Shakeel ur Rahman(O/A levels, IGCSE, IB, SAT) Math & Physics expert
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I am currently pursuing my master's in physics from NUST University Islamabad, Pakistan. I have been teaching all along my career and have six years of teaching experience in total. For the past 3 years, I have been teaching online to the students from 𝐔𝐒𝐀, 𝐂𝐚𝐧𝐚𝐝𝐚, 𝐔𝐊, 𝐎𝐦𝐚𝐧, and 𝐊𝐒𝐀. I have taught various curricula such as; O levels, A levels, IB, Matric, IGCSE, FSc, SATs, SHSAT, KS3, KS4, and middle school science subjects. Also, I am a professional tutor for cadet/military/PAF colleges' entrance exam preparation. Numerous students have joined prestigious institutes under my guidance in recent years. I really enjoy teaching and being a science teacher, I work hard to inculcate critical thinking to enhance the rational faculty of my students and try to spark their interest in sciences. I encourage questions and maintain students friendly environment in the class. I think students of today's time need Modern pedagogical methods to appease their inclinations. Keeping this in mind, I design interactive activities to make them learn better. Online teaching has recently been promulgated and in no time has become a close alternative to physical teaching. Despite the challenges, with the required equipment and necessary skills, it takes the learning to a next level, where you can use your skills beyond boundaries. I have a graphic tablet to support writing. It gives quite a lively touch to the class. Using the well-equipped meeting softwares makes it easier to have access to all the writing tools you need. Besides, I have subscription to multiple online resources to download topic-specific worksheets and exercises, which help the students to prepare for the exams exclusively and save them the ordeal of cutting through the jargon. I have always received positive feedback from my students. Most of them have experienced a professional and learning-focused environment in my classes. If you are looking to boost your learning in any of the above-mentioned subjects or you are a science enthusiast who wants to explore the new world of science, reach out here. As for my hobbies, I love reading about philosophy and history and in my free time, I watch movies, listen to music, and sometimes head out to explore nature.
'𝗦𝗨𝗕𝗝𝗘𝗖𝗧𝗦 𝗟𝗜𝗦𝗧𝗜𝗡𝗚𝗦'
Here is 12 weeks listing for 𝗧𝗥𝗜𝗚𝗡𝗢𝗠𝗘𝗧𝗘𝗥𝗬 Week 1: Introduction to Trigonometry • Basic concepts and definitions • Understanding angles and degrees • Trigonometric ratios: sine, cosine, tangent Week 2: Trigonometric Functions • Introduction to trigonometric functions • Properties of trigonometric functions • Graphs of trigonometric functions Week 3: Inverse Trigonometric Functions • Definition and properties of inverse trigonometric functions • Graphs of inverse trigonometric functions • Solving equations using inverse trigonometric functions Week 4: Trigonometric Identities and Equations • Fundamental identities • Verifying trigonometric identities • Solving trigonometric equations Week 5: Trigonometric Functions of Angles • Reference angles • Finding trigonometric functions of angles • Using the unit circle Week 6: Law of Sines and Law of Cosines • The Law of Sines • The Law of Cosines • Solving triangles using the Law of Sines and Law of Cosines Week 7: Applications of Trigonometry • Solving real-world problems using trigonometry • Applications in engineering and physics • Navigation and surveying Week 8: Polar Coordinates and Complex Numbers • Polar coordinates and graphs • Converting between rectangular and polar coordinates • Complex numbers in polar form Week 9: Vectors and Trigonometry • Definition of vectors • Vector components and magnitude • Dot product and cross product Week 10: Trigonometric Series • Definition of trigonometric series • Fourier series • Applications of trigonometric series in physics and engineering Week 11: Hyperbolic Functions • Introduction to hyperbolic functions • Definitions and properties • Graphs of hyperbolic functions Week 12: Further Applications of Trigonometry • Solving triangles using trigonometry • Applications in architecture and design • Trigonometry in art and music.
