Module 3 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. Comprehend that definite integration has the graphical interpretation of the sum of lengths (to compute an area)
7. Comprehend that definite integration has the graphical interpretation of the sum of areas (to compute a volume)
8. Analyze mathematical expressions to determine where to apply the assume command
9. Analyze and comprehend problems of areas between two functions
10. Comprehend and apply Maple commands to compute the area between two functions
11. Analyze problems of volumes of revolution about the x-axis or y-axis
12. Comprehend and apply the formulas using Maple for computing volumes of revolution
13. Comprehend the parameterization of functions in 3D for purposes of plotting
14. Comprehend and apply special functions