Fatima S.

In order to get the complete knowledge in Calculus , first I introduce the student to the main definition of limits and how to deal with each case, after that we get into continuity , derivative , differentiability , differential equations , chain rule , series , in addition to the definition of integration .

I have been teaching GCSE / IGCSE for more than three years .

I have been teaching functions for 5 years , including : Limits , Derivative and its applications ( L' Hopital's rule , sense of variation of a function , Extremes (min , max} , second derivations - Concavity , continuous and strictly monotonous functions , Asymptotes , Asymptotic Direction) , Rational and Irrational functions , Inverse functions , Inverse trigonometric functions , Exponential and Logarithm functions . Note that : all these chapters includes worksheets and course pdfs .

I have been teaching trigonometry for 5 years , with very simple and clear methods ; starting with the main formulas and all the basics of trigonometric angles and arcs ; passing through the trigonometric equations , polar coordinates of a point and the relations between cartesian and polar coordinates of a point , in addition to the " Addition formulas ; Trigonometric circular functions of a double root ; Expression of sin a , cos a , and tan a , in terms of tan a\2 ; and Transformation Formulas " . Note that : also all these chapters are fully detailed including worksheets and course pdfs.

Here in this section we get more detailed about the university courses including the " Real-valued functions of several variables-Limits and Continuity ; Differentiability of Real-valued functions of several variables " ; Integration including " Indefinite Integrals , The Riemann Integrals , and Improper Riemann Integrals " , which includes the partial fraction decomposition method ; differential equations that includes the ordinary ones with their applications , beside the parametric equations , polar coordinates and vector-valued functions , and series Note that : Basic Topology can be taught too . (Each chapter include worksheets and course pdf)

I can provide students with all the knowledge of " Numbers and Operations " including : the properties of integers , number lines, square and square roots , fractions , prime numbers, sequences, sets , counting , ratios , multiples and reminders ,sets, proportions and percentages . In addition to , " Algebra and Functions " which includes : operations on algebraic expressions , factoring , exponents , solving equations , absolute value , rational equations and inequalities , system of linear equations and inequalities. For the " Geometry and Measurement section" it includes : the geometric notations , points and lines , angles in plane , areas and perimeters, other polygons , circles , solid geometry , coordinate geometry and transformations . And the " Data Analysis , Statistics and Probability section " that includes the data interpretation , statistics , elementary probability , and geometric probability .

In this section, the student will be well prepared and having all the basics in order to be ready for studying calculus .

I've concentrated on targeted strategies and overall content review , utilizing official ACT practice materials, in addition , I guide students through various question types, ensuring familiarity and confidence in applying the exam.