Syllabus of tutorial
1st Functions: properties, domain, linear, quadratic, cubic, irrational and rational functions.
2nd Exponential and logarithmic functions. Evaluation of logarithms. Exponential equations and inequalities.
3rd Goniometric functions, their graphs and values. Trigonometric equations and inequalities.
4th Mathematical logic: constants, variables, statements and operations.
5th Set theory: types of sets, operations with sets, sets of numbers, intervals.
6th Algebraic expressions: polynomials, fractions, powers, roots.
7th Equations: linear, linear with parameters, quadratic, irrational, systems of two linear equations.
8th Inequalities: linear, quadratic, systems.
9th Absolutní value: geometric interpretation, equations and inequalities.
10th Basics of analytical geometry: vectors, lines, circle, determination of the center and radius.
11th Elipsis, hyperbole, parabole: determination of parameters.
12th Sequences and series.
13th Tests and credits.
1st Functions: properties, domain, linear, quadratic, cubic, irrational and rational functions.
2nd Exponential and logarithmic functions. Evaluation of logarithms. Exponential equations and inequalities.
3rd Goniometric functions, their graphs and values. Trigonometric equations and inequalities.
4th Mathematical logic: constants, variables, statements and operations.
5th Set theory: types of sets, operations with sets, sets of numbers, intervals.
6th Algebraic expressions: polynomials, fractions, powers, roots.
7th Equations: linear, linear with parameters, quadratic, irrational, systems of two linear equations.
8th Inequalities: linear, quadratic, systems.
9th Absolutní value: geometric interpretation, equations and inequalities.
10th Basics of analytical geometry: vectors, lines, circle, determination of the center and radius.
11th Elipsis, hyperbole, parabole: determination of parameters.
12th Sequences and series.
13th Tests and credits.