# A level mathematics c1 revision notes

#### Algebra and Functions

• Indices and Surds
• Quadratic functions, completing the Square, the discriminant and their graphs
• Simultaneous Equations
• Solving linear and quadratic inequalities
• Simple Graphing
• Simple Transformations of f(x)

#### Integration

• indices
• surds
• function notation
• polynomials
• general equation
• algebraic division
• the remainder theorem
• the factor theorem
• general equation
• factorising
• completing the square
• the discriminate
• graphs
• cubic graphs
• higher power polynomials
• reciprocal graphs
• transforming graphs
• y = f(x) + a
• y = f(x – a)
• y = af(x)
• y = f(ax)
• simultaneous equations
• algebraic solutions
• graphical solutions
• inequalities

#### Coordinate Geometry

• the gradient of a line
• straight lines
• general equation
• perpendicular lines
• parallel lines
• midpoints of straight lines
• find the equation of any straight line
• the distance between two points
• the equation of a circle
• circle theorems
• angles in semi-circles
• bisecting a chord
• angle between the tangent and radius