|
|
|
| View a printable version of the current page. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Mathematical methods in biology, fall 2007 to spring 2008LecturerScopeEach part of the course gives separate credits (3 sp per part). TypeAdvanced studies. Time and place (spring 2008):Part 3: weeks 3 - 9 ( = first study period of the spring semester) Lectures: Tuesday 12:15 - 13:45 Exercises: Thursday 12:15 - 13:45 Don't be misled by the unusual location: this course is intended for biology/medical students. The best place would be Biokeskus 3, but it turned out that the nearest rooms in Viikki with real blackboards are in Kehitystalo! Contents:This course gives 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 full course consists of four parts (each can be taken separately): Parts 1 & 2 are given in the fall semester of 2007, parts 3 & 4 in spring 2008. 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. Both undergraduates and graduate students are welcome. Prior registration is not necessary. ExamsProblem-solving (in writing), the problems are similar to homework exercises. Everything may be used (books, notes, dictionary) 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. BibliographyThere is no single textbook the course would follow closely. The books listed below are useful reference books also for later use, but you need not possess them to participate in this course successfully. L. Edelstein-Keshet (1988) Mathematical models in biology. McGraw-Hill Education, ISBN 0075549506. FeedbackYou are very welcome to give feedback in person or via email. You can give feedback also anonymously via a departmental webform any time during the course. At the end of the semester, PLEASE fill in the anonymous standard course questionnary. THANKS! Part 1Exercises and projectsThe solutions of projects will be read and commented by a fellow student in the exercise classes. Hence, please write down the logic, methods and results in such a way that others can understand it. For the exercises, it is enough if you can present the solution on the blackboard.
Handouts
Figures
Part 2Exercises and projectsThe solutions of projects will be read and commented by a fellow student in the exercise classes. Hence, please write down the logic, methods and results in such a way that others can understand it. For the exercises, it is enough if you can present the solution on the blackboard.
HandoutsNote #5: Geometric series: How to compute the sum of infinitely many terms FiguresMembrane channels: dwell times Part 3Exercises and projectsThe solutions of projects will be read and commented by a fellow student in the exercise classes. Hence, please write down the logic, methods and results in such a way that others can understand it. For the exercises, it is enough if you can present the solution on the blackboard.
HandoutsNote #7: Lagrange multiplier method Part 4Exercises and projectsThe solutions of projects will be read and commented by a fellow student in the exercise classes. Hence, please write down the logic, methods and results in such a way that others can understand it. For the exercises, it is enough if you can present the solution on the blackboard. Remember that analytical solutions are not always available: Use numerical methods when necessary. Excel is sufficient.
HandoutsNote #8: Linear stability analysis in two dimensions Quadratic map |