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If you’re looking for clear, personalized help in math or physics, this is a live 1-on-1 lesson with me, Tim Chen. I work with students from a wide range of programs. Whether you’re preparing for big exams, tackling tough topics, or aiming for top scores and universities.

 

Lessons are always tailored to your pace, your goals, and your learning style. I’ll help you build a solid understanding, improve problem-solving, and feel more confident step by step.

 

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Course Contents

 

Part I – Core Topics

 

Unit 1: Straight Lines

• Lines in the Cartesian plane
• Graphing a straight line
• Perpendicular bisectors
• Simultaneous equations

 

Unit 2: Sets and Venn Diagrams

• Sets, Intersection, and Union
• Interval notation & Venn diagrams
• Problem solving with Venn diagrams

 

Unit 3: Surds and Exponents

• Surds and radicals
• Laws of exponents
• Scientific notation

 

Unit 4: Equations

• Quadratic and Power equations
• Solving polynomial equations using technology

 

Unit 5: Sequences and Series

• Arithmetic and Geometric sequences
• Financial mathematics
• Infinite geometric series

 

Unit 6: Measurement

• Circles, arcs, and sectors
• Surface area & Volume

 

Unit 7: Right Angled Triangle Trigonometry

• Trigonometric ratios & Problem solving
• True bearings

 

Unit 8: The Unit Circle and Radian Measure

• Radian measure & Unit circle
• Pythagorean identity

 

Unit 9: Non-Right Angled Triangle Trigonometry

• Sine and Cosine rules
• Area of a triangle

 

Unit 10: Points in Space

• Measurement and Trigonometry in 3D

 

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Unit 11: Probability

• Theoretical and Experimental probability
• Conditional probability & Bayes’ theorem

 

Unit 12: Sampling and Data

• Sampling methods & Types of data

 

Unit 13: Statistics

• Central tendency & Spread (Standard deviation)
• Box and whisker diagrams

 

Unit 14: Quadratic Functions

• Graphs, Discriminant, and Optimization

 

Unit 15: Functions

• Domain, Range, and Inverse functions

 

Unit 16: Transformations of Functions

• Translations, Stretches, and Reflections

 

Unit 17: Trigonometric Functions

• Periodic behaviour & Modeling
• Trigonometric equations

 

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Part II – Advanced Topics

 

Unit 1: Further Trigonometry

• Reciprocal and Double angle identities

 

Unit 2: Exponential Functions

• Natural exponential & Growth/Decay

 

Unit 3: Logarithms

• Laws of logarithms & Logarithmic equations

 

Unit 4: Introduction to Complex Numbers

• Operations and Conjugates

 

Unit 5: Real Polynomials

• Remainder/Factor theorem & Fundamental Theorem of Algebra

 

Unit 6: Further Functions

• Absolute value & Partial fractions

 

Unit 7 & 8: Counting & Binomial Theorem

• Permutations, Combinations, and Binomial expansions

 

Unit 9 & 10: Reasoning and Proof

• Deduction, Contradiction, and Induction

 

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Unit 11: Linear Algebra

• Systems of equations & Row operations

 

Unit 12 & 13: Vectors & Applications

• Vector algebra in 2D/3D & Lines/Planes

 

Unit 14: Complex Numbers (Advanced)

• Polar/Euler’s form & De Moivre’s theorem

 

Unit 15 – 19: Calculus (Differentiation)

• Limits, Rules of Differentiation, and Applications

 

Unit 20 – 22: Calculus (Integration)

• Techniques, Definite integrals, and Area/Volume

 

Unit 23 – 25: Kinematics & Differential Equations

• Motion problems & Logistic growth models

 

Unit 26 – 28: Advanced Statistics

• Bivariate statistics & Random variables (Discrete/Continuous)

 

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Subjects I Teach

 

• Standardized Tests: SAT math, ACT math
• AP Courses: Calculus AB/BC, Physics 1/2/C, Statistics, Precalculus
• IBDP: Math AA/AI, Physics, IA Guidance
• A-Level: Mathematics, Physics

 

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About Me

 

I’ve worked with students from all over the world, focusing on clear explanations, strong fundamentals, and real progress.

 

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Lesson Format

 

• Live 1-on-1 via Zoom (English or Mandarin)
• Flexible scheduling with optional recordings

 

Let’s work together. One concept, one session at a time.