Instructor (Grade 11 & 12)

Teaching Experience

With extensive teaching experience in both Canadian and Bangladeshi curricula, I have successfully instructed high school students in Mathematics and Physics, employing innovative teaching methods to enhance understanding and engagement. My experience includes online instruction for the Canadian curriculum, where I adapted lessons to suit a virtual learning environment.

Mathematics Instructor

Grade 11 & 12 (Canadian Curriculum - Online)

Courses:

• Mathematics IB SL1
• Mathematics IB SL2
• Mathematics HL
• MathPower 10
• Advanced Functions

Key Topics Covered:

• Algebra: Sequences, series, exponents, logarithms, binomial expansion, polynomial operations, factoring, mathematical induction
• Functions: Linear, quadratic, rational, exponential, logarithmic; transformations, composite functions, graphing techniques
• Trigonometry: Angles, trigonometric ratios, identities, radian measure, graphing, solving equations
• Vectors: Operations, dot product, scalar triple product, vector representation in 3D
• Calculus: Differentiation, integration, Taylor and Maclaurin series, limits
• Complex Numbers: Polar form, Euler’s formula, operations
• Statistics and Probability: Descriptive statistics, probability distributions, hypothesis testing
• Matrices and Transformations: Operations, determinants, eigenvalues, geometric transformations
• Geometry: Pythagorean theorem, properties of angles and triangles
• Linear Systems: Solving equations, slope, intercepts
• Exponential and Logarithmic Functions: Properties, applications
• Numerical Simulation: Implementing numerical simulations in research contexts

Grade 11 & 12 (BD Curriculum)

Key Topics Covered:

• Sets: Definitions, operations, Venn diagrams
• Functions: Types, domain, range, composition
• Complex Numbers: Polar form, operations, De Moivre’s theorem
• Algebra: Polynomial equations, sequences, series
• Trigonometry: Functions, identities, equations
• Matrices: Operations, determinants, inverses
• Conic Sections: Equations, properties
• Calculus: Limits, continuity, differentiation, integration
• Probability and Statistics: Basic concepts, distributions
• Coordinate Geometry: Equations of lines and circles
• Differential Equations: First-order differential equations
• Linear Programming: Graphical method
• Mathematical Induction: Principles and applications

Physics Instructor

Grade 11 & 12 (BD Curriculum)

Key Topics Covered:

• Physical Quantities: Units, measurement, dimensional analysis
• Motion in One Dimension: Displacement, velocity, acceleration
• Laws of Motion: Newton’s laws, friction, circular motion
• Work, Energy, and Power: Work-energy theorem, conservation of energy
• System of Particles and Rotational Motion: Center of mass, torque, angular momentum
• Gravitation: Universal law of gravitation, potential energy
• Properties of Matter: Elasticity, pressure, viscosity
• Thermodynamics: Laws of thermodynamics, heat transfer
• Kinetic Theory of Gases: Ideal gas law, molecular theory
• Oscillations and Waves: Simple harmonic motion, wave properties
• Electrostatics: Coulomb’s law, electric field, potential
• Current Electricity: Ohm’s law, circuits, electrical power
• Magnetism: Magnetic fields, electromagnetic induction
• Optics: Reflection, refraction, lenses
• Modern Physics: Quantum theory, atomic structure
• Communication Systems: Basics of communication, modulation