University Mathematics — Year 1

Bachelor Year 1 (Age 18–19)

1. 1 Logic, Sets and Maps 12 solved exercises
2. 2 Counting 12 solved exercises
3. 3 Complex Numbers 12 solved exercises
4. 4 Standard Functions 12 solved exercises
5. 5 Linear Differential Equations 12 solved exercises
6. 6 Integer Arithmetic 12 solved exercises
7. 7 Algebraic Structures 12 solved exercises
8. 8 Polynomials 12 solved exercises
9. 9 Rational Fractions 12 solved exercises
10. 10 Real Numbers 12 solved exercises
11. 11 Sequences 12 solved exercises
12. 12 Topology of the Real Line 12 solved exercises
13. 13 Limits and Continuity 12 solved exercises
14. 14 Differentiation 12 solved exercises
15. 15 Integration on a Segment 12 solved exercises
16. 16 Taylor Formulas and Asymptotic Expansions 12 solved exercises
17. 17 Numerical Series 12 solved exercises
18. 18 Vector Spaces 12 solved exercises
19. 19 Finite Dimension 12 solved exercises
20. 20 Linear Maps 12 solved exercises
21. 21 Matrices 12 solved exercises
22. 22 Determinants and Linear Systems 12 solved exercises
23. 23 Euclidean Spaces 12 solved exercises
24. 24 Plane Curves 12 solved exercises
25. 25 Functions of Two Variables 12 solved exercises

25 chapters — 25 online so far, and more publishing regularly. The complete book is already available as a free PDF you can read online.