| 1 | Knowing the basic concepts related to series, being able to calculate the sum of a series. |
| 2 | Ability to apply convergence tests to series of any term. |
| 3 | Ability to define infinite product, and to find the value and character of the product. |
| 4 | Ability to find pointwise and uniform convergence in function sequences, and to understand the integral and derivative relationship of uniform convergence. |
| 5 | Knowing and being able to apply derivatives and integrals of power series. |
| 6 | Knowing the types of generalized integrals and being able to apply convergence tests. |
| 7 | Learning and applying Gamma and Beta functions and Laplace transforms. |
| 8 | Knowing the limit, continuity, derivative, and integral of vector-valued functions. |
| 9 | Knowing space curves |