Læreplan i matematikk for samfunnsfag - programfag i utdanningsprogram for studiespesialisering (MAT4-01)
Utgått
Denne læreplanen har utgått.
Mathematics S2
Algebra
- find patterns in numerical series and use them to sum finite arithmetical and geometrical series and other series, with and without digital means
- determine whether an infinite geometric series is convergent and calculate the sum of the series
- use series to solve practical problems related to savings, loans and hire-purchase
- factorize polynomials using zero points and polynomial division, and use the result to solve equations with polynomial and rational functions
- model practical problems using systems of linear equations with several unknowns, and solve them with and without digital means
Functions
- derive polynomial functions, power functions, exponential functions and logarithmic functions, and sums, differences, products and quotients of these functions, and use the chain rule to derive combined functions
- elaborate on and discuss the path of functions and interpret the derivative in practical contexts by using first and second derivatives
- interpret the basic characteristics of a function using the graph
- solve economic optimization problems in connection with income, cost and demand functions, and calculate and use marginal costs and income in simple models
- model exponential and logistical growth rate by using exponential functions and logarithmic functions
- calculate the area under graphs by digital means and interpret this in practical situations
Probability and statistics
- give an account of the concepts distribution and stochastic variable for finite probability spaces, and find expectation, variance and standard deviation for a stochastic variable
- give an account of the significance of the normal distributions and calculate probabilities linked to these
- give an account of the central limit theorem and use it to calculate probabilities for sums of independent stochastic variables and binomial distributions
- carry out simple hypothesis testing using p-values and interpret results
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