Join our expert tutor, Mudassir as he provides you with Math AI HL Spring Revision Tuition. See our detailed Curriculum breakdown below.

Welcome AI HL students. This is a 3-day Revision Course which will be run at a good pace and shall cover all the topics with solving questions from the past papers. The course is split as follows:

Day 1

Topic 1 - Number and Algebra

• Arithmetic Sequences and Series
• Geometric Sequences and Series
• Sigma Notation
• Compound Interest and Depreciation
• Loans and Amortization
• Annuities
• GDC Tips (TVM Solver)
• Complex Numbers
• Operations of Complex Number
• Complex Numbers using GDC
• Matrices
• Solving Simultaneous Linear Equation using Matrices
• Eigenvalues, Eigenvectors and Matrix Powers
• Solving Matrix Operation using GDC

Topic 5 - Calculus

• Differentiation, Tangents, and Normals
• Rates of Change and Applications
• Max/Min and Optimization
• Related Rates
• Integration, Area under and b/w the Curves.
• Trapezoidal Rule
• Volumes of Revolution
• Kinematics
• Differential Equation

Day 2

Topic 2 - Functions

• Forms of Linear Equation
• Gradients and Intercepts of Linear Lines
• Parallel and Perpendicular Gradients
• Perpendicular Bisectors
• The intersection of two lines using GDC
• Function and its Types
• Plotting Functions and Analyzing graphs using GDC
• Using n-Solve to Solve Equations
• Domain and Range Composite and Inverse of a Function
• Transformations of functions

Topic 3 - Geometry and Trigonometry

• The geometry of 3D Shapes
• Sine and Cosine Rule/ Area of Triangle 
• Length of Arc/ Area of Sector
• Degree vs Radian
• Voronoi Diagrams

Day 3

• Unit Circle and Trig Graphs
• Geometric Transformations
• Vector Equation of Straight Line
• Scalar and Vector Product
• Graph Theory

Topic 4 - Statistics and Probability

• Descriptive Statistics
• Bivariate Statistics
• Non-Linear Regression
• Tree Diagrams
• Venn Diagrams
• Transition Matrices and Markov Chains
• Probability Distribution
• Binomial Distribution
• Normal Distribution
• Poisson Distribution
• Combinations of Random Variables
• T-Test
• Chi-squared testing
• Further Hypothesis Testing
• Estimation and Confidence Interval