Mathematics and statistics

Arithmetics and algebra, exponentiafunctions and logarithms, differentiation, integration and differential equations, multivariable functions, errors inn analytical analysis, probability calculations, stochastic variables, probability distributions, descriptive statistics, confidence intervals, hypothesis testing and linear regression.

Knowledge

The candidate:

• has knowledge on good techniques for algebraic manipulations
• has knowledge on mathematical logical thinking
• has knowledge on the use of mathematical calculations
• has knowledge on analytical errors in laboratory work
• has knowledge on the concepts of accuracy and precision
• has knowledge regarding probability calculations
• has knowledge on stochastic variables and probability distributions
• has knowledge regarding the term confidence interval
• has knowledge regarding the term hypothesis testing
• has knowledge regarding the term linear regression

Skills

The candidate:

• can perform calculations on and reshape mathematical expressions with symbols and numbers
• can present experimental data graphically and using key numbers
• can treat linear functions, power functions, exponential functions and logarithmic functions, and differentiate such functions
• can calculate integrals and solve simple differential equations
• can perform basic probability calculations
• can choose probability models and perform calculations on these
• can calculate confidence intervals for expectation
• can perform hypothesis tests regarding expectation
• can calculate the linear regression line and coefficient of correlation

General competency

The candidate:

• can use mathematics, statistics and probability calculations to understand calculations on measurement results and present these to others
• has an understanding of mathematics, statistics and probability as basis for further studies

Lectures and excercises including excercises using Excel spreadsheet.