- Phone: 0556312351
- Location: Abu Dhabi
- City: Abu Dhabi
- Country: United Arab Emirates
- Listed: November 23, 2020 10:27 am

## Description

Professional Mathematics teacher for all grades / levels , IGCSE and IB. A-level and AP. Excellent exam preparations, mock exams and past papers practice. Experience in teaching the following:

British Curriculum (Edexcel, Cambridge and AQA):

– IGCSE

– AS & A-level:

C1, C2, C3, C4, M1 & M2, S1 & S2

IB:

– Standard level

– Advanced level

American curriculum:

– Middle Years Program (MYP) year 6-10

– Diploma Program (DP) year 11-12

– Advanced Placement (AP)

My teaching experience include, but not limited to, the following topics:

1. FUNCTIONS

1.1 The domain and range of a relation on a Cartesian plane

1.2 Function notation

1.3 Composite functions

1.4 Inverse functions

1.5 Inverse trig functions

1.6 Transforming functions

1.7 Periodic functions

1.7 Modulus function

2. LINEAR ALGEBRA

2.1 Simultaneous equations

2.2 Solving quadratics and completing the squares

2.3 Surds / Indices

2.4 Inequalities

2.5 Polynomials (factor / remainder theorems)

2.6 Binomial expansion

2.7 Partial fractions

2.8 Solving linear systems using Gaussian elimination

2.9 Gauss-Jordan row reduction and reduced row echelon form

2.10 Equivalent systems, rank, and row space

2.11 Determinants and row reduction

2.12 Eigen values and diagonalization

3. TRIGONOMETRY

3.1 Sine rule

3.2 Cosine rule

3.3 Radians

3.4 Arc length and sector

3.5 Exact values of Sin

3.6 Cosine and tan of standard angles

3.7 Sec, Cosec, Cot, Sin, Cos and Tan

3.8 Compound /double angle formulae

4. EXPONENTIAL & LOGARITHMIC FUNCTIONS

4.1 Exponents

4.2 Solving exponential equations

4.3 Exponential functions

4.4 Properties of logarithms

4.5 Laws of logarithms

4.6 Exponential and logarithmic equations

4.7 Application of exponential and logarithmic functions

5. CURVE SKETCHING

5.1 Graphs of quadratics

5.2 Polynomials (from the factorized form)

5.3 Relationships between Graphs of y = f (x), y = f (x + a) and y = f (ax)

6. SEQUENCES & SERIES

6.1 Arithmetic sequences

6.2 Geometric sequences

6.3 Series

6.4 Sigma notation

6.5 Sequences

6.6 Defined recursively

7. COORDINATE GEOMETRY

7.1 Equations of straight lines

7.2 Gradient

7.3 Parallel and perpendicular lines

7.4 Equation of a circle

7.5 Circle theorems

8. PARAMETRIC EQUATIONS

8.1 Finding gradients

8.2 Conversion from Cartesian to parametric equations

9. CALCULUS I and II

9.1 Differentiation of powers of x, e(x), ln(x), sin(x), cos(x) and tan(x)

9.2 Product rule and quotient rule

9.3 Chain rule

9.4 Trapezium rule

9.5 Differential equations

9.6 Implicit differentiation

9.7 Sequences of real numbers

9.8 Convergent and divergent sequences

9.9 Tests for convergence (ratio, root, and comparison tests)

10. VECTORS

10.1 Dot product

10.2 Cross product

10.3 Scalar product

10.4 Equations of lines

10.5 Intersection of lines

10.6 Multiplication of matrices

11. NUMERICAL METHODS

11.1 Roots by sign change

11.2 Fixed point iteration

12. COMPLEX NUMBER

12.1 Definitions

12.2 Basic arithmetic

12.3 Argand diagram

12.4 Polynomial equations with complex roots

12.5 Polar form

12.6 Exponential notation

12.7 Roots of complex numbers

13. MATRICES

13.1 Definitions

13.2 Basic arithmetic

13.3 Fundamental operations with matrices

13.4 Matrices as linear transformation

13.5 Composition

13.6 Determinant

13.7 Inverse

13.8 Use in solving linear simultaneous equations

13.9 Equations of planes and geometric interpretation

13.10 Characteristic polynomial

13.11 Transpose of matrices

14. DESCRIPTIVE STATISTICS

14.1 Univariate analysis

14.2 Presenting data

14.3 Measures of central tendency

14.4 Measures of dispersion

14.5 Cumulative frequency

14.6 variance and standard deviation

15. PROBABILITY DISTRIBUTION

15.1 Random variable

15.2 The binomial distribution

15.3 The normal distribution

16. BIVARIATE ANALYSIS

16.1 Scatter diagrams

16.2 The line of best fit

16.3 Least squares regression

16.4 Measuring correlation

17. INTEGRATION

17.1 Antiderivatives and the indefinite integration

17.2 Area and indefinite integration

17.3 Integration by inspection

17.4 Integration by trigonometric substitution

17.5 Integration by parts

17.6 Fundamental theorem of calculus

17.7 Area between two curves

17.8 Volume of revolution

17.9 Definite integration with linear motion

17.10 Integration using trigonometric functions

17.11 Integration of improper integrals

17.12 Integration of average value of a function

17.13 Integration to find length of a curve

17.14 Double and triple integrals in rectangular and polar coordinates

18. ENGINEERING MATHEMATICS

18.1 Arrange and separate first order and second order differential equations

18.2 Laplace equation

18.3 Laplace transformation

18.4 Find general solution of partial differential equations

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- Phone: 0556312351
- Country: United Arab Emirates
- City: Abu Dhabi
- Location: Abu Dhabi
- Expires: 121 days, 10 hours
- Listed: November 23, 2020 10:27 am