# Calculus

## What is here?

Here are the sub pages for this section. Each of them leads you to slide galleries to offer explanation, teaching activities and practice exercises and exam style questions.

#### SL Scheme - Calculus

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB account and head to this link . It is a new course with a new name and renewed...

#### SL Calculus Concept

This is the first of three sections on differential calculus. This is significant branch of mathematics with lots of applications. It builds very nicely on other concepts in the course and those you are...

#### SL Integration + Trapezium rule

Welcome to integration! A lot of fun is in store! It helps to remember that this topic, along with differentiation, is the best description humans have yet invented for measuring, describing and calculating...

#### SL Optimisation

In this section we look at how calculus is used to find the local maximum and minimum values of functions and, as such, how that is used to optimise. This is done both in the abstract and in context but...

#### SL Tangents & Normals

In this unit we look at find the equations of tangents and normals to curves, increasing and decreasing functions and the second derivative. All this builds on the fundamental notion that calculus tells...

#### HL Euler's Method

There is no "general solution” for all differential equations. As such, they are classified by whether they are “linear” or “non-linear”, the “methods” that can be used to solve them etc....

#### HL Phase Portraits

Phase Portraits - What are they? What's the link to Eigen vectors and values?The concept of Eigen values and vectors grew out of the study, around the 1740s/50s, by the French mathematician, d'Alembert,...

#### HL Slope Fields

Conceptual overview: 'Slope fields' as an introduction to differential equations - what are they?Instead of starting with "data", plotting it, and finding which functions have a similar shape e.g. maximums,...

## Concepts

This is a brief outline of the concepts on which this topic is based

2103PRLN

## Selected Pages

### SL Scheme - Calculus 7 February 2020

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB...

more

### SL Integration + Trapezium rule 17 November 2019

Welcome to integration! A lot of fun is in store! It helps to remember that this topic, along with differentiation, is the...

more

### HL Phase Portraits 28 March 2021

Phase Portraits - What are they? What's the link to Eigen vectors and values?The concept of Eigen values and vectors grew...

more

### HL 5.18 - 2nd order differential equations 18 February 2021

On this page you can find a set of IB style questions for this topic that covers 100 marks over the range of difficulty...

more

### HL 5.11 Definite Integrals 18 February 2021

On this page you can find a set of IB style questions for this topic that covers 100 marks over the range of difficulty...

more

### HL 5.14 Models & Variable Separation 18 February 2021

On this page you can find a set of IB style questions for this topic that covers 100 marks over the range of difficulty...

more