THIS SEMESTER ON-LINE

Schedule

REVIEW TEST 1

REVIEW TEST 2

REVIEW TEST 3

Notes

Model

Exercises

1.  Functions and Their GraphsME 1
2.  The Algebra of a FunctionsME 2
3.  Functions and Mathematical ModelsME 3
4.  LimitsME 4
5.  One-Side Limits and ContinuityME 5
6.  The DerivativeME 6
7.  Basic Rules of DifferentiationsME 7
8.  The Product and Quotient RulesME 8
9.  The Chain RuleME 9
10. Marginal Functions in EconomicsME 10
11. Higher-Order DerivativeME 11
12. Implicit Differentiation and Related ratesME 12
13. Applications of First DerivativeME 13
14. Applications of the Second DerivativeME 14
15. Curve SketchingME 15
16. OptimizationME 16
17. Differentiation of Exponential FunctionsME 17
18. Differentiation of Logarithmic FunctionsME 18
19. Antiderivatives and Rules of IntegrationME 19
20. Integration by SubstitutionME 20
21. The Fundamental Theorem of CalculusME 21
22. Evaluating Definite IntegralsME 22
23. Area Between Two CurvesME 23

Course Outcomes

Objectives

Model

Exercises

Practice

Exercises

Find the limit of a function numerically and algebraicallyME 1
Calculate limits involving infinityME 2
Compute the average rate of change using the difference quotientME 3
Find the derivative of a function using the product ruleME 4
Find the derivative of a function using the quotient ruleME 5
Find the derivative of a function using the chain ruleME 6
Compute the derivative implicitlyME 7
Apply implicit differentiation to relate rates applicationME 8
Perform margin analysis in an applied problemME 9
Find and classify the local extreme values of a functionME 10
Use the second derivative to determine concavityME 11
Find the antiderivative of a functionME 12
Compute the value of a definite integral using the Fund. TheoremME 13
Apply the substitution method to compute integralME 14