Přijímačky VŠE Matematika study guide
Přijímačky VŠE Matematika · Work through your exam, one topic at a time.
This independent study page provides practice for Přijímačky VŠE Matematika. Its editorial learning areas include Modeling; Algebra Functions; Sequences Series; Geometry; Complex; Vectors; Discrete. The Přijímačky VŠE Matematika study guide has 7 sections and about 3,014 words.
01Mathematical Modeling and Problem Solving
Mathematical Modeling and Problem Solving asks you to translate a real or described situation into mathematics, choose an appropriate model, solve it, and interpret the result in context with correct units. Expect linear, quadratic, exponential, and trigonometric models, optimization under constraints, rates, and multi-step problems where the setup is the hard part.
462 words, about 2 min02Algebra and Functions
Algebra and function practice asks you to move fluently between symbolic, graphical, and verbal representations of relationships. Expect manipulation of polynomial, rational, radical, exponential, and logarithmic expressions; solving equations and inequalities; and reasoning about domain, range, inverse functions, and transformations.
462 words, about 2 min03Sequences and series
Sequences and series examines arithmetic and geometric progressions, sigma notation, sums to infinity and the binomial expansion. You should be able to derive and apply the standard formulae, decide when an infinite sum converges, and extract a specified coefficient from a binomial expansion without expanding everything.
390 words, about 2 min04Geometry and Trigonometry
This geometry and trigonometry chapter covers triangle congruence and similarity, circle properties, coordinate geometry, area and volume, and the trigonometric ratios extended to the unit circle. You should be able to prove relationships, apply the sine and cosine laws to non-right triangles, work in radians, and connect trigonometric functions to their graphs and identities.
425 words, about 2 min05Complex numbers
Complex numbers tests arithmetic in the form a + bi, conjugates, modulus and argument, the Argand diagram, modulus–argument form, and the roots of polynomial equations with real coefficients. De Moivre's theorem and geometric interpretations appear in the more demanding questions.
364 words, about 2 min06Linear Algebra and Vector Geometry
Linear algebra and vector geometry practice is about structure: whether a system has solutions, what a matrix does to space, and how lines, planes and vectors sit relative to one another in three dimensions. Reduce the augmented matrix to row echelon form; count pivots in the coefficient block (rank A) and in the augmented block (rank [A b]).
465 words, about 2 min07Discrete Mathematics and Mathematical Reasoning
This domain tests formal reasoning and finite structures: logic and truth values, proof technique, sets, counting, relations, and basic graph and recurrence ideas. Questions reward precision - a correct conclusion with an invalid justification loses marks.
446 words, about 2 min