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Business Calculus





MyMathLab Handout

Virtual Campus Handout

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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







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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