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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 2023
Semester:	both
Points:	2
E-Credits:	2
Hours per week, examination:	0/10, C [HS]
Extent per academic year:	10 [hours]
Capacity:	25
Min. number of students:	2
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	English
Teaching methods:	full-time
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

Opinion survey results Examination dates WS schedule SS schedule Noticeboard

Annotation

Last update: Marcela Holanová (11.07.2023)

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.

Aim of the course

Last update: 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.

Syllabus

Last update: 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.

Teaching methods

Last update: Marcela Holanová (11.07.2023)

seminars, individual work, presenting in front of a group, discussion

Course completion requirements

Last update: 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.

Education plan -

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	Bc. Dean Pavlovič			průměr: 5, hodnoceno: 1x