Mathematics: Analysis & ApproachesHL
Maths AA HL: Calculus from First Principles
4.0· 2 reviews
About this course
Differentiation and integration built from limits, not from a formula sheet. If you can already differentiate but cannot say why the chain rule works, this course is aimed at you.
What you'll learn
- Work with limits and continuity rigorously
- Prove the standard derivatives from first principles
- Choose an integration technique instead of guessing one
- Set up and solve differential equations in context
Curriculum
Getting started
3 lessons28m
- Locked. Course orientation7:00
- Locked. How to use these lessons9:17
- Locked. Diagnostic: where are you now?11:34
Core theory
3 lessons48m
- Locked. The idea, built up slowly13:51
- Locked. Worked examples, start to finish16:08
- Locked. Common mistakes and why they happen18:25
Exam technique
3 lessons1h 9m
- Locked. Reading the command terms20:42
- Locked. A full past-paper walkthrough22:59
- Locked. Timing under pressure25:16
Notes
Downloads
- Formula sheet and quick reference4 pagesFree sample
- Locked. Full topic summary12 pages
- Locked. Past-paper question bank24 pages
Reviews ★ 4.0 · 2 reviews
- 4 out of 5.sara_masri
Proofs from limits, not from a formula sheet — finally someone explains WHY the chain rule works.
- 4 out of 5.Anonymous student
Genuinely rigorous, which is what I wanted, but the first two lessons move fast. Rewatch them.