MATH 130: Business Calculus
Deborah Hughes-Hallett, et al. Applied Calculus, 7th Edition (packaged with WileyPlus). ISBN: 978-1-119-799085.
Chapter 1: Functions and Change
1.1 What is a Function?
1.2 Linear Functions
1.3 Average rate of change and relative change
1.4 Applications of functions to economics
1.5 Exponential functions
1.6 The natural logarithm
1.7 Exponential growth and decay
Chapter 2: Rate of Change: The Derivative
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: Shortcuts to Differentiation
3.1 Derivative formulas for powers and polynomials
3.2 Exponential and logarithmic functions
3.3 The chain rule
3.4 The product and quotient rules
Chapter 4: Using the derivative
4.1 Local maxima and minima
4.2 Inflections points
4.3 Global maxima and minima
4.4 Profit, Cost, and Revenue
4.5 Average cost
4.6 Elasticity of demand
Chapter 5: Accumulated Change: The Definite Integral
5.1 Distance and Accumulated Change
5.2 The Definite Integral
5.3 The Definite Integral as Area
5.5 Total Change and the Fundamental Theorem of Calculus
Chapter 6: Antiderivatives and Applications
6.4 Application: Consumer and Producer Surplus
6.5 Application: Present and Future Value
Chapter 8: Functions of Several Variables
8.1 Understanding functions of two variables
8.2 Contour diagrams
8.3 Partial derivatives
8.4 Computing partial derivatives algebraically
8.5 Critical points and optimization
8.6 Constrained optimization