Worked examples, unfolded
The problem is visible; the solution stays closed until you have tried it. Reading a solution is not the same as solving one.
Mabrok Lab · Qatar University
Interactive university courses in differential equations, linear algebra and calculus. Worked examples you unfold step by step, practice that tells you why an answer is wrong, and a tutor that has read the same pages you have.
Not a PDF with a login. Each topic is written to be worked through, and every method is taught the same way.
Where it comes from, when it applies, and what it looks like when it goes wrong.
The problem is visible; the solution stays closed until you have tried it. Reading a solution is not the same as solving one.
Every question comes back with the reasoning, not just a tick. Answers are checked on the server, so they are not sitting in the page.
It knows which topic you are on and what you have been getting wrong. On a problem that counts it gives the next step, not the answer.
Work on screen with a stylus, zoom in like paper, and hand in a written answer to be read and marked.
What you have mastered, what needs review, and when. Spaced repetition brings back the things you are about to forget.
Slope fields, phase portraits, mass and spring systems, the heat equation. Change a parameter and watch the mathematics move.
Hundreds of problems, every answer re-derived by a computer algebra system before it reaches a student.
Enrolled students sign in and go straight to their course. Ask your instructor for the join code.
Limits and continuity, differentiation and its applications, and indefinite and definite integrals — the first course in the calculus of one variable.
Integration techniques, applications of integrals, sequences, series, and parametric & polar curves.
Core differential equations course with series solutions.
Differential equations with PDEs for engineering students.
Logic, methods of proof, sets, relations, functions and cardinality — the course where mathematics stops being calculation and becomes argument.
Systems of equations, vector spaces, linear transformations, eigenvalues, orthogonality and least squares, and the singular value decomposition.
Differential equations with complex numbers for electrical engineering students.
Students do not disengage because mathematics is hard. They disengage because they get stuck, alone, at eleven at night, and nothing in the course is awake. Everything here is aimed at that hour.
It is built, funded and taught by one person, and used with real classes before any part of it is made general. More about how the teaching works.