Offer
Mathematics
I invite you to the training of individual and small groups. The main subject is math tutoring in the range from elementary school through junior high school, secondary schools (high, technical) to the studies. Nevertheless, I also offer lessons of the question with other science subjects, such as statistics, econometrics, physics, computer science, etc.
Also preparing effectively in a short time the following events:
- junior high school exam,
- secondary-school certificate,
- exam for university,
- colloquium,
- exam session.
I teach both at home and in the client's home (Rybnik and around).
Below I've included a program of mathematics, which applies a given level of education.
Elementary school, Junior high school
- Harvest figures.
- Divisibility of numbers.
- Absolute value numbers.
- Field and the length of the circle.
- Percentages.
- Power, elements.
- Pythagorean theorem.
- Algebraic expressions.
- Equations and inequalities.
- Systems of equations.
- Features.
- Trigonometry.
- Geometry.
- Binary system.
- Arithmetic expressions.
- Probability.
Secondary school
- Sets, real numbers, algebraic expressions.
- Functions and their properties.
- Systems of linear equations.
- Trigonometric functions.
- Geometric figures and their properties.
- Quadratic function.
- Polynomial function.
- Rational function.
- Elements of analytic geometry.
- Arithmetic sequences and geometric elements of combinatorics.
- Within the boundaries.
- Geometry.
- Limit, continuity, derivative of the function.
- Functions of power series, exponential and logarithmic.
- Elements of the geometry of space.
- Probability.
Studies - mathematical analysis
- Real and complex numbers.
- Sequences and series of real and complex numbers.
- Functions of one variable.
- Derivative of the function.
- Integration.
- Functional sequences and series.
- Function of many variables.
Studies - algebra
- Matrices and vectors. Linear space, its size and base. Subspaces and layers.
- Systems of linear equations, Kronecker-Capelli theorem. Method of elimination.
- Linear transformations, matrix transformation. Determinant.
- Bilinear and quadratic forms. Matrix form.
- Orthogonal base. Orthogonalization.
- Groups and their properties. Quotient group. Construction Zn. Lagrange's theorem. Fermat's little theorem.
- Orbits and stabilizers.
- Rings and body: definitions and basic examples.
Studies - discrete mathematics
- Elements of algebra and number theory.
- Combinatorics.
- Graph theory and ordered sets.
- Elements of probability theory.
Studies - numerical analysis
- Analysis of errors.
- Solving systems of linear equations.
- Interpolation.
- Approximation.
- Quadrature.
- Solving nonlinear equations.
Studies - logic
- Basic concepts and set-theoretical operations on sets: the sum, intersection, Cartesian product, a set of power series, relations, functions, equivalence relations, equivalence classes, set Quotient.
- Harvesting capacity. Finite and infinite sets. Countable sets. Cantor and the power of the continuum.
- Partial orders, elements of the minimum and the smallest confines. Linear orders. Examples. Fixed point theorem. Good cleaning.
- The syntax and semantics of propositional calculus and calculus. The concept of satisfaction and accuracy of the formulas. The consistency of a set of formulas. Information about the compactness theorem.
- Unification of terms. Information on the method of resolution.
- Proving theorems. Information about gentzenowskich and hilbertowskich command systems. Information about the completeness theorem.