Mathematical fundamentals for ecology and evolutionary biology, WS 2021/2022

Instructors: Dr. Noémie Becker, Prof. Dr. Dirk Metzler

Organisation

The course is divided into 5 lectures. There is one or several videos for each lecture as well as a handout and an exercise sheet.
During each one of our zoom sessions we will answer questions to the videos and discuss solutions of the exercise sheets.
Here is the program:
Monday, October 4, 2:30 pm : Course organisation and presentation of the Metzler and Becker groups
Tuesday, October 5, 11 am, with Dirk: Questions about the introduction lecture and about the first two videos on discrete-time modelling
Wednesday, October 6, 11 am, with Noémie : Questions about the last video on discrete-time modeling and the first two on continuous processes + solutions of exercise sheet 1
Thursday, October 7, 11 am, with Noémie : Questions about the last video on continuous precesses and the first video on multidimensional processes + solutions of exercise sheet 2
Friday, October 8, 11 am, with Dirk : Questions about the multidimensional processes lecture and the first video on statistics + solutions of exercise sheet 3
Monday, October 11, 11 am, with Dirk : Questions about the statistics lecture + solutions of exercise sheet 4
Thursday, October 14th, 11 am, with Noémie: Solutions of Exercise sheet 5

Please watch the lecture videos before the respective Questions sessions.
Please try to solve the exercises before the discussion of the solutions.

Introduction

video (duration [min:sec]: 23:16)
handout
Exercise sheet 1

Discrete-time modelling

video 1 (15:52)
video 2 (24:19)
video 3 (16:53)
handout
Exercise sheet 2

Continuous processes

video 1 (21:27)
video 2 (33:42)
video 3 (31:09)
handout
Exercise sheet 3

Multidimensional processes

video 1 (36:02)
video 2 (27:43)
video 3 (56:30)
handout, R script
Exercise sheet 4

Overview of common statistical tests

video 1: basic notations and the binomial distribution (42:01)
video 2: the normal distribution (19:14)
video 3: the principle of statistical testing (35:10)
video 4: some classical statistical tests (37:57)
handout
Exercise sheet 5

web page last updated: Dirk Metzler, Oct 6, 2021