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Calculus 1 Class Notes by Bob Gardner



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Calculus 1 Class Notes written by Bob Gardner cover the following topics.

  • Functions.
    Functions and Their Graphs, Trigonometric Functions, Exponential Functions, Inverse Functions and Logarithms, Study Guide

  • Limits and Continuity.
    Rates of Change and Tangents to Curves, Limits of a Function and Limit Laws, The Precise Definition of Limit, One-Sided Limits, Continuity, Limits Involving Infinity, Asymptotes of Graphs, Study Guide

  • Differentiation.
    Tangents and the Derivative at a Point, The Derivative as a Function, Differentiation Rules, The Derivative as a Rate of Change, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation, Derivatives of Inverse Functions and Logarithms, Inverse Trigonometric Functions, Related Rates, Linearization and Differentials, Study Guide

  • Applications of Derivatives.
    Extreme Values of Functions, The Mean Value Theorem, Monotone Functions and the First Derivative Test, Concavity and Curve Sketching, Indeterminate Forms and L'Hopital's Rule, Applied Optimization, Newton's Method, Antiderviatives, Study Guide
  • Integration.
    Area and Estimating with Finite Sums, Sigma Notation and Limits of Finite Sums, The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals and the Substitution Method, Substitution and Area Between Curves, Study Guide

  • Read Online Calculus 1 Class Notes by Bob Gardner


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