Business Calculus

THIS SEMESTER ON-LINE

REVIEW TEST 1

REVIEW TEST 2

REVIEW TEST 3

Notes	Model Exercises
1. Functions and Their Graphs	ME 1
2. The Algebra of a Functions	ME 2
3. Functions and Mathematical Models	ME 3
4. Limits	ME 4
5. One-Side Limits and Continuity	ME 5
6. The Derivative	ME 6
7. Basic Rules of Differentiations	ME 7
8. The Product and Quotient Rules	ME 8
9. The Chain Rule	ME 9
10. Marginal Functions in Economics	ME 10
11. Higher-Order Derivative	ME 11
12. Implicit Differentiation and Related rates	ME 12
13. Applications of First Derivative	ME 13
14. Applications of the Second Derivative	ME 14
15. Curve Sketching	ME 15
16. Optimization	ME 16
17. Differentiation of Exponential Functions	ME 17
18. Differentiation of Logarithmic Functions	ME 18
19. Antiderivatives and Rules of Integration	ME 19
20. Integration by Substitution	ME 20
21. The Fundamental Theorem of Calculus	ME 21
22. Evaluating Definite Integrals	ME 22
23. Area Between Two Curves	ME 23

Course Outcomes

Objectives	Model Exercises	Practice Exercises
Find the limit of a function numerically and algebraically	ME 1
Calculate limits involving infinity	ME 2
Compute the average rate of change using the difference quotient	ME 3
Find the derivative of a function using the product rule	ME 4
Find the derivative of a function using the quotient rule	ME 5
Find the derivative of a function using the chain rule	ME 6
Compute the derivative implicitly	ME 7
Apply implicit differentiation to relate rates application	ME 8
Perform margin analysis in an applied problem	ME 9
Find and classify the local extreme values of a function	ME 10
Use the second derivative to determine concavity	ME 11
Find the antiderivative of a function	ME 12
Compute the value of a definite integral using the Fund. Theorem	ME 13
Apply the substitution method to compute integral	ME 14

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