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Review of set notation
Properties of Surds
Multiplication and division of complex
numbers Factorising quadratic expressions and
solving quadratic equations over the complex number field |
Subsets of the set of real numbers
The set of complex numbers
Representing complex numbers on an
Argand diagram |
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Describing Sequences
Arithmetic Series
Geometric Series
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Arithmetic Sequences
Geometric Sequence
Applications of Sequence and Series
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Direct Variation
Inverse Variation
Joint Variation
Transformation of Data
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More Direct Variation
More Inverse Variation
Part Variation
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Index Laws
Solving linear equations and simultaneous
linear equations Algebraic Fractions
Polynomial Identities
Simultaneous Equations
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Transposition
Applications
Linear Literal Equations
Partial Fractions
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The Circle
The Parabola
Polar Co-ordinates
Polar Graphs
Addition of ordinates, reciprocals and
squares of graphs |
The Ellipse
The Hyperbola
Polar Equations
Complex numbers and polar form
of complex numbers |
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Graphs of linear Inequations
Graphs of systems of linear inequations
Solving linear programming problems
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Graphs of simultaneous linear inequations
Maximising and minimising linear functions
Further applications of linear programming
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The Sine Rule
Trigonometric Identities
Proving Trigonometric Identities
Double Angle Formulae
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The Cosine Rule
Simplifying Trigonometric Expressions
Sum & Difference Formulae
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Introduction to Vectors
Magnitude, direction and components of vectors
Applications of Vectors
Newton’s first law of motion
Connected bodies in equilibrium
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Vector Operations
i, j notation
Force and tension
Equilibrium — forces at an angle
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Introduction to kinematics
Constant acceleration formulas
Dynamics: forces and acceleration
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Velocity–time graphs and acceleration–time
graphs Instantaneous rates of change
Resolving forces and describing
motion |