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IB Mathematics Course
Introduction to the IB Maths SL & HL
Standard Level Guide
Higher Level Guide
Module 1 - Algebra
Sequences and Series
Exponents and Logarithms
Binomial Theorem
Counting Principles HL
Proof by Induction HL
Complex Numbers HL (11:53)
Module Tests
Module 2 - Functions and Equations
Basics - Composite, Inverse, Domain, Range
Rational Functions
Quadratic Functions and Equations
Polynomial Functions and Equations HL (9:19)
Transformations of Graphs
Solving Various Equations
Solving Inequalities HL
Exponential & Logarithmic Functions and Equations
Module Tests
Module 3 - Trigonometry
Arcs, Sectors, Circles
Trigonometric Functions, Equations & Identities
Inverse Trigonometric Functions HL
Triangle Trigonometry
Module Tests
Module 4 - Vectors
Basics of Vectors
Scalar Product
Equations of Lines
Vector Product HL
Lines & Planes in 3D HL
Bonus: Matrices
Module Tests
Module 5 - Statistics and Probability
Descriptive Statistics
Linear Regression (SL)
Probability of Events
Discrete & Continuous Random Variables
Binomial Distribution
Normal Distribution
Module Tests
Module 6 - Calculus
Differentiation Basics
Maxima and Minima
Tangents and Normals
Further Differentiation Methods
Optimization
Implicit Differentiation (HL) & Related Rates
Integration Basics
Integration by Substitution
Areas and Volumes
Module Tests
Module 7 - Past Paper Detailed Solutions
2017
2016
2015
2014
2013
Proof by Induction HL
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