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Do you want to gain confidence and fluency in maths, to the equivalent of ASlevel in the UK? It is also appropriate for anyone making the transition to more comlicated maths. Through this course of videos, I will illuminate various topics in core mathematics.
Learn, Reinforce and Master Advanced Maths Techniques with Theo
What really makes this course different is that you can see me the entire time.
Too many maths course have zero human interaction, they simply display a blank screen on which the instructor writes. Not so here. I will interact with you by looking directly into the camera, as you would expect from a private tutor in a classroom setting.
I base my lessons on the OCR MEI exam topics, which in turn are covered in all the other exam boards. So you can be sure that what you will learn here, you can apply on exam day. Let me help you become a real success at maths, and open doors for yourself in terms of exam grades and getting a really good career in the years to come.
A complete summary of the skills and techniques needed to ace the C1  Introduction to Advanced Mathematics module at Alevel, for the guidanceseeking student to the adult brushing up on onceknown skills. The course will take to complete from 2 to 4 hours. The course is structured very conveniently to ensure smooth transition from one topic to another.
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Section 1: Recap essential algebra  

Lecture 1  01:23  
Theo McCausland of Carfax Education Baku hosts this series of introductory videos into Alevel Mathematics. 

Lecture 2  01:23  
Brush up on essential algebra. 

Lecture 3  01:21  
Get all of your a's with the rest of your a's, rinse and repeat! 

Lecture 4  01:36  
You will find that this is a necessary step in many advanced calculations. 

Lecture 5  02:20  
Sometimes we need to do the reverse of what's in lecture 4. 

Lecture 6  02:58  
How do algebraic terms behave when we multiply them or divide them by one another? 

Lecture 7 
Dealing with algebraic fractions, which follow the same rules as in arithmetics

02:29  
Lecture 8  02:23  
You should be familiar with how to deal with fractions, another essential in advanced maths. 

Lecture 9  03:40  
The easiest type of quadratic factorisation. This requires practice and some intuition to get right every time. 

Lecture 10  02:40  
Such equations can be approached with a graphical method to find approximate roots.  
Lecture 11  04:52  
Using the completing the square method to derive the Quadratic Formula, which is an immensely useful formula that allows the factorisation of any quadratic equation. 

Lecture 12  03:40  
The quadratic formula tells us much more than you may think! 

Lecture 13  02:42  
In terms of being able to sketch a quadratic function, nothing saves you time like knowing how to complete the square. 

Lecture 14  04:18  
More practice  this will save you so much time in sketching accurate curves. 

Section 2: Coordinate geometry  
Lecture 15  01:32  
You are probably familiar with (x, y) coordinates, and soon you will also be with (x, y, z). 

Lecture 16  02:05  
Knowing the difference lets you understand how much detail you need to include in the exam. 

Lecture 17  04:21  
The gradient of a line is one of its most important quantities. 

Lecture 18  01:16  
We can say that m=0. 

Lecture 19  00:49  
First m = second m 

Lecture 20  01:27  
First m x second m = 1 

Lecture 21  03:03  
Remember Pythagoras'? 

Lecture 22  01:38  
Using the arithmetic mean of the coordinates of the two points which the midpoint lies between 

Lecture 23  03:16  
Starting with lines parallel to the xaxis or the yaxis. 

Lecture 24  01:49  
These lines always go through the origin O(0,0). So the only other key is to know the gradient. 

Lecture 25  02:41  
These go through a yintercept, where y=c. The gradient is still m. 

Lecture 26  01:11  
As you might guess, the yintercept is where x=0; the xintercept where y=0. 

Lecture 27  01:04  
We aren't limited to good old y = mx + c! 

Lecture 28  02:24  
But how do we find the equation if we don't know it already? How do we know if a point lies on the line? 

Lecture 29  02:06  
We can find the equation of any line that satisfies two points. The line cuts both those points and goes on for infinity past them in either direction. 

Lecture 30  03:11  
This lecture illustrates what many general curves of x in increasing powers look like. 

Lecture 31  03:09  
Reciprocal curves look a bit different. They are quite pleasing to the eye (even with my horrible drawing). 

Lecture 32  01:58  
Circular functions, in coordinates? You bet. 

Lecture 33  01:30  
Circles needn't be centred on the origin. 

Lecture 34  01:23  
You might have encountered all of these theorems in higher level GCSE maths. They are a bunch of facts to remember, so don't skip this one. Time to review. 

Lecture 35  01:34  
Interesting points often occur when curves and lines meet each other. This could represent the solution to a realworld problem. 

Lecture 36  01:50  
This time by proving that a line is the tangent to a curve. This method gave us a repeated solution, so the line touches the curve at only one point. This implies that the line is a tangent. 

Lecture 37  02:40  
We wrap up this section by taking a look at the intersection of a quadratic curve and a circular function. 
Carfax Education, an international group, originating from Oxford and headquartered in London, specializes in providing guidance and support to individuals and institutions who seek to access the best educational opportunities available in Britain, Switzerland, the USA, the UAE, and Azerbaijan. Carfax opened its first office in Azerbaijan in 2012 and plans to expand to other countries throughout the Caspian Sea region.