Sylabus
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.
Anotace
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.