Module 13 Differentiation and Integration Learning Outcomes

1. Comprehend and apply the diff command and right-click option in Maple to differentiate expressions
2. Comprehend and apply the x$2 designation to take second derivatives and higher derivatives
3. Comprehend and apply the five steps to find the optimum value of a function
4. Comprehend and apply the necessary Maple commands to find the optimum of a function
5. Comprehend and apply the int command and right-click option to perform indefinite integration
6. Comprehend and apply the inclusion of a constant of integration in performing indefinite integration using Maple
7. Comprehend that definite integration has the graphical interpretation of the area between the function and the x-axis
8. Comprehend and apply the assume command to enable definite integration
9. Analyze mathematical expressions to determine where to apply the assume command
10. Analyze problems of areas between two functions
11. Comprehend and apply Maple commands to compute the area between two functions
12. Analyze problems of volumes of revolution about the x-axis or y-axis
13. Comprehend and apply the formulas using Maple for computing volumes of revolution
14. Comprehend the parameterization of functions in 3D for purposes of plotting
15. Comprehend and apply special functions