Subjects

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Mathematics - GAF105

Title:	Mathematics
Guaranteed by:	Department of Biophysics and Physical Chemistry (16-16110)
Faculty:	Faculty of Pharmacy in Hradec Králové
Actual:	from 2022
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 / 90 (unknown)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
Key competences:
State of the course:	taught
Language:	English
Teaching methods:	full-time
Teaching methods:	full-time
Level:
Explanation:	(F,1.r.)
Old code:	F105
Note:	course can be enrolled in outside the study plan enabled for web enrollment

Guarantor:	doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D.
Classification:	Pharmacy >
Is co-requisite for:	GAF199, GAF131
Is pre-requisite for:	GAF303

Examination dates WS schedule

Annotation -

Last update: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. (19.09.2022)

To enrich and deepen the knowledge of the essentials of calculus and ensemble it with some concepts of discrete and numerical mathematics is the main goal of the subject. The teaching is focused on the understanding of mathematical concepts with regard to their application, not on formal version and prove of theorems.

Course completion requirements -

Last update: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. (19.09.2022)

Conditions for granting the credit – Mathematics seminars

1. Active participation during all seminars – in the case of absence a written excuse by the physician must be brought.

Literature -

Last update: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. (19.09.2022)

Recommended:

Petr Klemera. Mathematics. Selected topics for students of Pharmacy.. Hradec Kralove: Faculty of Pharmacy, Charles University, , s. ISBN .

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.

Syllabus -

Last update: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. (19.09.2022)

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

· Taylor series and error estimates

Integrals

· indefinite integrals

· definite integrals

· basic properties of differential equations

Functions of multiple variables

· definition and geometrical meaning of partial derivatives

· extrema of functions of two variables

Matrices

· basic matrix operations

solution of systems of linear equations using the inverse matrix

Teaching methods -

Last update: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. (07.10.2021)

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

Requirements to the exam -

Last update: doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. (19.09.2022)

The exam is a written exam with 20 standard multiple choice (4 possible answers, only one is correct) questions and 2 advanced multiple choice questions. To pass the exam it is necessary to have at least 12 correct answers to standard questions, which will result in the mark „good“ (3). At least 16 correct answers to standard questions are necessary to obtain the mark „very good“ (2). A student with the mark „very good“ (2) can obtain the mark „excellent“ (1) when, in addition, she/he answers correctly to the advanced questions.

The 20 standard questions are questions about the contents of all seminars. The 2 advanced questions are about the contents of not only all seminars, but of all lectures as well. The emphasis is on deeper understanding of mathematical principles (instead of merely learning by heart the computational procedure) and on the ability of abstract thinking. Some (simple) proofs may be required.

The maximally allowed time is 60 min. Admitted tools are: writing accessories, ruler, a simple calculator (without internet connection or modules to directly compute derivatives, integrals or matrix operations; not a cell phone).