Teacher for Mathematics, Physics, All Grades, Curricula SAT,GRE, GED, emSAT

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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