Edexcel C2

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Each app in this series covers the essential topics for the module, presenting them in short video tutorials and explained in a clear mathematical style so as you can progress quickly and smoothly through the topics. There are further supplementary exercises and worked solutions from past papers for you to try, essential to improving your grade.

It is like having your own personal tutor but at a fraction of the cost. You can pause, rewind, play again and again and learn at your own pace. Learn on the go or place a video in your favourites to view later.

This is a valuable resource that will work side by side with a textbook and should help you to get the grade you want, whether you are at school, college or just studying on your own.
Module Content

* PLEASE NOTE THAT THIS APP REQUIRES INTERNET CONNECTION TO PLAY VIDEOS.

Algebra and Functions:
- Algebraic long division
- missing terms
- finding the remainder

- Factor theorem
- showing that x-1 is a factor of a cubic polynomial
- factorising a cubic polynomial
- solving a cubic equation
- finding constants in a polynomial given the factors

- Remainder theorem
- finding the remainder when a cubic polynomial is divided by x+1
- finding the remainder when a quartic polynomial is divided by 2x-1
- finding constants in a polynomial given the remainders

- Exponential functions

- Logarithms
- Rules of logs
- Simplifying
- Equations
- Equations with log terms
- Change of base type
- Quadratic type
- Inequalities
- Solving inequalities

Coordinate geometry:
- Circles
- Equation
- Finding the centre and radius
- Equation of a tangent
- Equation of a circle through 3 points
- Circle properties

Sequences and series:
- Geometric series
- consecutive terms
- investment example
- Proof of sum of first n terms Sn
- Sum to infinity

- Binomial expansion
- nCr method
- method of expanding
- finding particular terms
- Pascals triangle method
- Binomial formula

Trigonometry:
- Trigonometric Ratios
- Trig. ratios for 30, 45, 60 and 90 degrees
- Trig. ratios for multiples of 30, 45 and 60 degrees

- Graphs
- Trigonometric graphs
- Transformations
- Translations
- Reflections
- Stretches
- Combining transformations

- Applications
- Area of a triangle
- Sine Rule
- Cosine Rule
- Arcs, Sectors and Segments
- Radians
- Arc length and sector area
- Arc length and sector area
- Area of a segment

- Equations
- The quadrant rule
- How to solve sinθ, cosθ, tanθ = a positive or negative value in a given range
- How to solve multiple angles, example sin2x = a positive value
- Equations that factorise

- Identities
- Two basic trigonometric identities, tanθ ≡ sinθ/cosθ and sin²θ+cos²θ ≡ 1
- Proving trignometric identities
- The identities, cos(θ) ≡ cos(-θ), sin(θ) ≡ -sin(-θ)
- Solving equations using identities

Differentiation:
- Stationary points
- Finding stationary points (example)
- Nature of a stationary point using the first differential
- Nature of a stationary point using the second differential
- Finding stationary points and their nature example
on graphs
- Applications
on practical applications
- Increasing and Decreasing functions

Integration:
- Definite Integration
- Infinite integrals
- Application - Area
- Area under a curve
- Finding the area below the x-axis
- Finding the area above and below the x-axis
- Finding the area bounded by two curves

- Numerical Integration
- Trapezium rule
- Type of estimate