Mathematics: from the birth of numbers

1. Numbers and language.

2. Systems of numeration.

3. Types of numbers.

4. Cornerstones of mathematics.

5. Combinatorics.

6. Symbolic logic.

7. Set theory.

8. Introduction to sequences and series.

9. Theory of equations.

10. Introduction to functions.

11. Overture to the geometries.

12. Elementary geometry.

13. Trigonometry.

14. Hyperbolic functions.

15. Analytic geometry.

16. Vector analysis.

17. Fractals.

18. Matrices and determinants.

19. Embarking on calculus.

20. Introduction to differential calculus.

21. Introduction to integral calculus.

22. Power series.

23. Indeterminate limits.

24. Complex numbers revisited.

25. Extrema and critical points.

26. Arc length.

27. Centroids.

28. Area.

29. Volume.

30. Motion.

31. Harmonic analysis.

32. Methods of approximation.

33. Probability theory.

34. Differential equations.