OCR C1  Core Mathematics 1 (4721)
Author and programmer: Ron Barrow
TweetGeneral Resources
The OCR Website's A Level Mathematics Pages
OCR Booklet of Formulae and Tables
OCR C1 Syllabus Specification (2005) (© OCR)
Surds and indices
Properties and simplification of surds 
Surds 1  What are surds?

Rationalising denominators 
Surds 4  Rationalising 1

Properties and simplification of indices 
Indices 1  Multiplying

Algebraic expressions
Algebraic expressions, function notation and polynomials 

Factorising and cancelling  
Fractions 
Equations and quadratic functions
Relationships and linear equations 

Solving quadratic equations by completing the square and by using the quadratic formula 
Quadratics  completing the square

Sketching and the discriminant 
Inequalities
Linear inequalities in one unknown  
Quadratic inequalities in one unknown 
Simultaneous equations
Linear simultaneous equations  
Simultaneous equations with quadratic and other terms 
Equations solved graphically

Three cases of the discriminant 
Coordinate geometry and the straight line
Lengths and midpoints of line segments  
Gradients, parallel and perpendicular lines 

Equations of curves and straight lines 

Applications 

Differentiation
Rates of change, tangents and gradients 

Notation and vocabulary 

Differentiation from first principles  
Differentiation of polynomials  
Tangents and normals 
Applications of differentiation
Increasing and decreasing functions  
Stationary points 

Maximum and minimum problems  
Sketching curves 1 

Transforming graphs
Graphs of standard functions  
Transformations of graphs  
Geometrical interpretation of solutions of equations 

Coordinate geometry of the circle
Properties of the circle 

Equation of a circle in terms of the radius and centre  
Tangents to a circle 
