IB Math AA SL · Unit 5 of 6

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.

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