| ÖÇ1 | Knows the basic concepts of series and calculates the sum of the series. |
| ÖÇ2 | Performs tests for series with positive terms |
| ÖÇ3 | Performs convergence tests for series with any terms |
| ÖÇ4 | Defines infinite multiplication, finds the value of the product and examines its character |
| ÖÇ5 | Knows and applies pointwise and uniform convergence in sequences of functions. |
| ÖÇ6 | Knows and applies the relationship between uniform convergence and integral and derivative. |
| ÖÇ7 | Knows and applies the relationship between uniform convergence of function series and integral and derivative. |
| ÖÇ8 | Knows and applies derivatives and integrals of power series. |
| ÖÇ9 | Knows and applies the Taylor and Maclaurin series. |
| ÖÇ10 | Learns about different types of generalized integrals and applies convergence tests. |
| ÖÇ11 | Learns and applies Gamma and Beta Functions. |
| ÖÇ12 | Learns and applies Laplace transforms. |
| ÖÇ13 | Knows and applies the limit, continuity, derivative, and integral of vector-valued functions. |
| ÖÇ14 | Recognizes spatial curves and knows their properties. |