A-Level Further Maths: Core Pure 2
 

Master the Core Pure 2 content from A-level Further Maths, and practice on real past paper exam questions.
What you'll learn
Complex Numbers: De Moivre's Theorem, Complex Series
Series: Method of Differences, Maclaurin Series
Methods in Calculus: Improper Integrals, Mean Value of a Function, Inverse Trig Integration
Volumes of Revolution
Polar Coordinates
Hyperbolic Functions
Differential Equations: 1st Order, 2nd Order, Coupled and Modelling
Requirements
A good understanding of A-Level Maths and AS Level Further Maths (or equivalent)
Key prior knowledge: calculus (with polynomials, exponentials, logs and trig), basic knowledge of complex numbers.
Description
A-Level Further Maths: Core Pure 2 is a course for anyone studying A-Level Further Maths.This course covers all the content in the second Core Pure paper. The course has been modelled around the Edexcel exam board, but it matches all the content in OCR as well. It's also a great option for anyone looking to learn more advanced pure mathematics.The main sections of the course are:- Complex Numbers - we expand what we know about complex numbers, looking at exponential form, De Moivre's Theorem, and how to use complex numbers to evaluate trigonometric series.- Series - we will learn how to use the method of differences, as well as how to find the Maclaurin Series of a function.- Methods in Calculus - we look at a range of new methods, such as evaluating improper integrals, finding the mean value of a function, as well as using inverse trig functions in calculus.- Volumes of revolution - we apply the technique learned in Core Pure 1 to much more advanced functions.- Polar Coordaintes - we'll learn how to represent beautiful curves using polar coordinates, and how to differentiate and integrate polar curves.- Hyperbolic Functions- we'll explore the fascinating world of hyperbolic functions, learn the similarities and differences between hyperbolic functions and trig functions, and learn how to differentiate and integrate them.- Differential Equations - we'll learn how to solve 1st and 2nd order differential equations, and and see how to use these to model a range of real world problems.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
People studying A-Level Further Maths,People who want to learn some more advanced pure mathematics