CIE International A-Level Maths: Pure Mathematics 1

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 Paper 1 (Pure Mathematics 1) of the Cambridge International A-Level Maths Course, covered in the first year of study. It is also a great introduction to pure maths for anyone interested in getting started.

The main sections of the course are:

- Equations and Inequalities – we will look at a wide range of different functions, including quadratic, linear and cubic functions.

- Quadratics - we look at quadratic functions, how to sketch and work with them, solve equations and inequalities and work with the discriminant.

- Functions - we learn about domain, range, inverse and composite functions, as well as graph transformations.

- Straight Line Graphs – we take this topic, familiar from GCSE, and push it to the next level, introducing new ways of using straight line graphs.

- Circles – we learn how to represent circles in the coordinate plane, find tangents to circles and solve intersections with lines.

- Trigonometry – in the two trigonometry chapters we look at how to use trigonometry to solve triangle problems, but also solve trigonometric equations, sketch tri graphs, and prove trigonometric identities.

- Circular Measure - we learn how to work with radians to calculate sector areas, arc lengths and solve trigonometric equations.

- Graphs – we will learn how to sketch and work with graphs, including higher order polynomials, as well as graph transformations.

- Series - we learn about binomial expansion and the choose function, as well as how to work with arithmetic and geometric series.

- Differentiation – in this huge chapter we introduce one of the most powerful and exciting ideas in mathematics. We look at gradients of curves, tangents, stationary points and optimisation problems.

- Integration – here we look at the other side of calculus, and learn how to use integration to find areas under curves.

- Exponentials and Logarithms – we learn about the exponential function, logarithms, the natural log, as well as how to use these ideas to model a range of real-world scenarios.

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

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