Lecture Notes for Business Calculus
1. Functions and Their Graphs
2. The Algebra of a Function
3. Functions and Mathematical Models
4. Limits
5. One-side Limits and Continuity
6. The Derivative
7. Basic Rules of Differentiation
8. The Product and Quotient Rules
9. The Chain Rule
10. The Marginal Finctions in Economics
11. Higher-Order Derivatives
12. Implicite Differentiation and Related Rates
13. Application of the First Derivative
14. Applications of the Second Derivative
15. Curve Sketching
16. Optimization Problems
- Examples of Optimization
17. Differentiation of Exponential
- Examples Exponentials
18. Differentiation of Logarithmic Functions
- Examples of logarithms I
- Examples of logarithms II
19. Antiderivatives and the Rules of Integration
20. Integration by Substitution
21. The Fundamental Theorem of Calculus
22. Evaluating Definite Integrals
23. Area between Two Curves