Daten
Offizielle Daten in der Fachveröffentlichung für das folgende akademische Jahr: 2020-2021
Lehrbeauftragte/r
-
Dr. László GRAMA
associate professor,
Department of Biophysics -
Semesterwochenstunden
Vorlesungen: 0
Praktika: 28
Seminare: 0
Insgesamt: 28
Fachangaben
- Kode des Kurses: OPA-B1G-T
- 2 kredit
- Pharmacy
- Basic modul
- autumn
keine
Zahl der Kursteilnehmer für den Kurs:
min. 1
Thematik
Introduction into fundamentals and methods of mathematical analysis. Applications in the fields of physics, chemistry and biology. The course focuses on the acquisition of the basic knowledge of mathematics and special courses will introduce the special applications.
Topics discussed during the course: Definition, type and discussion of the functions. Derivatives of elementary functions, geometrical interpretation, differentiation rules and applications. Integration. Solving basic integral problems and differential equations. Examples from physics, chemistry and biology.
Vorlesungen
Praktika
- 1. Introduction: a biological example. Variables and functions
- 2. Introduction: a biological example. Variables and functions
- 3. Properties of functions: monotonic, periodic, exponential and log functions. Family of standard functions
- 4. Properties of functions: monotonic, periodic, exponential and log functions. Family of standard functions
- 5. Limits and continuity of functions
- 6. Limits and continuity of functions
- 7. Sequences and series. Infinite series, test of convergence
- 8. Sequences and series. Infinite series, test of convergence
- 9. Rate of change and its limit. Derivatives of elementary functions. Rules of differentiation
- 10. Rate of change and its limit. Derivatives of elementary functions. Rules of differentiation
- 11. Higher order derivatives. Taylor's expansion of functions
- 12. Higher order derivatives. Taylor's expansion of functions
- 13. Maximum and minimum of functions. Applications for physical problems
- 14. Maximum and minimum of functions. Applications for physical problems
- 15. Indefinite integrals: basic integrals. Techniques of integration
- 16. Indefinite integrals: basic integrals. Techniques of integration
- 17. Integration by parts and substitutions, composite functions
- 18. Integration by parts and substitutions, composite functions
- 19. Definite integral. Newton-Leibniz's rule. Applications
- 20. Definite integral. Newton-Leibniz's rule. Applications
- 21. Differential equations. Types of differential equations. Separable differential equations
- 22. Differential equations. Types of differential equations. Separable differential equations
- 23. Solution of first-order differential equations
- 24. Solution of first-order differential equations
- 25. Application of differential equations: chemical reactions, enzymatic reactions
- 26. Application of differential equations: chemical reactions, enzymatic reactions
- 27. Higher order differential equations. Compartment models
- 28. Higher order differential equations. Compartment models
Seminare
Materialien zum Aneignen des Lehrstoffes
Obligatorische Literatur
Vom Institut veröffentlichter Lehrstoff
http://biofizika.aok.pte.hu
Skript
József Belágyi, László Mátyus, Miklós Nyitrai: Mathematics, textbook
Péter Hajdu, László Grama: Selected Problems in Mathematics, problems booklet
Empfohlene Literatur
Voraussetzung zum Absolvieren des Semesters
Maximum of 25 % absence allowed
Semesteranforderungen
Möglichkeiten zur Nachholung der Fehlzeiten
Prüfungsfragen
http://biofizika.aok.pte.hu
Prüfer
Praktika, Seminarleiter/innen
- Dr. Bugyi Beáta
- Dr. Grama László
- Karádi Kristóf Kálmán
- Madarász Tamás
- Tempfliné Pirisi Katalin Erzsébet