1. Natural numbers and basic operations

2. Rational and irrational numbers

3. Complex numbers

4. Set Theory

5. Functions of the first and second degrees

6. Exponential and logarithmic functions

7. Trigonometry

8. Flat geometry

9. Spatial geometry

10. Analytical geometry

11. Matrices and determinants

12. Linear systems

13. Polynomials

14. Combinatorial analysis

15. Probability

16. Statistics

17. Numerical sequences and series

18. Arithmetic and geometric progressions

19. Newton's binomial

20. Logarithms

21. Limits and derivatives

22. Definite and indefinite integral

23. Prime numbers and the fundamental theorem of arithmetic

24. Solving equations and inequalities

25. Pythagorean Theorem

26. Circles and their properties

27. Areas and volumes of geometric figures

28. Ratios and proportions

29. Rule of three simple and compound

30. Percentage

31. Simple and compound interest

32. Measures of central tendency

33. Dispersion measures

34. Conditional probability

35. Bayes theorem

36. Graphs and tables

37. Trigonometric functions

38. Trigonometric identities

39. Solving triangles

40. Inverse functions

41. Trigonometric equations

42. Sequences and geometric series

43. Financial Mathematics

44. Vectors

45. Geometry of position

46. ​​Conics

47. Geometric transformations

48. Metric relations in the right triangle

49. Metric ratios on the circumference

50. Remainder and factor theorem

51. Thales Theorem

52. Euclid's Theorem

53. Stevin's theorem

54. Operations with radicals

55. Composite functions

56. Injective, surjective and bijective functions

57. Study of the signs of a function

58. Study of the variation of a function

59. Intermediate Value Theorem

60. Extreme Value Theorem

61. Confrontation theorem

62. Rolle's Theorem

63. Lagrange's theorem

64. Cauchy's theorem

65. L'Hopital's Theorem

66. Bolzano's theorem

67. Weierstrass theorem

68. Heine's Theorem

69. D'Alembert's theorem

70. Gauss's theorem