semmelweis university 2 0 1 2 / 2 0 1 3
semmelweis university 2 0 1 2 / 2 0 1 3 semmelweis university 2 0 1 2 / 2 0 1 3
MATHEMATICS University Pharmacy, Department of Pharmacy Administration Tutor: Dr. Andrea Meskó In the first year of the curriculum two hours of lectures are given to pharmacist students under the title above. The lectures are accompanied by practicals to help a better understanding and to get experienced in solving problems and exercises. The title covers two, more or less independent, subjects. The majority of the lectures (over 60 per cent) is devoted to (classical) mathematics, the smaller part, however, in which biostatistics are given, is not of less importance. The aim of learning classical mathematics is to understand biological, chemical, and physical processes dealt with in the subjects mentioned. The most appropriate mathematical model for the processes in nature are functions of one or more variables. To obtain the proper function for a particular process a differential equation is to be solved. The notion and the way of solution of differential equations is the central point of the course. The others namely limits, differential and integral calculus, discussion of functions, series etc. are, however, necessary preparatory steps for getting acquainted with differential equations. Biostatistics, the other subject under this title, is a more recent branch of sciences. Its importance is permanently increasing in each field where data are present, i.e. quite everywhere in scientific work. Pharmacological investigations, clinical trials, epidemiological studies (etc, etc.) cannot be carried on without the statistical analysis of the data obtained. The results of the above mentioned studies are always derived by statistical inference. Statistics is an indispensable part of any research from planning the experiment to interpretation of the results. Statistical methods are essential even for students in their laboratory work. MATHEMATICS University Pharmacy, Department of Pharmacy Administration Tutor: Dr. Andrea Meskó First Semester Lectures: 2 hours per week Practicals: 2 hours per week Differential and differential coefficient. Rules for derivations of functions. The derivative of the power function. Derivation of composite and inverse functions. Differentiability of the elementary functions. Higher order derivatives. Application of differentiation for calculation of limits of fractions. An iterative method to solve equations (Newton-method). Expansion of differentiable functions to power series. The Taylor series of exp x, sin x, cos x, ln x and other functions. Qualitative examination of functions. Roots, extremes and inflexion points. The multiplicity of a root. The complete discussion of elementary functions. Integration as the inverse operation of derivation. The indefinite integral. Integration of power functions. Integration of simple elementary functions. SEMMELWEIS UNIVERSITY / FACULTY OF PHARMACY Faculty of Pharmacy 397
SEMMELWEIS UNIVERSITY / FACULTY OF PHARMACY 398 Integration of products (the rule of “partial integration”). Integration of composite functions. Integration of rational fractions. Area under a curve: the definite integral. Improprious integrals. The concept of a differential equation. Differential equations arising in physics, chemistry, biology, botanics and other fields. The homogeneous linear differential equation with constant coefficients: solution and proof of unicity. Separation of variables as the method of solution. General and particular solutions. Introduction of new variables. Nonlinear differential equations of the first order. Differential equations of the chemical reactions of 0th, 1st and 2nd order. Functions of several variables. Partial derivatives of first and second order. Differentiability and exact differential. Application of exact differential in error calculations. Maxima and minima of two-variable functions. Different kinds of integration of functions of several variables. Integration along a line. Point functions and independence of the integral of the path. Calculation of the integral along different curves. MATHEMATICS University Pharmacy, Department of Pharmacy Administration Tutor: Dr. Andrea Meskó Second Semester Lectures: 2 hours per week Practicals: 1 hour per week Introduction and information. The most common calculations in laboratory. Some hints for numerical calculations. Biometrics and/or biostatistics. Statistical inference. Frequency distributions. Theoretical distribution and probability. The normal distribution. Measures of central tendency (mode, median, mean etc.) Applications of the weighted mean. Measures of dispersion. Standard deviation and variance. The coefficient of variation. Error bounds. The standard error of the mean. The concept of “regression line”. The linear regression: coefficients, interpretation, application. The correlation coefficient: formula and interpretation. Uses and misuses of correlation coefficient. Lack of correlation vs. independence. Spurious correlations. Coefficient of determination. Sampling distributions. Important distributions derived from the normal one: t F, and chis-quared distributions. The use of statistical tables. Theoretical background of statistical inference. Qualitative and quantitative conclusions. Estimation; confidence interval for the expected value. Testing hypotheses. The concept of “significance”. Errors of the first and of the second kind. The t-tests. Analysis of variance. The Ftest. Discrete and dichotomous distributions; variables on a nominal scale. The Poisson distribution. Analysis of qualitative data. Counting tables. Measures of association and statistical tests in fourfold tables. Sets (finite and infinite). Natural, integral, rational, real and complex numbers.
