MM555: Mathematics for Molecular Bioscience, Biomedicine and Chemistry

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

However, this course can only be taken if it:

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

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.

These tools will give the student the necessary skills to:

1. Argue in a logical and rigorous manner.
2. Understand how physical, chemical and biological phenomena can be described using mathematics.
3. 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.

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.

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

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.