Let us start with some basic concepts of mathematics and then we will gradually move further.
Our path will be like:
1. The formal rules of algebra
2. Rational and irrational numbers
3. Functions
4. Introduction to graphs
5. Basic graphs
6. The vocabulary of polynomial functions
7. The roots, or zeros, of a polynomial
8. The slope of a straight line
9. Linear functions: The equation of a straight line
10. Quadratics: Polynomials of the second degree
11. Completing the square
12. Synthetic division by x − a
13. Roots of polynomials of degree greater than 2
14. Multiple roots. Point of inflection.
15. Reflections of a graph
16. Symmetry of a graph
17. Translations of a graph
18. Rational functions
19. Inverse functions
20. Logarithms
21. Logarithmic and exponential functions
22. Factorials
23. Permutations and Combinations
24. The binomial theorem
25. Multiplication of sums
26. Mathematical induction