# Introduction to mathematical biology, fall 2016

**Teacher:** Eva Kisdi

**Scope:** 10 cr

**Type:** Advanced studies

This course is intended as a first introduction to mathematical biology. Subject areas include the dynamics of populations and of interacting species, ecosystem modelling, the dynamics of infectious diseases, natural selection and evolution. The participants will get acquainted with constructing and analysing mathematical models, mostly in form of continuous- and discrete-time dynamical systems. Mathematical biology is an active field of applied mathematics also at our Department, and interested students can continue with a number of advanced courses as well as start active research on undergraduate (BSc, MSc) and graduate level.

**Prerequisites: **Differential equations, elements of matrix algebra

## News

- The course starts only on week 37 (one week after the start of the semester). The first Monday, 12 September, we have the regular lecture 10-12 and a second lecture instead of the exercise class 14-16.
- No lecture on 31 October, but the exercise class is on. Two lectures on 7 November, the second replacing the exercise class in C129.

## Teaching schedule

Weeks 37-42 and 44-50, Monday and Friday 10-12 in room B322. Two hours of exercise classes per week.

## Exams

19 December 2016 (Monday), 10.15 - 13.00, B121

16 January 2017 (Monday), 10.15 - 13.00, B322

Lecture notes, books, etc. may be used freely during the exam, only may not be shared. Computers are not necessary but may be used with the internet turned off (download files in advance).

## Course material

The quadratic map: Excel file

Limiting similarity: pdf

## Registration

Did you forget to register? What to do?

## Exercises

### Assignments

- Exercises 1.1-1.5, Solutions
- Exercises 2.1-2.5, Solutions
- Exercises 3.1-3.5, Solutions
- Exercises 4.1-4.4, Solutions
- Exercises 5.1-5.5, Solutions
- Exercises 6.1-6.5, Solutions
- Exercises 7.1-7.5, Solutions
- Exercises 8.1-8.4, Solutions
- Exercises 9.1-9.5, Solutions
- Exercises 10.1-10.5, Solutions
- Exercises 11.1-11.5, Solutions

### Exercise classes

Group | Day | Time | Room | Instructor |
---|---|---|---|---|

1. | Monday | 14-16 | C129 | Francesca Scarabel |

2. | Monday | 14-16 | B321 | Eva Kisdi |

## Course feedback

Course feedback can be given at any point during the course. Click here.