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IB
Mathematics Analysis & Approaches - HL only |
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| Topic 1 = |
Number & Algebra |
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Unit 1 |
Arithmetic Sequences & Series |
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Unit 2 |
Geometric Sequences & Series |
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Unit 3 |
Sigma Notation |
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Unit 4 |
Exponents Laws & Solving Equations (more depth) |
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Unit 5 |
Log Laws & Solving Equations (more depth) |
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Unit 6 |
Binomial Theorem |
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Unit 7 |
Combinations & Permutations |
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Unit 8 |
Simple Deductive Proof |
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Unit 9 |
Partial Fractions |
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Unit 10 |
Counting Principles |
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Unit 11 |
Contradiction |
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Unit 12 |
Mathematics Induction |
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Unit 13 |
Complex Numbers & De Moivre's Theorem |
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Unit 14 |
Systems of Linear Equations |
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Unit 15 |
Binomial Theorem for Fractional & Negative
Indices |
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| Topic 2 = |
Functions |
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Unit 1 |
Functions : Domain, Range,
Composite, Inverse |
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Unit 2 |
Transformation of Functions |
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Unit 3 |
Factorising Quadratic Functions & Equations |
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Unit 4 |
Completing the Square(Quadratics) |
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Unit 5 |
Discriminant Test(Quadratics) |
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Unit 6 |
Rational Functions(more depth),
Asymptotes, Graphs(Linear Functions & [f]² ) |
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Unit 7 |
Exponential & Logarithmic Functions |
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Unit 8 |
Polynomial Theorems, Remainder, Factor, Division |
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Unit 9 |
Sum & Product of Roots |
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Unit 10 |
Sketching Functions with a Calculator |
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| Topic 3 = |
Geometry & Trigonometry |
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Unit 1 |
Radians, Leanth of arc, Area of
Sector |
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Unit 2 |
Distance between two Plane, Valume
& Area (Right-Pyramid, Right Cone, Cone, Sphere) |
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Unit 3 |
Unit Circle & Trigonometric Ratios |
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Unit 4 |
Trig Identities |
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Unit 5 |
Trig Graphs & Circular Functions |
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Unit 6 |
Solving Trigonometric Functions & Equations |
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Unit 7 |
Sine & Cosine Rule, Area of a Triangle |
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Unit 8 |
Degrees & Radians |
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Unit 9 |
Vector(more depth) |
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Unit 10 |
Scalar Product & Angle Between two Vectors |
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Unit 11 |
Vectors Equation of a Line |
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Unit 12 |
Intersection of two Vector Lines |
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Unit 13 |
Vector Product |
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Unit 14 |
Equations of Plane (Vectors) |
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Unit 15 |
Intersection of a Line and Plane |
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| Topic 4 = |
Statistics & Probability |
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Unit 1 |
Mean, Standard Deviation & Variance(more depth) |
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Unit 2 |
Bivariate Statistics |
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Unit 3 |
Venn Diagrams & Probability |
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Unit 4 |
Conditional Probability |
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Unit 5 |
Bayes Theorem |
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Unit 6 |
Concept in Sampling |
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Unit 7 |
Concept in Displaying Data |
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Unit 8 |
Correlation & Regression(more depth) |
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Unit 9 |
x on y Regration Line Equation |
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Unit 10 |
Probability Distribution |
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Unit 11 |
Binomial Distribution |
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Unit 12 |
Normal Distribution |
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Unit 13 |
Probability Density Functions |
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| Topic 5 = |
Calculus |
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Unit 1 |
Derivatives (Derivatives of xᵑ, sinx, cosx, tanx, eᵡ, lnx ,Chain Rule, Product Rule,
Quatient Rule) |
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Unit 2 |
Standard Derivatives |
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Unit 3 |
Integrals & Standard Integrals |
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Unit 4 |
Equation of a Tangent |
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Unit 5 |
Optimization & Calculus Curves |
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Unit 6 |
L'Hopital's Rule |
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Unit 7 |
Implicit Differentiation |
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Unit 8 |
Related Rates |
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Unit 9 |
Integration Rules |
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Unit 10 |
Integration by Substitution |
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Unit 11 |
Integration by Parts |
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Unit 12 |
Volume of Revolution |
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Unit 13 |
Kinematics |
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Unit 14 |
Maclaurin Series |
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