| 1 | By teaching polar coordinates, to teach students to calculate an area under a function |
| 2 | To teach students definitions of sequences, infinite series and convergence |
| 3 | To teach students how to find a Taylor and a Maclurin series expansion of a function. |
| 4 | To teach students basic properties of multivariable functions |
| 5 | To teach students vector functions |
| 6 | To teach students how to find area, moment and mass by using double integrals |
| 7 | To teach students how to calculate triple integrals in Cartesian coordinates |
| 8 | To teach students transformation rules between different coordinates |
| 9 | To teach students line integrals |
| 10 | To teach students surface integrals and surface area calculations. |