The following topics will be covered in IB Math HL Class.

Chapter 1: NUMBER AND ALGEBRA

• Number Systems
• Accuracy and Standard Form
• Sequences and Series
• Sequences and Series: Applications
• Exponents
• Logarithms
• Permutations and Combinations
• The Binomial Expansion
• Partial Fractions
• Complex Numbers
• The Complex Plane
• De Moivre’s Theorem
• Deductive proof
• Proof by Induction
• Proof by Contradiction
• Systems of Equations
• Number and Algebra: Long Answer Questions

Chapter 2: FUNCTIONS

• Basics of Functions
• Graphs of Functions
• Functions and Graphs with a GDC
• Linear Functions
• Reciprocal Functions
• Quadratic Functions
• Solving Quadratic Equations
• Polynomial Functions
• Sum and Product of Roots
• Inequalities
• Exponential and Logarithmic Functions
• Functions: Long Answer Questions

Chapter 3: GEOMETRY AND TRIGONOMETRY

• Solution of Triangles
• 3-D Geometry
• Cylinder, Sphere and Cone
• Circular Functions
• Trigonometric Identities
• Solving Trigonometric Equations
• Graphing Periodic Functions
• Basics of Vectors
• Scalar (Dot) Product
• Vector (Cross) Product
• Equations of Lines
• Equations of Planes
• Intersections
• Angles in Three Dimensions
• Geometry and Trigonometry: Long Answer Questions

Chapter 4: STATISTICS AND PROBABILITY

• Definitions
• Averages
• Measures of spread
• Correlation
• Sampling Methods
• Probability Notation and Formulae
• Lists and Tables of Outcomes
• Venn Diagrams
• Tree Diagrams
• Discrete Probability Distributions
• The Binomial Distribution
• The Normal Distribution
• Continuous Distributions
• Statistics and Probability: Long Answer Questions

Chapter 5: CALCULUS

• Differentiation – The Basics
• Differentiation from First Principles
• L’Hôpital’s Rule
• The Chain Rule
• Product and Quotient Rules
• Second Derivative
• Graphical Behaviour of Functions
• Applications of Differentiation
• Implicit Differentiation
• Indefinite Integrals
• Definite Integrals
• Applications of Integration
• Integration by Substitution
• Integration by Parts
• Integration using Partial Fractions
• General Methods for Integration
• Differential Equations
• Maclaurin Series
• Calculus: Long Answer Questions

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