Business Preparatory Programme -- Mathematics
Proposed content and its ordering of the course:
- Number fields: natural numbers, integers, rational numbers, real numbers. Work with fractions.
- Algebraic expressions: powers, roots and their manipulations.
- Logarithms, exponentials. absolute value. Domain of definition.
- Linear and quadratic functions; Equations, equations with parameter. Inequalities: linear, quadratic, with power or square root, with absolute values. Inequalities in product form.
- Goniometric functions. Equations, inequalities.
- Sequences and series: arithmetic sequence, geometric sequence, sum of a geometric series, sum of the first n terms of an arithmetic or geometric series.
- Combinatorics: permutations, combinations and combinations with repetition, binomial theorem in problem solving,
- Probability, statistics: probability of random phenomena, independence of phenomena, conditional probability.
- Complex numbers, notation in another number system.
- Systems of equations and inequalities. Equations: with percentages, with square roots, goniometric, with absolute values. Linear and quadratic.
- Analytic geometry: point and vector coordinates, line in plane (general equation, parametric form), angle and scalar product, vector product, planes and half-planes, conics.
- Statement logic: conjunction, disjunction, implication, equivalence, negation.
Recommended literature
- keyword to search PRECALCULUS:
- I recommend you also other sources like https://www.khanacademy.org, etc, (or AI is strong..)
- I like this czech collection of problems: Jindra Petakova : Matematika - Priprava k maturite a k prijimacim zkouskam na VS
Prezentations of covered topics