IB Math AA · Unit 5 of 6

IB Math AA Unit 5: Calculus

Unit 5 of IB Mathematics: Analysis and Approaches covers Calculus. This unit contains 11 topics and 20 sub-topics. Below you'll find free study notes, flashcards, and exam preparation resources for every topic in this unit.

11 topics20 sub-topics

Exam technique guide

What Unit 5 covers

Differentiation and integration: tangents, optimisation, kinematics and areas.

Topics in Unit 5

5.1

Introduction to derivatives

1 sub-topics

5.2

Increasing & decreasing

1 sub-topics

5.3

Differentiating polynomials

2 sub-topics

5.4

Tangents & normals

2 sub-topics

5.5

Introduction to integration

2 sub-topics

5.6

Chain, product & quotient

3 sub-topics

5.7

Second derivative

1 sub-topics

5.8

Optimisation & inflexion

3 sub-topics

5.9

Kinematics

1 sub-topics

5.10

Integration by substitution

2 sub-topics

5.11

Definite integrals & areas

2 sub-topics

Study tip: Work through the topics in order — each builds on concepts from the one before. Start with notes, then reinforce with flashcards and practice questions.

Ready to study Calculus?

Get expert practice questions with instant AI feedback, and a study planner tailored to your IB Math AA exam date.

Start studying free

Unit 4 All Math AA units