### Description

Expert Mathematics teacher for several grades / levels , IB and igcse. AP and a-level. Excellent examination preparations, mock examinations and past papers exercise. Encounter in teaching the next:

Uk Curriculum (Edexcel, Cambridge and AQA):

– IGCSE

– AS & A-degree:

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, however, not limited to, the next topics:

1. FUNCTIONS

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

1. 2 Function />1 notation<br.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 row and Determinants reduction

2.12 Eigen values and diagonalization

3. TRIGONOMETRY

3.1 Sine rule

3.2 Cosine rule

3.3 Radians

3.4 Arc sector

3.5 Exact values of Sin

3.6 tan and Cosine of standard angles

3.7 Sec, Cosec, Cot, Sin, 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 Strategies

11.1 Roots by sign change

11.2 Fixed stage iteration

12. COMPLEX Amount

12.1 Definitions

12.2 Simple arithmetic

12.3 Argand diagram

12.4 Polynomial equations with complicated roots

12.5 Polar form

12.6 Exponential notation

12.7 Roots of complicated numbers

13. MATRICES

13.1 Definitions

13.2 Basic arithmetic

13.3 Fundamental functions with matrices

13.4 Matrices as linear transformation

13.5 Composition

13.6 Determinant

13.7 Inverse

13.8 Used in solving linear simultaneous equations

13.9 Equations of planes and geometric interpretation

13.10 Feature polynomial

13.11 Transpose of matrices

14. DESCRIPTIVE Stats

14.1 Univariate analysis

14.2 Presenting information

14.3 Measures of central tendency

14.4 Measures of dispersion

14.5 Cumulative frequency

14.6 variance and regular deviation

15. PROBABILITY DISTRIBUTION

15.1 Random adjustable

15.2 The binomial distribution

15.3 The standard distribution

16. BIVARIATE ANALYSIS

16.1 Scatter diagrams

16.2 The relative collection of best match

16.3 Minimum squares regression

16.4 Measuring correlation

17. INTEGRATION

17.1 Antiderivatives and the indefinite integration

17.2 Region and indefinite integration

17.3 Integration by inspection

17.4 Integration by trigonometric substitution

17.5 Integration by pieces

17.6 Essential theorem of calculus

17.7 Area between two curves

17.8 Level of revolution

17.9 Definite integration with linear motion

17.10 Integration using trigonometric features

17.11 Integration of improper integrals

17.12 Integration of average worth of a functionality

17.13 Integration to get amount of a curve

17.14 Double and triple integrals in rectangular and polar coordinates

18. ENGINEERING MATHEMATICS

18.1 Arrange and separate first purchase and second purchase differential equations

18.2 Laplace equation

18.3 Laplace transformation

18.4 Find general remedy of partial differential equations

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