- Page 348 and 349: PHARMACOLOGY, TOXICOLOGY Second Sem
- Page 350 and 351: INTERNAL MEDICINE Second Semester L
- Page 352 and 353: Treatment of cervical lesion Clinic
- Page 354 and 355: Surgery of the liver, pancreas and
- Page 356 and 357: ORTHODONTICS PRE-CLINICAL First sem
- Page 358 and 359: findings can be brought home, for p
- Page 360 and 361: GENERAL AND DENTAL RADIOLOGY Depart
- Page 362 and 363: Bedside practice, patient demonstra
- Page 364 and 365: Lectures (1,5 hours per week) Pract
- Page 366 and 367: DENTAL ETHICS First Semester Bioeth
- Page 368 and 369: 9. week (Lecture) Justice in Health
- Page 370 and 371: Textbook: Conrad Fischer—Caterina
- Page 372 and 373: GNATHOLOGY - lectures and practices
- Page 374 and 375: CLINICAL MODULE Faculty of Dentistr
- Page 376 and 377: 10th semester subjects code subject
- Page 378 and 379: OTORHINOLARYNGOLOGY AND HEAD AND NE
- Page 380 and 381: CONSERVATIVE DENTISTRY Tutor: Dr. K
- Page 382 and 383: PEDODONTICS Department of Orthodont
- Page 384 and 385: ORTHODONTICS Second Semester Week L
- Page 386 and 387: ORAL MEDICINE Head of department: P
- Page 388 and 389: DERMATOLOGY Lecturer: Prof. Dr. Má
- Page 390 and 391: Practical guide (0,5 hour/week) Ana
- Page 392 and 393: 8. Dehypnosis, posthypnotic evaluat
- Page 394 and 395: FACULTY OF PHARMACY Faculty of Phar
- Page 396 and 397: 2 nd semester Subjects Lectures Pra
- Page 400 and 401: Definition of a function. General a
- Page 402 and 403: BIOPHYSICS Tutor: Dr. Károly Módo
- Page 404 and 405: PRACTICAL GENERAL AND INORGANIC CHE
- Page 406 and 407: Weeks Introduction Chemistry of coo
- Page 408 and 409: 6 Lipid metabolism. Fatty acid poly
- Page 410 and 411: Week Lectures (2 hours per week) 10
- Page 412 and 413: INTRODUCTION TO HEALTH INFORMATICS
- Page 414 and 415: Faculty of Pharmacy 2 nd year
- Page 416 and 417: 4 th semester Subjects Lectures Pra
- Page 418 and 419: QUANTITATIVE ANALYTICAL CHEMISTRY T
- Page 420 and 421: Lectures (2 hours per week) Practic
- Page 422 and 423: ORGANIC CHEMISTRY Second Semester W
- Page 424 and 425: Week Lectures (4 hours per week) 13
- Page 426 and 427: PHARMACEUTICAL BOTANY Department of
- Page 428: Lectures (3 hours per week) Betaoxi
- Page 431 and 432: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 433 and 434: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 435 and 436: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 437 and 438: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 439 and 440: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 441 and 442: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 443 and 444: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 445 and 446: SEMMELWEIS UNIVERSITY / FACULTY OF
- Page 447 and 448: SEMMELWEIS UNIVERSITY / FACULTY OF
MATHEMATICS<br />
University Pharmacy, Department of Pharmacy Administration<br />
Tutor: Dr. Andrea Meskó<br />
In the first year of the curriculum two hours of lectures are given to pharmacist students under the<br />
title above. The lectures are accompanied by practicals to help a better understanding and to get<br />
experienced in solving problems and exercises.<br />
The title covers two, more or less independent, subjects. The majority of the lectures (over 60 per<br />
cent) is devoted to (classical) mathematics, the smaller part, however, in which biostatistics are<br />
given, is not of less importance.<br />
The aim of learning classical mathematics is to understand biological, chemical, and physical<br />
processes dealt with in the subjects mentioned. The most appropriate mathematical model for the<br />
processes in nature are functions of one or more variables. To obtain the proper function for a<br />
particular process a differential equation is to be solved. The notion and the way of solution of<br />
differential equations is the central point of the course. The others namely limits, differential and<br />
integral calculus, discussion of functions, series etc. are, however, necessary preparatory steps<br />
for getting acquainted with differential equations.<br />
Biostatistics, the other subject under this title, is a more recent branch of sciences. Its importance<br />
is permanently increasing in each field where data are present, i.e. quite everywhere in scientific<br />
work. Pharmacological investigations, clinical trials, epidemiological studies (etc, etc.) cannot be<br />
carried on without the statistical analysis of the data obtained. The results of the above mentioned<br />
studies are always derived by statistical inference. Statistics is an indispensable part of any<br />
research from planning the experiment to interpretation of the results. Statistical methods are<br />
essential even for students in their laboratory work.<br />
MATHEMATICS<br />
University Pharmacy, Department of Pharmacy Administration<br />
Tutor: Dr. Andrea Meskó<br />
First Semester<br />
Lectures: 2 hours per week<br />
Practicals: 2 hours per week<br />
Differential and differential coefficient. Rules for derivations of functions.<br />
The derivative of the power function.<br />
Derivation of composite and inverse functions. Differentiability of<br />
the elementary functions. Higher order derivatives.<br />
Application of differentiation for calculation of limits of fractions.<br />
An iterative method to solve equations (Newton-method).<br />
Expansion of differentiable functions to power series. The Taylor series of<br />
exp x, sin x, cos x, ln x and other functions.<br />
Qualitative examination of functions. Roots, extremes and inflexion points.<br />
The multiplicity of a root.<br />
The complete discussion of elementary functions.<br />
Integration as the inverse operation of derivation. The indefinite integral.<br />
Integration of power functions. Integration of simple elementary functions.<br />
SEMMELWEIS UNIVERSITY / FACULTY OF PHARMACY<br />
Faculty of<br />
Pharmacy<br />
397