CIE International A-Level Maths: Pure Mathematics 2/3

Description

CIE International A-Level Maths is a course for anyone studying the Cambridge International A-Level Maths:

This course covers all the pure content in Papers 2 and 3 (Pure Mathematics 2 and 3) of the Cambridge International A-Level Maths Course. It is also a great course for anyone interested in learning some more advanced pure maths.

The main sections of the course are:

- Algebra - we'll learn about the modulus function and how to solve equations and inequalities using it, as well as polynomial division, remainders and the factor theorem.

- Logarithms and Exponentials Functions - we'll learn what these are, and how to use them to solve many different styles of problems. We'll also learn about e^x and the natural logarithm.

- Trigonometry - we'll learn three new trig functions (sec, cosec and cot) as well as explore many new trigonometric identities, including double angles.

- Differentiation - we'll learn how to different almost any function you can think of! We'll use the chain, product and quotient rules and also look at implicit and parametric differentiation.

- Integration - we'll learn a range of techniques to integrate most functions we've seen so far.

- Numerical Solutions to Equations - We'll explore ways of finding approximate solutions to equations with no analytical solutions, including iteration.

- Further Algebra - we'll learn how to split algebraic fractions into partial fractions, and how to extend binomial expansion to include negative and fractional powers.

- Further Integration - We'll extend what we've already covered, and look at reverse chain rule, substitution and integration by parts.

- Vectors - we'll learn how to work with vectors in 3d and how to use the vector equation of straight lines and the scalar (dot) product.

- Differential Equations - we'll explore how to set up and solve differential equations, and how to apply these in real world contexts.

- Complex Numbers - we'll explore the fascinating world of complex numbers, including the argand diagram, polar and exponential forms, and complex loci.

Those of you studying for Paper 3 will cover all of these section. If you're studying for Paper 2, you will study up to Numerical Solutions to Equations.

Please note: This course is intended for people studying the Cambridge International A-Level Maths Syllabus, and not the UK syllabus (covered by Edexcel, OCR, AQA and MEI exam boards). If you are looking for these, check out my other courses on these!

What you get in this course:

Videos: Watch as I explain each topic, introducing all the key ideas, and then go through a range of different examples, covering all the important ideas in each. In these videos I also point out the most common misconceptions and errors so that you can avoid them.

Quizzes: Each sub-section is followed by a short quiz for you to test your understanding of the content just covered. Most of the questions in the quizzes are taken from real A-Level past papers. Feel free to ask for help if you get stuck on these!

Worksheets: At the end of each chapter I have made a collection of different questions taken from real A-Level past papers for you to put it all together and try for yourself. At the bottom of each worksheet is a full mark-scheme so you can see how you have done.

This course comes with:

· A printable Udemy certificate of completion.

· Support in the Q&A section - ask me if you get stuck!

I really hope you enjoy this course!

Woody

What You Will Learn!

• Calculus
• Trigonometry
• Differential Equations
• Complex Numbers
• Vectors
• Algebra

Who Should Attend!

• People studying the Cambridge International A-Level Mathematics AS or A-Level
• People who want to study an intermediate-advanced course in pure mathematics

TAKE THIS COURSE