MM503: Biomath I (5 ECTS)

STADS: 13000301

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.
Second quarter.

Teacher responsible
No responsible teachers found, contact the department if necessary

Timetable
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Comment:
Ansvarlig underviser: Frank Nasser, (ekstern lektor) nasser@imada.sdu.dk.
Ubegrænset deltagerantal.

Prerequisites:
None

Academic preconditions:
Danish high school mathematics (B level).

Course introduction
To supply the students with basic mathematical tools in single-variable calculus and introductory probability theory with a view towards applications in biology.



Qualifications
Based on high school mathematics (B-level), the students will be introduced to and trained in a number of fundamental concepts related to functions of a single variable and introductory probability theory.
The course thus equips the students with basic mathematical tools for further studies in the biological sciences. Having completed the course successfully, the student can be expected to

- have a solid understanding of basic concepts from single-variable calculus, and to be able to apply these in connection with mathematical modelling of biological phenomena.
- be familiar with basic notions from probability theory in preparation for the course in statistics in the fourth quarter.

Expected learning outcome


Subject overview
1. Real numbers and quantities. Functions of a single variable. Periodic functions. Logarithms, exponential and power functions.
2. Limits. Differentiability. Tangents and derivatives. Anti-derivatives. The derivatives and anti-derivatives of standard functions (including the trigonometric functions, as well as the logarithmic, exponential and power functions).
3. Riemann sums. The Riemann integral. The fundamental theorem of calculus.
4. Introductory probability theory: Random variables. Density functions. Mean, variance and standard deviation. The Gaussian distribution.

Literature

Meddeles ved kursets start.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
(a) A two hour written exam with books, notes, etc. Lap top is allowed at the exam. (The lap top can not be loud, and printer is prohibited.) Internal examiner, pass/fail. Re-exam after third quarter.
(b) A number of mandatory assignments which account for 1 ECTS of the total 5 ECTS of the course (pass/fail, internal examiner). These assignments are not part of the first year test.

Expected working hours
The teaching method is based on three phase model.

(a) Forelæsninger (25 timer).
(b) Eksaminatorier/opgaveregning (25 timer).
Educational activities

Language
No recorded information about the language used in the course.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.