3515.16 - Mathematics and Statistics for Biologists
Mathematics and Statistics for Biologists
Mathematical models in biology – an introduction. E.S. Allman & J.A. Rhopes, 2004. Upper Secondary School with B-level in mathematics.
To give the students basic knowledge to mathematics and statistics and their use in biology.
Difference equations. Logistic growth and other growth rates. Matrices. Inverse matrix, eigenvalue and eigenvectors. Models for age groups and species, predator and prey, competition, symbiosis. Prediction of polulations with matrices and eigenvectors. Equilibria, oscillations and stability. Basic statistics. Population, sampling, data management and presentation. Measures of central tendency and dispersion. Basic probability concepts and distributions. Normal, binomial, and poisson distributions. Estimation and confidence interval. Hypothesis testing. Analysis of frequencies. Correlation and simple regression analysis. Comparisons of means. Exercises and projects from biology.
Learning and teaching approaches
Lectures and problem solving.
As a result of this course, the student will be able to - demonstrate basic knowledge regarding population mathematics and difference equations, matrices and eigenvalues, population and sampling statistics, probability and probability distributions, estimation and hypothesis testing. - point out simple mathematical and statistical models in biology and explain variables and parameters in the models. - make calculations in the models and interpret the results within a biological context.
A 4 hour written examination counting 75% of the grade. All auxiliary material allowed excluding computer. Six compulsory homeworks, of which four to be approved, and the last two count 25% of the grade.
Discovering Statistics Using R. Andy Field et all, 2012