OCR 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 OCR and other exam boards past papers for you to try, essential to improving your grade.

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Module Content
- Algebra and Functions
- Algebraic long division
- missing terms
- Factor theorem
- what is it?
- 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
- What is it?
- 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
- Exponential functions - What they are and their graphs
- Logarithms
- What do we mean by a log?
- Rules of logs
- Simplifying
- Equations
- Finding an index type
- Equations with log terms
- Change of base type
- Quadratic type
- Inequalities
- Solving inequalities

- Sequences and series
- Recurrence relationships
- What are they?
- Sigma notation
- Introduction
- Arithmetic sequences and series
- Sum of the first n terms
- Geometric series
- consecutive terms
- investment example
- Proof of the sum of the first n terms Sn
- Sum to infinity
- Binomial expansion
- Binomial expansion nCr method
- finding particular terms
- Pascals triangle method
- Binomial formula method

- Trigonometry
- Trigonometric Ratios
- Trig. ratios for 30, 60 and 90 degrees
- Trig. ratios for 45, 45 and 90 degrees
- Trig. ratios for positive multiples of 30, 45 and 60 degrees
- Trig. ratios for negative multiples of 30, 45 and 60 degrees
- Trigonometric Graphs
- sin(θ), cos(θ) and tan(θ) graphs
- Transformations
- Translations parallel to y-axis
- Translations parallel to x-axis
- Reflections in the x-axis
- Reflections in the y-axis
- Stretches parallel to the y-axis
- Stretches parallel to the x-axis
- Combining transformations
- Applications
- Area of a triangle
- Given two sides and an included angle
- Sine Rule
- Cosine Rule
- Arcs, Sectors and Segments
- Radians
- Arc length and sector area
- Area of a segment
- Trig. Equations
- The quadrant rule
- Trig. equations that factorise
- Identities
- Trig. identities
- Solving equations using identities

- Integration
- terms of the form ax^n
- fractional and root type terms
- Equations of curves
- Finding the equation of a curve given dy/dx
- Using f'(x) notation