Mathematics for the social sciences - programme subject in programmes for Specialization in General Studies (MAT4-01)

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Main subject areas

Algebra

Mathematics S1

The main subject area deals with the fundamental language of symbols in mathematics. It involves working with letters and symbols, and transformation of and use of formulae. Core concepts in the subject area are linear, quadratic and rational expressions, logarithmic expressions, exponential expressions and exponential growth.

Mathematics S2

The main subject area deals with the use and manipulation of polynomials and rational expressions, and analysis and calculation of finite sums and infinite series. Core concepts in the main programme area are polynomials and polynomial division, linear equations, series and convergence.

Functions

Mathematics S1

The main subject area involves analyzing the dependence between two quantities. It also involves relations between quantities from algebra and practical areas, which are analyzed by the use of functions and their graphs. The main subject area covers empirical functions, polynomial functions, power functions, rational functions, logarithmic functions and exponential functions. In addition, it deals with regression, average and momentary growth rate, and the derivative and graph of a function.

Mathematics S2

The main subject area deals with general derivation rules. Moreover, it revolves around the use of these rules to elaborate on and discuss and calculate with functions composed of polynomials, power functions, rational functions, logarithmic function and exponential functions. It also includes use of functions for modelling, both in economics and for different growth phenomena.

Probability

The main subject area deals with calculus of probability theory as a basis for statistical methods, which are used to obtain information about a population on the basis of a random selection. The main subject area also covers independence and conditioned probability, random and non-random selection and binomial and hypergeometric probability models.

Linear optimization

The main subject area deals with linear optimization as a useful tool in economics. It also involves the use of linear optimization to find the best possible solutions to practical problems that are naturally modelled by linear equations and incongruence.

Probability and statistics

The main subject area deals with the use of probability theory to describe and analyze random variations and systematic trends in a number of practical situations. Fundamental concepts in this main subject area are stochastic variables, expectation, variance and standard deviation, normal distribution, the central limit theorem and hypothesis testing.

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