| 1 | real numbers, quadratic equations and inequalities, and the absolute value and the full value concepts | [2] p. , 1-14 |
| 2 | accurate, analytical examination of the circle and parabola | [2] p. , 20-31 |
| 3 | the concept of function, function definitions and value sets, practical illustrations for some functions | [2] p. , 35-53 |
| 4 | trigonometric and inverse trigonometric functions | [2] p. , 54-65 |
| 5 | exponential and logarithmic functions, hyperbolic functions and their inverses | [2] p. , 65-77 |
| 6 | limit, one-sided limits, limits at infinity, the calculation of limit using limit rules | [2] p. , 81-97 |
| 7 | continuity, discontinuity, the properties of continuous functions | [2] p. , 100-110 |
| 8 | The concept of derivative, rules of differentiation, chain rule, derivative of inverse function | [2] p. , 113-124 |
| 9 | derivative of trigonometric and inverse trigonometric functions, logarithmic and exponential functions derivation | [2] p. , 126-134 |
| 10 | logarithmic derivative, derivative of hyperbolic functions, derivative of implicit functions | [2] p. , 134-143 |
| 11 | Applications of the derivative, the geometric mean, maximum and minimum problems | [2] p. , 151-175 |
| 12 | Derivative theorems (rolle theorem, mean value theorem, generalized mean value theorem) | [2] p. , 177-185 |
| 13 | vague shapes,Hospital rule, differentials | [2] p. , 187-194 |
| 14 | asymptotes, curve drawing | [2] p. , 195-208 |