IB DP Mathematics AA HL Study Notes
IB DP Mathematics AA HL Study Notes
IB DP Mathematics AA HL Study Notes at IITian Academy offers details syllabus of Topics including Algebra, Functions, Calculus, Statistics, and Probability with clickable links to each Sub topics. Topics are explained and used in Exam Style Questions in practice Questions sections.
Focus of these Study notes is to have access to most important concepts and questions asked in IB Exam around that concept.
IB DP Mathematics AA HL Study Notes
IB Mathematics AA HL -Number and algebra
- Standard Form
- Arithmetic Sequences & Series
- Geometric sequences and series
- Compound interest
- Exponents and logarithms
- The sum of an infinite geometric sequence
- Binomial theorem
- Permutations and Combinations
- Partial fractions
- Complex numbers
- Polar Forms Euler’s Form
- Complex roots & de Moivre’s theorem
- Proof by Induction, Contradiction
- Systems of Liner Equations
IB Mathematics AA HL –Functions
- Equation of a straight line
- Function and their domain range
- The graph of linear equation function
- Key features of graphs
- Composite/Inverse functions
- The quadratic function
- Roots of Quadratics
- The rational function
- Exponential & logarithmic functions
- Solving equations
- Transformations of graphs
- Polynomials HL Study Notes
- More Rational Functions
- Odd & even functions
- Solving inequalities
- Absolute value graphs
Topic 3 Geometry and trigonometry – HL content
- SL 3.1 Distance , volume and Surface Area
- SL 3.2 Use of sine, cosine and tangent ratios
- SL 3.3 Applications of trigonometry
- SL 3.4 The circle radian measure of angles
- SL 3.5 Definition of cos , sin and tan angles
- SL 3.6 Pythagorean identities
- SL 3.7 Trigonometric Graph
- SL 3.8 Solving trigonometric equations
- AHL 3.9 Reciprocal trigonometric ratios
- AHL 3.10 Compound angle identities
- AHL 3.11 Relationships in trigonometric functions
- AHL 3.12 Concept of a vector
- AHL 3.13 Scalar product of two vectors
- AHL 3.14 Vector equation of a line in planes
- AHL 3.15- Different types of lines
- AHL 3.16 vector product of two vectors
- AHL 3.17 Vector equation of a plane
AHL 3.18 Intersections of a line with a planes
Topic 4 Statistics and probability – HL content
- SL 4.1 Concepts of population and sample
- SL 4.2 Understanding of box and whisker diagrams
- SL 4.3 Measures of central tendency
- SL 4.4 Linear correlation of bivariate data
- SL 4.5 Concepts of trial, outcome
- SL 4.6 Venn and tree diagrams, counting principles
- SL 4.7 Discrete and continuous random variables and their probability distributions
- SL 4.8 Binomial distribution, its mean and variance
- SL 4.9 normal distribution
- SL 4.10 Equation of the regression line
- SL 4.11 Formal definition and use of the formulae
- SL 4.12 Standardization of normal variables
- AHL 4.13 Use of Bayes’ theorem
- AHL 4.14 Variance of random variable
Topic 5 Calculus HL content
- SL 5.1 Concept of a limit
- SL 5.2 Increasing and decreasing functions
- SL 5.3 Derivative of f(x)
- SL 5.4 Tangents and normals at a given point, and their equations
- SL 5.5 Introduction to integration as anti differentiation of functions
- SL 5.6 Derivatives of xn , sinx , cosx , tanx
- SL 5.7 The second derivative
- SL 5.8 Local maximum and minimum values
- SL 5.9 Kinematic problems involving displacement, velocity and acceleration
- SL 5.10 Indefinite integral of xn , sinx, cosx, and ex
- SL 5.11 Definite integrals
- AHL 5.12 Informal ideas of limit, continuity and convergence
- AHL 5.13 The evaluation of limits
- AHL 5.14 Implicit differentiation
- AHL 5.15 Derivatives of secx , cscx , cotx
- AHL 5.15 Indefinite integrals
- AHL 5.16 Integration by substitution
- AHL 5.16 Integration by parts
- AHL 5.17 Area of the region enclosed by a curve and y axis
- AHL 5.17 Volumes of revolution about the xaxis or yaxis
- AHL 5.18 differential equations
- AHL 5.19 Maclaurin series
