Caluclus 1 Lecture Notes

This note describes the following topics: Derivatives, Integrals, Limits, and
Continuity, Types of Basic Functions, Graphing Piecewise Functions,
Graphing using Transformations, Composition of Functions, Derivatives and Rates
of Change, Derivative of a Function, Differentation Formulas, Derivative of Trig
Functions, The Chain Rule, Implicit Differentation, Applications of
Differentiation, Find Max and Minimum Values, Extreme Value Theorem, Fermat's
Theorem, Limits at Infinity, Asymptotes, Sketching Curves, The Mean Value
Theorem, Integration, The Definite Integral, The Fundamental Theorem of
Calculus, Indefinite Integrals and Applications, Integration by Substitution.

**Author(s):**
Prof. Richard Blecksmith, Northern Illinois University

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