A Level Further Mathematics

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 ..................................

Choose a form of study

Small class

Private tutoring group

1 plus 1

Related Courses

Student achievement

Student's name

Lam Ngoc Thao Lam

Subject

Score:

IB Math AA HL

7/7

IB Physics HL

7/7

IB Chemistry HL

7/7

IB Economics

6/7

Student's name

Vo Le Minh Son

Subject

Score:

IB Math AI HL

6/7

IB Economics HL

6/7

Student's name

Huynh Thien Thanh

Subject

Score:

IB Math AA SL

6/7

IB Chemistry SL

6/7

Student's name

Nguyen Ha Dieu Anh

Subject

Score:

A Level Physics

A level Economics

Student's name

Luu Anh Vu

Subject

Score:

A Level Math