Calculus

6 нэгжээс 6 нь бэлэн — хичээл, дадлага, өөрийгөө шалгах тесттэй. Хичээлүүд одоогоор англи хэлээр; монгол орчуулга дараа нэмэгдэнэ.

1. 01Limits & ContinuityThe idea the whole subject stands on: what a function is HEADING TOWARD, computed exactly — limits by substitution, by factoring, at infinity, and the definition of an unbroken graph.Start
2. Premium02The DerivativeSlope, upgraded to curves: the difference quotient, the limit that turns secants into tangents, the derivative as a function of its own — and the rules that make it fast.Start
3. Premium03Differentiation TechniquesThe three rules that unlock every function you can write: product, quotient, and — the big one — the chain rule, plus second derivatives and how to stack the rules without dropping anything.Start
4. Premium04Applications of DerivativesThe payoff: tangent and normal lines on demand, where functions rise and fall, peaks and valleys certified by two different tests, and optimization — the art of finding the best.Start
5. Premium05IntegralsDifferentiation run in reverse, the area problem solved by slicing, and the Fundamental Theorem — the bridge that makes exact areas a two-step calculation.Start
6. Premium06Applications of IntegralsIntegration earning its keep: exact areas between curves, motion recovered from velocity, average values of things that never stop changing — and a capstone that runs the whole course in one arc.Start