Introduction to Calculus

A 10 hour course (60 slides) available from mathedoeswork.com that is intended to complement a calculus course. It covers

• Introduction - what is calculus all about

  • Rates of change and areas

  • The giants on whose shoulders Newton stood

• Differentiation

  • How it works

  • Introduction to limits

  • Higher order derivatives

  • Applications

    • Graphing

    • Finding roots of polynomials

    • Optimization

    • Infinite series

    • More complex functions - the 3 rules

• Integration

  • Finding areas

  • Integrals and Antiderivatives

  • Methods of integration

• Differential equations

  • Examples

  • Slope fields

  • Euler's method

• Sequences and Series

  • Arithmetic

  • Geometric

  • Interest and depreciation

Sample slides are available from our contact page.