# MM555: Mathematics for Molecular Bioscience, Biomedicine and Chemistry

## Entry requirements

The course cannot be chosen by students, who have passed FF502, FF506, MM536.

However, this course can only be taken if it:

- is a constituent part of your programme
- is a specified recommendation for elective ECTS in your programme
- is part of a specified transitional arrangement ('overgangsordning') for a course you have not yet passed

## Academic preconditions

Students taking the course are expected to:

- Have knowledge of mathematics corresponding to the A-level in the Danish high school system.
- Be able to use the techniques covered in the high school A-level curriculum.

## Course introduction

These tools will give the student the necessary skills to:

- Argue in a logical and rigorous manner.
- Understand how physical, chemical and biological phenomena can be described using mathematics.
- Construct mathematical models describing phenomena occurring in the natural sciences.

- Give the competence to understand and construct mathematical models.
- Give the competence to argue rigorously.
- Give skills to argue in a general scientific context.
- Give skills to work independently with mathematics.
- Give knowledge and understanding of basic calculus.
- Give knowledge and understanding of the interplay between mathematics and the natural sciences.

## Expected learning outcome

The learning objectives of the course are that the student demonstrates the ability to:

- Argue in a logical and rigorous manner.
- Understand and work with the mathematical theories introduced in the course.
- Construct simple mathematical models describing phenomena occurring in the natural sciences.

## Content

The following main topics are contained in the course:

- Basic function theory
- Limits
- Taylor polynomials
- Complex numbers and polar coordinates
- Differentiation and integration of functions in one variable
- Extreme values of functions
- Differential equations of first and second order
- Functions in several variables and partial derivatives

## Literature

## Examination regulations

## Exam element a)

## Timing

## Tests

## Mandatory assignments

## EKA

## Assessment

## Grading

## Identification

## Language

## Examination aids

To be announced during the course

## ECTS value

## Exam element b)

## Timing

## Tests

## Written exam

## EKA

## Assessment

## Grading

## Identification

## Language

## Duration

## Examination aids

All common aids are allowed e.g. books, notes, computer programmes which do not use internet etc.

Internet is not allowed during the exam. However, you may visit system DE-Digital Exam when answering the multiple-choice questions. If you wish to use course materials from itslearning, you must download the materials to your computer the day before the exam. During the exam itslearning is not allowed.

## ECTS value

## Indicative number of lessons

## Teaching Method

In order to enable students to achieve the learning objectives for the course, the teaching is organised in such a way that there are 58 lectures, class lessons, etc. on a semester.

These teaching activities are reflected in an estimated allocation of the workload of an average student as follows:

- Intro phase (lectures, class lessons) - 26 hours
- Training phase: 28 hours
- Study phase: 14 hours

During the study phase students are expected to:

- Work with the new concepts and terms introduced.
- Increase their understanding of the topics covered during the lectures.
- Solve relevant exercises.