BMB539: Applications of mathematics in life sciences (5 ECTS)

STADS: 01015301

Level
Bachelor course

Teaching period
The course is offered in the spring semester.

Teacher responsible
Email: brewer@memphys.sdu.dk

Additional teachers
wuestner@bmb.sdu.dk
veits@bmb.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Wednesday 08-10 U1 9
Common I Wednesday 08-10 U55 10,12-14,16-17
Common I Wednesday 08-10 U140 11
Common I Thursday 12-14 U140 13
H10 TE Monday 08-10 U154 14
H10 TE Tuesday 10-12 U154 11
H10 TE Tuesday 10-12 U142 12,14
H10 TE Tuesday 10-12 U24A 13
H10 TE Tuesday 10-12 U10 16,18
H10 TE Tuesday 10-12 U153 17
H10 TL Thursday 08-12 U25A 10
H10 TL Thursday 08-12 U23A 12
H10 TL Thursday 08-12 U146 17
H10 TL Thursday 08-12 U28A 18
H10 TE Friday 10-12 U29A 10
H10 TE Friday 10-12 U17 11
H11 TE Monday 08-10 U145 14
H11 TL Tuesday 14-18 U25A 10
H11 TE Tuesday 10-12 U25A 11
H11 TE Tuesday 10-12 U145 12
H11 TE Tuesday 10-12 U156 13,16-18
H11 TE Tuesday 10-12 U146 14
H11 TL Tuesday 14-18 U156 18
H11 TE Thursday 14-16 U154 10
H11 TL Thursday 08-12 U155 12
H11 TE Friday 10-12 U44 11
H11 TL Friday 14-18 U14 17
H12 TE Monday 14-16 U142 14
H12 TE Wednesday 10-12 U48 10,17-18
H12 TE Wednesday 10-12 U144 11
H12 TE Wednesday 10-12 U44 12
H12 TE Wednesday 10-12 U153 13,16
H12 TE Wednesday 10-12 U154 14
H12 TE Thursday 12-14 U48 11
H12 TL Thursday 14-18 U156 18
H12 TL Friday 08-12 U56 10
H12 TL Friday 08-12 U154 12,17
H13 TL Monday 08-12 U156 10,12,17-18
H13 TE Monday 14-16 U154 14
H13 TE Wednesday 10-12 U25A 10
H13 TE Wednesday 10-12 U56 11
H13 TE Wednesday 10-12 U154 12-13,16-18
H13 TE Wednesday 10-12 U146 14
H13 TE Thursday 12-14 U154 11
H14 TE Monday 12-14 U28A 11
H14 TE Monday 12-14 U154 12,14-15
H14 TE Monday 12-14 U28 13
H14 TE Monday 12-14 U156 17-18
H14 TE Wednesday 12-14 U10 11
H14 TL Wednesday 13-17 U156 12
H14 TE Wednesday 12-14 U146 14
H14 TL Wednesday 13-17 U10 18
H14 TE Thursday 12-14 U10 10
H14 TL Friday 14-18 U142 10
H14 TL Friday 08-12 U156 16
H15 TL Monday 14-18 U11 10,12,17
H15 TE Monday 12-14 U156 11
H15 TE Monday 12-14 U26A 12
H15 TE Monday 12-14 U154 13
H15 TE Monday 12-14 U10 14
H15 TE Monday 12-14 U13 15
H15 TE Monday 12-14 U11 17-18
H15 TL Monday 14-18 U10 18
H15 TE Wednesday 12-14 U48 11
H15 TE Wednesday 12-14 U154 14
H15 TE Thursday 12-14 U131 10
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Prerequisites:
None

Academic preconditions:
Students taking the course are expected to:
  • Have knowledge of basic calculus corresponding to the course  Mathematics for BMB, Biomedicine and Chemistry
 


Course introduction
The purpose of this course is to introduce mathematical notation and mathematical methods for analysis of problems in lifesciences. Emphasis will be on practical / computing aspects of the mathematical methods introduced in the course. The course will introduce the student to applications of mathematics which the students of BMB and biomedicine will use in later courses of during their studies. The course will combine mathematics with relevant examples from physics, chemistry and biology. 

The course builds on the knowledge acquired in the course Mathematics for BMB, Biomedicine and Chemistry. It gives an academic basis for applying mathematics to describe physical, chemical and biological phenomena.

In relation to the competence profile of the degree it is the explicit focus of the course to enable the student to analyze relevant  problems related to  physical, chemical and biological phenomena with a mathematical approach and to perform calculations on typical mathematical  problems related to life sciences.

 



Expected learning outcome
The learning objective of the course is that the student demonstrates the ability to:
  • Use mathematics to describe and solve typical mathematical problems in life sciences. 
  • Gain an overview and understanding of the basic concepts of the mathematical methods used in life sciences.
 


Subject overview
The following main topics are contained in the course:
  • Calculations and analysis of mathematical functions relevant to life sciences. 
  • Descriptive  statistics
  • Visual display of data
  • Linear regression
  • Biological applications of derivatives
  • Rates of change 
  • Thermodynamics
  • Applications of integration. 
  • Thermodynamics
  • Poiseuille’s Law: Blood flow
  • Differential equations
  • Enzyme kinetics
  • Chemical reactions
  • Linear algebra including vectors, matrices, solution linear systems of equations, determinants, eigenvalues and eigenvectors. 
  • Numerical methods (interpolation, numerical integration, minimization), and their applications in life sciences
 


Literature
There isn't any litterature for the course at the moment.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Project reports, (2ECTS), Internal marking, pass/fail. (01015312).
  2. Written exam, (3 ECTS), External marking, 7-mark scale. (01015302).
Expected working hours
The teaching method is based on three phase model.
Intro phase: 16 hours
Skills training phase: 36 hours, hereof:
 - Tutorials: 20 hours
 - Laboratory exercises: 16 hours

Educational activities
  • Work with the material from the book
  • Problem solving
  • Mini project
 
Educational form
The intro phase consists of lectures which provide an introduction to the course. Students are expected to independently read prescribed text (the text book) to achieve the expected competencies and necessary overview. The skills training phase deals with the central parts of the course using theoretical and computer based exercises. The tutorials are based on prior independent work or, if wanted, self-organized group work. The training phase also includes Computer based lab exercises in which students work together in groups. The study phase is partly preparation for the intro lectures, tutorials and laboratory exercises as well as preparation of laboratory reports and exam preparation (repetition).

Language
This course is taught in Danish.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.