Overview
This course from Dr D’s Maths World covers methods and applications for the Integration topic in Year 2 A Level Mathematics. The material will also be useful for students of IB Higher Level Mathematics.
Prerequisites for the Course
This is a challenging topic in the A Level Mathematics course, and there are a number of prerequisites – topics that you will need to have studied already, in order to understand the material in this course:
· Trigonometry
· Exponentials and logs
· Partial fractions
· Differentiation (chain, product and quotient rules)
· Year 1 integration, including indefinite and definite integration
The Videos
Nine videos are included in the course, to cover the main topics you need to understand:
Introduction to the course: overview of methods and applications of integration
Method 1: Integration using standard functions
Method 2: Integration using identities
Method 3: Integration by substitution
Method 4: Integration by parts
Choosing the method for integration
Application 1: Area under a curve
Application 2: Differential equations
Application 3: Trapezium rule
The Worksheets
Seven worksheets are included in the course, to provide a summary of what you need to know:
1. Integration using standard functions
2. Integration using identities
3. Integration by substitution
4. Integration by parts
5. Area under a curve
6. Differential equations
7. The trapezium rule
About Dr D’s Maths World
Dr D’s Maths World has a mission to help students to succeed in their studies of mathematics. Your instructor for this course has:
· Taught mathematics in six of the best schools in the UK and overseas
· Has successfully prepared hundreds of students for their A Level Mathematics exams
· Received an award as a shortlisted finalist in the National Teaching Awards
· Hold four degrees including a PhD working in differential equations, one of the topics in this course.
We hope that you enjoy this course and wish you the very best for your studies of mathematics.
