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IB
Mathematics Applications & Interpretation - HL only |
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| Topic 1 = |
Number & Algebra |
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Unit 1 |
Rounding & Significant Figures |
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Unit 2 |
Scientific Notation |
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Unit 3 |
Percentage Error |
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Unit 4 |
Log and Exponent Laws (More Depth) |
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Unit 5 |
Arithmetic Sequences & Series |
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Unit 6 |
Geometric Sequences & Series |
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Unit 7 |
Sigma Notation |
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Unit 8 |
Compound Interest & Depreciation |
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Unit 9 |
Loans & Amortization |
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Unit 10 |
Annuities |
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Unit 11 |
GDC Tips : Finance Solver (TVM Solver) |
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Unit 12 |
Introduction to Complex Numbers |
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Unit 13 |
Forms of Complex Numbers |
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Unit 14 |
Operations of Complex Numbers |
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Unit 15 |
GDC Tips : Complex Numbers |
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Unit 16 |
Introduction to Matrices → (Order, Addition & Subtraction, Scalar
Multiplication, Matrix Multiplication, Determinant & Inverse, Column,
Row, Square, Zero, Identity) |
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Unit 17 |
Solving Simultaneous Equations Using Matrices |
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Unit 18 |
Eigenvalues, Eigenvectors & Matrix Power |
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Unit 19 |
GDC Tips : Matrices |
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| Topic 2 = |
Functions |
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Unit 1 |
Forms of Linear Lines -
(Slope-Intercept form, Point-Slope form, Standard form) |
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Unit 2 |
Gradients & Intercepts of Linear Lines |
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Unit 3 |
Parallel & Perpendicular Gradients |
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Unit 4 |
Perpendicular Bisectors |
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Unit 5 |
GDC Tips : Intersection of Two Lines |
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Unit 6 |
Functions : Overviews & types ,
Function Modeling (More Depth) |
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Unit 7 |
GDC Tips : Plotting Functions & Analysis Tools |
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Unit 8 |
GDC Tips : Using nSolve to Solve Equations |
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Unit 9 |
Domain & Range, Composite, Inverse |
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Unit 10 |
Transformations of Functions - (Shift, Stretch,
Reflection) |
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| Topic 3 = |
Geometry & Trigonometry |
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Unit 1 |
Geometry of 3D Shapes - (Cube,
Cylinder, Sphere, Rectangular Prism, Pyramid, Cone) |
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Unit 2 |
Pythagoras Theorem |
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Unit 3 |
Right Angled trig (Sin / Con / Tan) |
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Unit 4 |
Sine & Cosine Rules, Area of a Triangle |
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Unit 5 |
Length of Arc, Area of Sector (Circles) |
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Unit 6 |
Degrees, Radians |
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Unit 7 |
Voronoi Diagrams |
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Unit 8 |
Trig Identities and Trig Functions |
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Unit 9 |
Unit Circle & Trig Ratios |
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Unit 10 |
Graphs of Trig Functions |
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Unit 11 |
Graph Theory |
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Unit 12 |
Geometry Transformation Using Matrices |
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Unit 13 |
Vectores |
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| Topic 4 = |
Statistics & Probability |
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Unit 1 |
Mean, Median, Mode |
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Unit 2 |
Quartiles , Interquartile Range , Box & Whisker |
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Unit 3 |
Outliers |
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Unit 4 |
Sampling and Data Collection Methods |
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Unit 5 |
Data Sampling Methods - (Simple
Random Sampling, Systematic Sampling, Convenience Sampling, Stratified Random
Sampling, Quata Sampling) |
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Unit 6 |
Independent & Dependent Variables, Scatter Plots |
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Unit 7 |
Correlation : Person's & Spearman's |
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Unit 8 |
Line of Regression Equation(Reliability) |
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Unit 9 |
Non-linear Regrassion |
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Unit 10 |
Tree Diagrams(Probability) |
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Unit 11 |
Venn Diagrams(Probability) |
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Unit 12 |
Steady State & Long Term
Probabilities (Transition Matrices, Markov Chains) |
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Unit 13 |
Probability Distribution |
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Unit 14 |
Binomial Distribution |
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Unit 15 |
More Sophistication with Random
Variable and Distributions (Poisson) |
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Unit 16 |
Normal Distribution |
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Unit 17 |
Hypothesis testing - (t-tests to
Compare Means, x² test of Independence(Known as "Chi-Squared"), x² test of Fit
(GDF) |
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| Topic 5 = |
Calculus |
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Unit 1 |
Derivatives, Second Derivatives |
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Unit 2 |
Differential Calculus, Differential Equation |
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Unit 3 |
Basics of Differentiation |
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Unit 4 |
Gradients of Tangents & Normals |
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Unit 5 |
Slope Fields |
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Unit 6 |
Turning Points - (Max / Min , Optimization) |
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Unit 7 |
Integration Calculus, Area, Valume |
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Unit 8 |
Basics of Antidifferentiation |
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Unit 9 |
Finding Areas Under Curves |
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Unit 10 |
Kinematics |
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Unit 11 |
Trapezoidal Rule |
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