Fabrice Cohen Private Science Tutoring · Geneva

Programme · Mathematics

Mathematics

Secondary School

Algebra

  • Operations on real and complex numbers
  • First and second degree equations and inequalities
  • Systems of linear equations
  • Polynomials and factorisation
  • Arithmetic and geometric sequences

Analysis

  • Functions: definitions, graphs, transformations
  • Limits and continuity
  • Differentiation: rules and geometric interpretation
  • Integration: antiderivatives, area calculations

Geometry

  • Plane geometry: triangles, circles, polygons
  • Trigonometry: functions, identities, equations
  • Analytic geometry: lines, circles, conics

Statistics & Probability

  • Descriptive statistics: means, medians, standard deviations
  • Probability: events and basic calculations

Bachelor

Advanced Algebra

  • Vector spaces, bases, dimensions
  • Matrices, determinants, linear systems
  • Eigenvalues and eigenvectors
  • Groups, rings, fields

Advanced Analysis

  • Numerical and functional series
  • Multivariable functions: partial derivatives, gradients
  • Multiple integrals
  • Ordinary and partial differential equations

Geometry & Topology

  • Differential geometry
  • General topology: compactness, connectedness

Probability & Statistics

  • Discrete and continuous distributions
  • Estimation, hypothesis testing
  • Regression, analysis of variance

Numerical Analysis

  • Numerical equation solving
  • Interpolation, function approximation
  • Methods for differential equations
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