Mathematics tutoring
From Sekundarschule algebra through Matura analysis to IB Higher Level. The subject where gaps compound fastest, and where they are most fixable.
SekundarschuleGymnasiumMaturaIB AA and AIFMSBMA-LevelFirst year university
What we actually cover
Mathematics, system by system
Open the one your school follows.
IB Diploma ProgrammeAnalysis and Approaches, and Applications and Interpretation — SL and HL+
Number and algebra
- Sequences and series
- Exponents and logarithms
- Binomial theorem
- Proof by induction (HL)
- Complex numbers (HL)
Functions
- Linear, quadratic and rational functions
- Transformations of graphs
- Exponential and logarithmic models
- Polynomial functions and the factor theorem
Geometry and trigonometry
- Right-angled and non-right-angled triangles
- Radian measure, the unit circle
- Trigonometric identities and equations
- Vectors, lines and planes (HL)
Statistics and probability
- Descriptive statistics and correlation
- Probability, conditional probability
- Binomial and normal distributions
- Hypothesis testing (AI)
Calculus
- Limits and differentiation from first principles
- Chain, product and quotient rules
- Optimisation and kinematics
- Integration, area and volume
- Differential equations and Maclaurin series (HL)
The Internal Assessment
- Choosing a question that can actually be answered
- Mathematical rigour and personal engagement
- Structure, notation and the criteria
Gymnasium and MaturaGrundlagenfach and Schwerpunktfach, through to the written and oral Matura+
Analysis
- Funktionen und Grenzwerte
- Differentialrechnung
- Kurvendiskussion und Extremalprobleme
- Integralrechnung
- Flächen- und Volumenberechnung
Algebra
- Gleichungen und Ungleichungen
- Gleichungssysteme
- Exponential- und Logarithmusfunktionen
- Folgen und Reihen
Geometry
- Trigonometrie
- Vektorgeometrie in Ebene und Raum
- Geraden und Ebenen
- Skalar- und Vektorprodukt
Stochastik
- Kombinatorik
- Wahrscheinlichkeitsrechnung
- Bedingte Wahrscheinlichkeit
- Verteilungen und beschreibende Statistik
Matura preparation
- Past paper technique under timed conditions
- The oral examination: explaining, not reciting
- Closing gaps from earlier years that the exam still tests
Topic areas follow the national framework for Maturitätsschulen. Emphasis and naming differ between cantons and between Grundlagenfach and Schwerpunktfach, so we work from your school's own syllabus.
Everything about Matura →FMS and FachmaturitätThrough the FMS years and the Fachmaturität+
Algebra and functions
- Terme, Gleichungen, Ungleichungen
- Lineare und quadratische Funktionen
- Exponential- und Logarithmusfunktionen
Geometry and trigonometry
- Planimetrie und Stereometrie
- Trigonometrie am Dreieck
- Koordinatengeometrie
Analysis
- Differentialrechnung
- Anwendungen der Ableitung
- Grundlagen der Integralrechnung
Data and chance
- Beschreibende Statistik
- Wahrscheinlichkeitsrechnung
- Auswertung für die Fachmaturitätsarbeit
BerufsmaturitätGrundlagenbereich and Schwerpunktbereich, BM1 and BM2+
Algebra
- Termumformungen
- Gleichungen und Gleichungssysteme
- Potenzen, Wurzeln, Logarithmen
Functions
- Lineare und quadratische Funktionen
- Exponentialfunktionen und Wachstum
- Trigonometrische Funktionen
Analysis
- Differentialrechnung
- Extremwertaufgaben
- Integralrechnung
Geometry and stochastics
- Vektorgeometrie
- Trigonometrie
- Wahrscheinlichkeit und Statistik
Built around a working week
- Evening slots
- Short, frequent sessions rather than long ones
- Catching up years of maths without stopping work
PasserelleThe full written examination, from wherever you are starting+
Algebra and functions
- Gleichungen und Ungleichungen
- Ganzrationale und gebrochenrationale Funktionen
- Exponential- und Logarithmusfunktionen
- Folgen und Reihen
Analysis
- Grenzwerte und Stetigkeit
- Differentialrechnung
- Kurvendiskussion
- Integralrechnung und Anwendungen
Geometry
- Trigonometrie
- Vektorgeometrie
- Geraden und Ebenen im Raum
Stochastik
- Kombinatorik
- Wahrscheinlichkeit
- Statistik
How the preparation runs
- A short window, so the plan is built backwards from the exam
- Weekly written practice under timed conditions
- Structured revision beats raw talent here, reliably
Gymnasium entrance preparationThe maths paper, and the exam technique that decides borderline results+
Arithmetic that has to be automatic
- Bruchrechnen
- Prozent- und Zinsrechnen
- Proportionalität und Dreisatz
- Mental arithmetic under time pressure
Algebra
- Terme und Variablen
- Gleichungen
- Textgleichungen
Geometry
- Flächen und Volumen
- Winkel und Dreiecke
- Massstab
Word problems
- Reading a question and extracting the maths
- Sachaufgaben in the style the paper uses
- Showing working that earns the marks
Exam technique
- Timing per question, and when to move on
- Checking work in the time left
- Managing nerves on the day
Not every canton selects on an examination, and where one exists its format is set locally. We work from your canton's own past papers.
Everything about Gymi entrance →IGCSE, A-Level and APIGCSE, AS and A-Level, Further Maths, and AP Calculus AB and BC+
IGCSE
- Number, ratio and proportion
- Algebra and graphs
- Geometry and mensuration
- Trigonometry
- Probability and statistics
A-Level Pure
- Proof
- Algebra, functions and coordinate geometry
- Sequences and series, binomial expansion
- Trigonometry and identities
- Differentiation and integration
- Numerical methods and vectors
A-Level Statistics and Mechanics
- Data presentation and interpretation
- Probability distributions, hypothesis testing
- Kinematics and forces
- Moments
Further Mathematics
- Complex numbers
- Matrices and linear transformations
- Further calculus and differential equations
- Polar coordinates and hyperbolic functions
AP Calculus AB and BC
- Limits and continuity
- Differentiation and its applications
- Integration and accumulation of change
- Differential equations
- Parametric, polar and vector functions (BC)
- Infinite sequences and series (BC)
International and bilingual schoolsMYP, the bilingual Matura track, and the run-up to IB or A-Level+
MYP mathematics
- Number and algebra
- Functions and relationships
- Geometry and trigonometry
- Statistics and probability
- Criterion-based assessment, and what the criteria actually reward
Bridging into the Diploma years
- Algebraic fluency the IB assumes you already have
- Choosing between AA and AI honestly
- Standard Level or Higher Level
Arriving mid-year
- Finding what a different system covered and yours did not
- Working in English while the class works in German, or the reverse
- Catching up without falling behind on the current unit
First year universityAnalysis and linear algebra, first year+
Analysis
- Sequences, series and convergence
- Limits, continuity, epsilon-delta
- Differentiation and Taylor series
- Riemann integration
- Writing a proof that holds up
Linear algebra
- Vector spaces and bases
- Linear maps and matrices
- Determinants
- Eigenvalues and diagonalisation
The step up from Matura or IB
- Why proof, not calculation, is suddenly the subject
- Reading a lecture script that assumes you keep up
- Serie sheets, and how to actually use them