Chapter 1 – Functions and Change
1.1 What Is A Function?
1.3 Rates of Change
1.4 Applications to Economics
1.5 & 1.6 Exponential and Logs
1.8 New Functions from Old
1.10 Periodic Functions
Chapter 2 – Rate of Change: The Derivativ
2.1 Instantaneous Rate of Change
2.2 The Derivative Function
2.3 Interpretations of the Derivative
2.4 The Second Derivative
2.5 Marginal Cost and Revenue
Chapter 3 – Short-Cuts To Differentiation
3.1 Derivative Powers& Polynomials
3.2 Exponential and Log Functions
3.3 The Chain Rule
3.4 The Product and Quotient Rules
3.5 Derivatives of Periodic Function
Chapter 4 – Using the Derivative
4.1 Local Maxima and Minima
4.2 Inflection Points
4.3 Global Maxima and Minima
4.4 Marginal Cost & Revenue
4.6 Elasticity of Demand
4.7 Logistic Growth
4.8 Surge Functions
Chapter 5 – Accumulated Change: the Definite Integral
5.1 Accumulated Change
5.2 The Definite Integral
5.3 The Definite Integral as Area
5.4 Interpretation of the Definite Integral
5.5 Fundamental Theorem of Calculus