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Course, academic year 2024/2025
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Mathematics for medical students - B83582 (elective subject)
Title: Mathematics for medical students
Guaranteed by: Institute of Biophysics and Informatics First Faculty of Medicine Charles University (11-00170)
Faculty: First Faculty of Medicine
Actual: from 2024 to 2024
Semester: both
Points: 2
E-Credits: 2
Hours per week, examination: 0/10, C [HS]
Extent per academic year: 10 [hours]
Capacity: 30
Min. number of students: 2
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English
Teaching methods: full-time
Explanation: Dean Pavlovic (dean.pavlovic@lf1.cuni.cz)
Note: course for students of another faculty
course can be enrolled in outside the study plan
enabled for web enrollment
you can enroll for the course in winter and in summer semester
Guarantor: RNDr. Čestmír Štuka, MBA, Ph.D.
Attributes: Lékařství
Klinický předmět
Zubní lékařství
Annotation
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.
Last update: Holanová Marcela (11.07.2023)
Aim of the course

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.

Last update: Holanová Marcela (11.07.2023)
Course completion requirements

In the summer semester of the academic year 2024/25, the classes will be conducted in English, together with B03582. The classes will be in the form of four afternoon lectures on a weekly basis. Each lecture lasts 180 minutes. 

Lectures will take place on Thursdays from 3:15 PM, beginning second week of the semester (6.3) in Cori lecture hall (síň Coriových), street U Nemocnice 5.

It is possible to attend the subject without enrollment in SIS, after informing the teacher. 

Lecture topics:
1st lecture: Introduction, Algebra
2nd lecture: Mathematical functions, Differential calculus
3rd lecture: Integral calculus, Mathematical modeling*
4th lecture: Probability and Statistics

Preliminary knowledge: high school mathematics.
*Third lecture is suited mostly for intermediate students, i.e. students with basic knowledge of differential calculus (derivatives). Though all are welcome.

Credits are awarded for actively attending at least three lectures.

Last update: Pavlovič Dean, Bc. (25.02.2025)
Teaching methods

lectures, individual work, discussion

Last update: Pavlovič Dean, Bc. (08.02.2025)
Syllabus

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.

Last update: Holanová Marcela (11.07.2023)
Education plan -
Schedule by date
Day Date Description Teacher Files Note Hodnocení
Thursday06.03.2025Introduction, AlgebraBc. Dean Pavlovič3:15-6:15 PM
Thursday13.03.2025Mathematical functions, Differential calculusBc. Dean Pavlovič3:15-6:15 PM
Thursday20.03.2025Integral calculus, Mathematical modeling*MUDr. Jaromír Šrámek3:15-6:15 PM
Thursday27.03.2025Probability and StatisticsBc. Dean Pavlovič3:15-6:15 PM
 
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