integrals to Calculating Area, Volume, Lengths, and Rotational Surfaces.

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