These are problems I met while I was in college - the ones that actually showed up on homework, in lectures, and on exams. Not extras from a textbook. The ones that landed on a weekly set, in a lecture example, or on the exam when the clock was running.
I kept them because they were the problems that actually counted. If you are studying the same courses, this is the work I had to do - opened so you can practice it too.
When I was a student, I kept running into the same kind of problem: it looked familiar until I sat down with a blank page. A limit that needed a small trick. An integral that only made sense on the third try. A geometry argument I wished I had written down more carefully.
I saved those problems and worked them out step by step. MathLopedia is that notebook, cleaned up so another student can use it.
This is not a textbook rewrite, and it is not a list of formulas. It is the work I had to do in college - calculus, integrals, differential equations, complex numbers, geometry - written the way I wish I could have opened someone else’s notes the night before an exam.
Each page has a statement and a full solution. Read the problem first. Try it yourself. Then open the steps and see how the argument is built.
I hope this feels like sitting next to someone who already took the class and left the notes open for you. Use it to practice, to check your work, or to make a practice test when you want exam conditions.
Good luck with your courses. Keep going.
These solutions were written by a student, not a textbook editor. I have checked them carefully, but some mistakes may still be there - a sign error, a missed case, or a number that did not get corrected.
If a step looks wrong, trust your own work and the methods from your course. Use this site to practice, not as the final authority.