Undoubtedly, mathematics serves as the foundation of modern natural science, including the field of medicine.
The curricula for most study programs in the faculty include subjects such as Biophysics, Biochemistry,
Physiology, Informatics and Pharmacology, all of which rely on mathematical methods. Some examples include
modelling of physiological functions, chemical and pharmacological calculations, signal processing and virtually
all of biophysics, where mathematics is imperative. In fact, faculty nowadays completely lacks a subject where
mathematics is explicitly taught, yet (not only) these subjects require that students already possess a solid
mathematical background. Therefore, this course would cover general mathematical concepts such as equations
or mathematical functions, which would be applied in concrete forms that are familiar from other field-related
subjects (Biophysics, Biochemistry, etc).
By the end of the course, students would learn more advanced topic of calculus, which is often underestimated or
completely omitted in many European high schools. Nevertheless, it is necessary for deeper understanding of
basic natural laws, as well as more sophisticated modelling approaches in medicine.
Moreover, mathematics is arguably one of the best tools for developing systematic analytical thinking, which is
crucial for problem-solving. Medical students with a good grasp of mathematics are better equipped to analyse
complex medical problems and develop effective treatment plans.
Mathematics is also crucial for statistics, whose knowledge is essential for accurately interpreting scientific
results and making informed clinical decisions in modern evidence-based medicine. Additionally, this subject can
open doors for students, who wish to engage in scientific research, both before and after graduation. Course
would include introduction to probability and statistics from a mathematical point of view. Therefore, it would be a
great introduction for students interested in elective subject B83534 Biostatistics 1,2.
Cíl předmětu - angličtina
Poslední úprava: Marcela Holanová (11.07.2023)
To develop systematic and analytical thinking.
To strengthen mathematical skills for everyday life, to improve estimation abilities.
To allow deeper understanding of complicated concepts in other theoretical subjects.
To provide student with mathematical background for potential scientific research.
Sylabus - angličtina
Poslední úprava: Marcela Holanová (11.07.2023)
Significance of mathematics. Analytical thinking. Estimation and approximation. Physical quantities and their units, dimensional analysis.
Algebra. Linear equations, system of linear equations. Solving for variables.
Probability, its definition and properties. Foundations of statistics.
Mathematical functions of one variable. Exponential and power functions. Logarithm. Multivariable functions. Graph of a function. Non-analytic functions.
Calculus. Derivative and integral of a function. Ordinary differential equations. Mathematical modelling. Optimization. Introduction to complex numbers.
Metody výuky - angličtina
Poslední úprava: Marcela Holanová (11.07.2023)
seminars, individual work, presenting in front of a group, discussion
Podmínky zakončení předmětu - angličtina
Poslední úprava: Bc. Dean Pavlovič (06.02.2024)
Credits are awarded for actively attending at least five seminars.
Students are allowed to attend the course either in winter or summer semester.
In the summer semester of academic year 2023/24, the classes will take place on Thursdays, from 3rd to 10th week of the semester. Classes are scheduled from 5 to 6:30 PM. Venue is Seminar room 2.108, street Na Bojišti 3. Entry from street Kateřinská 32 is possible too.
It is possible to attend Czech classes (B03582) interchangeably.
Rozpis výuky -
Rozpis datumový
Den
Datum
Popis
Učitel
Soubory
Poznámka
Hodnocení
Čtvrtek
07.03.2024
Introduction: significance of mathematics, number sets, estimation and approximation, unit conversion and dimensional analysis
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 2x
Čtvrtek
14.03.2024
Algebra: equation and its significance, solving equations, set of equations, introduction to matrix algebra
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 2x
Čtvrtek
21.03.2024
Precalculus: functions and their properties, polynomials, exponentials, logarithm and human perception, multivariable functions
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 2x
Čtvrtek
04.04.2024
Calculus 1: derivative and its significance, higher-order derivative, introduction to mathematical modelling
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 1x
Čtvrtek
11.04.2024
Calculus 2: integral and its significance, Fundamental theorem of calculus, mean value of a continuous function
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 1x
Čtvrtek
18.04.2024
Probability and statistics 1: statistical variable, mean value, spread, definition and properties of probability
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 1x
Čtvrtek
25.04.2024
Probability and statistics 2: conditional probability, sensitivity and specificity of a test, Bayes' theorem
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 1x
Schedule by date
Day
Date
Description
Teacher
Files
Note
Hodnocení
Thursday
07.03.2024
Introduction: significance of mathematics, number sets, estimation and approximation, unit conversion and dimensional analysis
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 2x
Thursday
14.03.2024
Algebra: equation and its significance, solving equations, set of equations, introduction to matrix algebra
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 2x
Thursday
21.03.2024
Precalculus: functions and their properties, polynomials, exponentials, logarithm and human perception, multivariable functions
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 2x
Thursday
04.04.2024
Calculus 1: derivative and its significance, higher-order derivative, introduction to mathematical modelling
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 1x
Thursday
11.04.2024
Calculus 2: integral and its significance, Fundamental theorem of calculus, mean value of a continuous function
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 1x
Thursday
18.04.2024
Probability and statistics 1: statistical variable, mean value, spread, definition and properties of probability
Bc. Dean Pavlovič
průměr: 5, hodnoceno: 1x
Thursday
25.04.2024
Probability and statistics 2: conditional probability, sensitivity and specificity of a test, Bayes' theorem
