Cambridge AS Level (9709) Pure Mathematics 3
Instructor
Admin
- Description
- Curriculum
Our Approach to Teaching and Learning:
We follow the 5 step process depicted in the picture below.
Assessment structure:
AS Level Pure Mathematics Paper 3 content is covered under nine topics
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1
Algebra- The modulus function
- Sketching ralphs of modulus function
- Operations with polynomials
- Solving polynomial using factor and remainder theorem
- Partial fractions
- Using partial fractions with the binomial expansion
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2
Logarithmic and exponential functions
- Relationship between logarithms and indices
- Exponential functions
- Solving equations and inequalities for unknown indices
- Transforming into linear form using logarithms
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3
Trigonometry
- Reciprocal trigonometric functions
- Uses of compound angles
- Double angles formulae
- The form R sin(θ ± 𝛼) and R cos(θ ± 𝛼)
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4
Differentiation
- Differentiating logarithms and exponentials
- Differentiating trigonometric function
- The product rule and quotient rule
- Differentiating functions defined implicitly/parametrically
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5
Integration
- Integration involving exponential functions
- Integration involving trigonometric functions
- Using partial fractions in integration
- Integration by parts
- Integration by substitution
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6
Numerical solution of equation
- Interval estimation
- Fixed point iteration
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7
Vectors
- The vector equation of a line
- Direction of the line and location of the point
- Determining if the two lines are parallel or intersecting or skew line
- The angle between the two lines
- The perpendicular distance between the point to a line
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8
Differential equation
- Rate of change as differential equation
- Solving differential equations by variable separation
- Finding particular solution for differential equation
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9
Complex numbers
- Working with complex numbers
- Complex conjugates
- carrying out all four operations between two complex numbers
- Representing complex numbers geometrically
- Set of points in an Argant diagram
- The Modulus- argument form of complex numbers
- Square root of complex numbers
- Complex numbers in polar form
