4215203 Mathematics in Pharmacy, Part 1: Differential and Integral Calculus in Kinetic studies, 2 Cp
Code 
4215203 
Validity 
01.01.2010 

Name 
Mathematics in Pharmacy, Part 1: Differential and Integral Calculus in Kinetic studies 
Abbreviation 
MAF1 
Credits 
2 Cp 
Date of expiry 

Type  Intermediate Studies 
Subject  0708 Biopharmacy 
Class  Study Unit 
Hours 

Study right 

Grading  FailPass 
Recommended scheduling  
 


 
Organisation 
Pharmacy (K) 

Teachers
Description
Learning outcomes 
To understand the mathematics involved in kinetic studies (e.g., chemical or radioactive degradation, pharmacokinetics). To learn to derive the most important differential and exponential equations using differential and integral calculus. 
Content 
1) The basics of differential and integral calculus 2) Derivation of basic equations for first order kinetics 3) Derivation of equations for two sequential reactions. 
Modes of study 
Practical exercises, learning diary.
Details: The student solves exercises, prepares a learning diary and discusses with the teacher on its topics. 
Teaching methods 
OnetoOne Teaching 2 h, Independent Study 52 h.
The course can be taken at any time during autumn and spring semester. Initial meeting with the teacher. The student studies independently: reads the textbook, solves exercises and prepares a learning diary. The teacher may be contacted if necessary. Final discussion with the teacher. It is also possible to study in a group of studentsThe course can be taken at any time during autumn and spring semester. Initial meeting with the teacher. The student studies independently: reads the textbook, solves exercises and prepares a learning diary. The teacher may be contacted if necessary. Final discussion with the teacher. It is also possible to study in a group of students. 
Study materials 
Erich Steiner: Chemistry maths book, 2nd edition, 2008 (selected chapters); Exercise workbook entitled MAF1 learning material. Optional supporting material: Silvanus P. Thompson and Martin Gardner: Calculus made easy, 1998 (selected chapters); Two articles on Laplace transform: a) Mayersohn M and Gibaldi M: Mathematical methods in pharmacokinetics. I. Use of Laplace transform for solving differential rate equations. Am J Pharm Educ 34: 608614, 1970 b) Mayersohn M and Gibaldi M: Mathematical methods in pharmacokinetics. II. Solution of the two compartment open model. Am J Pharm Educ 35: 1928, 1971; Two classic articles on pharmacokinetics: a) Teorell T: Kinetics of distribution of substances administered to the body. I. The extravascular modes of administration. Arch lnt Pharmacodyn 57: 205225, 1937 b) Teorell T: Kinetics of distribution of substances administered to the body. II. The intravascular modes of administration. Arch Int Pharmacodyn 57: 226240, 1937. 
Teachers 
Lecturer VeliPekka Ranta. 
Time 
Autumn semester and spring semester. 
Offering data 
FA1, FA2, FA3, PR1, PR2, PR3, PR4, PR5, exchange students. 
Campus 
Kuopio. 
Further information 
Organising Department: School of Pharmacy, Pharmaceutical Technology and Biopharmacy.
Contact persons:
Responsible teacher: Lecturer VeliPekka Ranta (velipekka.ranta(at)uef.fi).
Office: Marja Lappalainen (marja.lappalainen(at)uef.fi). 

Letter (J, K) in front of the name of the course/exam indicates the campus on which teaching or exam takes place: J = Joensuu, K = Kuopio.
Present and future teaching
Future exams