Estonian Upper-Secondary Narrow Mathematics Exam study guide
Estonian Upper-Secondary Narrow Mathematics Exam · Work through your exam, one topic at a time.
This independent study page provides practice for Estonian Upper-Secondary Narrow Mathematics Exam. Its editorial learning areas include Geometry; Algebra Functions; Calculus; Vectors; Sequences Series; Probability Statistics. The Estonian Upper-Secondary Narrow Mathematics Exam study guide has 6 sections and about 2,487 words.
01Geometry 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 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 min03Calculus
Calculus practice develops the ability to move fluently between a function, its rate of change, and its accumulated total. Expect differentiation of composite, implicit and parametric forms, evaluation of definite and improper integrals, and questions that require you to justify a limit before differentiating.
348 words, about 2 min04Linear 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 min05Sequences 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 min06Statistics and Probability
This statistics and probability chapter explores how data are collected, summarized, and interpreted, and how probability models uncertainty. Expect measures of centre and spread, graphical displays, normal distributions and z-scores, counting-based probability, conditional probability, and critical evaluation of study design and correlation versus causation.
397 words, about 2 min