Kaisa_2012_3_photo by Veikko Somerpuro

A practical introduction to mathematical concepts and methods applied in the life sciences.

We learn mathematics through solving problems of biological interest, with emphasis on applicable skills and hands-on experience.

The full course consists of four parts (each can be taken separately):

(1) Fundamentals (construction of simple models and basic calculus)
(2) Probability (handling stochastic phenomena, groundwork for statistics)
(3) Vectors and matrices (applied to population dynamics, quantitative genetics and statistics)
(4) Dynamic models (techniques to analyse models of population growth, reaction kinetics, etc.)

Parts 1 & 2 are given in the fall semester, parts 3 & 4 in spring. Each part takes one study period (seven weeks), 2 h interactive lectures and 2 h exercises per week.

The course is specifically tailored for biology students and assumes no background in mathematics. All you need is to use Excel or any other software capable of simple calculations and plotting. Both undergraduates and graduate students are welcome.

Ilmoittaudu
8.12.2017 klo 00:01 - 15.1.2018 klo 23:59

Aikataulu

Tästä osiosta löydät kurssin opetusaikataulun. Tarkista mahdolliset muut aikataulut kuvauksesta.

PäivämääräAikaOpetuspaikka
Ma 15.1.2018
10:15 - 11:45
Pe 19.1.2018
10:15 - 11:45
Ma 22.1.2018
10:15 - 11:45
Pe 26.1.2018
10:15 - 11:45
Ma 29.1.2018
10:15 - 11:45
Pe 2.2.2018
10:15 - 11:45
Ma 5.2.2018
10:15 - 11:45
Pe 9.2.2018
10:15 - 11:45
Ma 12.2.2018
10:15 - 11:45
Pe 16.2.2018
10:15 - 11:45
Ma 19.2.2018
10:15 - 11:45
Pe 23.2.2018
10:15 - 11:45
Ma 26.2.2018
10:15 - 11:45
Pe 2.3.2018
10:15 - 11:45

Materiaalit

Weekly homework assignments from the file "homework problems and solutions"

Set 1: 1, 2, 3, 8, 10 discussed on 26 January
Set 2: 4, 5, 9, 13, 14 discussed on 2 February
Set 3: 6, 11, 12, 15 discussed on 9 February. (Hint to #15: when a math text says "show that A equals B", it expects you to calculate A in your own way and see that you get B.)
Set 4: 7, 18, 19, 21, 23 discussed on 16 February (the hint in #19 may be unhelpful, ignore)
Set 5: 24, 25, 26, 28 + we are going to discuss 19 on 26 February
IMPORTANT: Fri 23 Feb cancelled, Mon 26 Feb exercise class, Fri 2 March lecture in BK2, room 1015

Kurssin suorittaminen

Homework exercises: see the weekly assignments under Material.

Exam: problem-solving (in writing), the problems are similar to the homework exercises. Everything may be used (books, notes, etc) but may not be shared during the exam. There is no need for laptops; nevertheless laptops can be used if so desired, but the internet connection must be switched off (download necessary files in advance). Exercise class activity decides marginal grades. This part of the course gives 3 credits (3 op)

First exam: Friday 16 March 10.15-12.00 in BK1, 3108 (replaces the exercise class of Part 4)
If this time is not good for you, please email me (eva.kisdi@helsinki.fi) and we organize more exam time(s)

Kuvaus

Mathematical methods in biology Part 1 or equivalent knowledge

Using vectors and matrices in models with several variables

Period III of the academic year 2017-2018. If attendance is satisfactory, offered in period III every other year (2019-2020 etc)

A highly practical introduction to mathematical concepts and methods applied in the life sciences. We learn mathematics through solving problems of biological interest, with emphasis on applicable skills and hands-on experience. The course is specifically tailored for biology students, Parts 3-4 for those interested in theory and modelling. Part 3 focuses on vectors and matrices, which provide indispensable tools for models that describe interactions between several components, such as interactions between species (see also Part 4). Applications in this part concern mostly population dynamics, with additional examples from quantitative genetics and/or statistics.

Contact teaching; exercise classes; completion by written exam

Lecture notes (provided during the course)

0-5, exam only

Teaching in English

Eva Kisdi

Replaces the former course 57383 Mathematical methods in biology, part 3, 3 cr.