By the end
What you'll build
- Evaluate hard limits using standard forms, conjugates, series thinking and the squeeze theorem — and know when L'Hôpital fails
- Crack definite integrals with symmetry, the King's property and Leibniz differentiation, often without finding an antiderivative
- Apply AM–GM and Cauchy–Schwarz with correct equality cases, and treat complex numbers as rotate-and-scale geometry
- Dissect multi-concept problems with the translate–connect–estimate–verify clinic method under timed, negative-marking conditions
- Write structured proof sketches by direct argument, contradiction and induction that survive a hostile reader
The shape of it
How this course works
Short lessons
25 lessons across 5 modules, each small enough to finish in one sitting.
Practice as you go
Every lesson ends with a small space for what you noticed — the doing is the learning.
A certificate at the end
Finish the course and earn a certificate anyone can verify with a link.
Ready when you are.
Make an account and this course opens up — your progress is saved from the very first lesson.