COURSE OUTLINE
Textbook: Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences , Ernest F.Hauessler, Jr., Richard S. Paul, 11th edition
CHAPTER 1: Limits and Continuity
10.1. Limits
10.2. Limits(continued)
10.4. Continuity
10.5. Continuity Applied to Inequalities
10.6. Review
11.1. The Derivative
11.2. Rules for Differentiation
11.3. The Derivative as a Rate of Change
11.4. Differentiability and Continuity
11.5. Product and Quotient Rules
11.6. The Chain Rule and Power Rule
11.7. Review
4.1. Exponential Functions
4.2. Logarithmic Functions
4.3. Properties of Logarithms
4.4. Logarithmic and Exponential Functions
4.5. Review
12.2. Derivatives of Exponential Functions
12.3. Elasticity of Demand
12.4. Implicit Differentiation
12.5. Logarithmic Differentiation
12.7. Higher Order Derivatives
12.8. Review
13.1. Relative Extrema
13.2. Absolute Extrema on a Closed Interval
13.3. Concavity
13.4. The Second Derivative test
13.5. Asymptotes
13.6 Applied Maxima and Minima
13.7. Review
CHAPTER 6: Integration
14.2 The Indefinite Integral
14.3. Integration with Initial Conditions
14.4. More Integration Formulas
14.5. Techniques of Integration
14.7. The definite integral
14.8. The Fundamental Theorem of Integral Calculus
14.10. Area
14.11. Area between Curves
14.13. Review
15.1. Integration by Parts
15.4. Average Value of a Function
15.5. Differential Equations
15.7. Improper Integrals
15.8. Review
(not in the textbook)
Definition and graphs of sequences
Increasing, decreasing sequences (derivative test)
Convergence of sequences
Definition and Convergence of Infinite Series
Telescoping Series
Integral Test