Week - 1 |
Using Maple commands, applications of derivative, fisrt and second derivative test, convexity and concavity |
Week - 2 |
Using Maple commands, sketching graphs of functions |
Week - 3 |
Using Maple commands, extremum problems |
Week - 4 |
Using Maple commands, sums and sigma notation, areas as limits of sums |
Week - 5 |
Using Maple commands, properties of the definite integral, the fundamental theorem of calculus |
Week - 6 |
Using Maple commands, the method of substitution, areas of plane regions |
Week - 7 |
Using Maple commands, integration by parts |
Week - 8 |
Using Maple commands, integrals of rational functions |
Week - 9 |
Using Maple commands, volumes, arc length and surface area |
Week - 10 |
Using Maple commands, improper integrals, volumes of solids of revolution |
Week - 11 |
Using Maple commands, mass, moments and centre of mass, centroids |
Week - 12 |
Using Maple commands, sequences and convergence infinite series |
Week - 13 |
Using Maple commands, convergence tests for positive series, absolute and conditional convergence |
Week - 14 |
Using Maple commands, power series |