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A-Level Maths: Pure (Year 1 / AS) is a course for anyone studying A-Level Maths:
This course covers all the pure content in A-Level AS maths, usually covered in the first year of study (Year 12). The course is suitable for all major exam boards, including Edexcel 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.
A-Level Maths: Pure (Year 1 / AS) is a course for anyone studying A-Level Maths:
This course covers all the pure content in A-Level AS maths, usually covered in the first year of study (Year 12). The course is suitable for all major exam boards, including Edexcel 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.
- Graphs – we will learn how to sketch and work with graphs, including higher order polynomials, 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.
- Polynomial Division – we learn new and powerful algebraic techniques that allow us to divide, factorise and solve higher order polynomials.
- Proof – we learn a range of different techniques for proving mathematical claims.
- Binomial expansion – here we learn a new algebraic technique for expanding brackets raise to large powers.
- 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.
- Vectors – we extend GCSE vector ideas to much more complex problems, including vector proofs.
- 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.
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 30 day money-back guarantee.
· 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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