Here is 12 weeks listing for 𝗔𝗟𝗚𝗘𝗕𝗥𝗔: Week 1: Introduction to Algebra • Basic concepts and definitions • Operations with real numbers • Properties of operations Week 2: Solving Linear Equations • Solving one-step equations • Solving two-step equations • Solving multi-step equations Week 3: Graphing Linear Equations • Graphing linear equations in two variables • Slope and intercepts • Point-slope form Week 4: Solving Systems of Equations • Solving systems of equations by graphing • Solving systems of equations by substitution • Solving systems of equations by elimination Week 5: Factoring Polynomials • Factoring out the greatest common factor • Factoring trinomials • Factoring special products Week 6: Simplifying Algebraic Expressions • Simplifying expressions with exponents • Simplifying expressions with radicals • Simplifying expressions with fractions Week 7: Rational Expressions and Equations • Simplifying rational expressions • Multiplying and dividing rational expressions • Solving rational equations Week 8: Quadratic Equations • Solving quadratic equations by factoring • Solving quadratic equations by completing the square • Solving quadratic equations using the quadratic formula Week 9: Exponential and Logarithmic Functions • Exponential functions • Logarithmic functions • Properties of logarithms Week 10: Sequences and Series • Arithmetic sequences and series • Geometric sequences and series • Infinite sequences and series Week 11: Conic Sections • Introduction to conic sections • Parabolas • Ellipses and hyperbolas Week 12: Further Applications of Algebra • Applications in geometry and physics • Applications in finance and economics • Algebra in everyday life.
Here is 12 weeks listing for 𝗚𝗘𝗢𝗠𝗘𝗧𝗥𝗬:
Week 1: Introduction to Geometry • Basic concepts and definitions • Points, lines, and planes • Measuring angles and distances Week 2: Congruence and Similarity • Congruent figures • Similar figures • Ratios and proportions Week 3: Properties of Triangles • Classifying triangles by sides and angles • Triangle inequalities • Triangle congruence theorems Week 4: Polygons and Quadrilaterals • Properties of polygons • Classifying quadrilaterals • Parallelograms, rectangles, and squares Week 5: Circles • Properties of circles • Arcs and chords • Tangents and secants Week 6: Area and Perimeter • Formulas for area and perimeter of polygons • Formulas for area and circumference of circles • Applications in real-world problems Week 7: Three-Dimensional Figures • Properties of three-dimensional figures • Volume and surface area of prisms and pyramids • Volume and surface area of cylinders and cones Week 8: Similarity and Trigonometry • Similarity and scale factors • Right triangle trigonometry • Applications of trigonometry in geometry Week 9: Transformations • Translations, reflections, and rotations • Dilations and scale factors • Applications in real-world problems Week 10: Coordinate Geometry • Graphing points and lines in the coordinate plane • Distance and midpoint formulas • Equations of lines and circles Week 11: Non-Euclidean Geometry • Introduction to non-Euclidean geometries • Hyperbolic geometry • Applications in physics and cosmology Week 12: Further Applications of Geometry • Applications in architecture and design • Applications in art and sculpture • Geometry in everyday life.
Here is 6 weeks listing for 𝗖𝗢𝗢𝗥𝗗𝗜𝗡𝗔𝗧𝗘 𝗚𝗘𝗢𝗠𝗘𝗧𝗥𝗬
Week 1: Introduction to Coordinate Geometry • The Cartesian coordinate system • Graphing points and lines • Distance and midpoint formulas Week 2: Slope and Equations of Lines • Slope and intercepts of lines • Point-slope form of the equation of a line • Standard form of the equation of a line Week 3: Parallel and Perpendicular Lines • Parallel lines and their slopes • Perpendicular lines and their slopes • Applications in geometry and physics Week 4: Circles and Conics • Equations of circles • Distance and midpoint formulas for circles • Introduction to conic sections Week 5: Transformations and Symmetry • Reflections and translations • Rotations and dilations • Symmetry and its applications Week 6: Applications of Coordinate Geometry • Geometric proofs using coordinate geometry • Applications in physics and engineering • Review of coordinate geometry.
