Module 13 Differentiation and Integration Learning Outcomes

1. Comprehend and apply the diff command 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 necessary Maple commands to find the optimum of a function
4. Comprehend and apply the int command to perform indefinite integration
5. Comprehend and apply the inclusion of a constant of integration in performing indefinite integration using Maple
6. Analyze mathematical expressions to determine where to apply the assume command
7. Analyze and comprehend problems of areas between two functions
8. Comprehend and apply Maple commands to compute the area between two functions
9. Analyze problems of volumes of revolution about the x-axis or y-axis
10. Comprehend and apply the formulas using Maple for computing volumes of revolution
11. Comprehend the parameterization of functions in 3D for purposes of plotting
12. Comprehend and apply special functions