This course will equip you with the knowledge and confidence to crack the complexity of CAIE A-Level Pure Mathematics 1 (9709), ensuring you are thoroughly prepared to tackle challenging mathematical concepts.
Solving quadratic equations by factorisation
Completing the square
The quadratic formula
Solving simultaneous equations (one linear and one quadratic)
Solving more complex quadratic equations
Maximum and minimum values of a quadratic function
Solving quadratic inequalities
The number of roots of a quadratic equation
Intersection of a line and a quadratic curve
Derivatives and gradient functions
The chain rule
Tangents and normals
Second derivatives
Increasing and decreasing functions
Stationary points
Practical maximum and minimum problems
Rates of change
Practical applications of connected rates of change
Integration as the reverse of differentiation
Finding the constant of integration
Integration of expressions of the form (ax+b)^n
Further indefinite integration
Definite integration
Area under a curve
Area bounded by a curve and a line or by two curves
Improper integrals
Volumes of revolution
Composite & inverse functions
The graph of a function and its inverse
Transformations of functions
Translations, reflections & stretches
Combined transformations
Length of a line segment and midpoint
Parallel and perpendicular lines
Equations of straight lines
The equation of a circle
Problems involving intersections of lines and circles
Lectures: 9 Topics , 51 Sub Topics
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Language: English
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