Textbook
Ronald Harshbarger and James Reynolds. Mathematical Applications for the Management, Life and Social Sciences. Tenth Edition, 2013.
Course Contents
1.2 Functions
6.1 Simple Interest and Sequences
1.3 Linear Functions
1.6 Applications of Functions in Business and Economics
2.1 Quadratic Equations: Quadratic Formula
2.2 Quadratic Functions: Parabolas
2.3 Business Applications Using Quadratics
5.1 Exponential Functions
5.2 Logarithmic Functions and Their Properties
5.3 Solution of Exponential Equations
6.2 Compound Interest - Geometric Sequences
9.1 Limits
9.2 Continuous Functions, Limits at Infinity
9.3 Average and Instantaneous Rates of Change
9.4 Derivative Formulas
9.5 The Product Rule and the Quotient Rule
9.6 The Chain Rule and Power Rule
9.7 Using Derivative Formulas
9.8 High Order Derivatives
9.9 Applications of Derivatives in Business and Economics
10.1 Relative Maxima and Minima
10.2 Concavity: Points of Inflection, Second Derivative Test
10.3 Optimization in Business and Economics
11.1 Derivatives of Logarithmic Functions
11.2 Derivatives of Exponential Functions
11.3 Implicit Differentiation
11.5 Applications in Business and Economics
12.1 The Indefinite Integral
12.2 The Power Rule
12.3 Integrals Involving Exponential and Logarithmic Functions
12.4 Applications of the Indefinite Integral in Business and Economics
13.2 The Definite Integral: The Fundamental Theorem of Calculus
13.3 Area Between Two Curves
13.4 Applications of Definite Integrals in Business and Economics
14.1 Functions of Two Variables
14.2 Partial Differentiation
14.3 Applications of Functions of Two Variables in Business and Economics
14.4 Maxima and Minima