FF506: Mathematics, statistics and physics for biology and pharmacy (10 ECTS)

STADS: 07009901

Level
Bachelor course

Teaching period
The course begins in the autumn semester and continues in the spring semester.

Teacher responsible
Email: adam@memphys.sdu.dk
Email: colchero@imada.sdu.dk

Timetable
Show entire timetable
Show personal time table for this course.

Prerequisites:
None

Academic preconditions:
None

Course introduction
The course gives an introduction to a range of subjects in basic mathematics and physics. The focus is on topics that are relevant for pharmacists and biologists. The course will provide a conceptual understanding of physical phenomena and develop the ability to mathematically treat simple systems. Students on the course will be trained in elementary methods and techniques in differential calculus, building on material familiar to the students from the gymnasium. Experimental exercises and demonstrations constitute an integrated part of the course. The participants will learn the basic methods for statistical description and analysis in relation to biological research. The participants will learn how to use a statistical software package for analyzing data

Expected learning outcome
After completing the course the student is expected to be able to:

• apply methods and results from differential and integral calculus of functions of one real variable to solve mathematical problems within the scope of the syllabus of the course.
• utilize graphics and summary methods for descriptive data analysis.
• test simple statistical hypotheses.
• apply simple mathematical tools to solve a physical problem and evaluate the validity of own computed results.
• perform physical experiments, describe the outcome and interpret the results of these experiments.
• apply physical principles and concepts to estimate the behavior of a physical system.
• identify the physical laws and methods that should be applied to a given physical problem.

Subject overview

1. Sets: special sets, set terminology and set operations.
2. Functions: Polynomials, logarithms, exponentials and inverse trigonometric functions.
3. Calculus: Differential and integral calculus, Taylor polynomials and limits.
4. Differential equations: 1st order linear and separable and 2nd order linear differential equations.
5. Statistics: The foundation for statistical considerations.
6. Descriptive statistics (tables, summary statistics and graphics).
7. Statistical test methods: t-test, chi-square-test, oneway ANOVA, simple linear regression.
8. Mechanics: Kinematics, newtons laws, statics, mechanical energy, Hookes law, harmonic oscillations.
9. Fluids and Transport: Hydrostatics, pressure, buoyancy, fluids, viscosity, diffusion, brownian motion.
10. Thermodynamics: Heat, work, internal energy, the 1st law of thermodynamics, ideal gasses, osmosis, changes in ideal gasses
11. Electromagnetism and Optics: Electrical and magnetic fields, light, reflection, refraction, absorbtion (Lambert-Beers law), polarization, optical activity.

Laboratory exercise 1: Brownian Motion
Laboratory exercise 2: Ideal gasses
Laboratory exercise 3: Optical activity

PC exercises in mathematics and statistics with R

Literature

Meddeles ved kursets start

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
It is a prerequisite that the laboratory exercises in physics are completed for admission to exam part b.

Assessment and marking:

1. Mandatory e-test, quizzes and group exercises, 7-point grading scale, internal examiner (5 ECTS). Fall semester
2. Approval of reports upon participation in laboratory exercises in physics, Pass/fail, internal evaluation by teacher (1 ECTS). Spring semester
3. Oral exam. Pass/fail, internal examiner (4 ECTS). Spring semester

Possible revisions to the lab reports will be conducted by the teacher during the course.
The mode of exam at the reexamination may differ from the mode of exam at the ordinary exam.

Expected working hours
The teaching method is based on three phase model.
Intro phase: 50 hours
Skills training phase: 59 hours, hereof:
 - Tutorials: 44 hours
 - Laboratory exercises: 15 hours

Educational activities Study phase: 15 hours

Language
This course is taught in Danish or English, depending on the lecturer.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.