Introduction to Mathematical Modelling, LaTeX and Mathematica

COURSE OBJECTIVE
After this course the student...

1. ... can formulate a mathematical model (differential equation) to describe a simple practical situation;
2. ... is able to analyse the model using exact solution methods, or using the computer;
3. ... can interpret the outcome of the mathematical analysis in the original practical context, while being aware of the limitations of the model;
4. ... is able to present the model, analysis and results clearly and understandably to fellow students in writing;
5. ... can produce his/her own LaTeX document and perform simple operations and computations in Mathematica.

COURSE CONTENT
This is a course about mathematical modelling: translating real life problems into mathematical language, analysing the resulting equations, and drawing conclusions. You will work in small groups on two assignments, and will report on these assignments in writing. You will also learn to use the mathematical typesetting software LaTeX, and to work with the mathematical software package Mathematica.

TEACHING METHODS
Exercise classes and computer classes. Contact hours per week: 8.

TYPE OF ASSESSMENT
Written reports after weeks 1,2 and 4, and counting, respectively, for 15%, 35% and 50% towards the final grade. When initially graded insufficient, each report may be handed in a second time, but only once and within two weeks from the first attempt. Other than this, there is no resit exam.

COURSE READING
Texts and assignments will be made available through Canvas.

ENTRY REQUIREMENTS
Single Variable Calculus.

TARGET AUDIENCE
BSc Mathematics Year 1

REMARKS
It is essential that all students are present at the first lecture.