Here is listing for 12 weeks of 𝗣𝗥𝗘-𝗖𝗔𝗟𝗖𝗨𝗟𝗨𝗦:
Week 1: - Introduction to Pre-Calculus - Real numbers and number systems - Exponents and logarithms
Week 2: - Functions and their properties - Graphing linear functions - Solving linear equations and inequalities
Week 3: - Quadratic functions and their properties - Solving quadratic equations - Complex numbers
Week 4: - Polynomial functions and their properties - Factoring polynomials - Rational functions and their properties
Week 5: - Exponential functions and their properties - Logarithmic functions and their properties - Applications of exponential and logarithmic functions
Week 6: - Trigonometric functions and their properties - Trigonometric identities and equations - Graphing trigonometric functions
Week 7: - Trigonometric functions of special angles - Trigonometric equations and inequalities - Applications of trigonometric functions
Week 8: - Conic sections (circles, ellipses, parabolas, hyperbolas) - Systems of linear equations and inequalities - Matrices and determinants
Week 9: - Sequences and series - Arithmetic and geometric sequences - Mathematical induction
Week 10: - Probability and statistics - Counting principles - Measures of central tendency and variability
Week 11: - Vectors and vector operations - Dot product and cross product - Applications of vectors
Week 12: - Limits and continuity - Derivatives and their applications - Introduction to calculus concepts
Here is listing for 20 weeks of 𝗛𝗜𝗚𝗛 𝗦𝗖𝗛𝗢𝗢𝗟 𝗠𝗔𝗧𝗛𝗘𝗠𝗔𝗧𝗜𝗖𝗦:
Week 1: Introduction to Algebra • Basic concepts and definitions • Operations with real numbers • Properties of operations Week 2: Solving Linear Equations • Solving one-step equations • Solving two-step equations • Solving multi-step equations Week 3: Graphing Linear Equations • Graphing linear equations in two variables • Slope and intercepts • Point-slope form Week 4: Systems of Equations • Solving systems of equations by graphing • Solving systems of equations by substitution • Solving systems of equations by elimination Week 5: Exponents and Polynomials • Laws of exponents • Multiplying and dividing monomials • Adding and subtracting polynomials Week 6: Factoring Polynomials • Factoring out the greatest common factor • Factoring trinomials • Factoring special products Week 7: Rational Expressions and Equations • Simplifying rational expressions • Multiplying and dividing rational expressions • Solving rational equations Week 8: Quadratic Equations • Solving quadratic equations by factoring • Solving quadratic equations by completing the square • Solving quadratic equations using the quadratic formula Week 9: Inequalities and Absolute Value • Solving and graphing inequalities • Solving absolute value equations and inequalities • Applications of inequalities Week 10: Functions and Relations • Graphing and identifying functions • Domain and range • Operations with functions Week 11: Radicals and Complex Numbers • Simplifying radical expressions • Operations with radical expressions • Complex numbers Week 12: Further Applications of Algebra • Applications in geometry and physics • Applications in finance and economics • Algebra in everyday life Week 13: Geometry • Introduction to Euclidean geometry • Lines and angles • Triangles and congruence Week 14: Similarity and Trigonometry • Similar triangles and proportions • Trigonometric functions and their properties • Solving trigonometric equations Week 15: Circles and Constructions • Properties of circles • Constructing geometric figures • Geometric transformations Week 16: Three-Dimensional Geometry • Solid figures and their properties • Surface area and volume • Applications in engineering and architecture Week 17: Probability and Statistics • Basic concepts of probability • Theoretical and experimental probability • Statistical analysis of data Week 18: Sequences and Series • Arithmetic sequences and series • Geometric sequences and series • Infinite sequences and series Week 19: Limits and Derivatives • Introduction to calculus • Limits of functions • Derivatives and their applications Week 20: Integrals and Applications of Calculus • Integration and its applications • Calculus in physics and engineering • Review of high school mathematics.
Here is 20 weeks listing for 𝗛𝗜𝗚𝗛 𝗦𝗖𝗛𝗢𝗢𝗟 𝗣𝗛𝗬𝗦𝗜𝗖𝗦:
Week 1: Introduction to Physics • Basic concepts and principles • SI units and measurement • Scientific notation and significant figures Week 2: Kinematics • Displacement, velocity, and acceleration • One-dimensional motion • Two-dimensional motion Week 3: Newton's Laws of Motion • First law of motion • Second law of motion • Third law of motion Week 4: Forces and Motion • Frictional forces • Tension and normal forces • Circular motion Week 5: Work and Energy • Work and power • Kinetic and potential energy • Conservation of energy Week 6: Momentum and Collisions • Impulse and momentum • Conservation of momentum • Elastic and inelastic collisions Week 7: Rotational Motion • Torque and angular momentum • Moment of inertia • Rotational kinetic energy Week 8: Waves and Sound • Wave properties • Sound waves and their properties • The Doppler effect Week 9: Light and Optics • Reflection and refraction • Image formation by mirrors and lenses • Wave nature of light Week 10: Electromagnetism • Electric charge and fields • Electric potential and capacitance • Magnetic fields and forces Week 11: DC Circuits • Voltage, current, and resistance • Ohm's law and circuits • Series and parallel circuits Week 12: Magnetism and Electromagnetic Induction • Magnetic fields and forces on moving charges • Electromagnetic induction • AC circuits Week 13: Modern Physics • Special theory of relativity • Quantum mechanics • Nuclear physics Week 14: Thermodynamics • Temperature and heat • Laws of thermodynamics • Heat engines and refrigerators Week 15: Fluid Mechanics • Properties of fluids • Pressure and buoyancy • Bernoulli's principle Week 16: Atomic and Nuclear Physics • Atomic structure and properties • Radioactivity and nuclear reactions • Nuclear energy and its applications Week 17: Astrophysics • The solar system • Stars and galaxies • Cosmology and the universe Week 18: Applications of Physics • Applications in engineering and technology • Medical physics and biophysics • Physics in everyday life Week 19: Review and Test Preparation • Review of key concepts and principles • Test-taking strategies and practice • Preparation for final exams and college entrance exams Week 20: Projects and Presentations • Independent research projects • Group presentations on physics topics • Final reflection and review.
