4 Modeling Accumulations

• 4.1 Introduction to the Issues

  4.1.1 The Area of a Circle
  4.1.2 What is the Area of a Circle?
  4.1.3 Another Calculation of the Area of a Circle
  4.1.4 The Method of Accumulations
  4.1.5 The Circumference of a Circle
  4.1.6 The Volume of Water in a River
  4.1.7 An Agenda for Future Work
  

• 4.2 The Definite Integral
• 4.3 Properties of the Definite Integral
• 4.4 The Fundamental Theorem of Calculus
• 4.5 Techniques of Integration
• 4.6 Trapezoid Rule
• 4.7 Areas Between Curves
• 4.8 Volumes of Solids of Revolution
• 4.9 Arc Length
• 4.10 Inverse Trigonometric Functions
• 4.11 Case Study: Flood Watch