Introduction

A Level Math includes Algebra, Geometry, Trigonometry and Calculus that form the fundamental building blocks of the subject. Students can also learn mathematical applications fall into three strands: decision – networks, algorithms, sorting, mechanics – forces, energy, motion, statistics – probability, data handling, testing hypotheses.

Objectives
Systematize the core knowledge of the subject
Become familiar with most
A Level exam formats
Reduce pressure and study time
Improve scores effectively
Enhance independant thinking
Create a solid foundation for higher education
Characteristics
Quality teachers with extensive knowledge about students psychology
Teaching programs are based on international standards
Exclusive materials that closely follow the A Level formats
Personalized teaching method according to student progress
Commitment on A Level pass grade
Coursework completion support
Course content
Topic 1: Roots of polynomial equations
1.1 Quadratics
1.2 Cubics
1.3 ..................................
Topic 2: Rational functions
2.1 Vertical asymptotes
2.2 Oblique asymptotes
2.3 ..................................
Topic 3: Summation of series
3.1 The summation formulae Er, Era, Er3
3.2 Converging series
Topic 4: Matrices 1
4.1 Matrix operations
4.2 The inverse matrix
4.3 ..................................
Topic 5: Polar coordinates
5.1 The polar system
5.2 Applications of polar coordinates
Topic 6: Vectors
6.1 The vector product rule
6.2 Vector equation of a line
6.3 Planes
Topic 7: Proof by induction
7.1 The inductive process
7.2 Proof by induction for divisibility
Topic 8: Continuous random variables
8.1 The probability density function
8.2 The cumulative distribution function
8.3 ..................................
Topic 9: Inferential statistics
9.1 t-distribution
9.2 Hypothesis tests concerning the difference in means
9.3 ..................................
Topic 10: Chi-squared tests
10.1 Forming hypotheses
10.2 Goodness of fit for discrete distributions
10.3 ..................................
Topic 11: Non-parametric tests
11.1 Non-parametric tests
11.2 Single-sample sign test
11.3 ..................................
Topic 12: Probability generating functions
12.1 The probability generating function
12.2 Mean (E(X)) and variance (Var(X)) using the probability generating function
12.3 ..................................
Topic 13: Projectiles
13.1 Motion in the vertical plane
13.2 The Cartesian equation of the trajectory
Topic 14: Equilibrium of a rigid body
14.1 The moment of a force
14.2 Centres of mass of rods and laminas
14.3 ..................................
Topic 15: Circular motion
15.1 Horizontal circles
15.2 The 3-dimensional case
15.3 Vertical circles
Topic 16: Hooke's law
16.1 Hooke's law
16.2 Elastic potential energy
16.3 The work-energy principle
Topic 17: Linear motion under a variable force
17.1 Acceleration with respect to time
17.2 Acceleration with respect to displacement
Topic 18: Momentum
18.1 Impulse and the conservation of momentum
18.2 Oblique collisions and other examples
Topic 19: Hyperbolic functions
19.1 Exponential forms of hyperbolic functions
19.2 Hyperbolic identities
19.3 ..................................
Topic 20: Matrices 2
20.1 Eigenvalues and eigenvectors
20.2 Matrix algebra
20.3 ..................................
Topic 21: Differentiation
21.1 Implicit functions
21.2 Parametric equations
21.3 ..................................
Topic 22: Integration
22.1 Integration techniques
22.2 Reduction formulae
22.3 ..................................
Topic 23: Complex numbers
23.1 de Moivre's theorem
23.2 Powers of sine and cosine
23.3 ..................................
Topic 24: Differential equations
24.1 First order differential equations
24.2 Second order differential equations: The homogeneous case
24.3 ..................................

Student achievement

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