IB Maths: Analysis and Approaches SL Revision notes
Clear notes for every subtopic, with key terms and exam tips.
Number and algebra9 subtopics
- 1.1 Scientific notation
- 1.2 Arithmetic sequences and series
- 1.3 Geometric sequences and series
- 1.4 Financial applications of geometric sequences
- 1.5 Laws of exponents and introduction to logarithms
- 1.6 Simple deductive proof
- 1.7 Rational exponents, laws of logarithms and exponential equations
- 1.8 Infinite geometric series
- 1.9 The binomial theorem
Functions11 subtopics
- 2.1 Equations of straight lines
- 2.2 Functions, domain, range and inverse
- 2.3 The graph of a function
- 2.4 Key features of graphs
- 2.5 Composite and inverse functions
- 2.6 The quadratic function
- 2.7 Quadratic equations, inequalities and the discriminant
- 2.8 Reciprocal and simple rational functions
- 2.9 Exponential and logarithmic functions
- 2.10 Solving equations graphically and analytically
- 2.11 Transformations of graphs
Geometry and trigonometry8 subtopics
Statistics and probability12 subtopics
- 4.1 Populations, samples and data collection
- 4.2 Presentation of data
- 4.3 Measures of central tendency and dispersion
- 4.4 Correlation and regression of y on x
- 4.5 Basic probability
- 4.6 Combined, conditional and independent events
- 4.7 Discrete random variables
- 4.8 The binomial distribution
- 4.9 The normal distribution
- 4.10 Regression line of x on y
- 4.11 Formal conditional probability and independence
- 4.12 Standardisation and inverse normal with unknown parameters
Calculus11 subtopics
- 5.1 Limits and the derivative
- 5.2 Increasing and decreasing functions
- 5.3 Differentiating polynomials
- 5.4 Tangents and normals
- 5.5 Introduction to integration
- 5.6 Further differentiation rules
- 5.7 The second derivative
- 5.8 Stationary points, optimisation and inflexion
- 5.9 Kinematics
- 5.10 Indefinite integrals and substitution
- 5.11 Definite integrals and areas