Calculus

 

Calculus

Derivatives, integrals, calculus applications, differential equations, and more.

Major Concepts and Skills Include:

  • Understanding limits and continuity
  • Working with derivatives and derivative rules
  • Using Implicit Differentiation
  • Applying L’Hôpital’s Rule
  • Working with definite and indefinite integrals
  • Working with exponential and logarithmic functions and their derivatives

Additional Concepts and Skills:

  • Applying the Chain Rule and the Mean Value Theorem
  • Optimizing with calculus
  • Understanding antiderivatives
  • Working with integration formulas
  • Solving differential equations
  • Applying calculus to physics and economics

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View In-Depth

Explore Calculus's Scope and Sequence

Table of Contents:

  • Terminology and Graphing
  • Quadratic Equations
  • Review of Conic Sections
  • Review of Systems of Equations
  • Functions
  • Review of Trigonometry
  • Review of Exponents and Logarithms
  • Limits
  • Continuity in Limits
  • Definition of a Derivative
  • Derivative Rules
  • Chain Rule
  • Derivatives of Trigonometric Functions
  • Derivatives of ex and lnx
  • Implicit Differentiation
  • Graphing with the First Derivative
  • Graphing with the Second Derivative
  • Mean Value Theorem
  • L’Hopital’s Rule
  • Physics Applications
  • Economics Applications
  • Optimization Applications
  • Related Rates
  • Antiderivatives
  • Integration Formulas
  • Area Under a Curve
  • Definite Integrals
  • Area Between Two Curves
  • Inverse Trigonometric Functions
  • Integration using Tables
  • Differential Equations
  • Differential Equation Applications
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