MA441

Table of Contents

• Limits

  • Secant and Tangent Lines
  • The Limit of sin x / x as x goes to 0
  • f(x) = sin (pi/x)
  • Piecewise function example (with jump discontinuity)

• Derivatives

  • Secant and Tangent lines
  • lim [(sin x)/ x] as x ->0
  • Tangent Lines and Approximations
  • Linear Approximation Error

• Integrals

  • Upper and lower Riemann Sums
  • Riemann Sums
  • Riemann Sums
  • Definite Integral