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
29.1.2017 klo 00:01 - 12.3.2018 klo 23:59

Viestit

Käyttäjän Eva Kisdi kuva

Eva Kisdi

Julkaistu, 27.3.2018 klo 7:59

The classes of 6 and 9 April are cancelled, we continue with the exercise class of Fri 13 April. Review differentiation from Part 1 and the eigenvalue from Part 3.

Aikataulu

The classes of 6 and 9 April are cancelled, we continue with the exercise class of Fri 13 April. Review differentiation from Part 1 and the eigenvalue from Part 3.

PäivämääräAikaOpetuspaikka
Ma 12.3.2018
10:15 - 11:45
Pe 16.3.2018
10:15 - 11:45
Ma 19.3.2018
10:15 - 11:45
Pe 23.3.2018
10:15 - 11:45
Ma 26.3.2018
10:15 - 11:45
Pe 6.4.2018
10:15 - 11:45
Ma 9.4.2018
10:15 - 11:45
Pe 13.4.2018
10:15 - 11:45
Ma 16.4.2018
10:15 - 11:45
Pe 20.4.2018
10:15 - 11:45
Ma 23.4.2018
10:15 - 11:45
Pe 27.4.2018
10:15 - 11:45
Ma 30.4.2018
10:15 - 11:45
Pe 4.5.2018
10:15 - 11:45
To 17.5.2018
10:00 - 12:00

Materiaalit

The homework exercises are in the lecture notes. The weekly assignments are listed below. The solutions are in the separate file "Solutions"; this file will be updated regularly.

Set #1: 2, 3, 5, 8, 9 discussed on 23 March
Set #2: 24, 25, 36, 37 discussed on 13 April. In 24 and 25, judge stability only from the phase plane analysis (drawing the isoclines etc); in 36 and 37, use the Jacobian.
Set # 3: 40, 41, 42, 44 discussed on 20 April.
Set # 4: the exercises in the file "Additional exercises" (solutions in the same file), discussed on 27 April.
Set # 5: 23, 46, 59, 66+67, 79, discussed on 4 May

LINK TO PPLANE: http://math.rice.edu/~dfield/dfpp.html. (First you have to install Java if you don't have it already; there is a link from this webpage also to download Java. I trust this site but for legal purposes, I must say you download at your own risk.)

Tehtävät

Homework exercises: see under "Materials"

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)

Time and place of the exam: 17 May (Thu) 10.15-12.00 in the lecture room (Biocenter 1, 3108). If this time does not suit you, please contact me (eva.kisdi@helsinki.fi).

Kuvaus

Mathematical methods in biology Part 1 and 3 or equivalent knowledge

Construction and analysis of models in the form of systems of differential equations, elements of bifurcation analysis

Period IV of the academic year 2017-2018. If attendance is satisfactory, offered in period IV 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 4 focuses on systems of differential equations, the most common type of models, through examples of ecological interactions and the dynamics of infectious diseases.

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 57384 Mathematical methods in biology, part 4, 3 cr.