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$107.93–161.90/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.

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