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

STADS: 07007801

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

Additional teachers
colchero@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Tuesday 12-14 U140 36-41,43-50
S8 TE Monday 10-12 U147 40
S8 TL Wednesday 10-12 U131 37
S8 TL Wednesday 10-12 U66 38
S8 TE Thursday 10-12 U31a 37,39-41,43-47,49-51
S8 TE Friday 08-10 U146 37
S8 TE Friday 10-12 U142 46,49,51
S10 TL Monday 14-16 U152 37
S10 TL Monday 14-16 U92 38
S10 TE Monday 13-15 U71 49
S10 TE Tuesday 10-12 U155 40
S10 TE Wednesday 14-16 U145 37,39-41,43
S10 TE Wednesday 14-16 Gennemsigten 1 44-45,47,51
S10 TE Wednesday 14-16 U69 46,49-50
S10 TE Friday 14-16 U145 37,46,51
S11 TE Wednesday 10-12 U155 40
S11 TE Thursday 08-10 U145 37,39-41,43-47,49-51
S11 TL Thursday 10-12 U49e 37
S11 TL Thursday 10-12 U26a 38
S11 TE Friday 14-16 U142 37,46,49,51
S12 TL Monday 08-10 U43 37
S12 TL Monday 08-10 U146 38
S12 TE Tuesday 08-10 U145 37,46,49,51
S12 TE Tuesday 16-18 U145 40
S12 TE Wednesday 08-10 U81 37,39-41,43-47,49-51
S13 TE Monday 08-10 U147 40
S13 TE Thursday 14-16 U91 37,39-41,43-44,46-47,49-51
S13 TL Thursday 08-10 U49e 37
S13 TL Thursday 08-10 U30a 38
S13 TE Thursday 14-16 U71 45
S13 TE Friday 08-10 U147 37
S13 TE Friday 12-14 U142 46,49,51
S18 TE Monday 16-18 U142 40
S18 TL Tuesday 14-16 U10 38
S18 TE Wednesday 14-16 U91 37,40,46,49,51
S18 TE Friday 08-10 U145 37,39,41,43-47,49-51
S18 TL Friday 12-14 U42 37
S28 TE Monday 10-12 U30a 37,39-41
S28 TE Monday 10-12 U7 43
S28 TE Monday 10-12 U49c 44
S28 TE Monday 10-12 U147 45-47
S28 TE Monday 10-12 U103 49-51
S28 TE Tuesday 10-12 U145 37,51
S28 TE Tuesday 10-12 U49c 40
S28 TE Tuesday 10-12 U151 46
S28 TE Tuesday 10-12 U155 49
S28 TL Wednesday 14-16 U69 38
S28 TL Friday 10-12 U55 37
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Revison of timetable:
: Eksaminatorietimerne for hold S10 i FF506 om fredagen fra kl. 14-16 i ugerne 37,46,49,51, har følgende ændringer: Uger ændret fra 37,46,49,51 til 37,46,51

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



Literature
  • Sternheim and Kane: General Physics, 2nd edition.
  • Sarah P. Otto & Troy Day: A Biologists Guide to Mathematical Modeling in Ecology and Evolution.


Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Mandatory assignments (5 ECTS). Pass/fail, internal evaluation by teacher.  (07007812)
  2. Lab. work. Pass/fail, internal evaluation by teacher (1 ECTS). (07007822)
  3. Oral exam. Pass/fail, internal examiner (4 ECTS). (07007802)

Reexam in the same exam period or immediately thereafter,

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.