Subjects

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Applied Mathematics - GF425

Title:	Aplikovaná matematika
Form of teaching:	lecture+seminar
Guaranteed by:	Department of Computational and Physical Pharmacy (16-16110)
Faculty:	Faculty of Pharmacy in Hradec Králové
Actual:	from 2026
Duration in semesters:	1
Semester:	winter
Points:	0
E-Credits:	2
Examination process:	winter s.:written
Hours per week, examination:	winter s.:14/14, C+Ex [HS]
Capacity:	unlimited / 416 (unknown)
Maximum number of enrolled students:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
Key competences:
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Level:
Repeated enrollment:	1 / 1 / - / 1

Guarantor:	doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D.
Incompatibility :	GF105
Interchangeability :	GF105
Is co-requisite for:	GF392, GF427
Is interchangeable with:	GF105

WS schedule

Annotation -

The main goal of the subject is to recall and enrich the knowledge of applied calculus as needed during pharmacy studies. The teaching is focused on the understanding of mathematical concepts with regard to their application, not on formalism and proofs of theorems.

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (30.09.2026)

Course completion requirements -

Conditions for granting the credit:

Active participation during all seminars – in the case of absence a written excuse by the physician must be brought, or a document proving the gravity of the situation (death of a near family member, appointment with the embassy). Otherwise, the credit test cannot be granted.

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (30.09.2026)

Literature -

Recommended:

Stein, Sherman K.. Calculus and analytic geometry. New York: McGraw-Hill, 1987, 878 s. ISBN 0-07-061159-9.

Batschelet, Edward. Introduction to mathematics for life scientists. Berlin: Springer, 1979, 643 s. ISBN 3-540-09648-5.

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (30.09.2026)

Teaching methods -

The guarantor lectures, teachers conduct seminars. Consultation may be based on a personal, telephone or email order.

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (30.09.2026)

Course assessment methods and requirements for successful completion, grading scheme -

Conditions for the exam: Applied Mathematics

The written exam consists of questions from the material covered in all seminars. It contains 15 test questions, each worth one point. At least 9 points must be obtained to pass the exam and get the grade E. At least 11 points must be obtained for the grade D. At least 12 points must be obtained for the grade C. At least 13 points must be obtained for the grade B. At least 14 points must be obtained for the grade A. The exam can be written only if the credit test is granted.

The total time of the exam is 60 min. A separate sheet will be provided for auxiliary calculations; it must be signed and handed in along with the exam paper. The auxiliary calculations will not be taken into account during the grading of the test. The only allowed tools are: writing utilities, ruler, calculator (not on a mobile phone and only a simple calculator without functions to compute integrals or derivatives is allowed).

In addition to written exams after the last seminars, there will be three 10-minute tests at the beginning of the 3rd, 5th and 7th seminars. Each such "mini-test" contains 2 questions. For the first such "mini-test", each question is worth half a point. For the other two "mini-tests", each question is worth 1 point. The points obtained in this way will be fully transferred to the exam.

Everyone is entitled to three attempts at the exam. Once a student decides not to retake the exam, the final result is the best result achieved across all attempts. Points from all mini-tests are added to the result of each attempt.

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (30.09.2026)

Syllabus -

Error theory and statistics:

· rounding and display of inexact numbers

· average, standard deviation and standard error of the mean

Functions of one variable

· important types of functions and their characteristics

· main rules for graphs drawing and graphical representation of functions

· graphical solution of equations

· function identification using transformation of coordinates

Derivatives

· properties, physical and geometrical meaning of derivatives

· extrema and behaviour of functions

· derivative-based error estimates

Integrals

· indefinite integrals

· definite integrals

· basic properties of differential equations

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (10.09.2025)

Learning resources - Czech

Kurz: Matematika od ZS 2024 | DL 1

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (11.09.2025)

Learning outcomes -

The Applied Mathematics course is intended for students with no experience in mathematics at university and expands their knowledge, particularly in the areas of derivation, integration, and differential equations.

After completing the course, the student knows the properties of the most important functions for describing pharmaceutical processes (e.g. linear, exponential and logarithmic), can derive and integrate them and solve differential equations for chemical reactions of 0th, 1st and 2nd order. Furthermore, he/she will briefly become familiar with descriptive statistics and will become familiar with the notation of imprecise numbers that may arise during laboratory measurements.

Learning outcomes:

After completing the course, the student is able to correctly perform the following tasks:

define linear, quadratic, generally polynomial, power, exponential and logarithmic functions;

be familiar with the properties of the above functions and their graphs;

calculate the derivative, indefinite and definite integral of the above functions or their sum, difference or composition;

explain the use of mathematical functions and differential equations in pharmaceutical sciences using examples;

evaluate and interpret the influence of measurement error on functional values, including the notation for inexact numbers and the calculation of sample quantities (mean, standard deviation, standard error of the mean);

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (11.09.2025)

Course registration requirements -

Secondary school Mathematics.

Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (11.09.2025)