Here is 20 weeks listing for 𝗦𝗔𝗧 𝗠𝗔𝗧𝗛𝗘𝗠𝗔𝗧𝗜𝗖𝗦 Preparation:
Week 1: Arithmetic • Basic operations with numbers • Fractions, decimals, and percents • Ratios and proportions Week 2: Algebra and Functions • Linear equations and inequalities • Quadratic equations and functions • Exponential and logarithmic functions Week 3: Geometry and Measurement • Properties of geometric figures • Trigonometric functions and identities • Circles and their properties Week 4: Data Analysis and Statistics • Descriptive statistics • Probability and random variables • Statistical inference and hypothesis testing Week 5: Advanced Algebra and Functions • Complex numbers and equations • Polynomials and rational functions • Sequences and series Week 6: Coordinate Geometry • Equations of lines and planes • Distance and midpoint formulas • Conic sections and their properties Week 7: Trigonometry • Trigonometric functions and their graphs • Trigonometric identities and equations • Applications of trigonometry Week 8: Matrices and Determinants • Basic matrix operations • Inverse and determinant of a matrix • Applications of matrices Week 9: Sequences, Probability, and Statistics • Arithmetic and geometric sequences • Probability and combinatorics • Inferential statistics Week 10: Pre-Calculus • Limits and continuity • Derivatives and their applications • Integration and its applications Week 11: Calculus • Limits and derivatives • Applications of derivatives • Integrals and their applications Week 12: Practice Tests and Review • Full-length practice tests • Review of key concepts and strategies • Test-taking tips and strategies Week 13: Practice Tests and Review • Full-length practice tests • Review of key concepts and strategies • Test-taking tips and strategies Week 14: Practice Tests and Review • Full-length practice tests • Review of key concepts and strategies • Test-taking tips and strategies Week 15: Test-taking Strategies • Tips and techniques for multiple choice questions • Strategies for grid-in questions • Time management and pacing Week 16: Test-taking Strategies • Tips and techniques for multiple choice questions • Strategies for grid-in questions • Time management and pacing Week 17: Test-taking Strategies • Tips and techniques for multiple choice questions • Strategies for grid-in questions • Time management and pacing Week 18: Review and Practice • Review of problem areas and challenging topics • Additional practice problems and exercises • One-on-one tutoring and support Week 19: Review and Practice • Review of problem areas and challenging topics • Additional practice problems and exercises • One-on-one tutoring and support Week 20: Final Review and Test Preparation • Comprehensive review of all topics and concepts • Practice tests and simulations • Final test-taking tips and strategies.
Subjects
SAT (Scholastic Assessment Test) Beginner-Expert
Physics IGCSE-Bachelors/Undergraduate
Geometry Beginner-Expert
Precalculus Grade 10-Grade 12
Mathematics IGCSE-A level
Trigonometry Beginner-Expert
Key Stage 3 Mathematics
IB board Maths Beginner-Expert
Algebra 1 and 2 Beginner-Expert
Calculus 1 AS level-Bachelors/Undergraduate
Quantum Computing Beginner-Expert
Algebra and Trigonometry Grade 5-A level
KS3 Science (Year 7-Year 9) Beginner-Expert
Algebra 1, 2, 3 Grade 5-O level
GCSE Edexcel Science
KS3 Maths British Curriculum
Cadet College Entrance Test Preparation Grade 5-Grade 11
Quantum computation Beginner-Expert
Experience
Teacher (Jun, 2019–Present) at online tutoring
I've been teaching students online from USA, Canada, UK, Oman and KSA for past three years.
teacher (Jun, 2016–Present) at home tutor
I have been working as a home tutor for the past 6 years and I have taught various curricula such as, O levels, matric, IGCSE, F.Sc, Cadet colleges entrance exam prep, ECAT and SATs.
Education
MS physics (Sep, 2021–now) from NUST, Islamabad Pakistan
MSc Physics (Oct, 2017–Jun, 2020) from University of The Punjab Lahore
BSc ( Mathematics, Physics, Computer) (Dec, 2015–May, 2017) from University of The Punjab Lahore
Higher Secondary (Jun, 2012–Jul, 2014) from Military college murree
Secondary (Jun, 2010–May, 2012) from Military college murree
Fee details
Rs30,000–45,000/month
(US$107.82–161.73/month)
I charge fee for 1 hours class, 5 days a week. It can vary based on the number of subjects a student needs help with or the time required.