Notes · Scientific secondary school · KaTeX · TikZ · Chart.js
All of mathematics,
atomised into linked notes.
atomised into linked notes.
The entire five-year syllabus, broken down into atoms: each note is a single concept, linked to the others. Definitions, theorems, worked examples, figures and charts, all navigable.
6
Thematic areas
47
Chapters
5
Years of study
❧
Explore by area
6 pathways
0112 chaptersArithmetic and Algebra
→Numbers, literal calculus, equations, inequalities, radicals.
025 chaptersGeometry
→Euclidean, Pythagoras, similarity, the circle, solids in space.
038 chaptersAnalytic geometry
→The line, parabola, circle, ellipse, hyperbola, conics in space.
0410 chaptersFunctions and trigonometry
→Functions, exponentials, logarithms, trigonometry, complex numbers.
058 chaptersAnalysis
→Sequences, limits, derivatives, integrals, differential equations.
064 chaptersProbability and Combinatorics
→Sets, combinatorics, probability, distributions.
Complete index
Choose a chapter01
01Numbers and fundamental operations
02Literal calculus
03Algebraic fractions
04Percentages
05First-degree equations
06Systems of linear equations
09Working method
10Second-degree and fractional equations
11Inequalities
13Radicals and irrational equations
17Irrational inequalities
27Unifying methods
Arithmetic and Algebra
02
08Foundations of Euclidean geometry
14Equivalence and Pythagoras' theorem
15Similarity
16The circle
38Synthetic geometry in space
Geometry
03
12The parabola
18Pencils of lines
19Loci in the Cartesian plane
20The circle in the Cartesian plane
21Ellipse
22Hyperbola and homographic function
24Transformations in the Cartesian plane
37Analytic geometry in space
Analytic geometry
04
23Functions: language and properties
25Exponential function
26Logarithmic function
28The trigonometric circle
29Addition and double-angle formulae
30Prosthaphaeresis and Werner
31Trigonometric equations
32Trigonometric inequalities
33Trigonometry of triangles
36Complex numbers
Functions and trigonometry
05
39Numerical sequences
40Limits of functions
41Continuity and discontinuity
42Derivatives
43Curve sketching
44Integral
45Theorems of calculus
46Differential equations
Analysis
06
07Set theory
34Combinatorics
35Advanced probability
47Probability distributions
Probability and Combinatorics