Math and Physics – Practical Seminar

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Kód Zakončení Kredity Rozsah Jazyk výuky Semestr
304CMPP ZK 2 2 hodiny výuky týdně (45 minut), 32 až 42 hodin domácí příprava anglicky

Garant předmětu


Jméno vyučujícího (jména vyučujících)


Výsledky učení dané vzdělávací složky

The mathematical part of the course intends to review secondary school mathematics with additional two chapters (Fundamentals of Differential and Integral Calculus). The coursework should provide not only a basic grasp of mathematics to the students, but also allow them to understand specialised lectures. Selected chapters in physics respect the fact that some parts of physics are discussed in detail in specialised subjects (optics, photometry, colorimetry).

Forma studia


Předpoklady a další požadavky

The basic prerequisite for the successful completion of the subject is the knowledge of the practice, which can be acquired mainly in the subject „Math, Physics“

Obsah kurzu

The lectures concentrate on integrated areas that are closely related to the focus of the study program (measurement, measurement error, humidity and dewpoint, introduction to sound technique, electrical circuits and electromagnetism). With respect to the fact that most students come from non-European countries, a section on SI units and prevention of injuries by electricity has been added. The remaining lecture is dedicated to the basic kinematics and movement dynamics (from Newton to Einstein).

B.Maths part

15.Practical seminar - The different kinds of numbers – integers and real numbers, fractions. Expressions, order of operations, rules for using brackets, working with fractions, powers, zero and infinity. Other number base - binary and hexadecimal system, conversions.

16.Practical seminar - Simplifying expressions. Simple equations - rules for solving.

17.Practical seminar - Introducing graphs. Relating equations to graphs. Quadratic equations, system of linear equations. Relation - direct and inverse proportion.

18.Practical seminar - Functions - introduction, power, exponential and logarithmic functions - equations, graphs, properties. Stretching and shifting function. Logarithmic and linear scale, using logarithms in real world. Solving equations with functions.

19.Practical seminar - Trigonometry and geometry of triangle and circle ratios (sin, cos and tan) in the right-angle triangle, Pythagoras' Theorem, area of the triangle, sine and cosine rules for any triangle. Circle - special properties of angles in the circle, circle equations area of circle.

20.Practical seminar - Trigonometric functions - trigonometric functions, inverse functions, stretching, shifting and shrinking triggered functions, solving equations with trigonometric functions.

21.Practical seminar - Vectors - magnitude and addition, scalar and vector products. Matrices - description, addition and multiplying matrices, system of equations and matrices, practical use.

22.Practical seminar - Differentiation - looking for the rate of the change. Introduction, practical use. Some basic rules and formulas. Use for finding turning points and points of inflections.

23.Practical seminar - Integration - reverse process to differentiating. Definite and indefinite integral. Some basic rules and formulas. Use to find an area under the curve. Application in photometry and colorimetry. Fourier transform and its application.

B. Selected Chapters in Physics

  1. U.S. units, SI system of units – base, derived and accepted units, SI prefixes, changing units. Measurement of physical quantities, measurement errors. Humidity, temperature and dew point.

25.Practical seminar - Motion - acceleration, velocity, displacement.Force and Motion – mass, Newton’s laws. Work, energy and power. Kinetic and potencial energy. Gravitation, Newton’s law of gravitation. Introduction to special relativity. Model of atom.

26.Practical seminar - Waves – types, frequency. Acoustics – sound, speed and intensity of sound, Doppler effect, Fletcher-Munson curves, problems with loudness. Practical illustrations of problems with loudness measurement.

27.Practical seminar - Electric circuit – DC and AC current, voltage, resistor, Ohm’s law. Conductors, semiconductors, insulators. Capacitance (electric field, permiticity, capacitor) and inductance (magnetic field, permeability, inductor, ferromagnetic core). Principle of magnetic recording.

28.Practical seminar - Electromagnetic induction - transformers, electric motors. Electromagnetic waves. Electromagnetic compatibility. Electrical safety.

Doporučená nebo povinná literatura

Recommended Materials:

[1] Olive, J.: Math. A Self-Help Workbook for Science and Engineering Students. Cambridge University Press, 2003, ISBN 0 521 01707 6.

[2] Halliday,D.; Resnick,R.; Walker,J.: Fundamentals of Physics. 8th edition, Wiley&Sons., 2008. ISBN 0-471-46508-9.

Supplementary Materials:

[3] Yevick, D.and H.: Fundamental Math and Physics for Scientists an Engineers. John Wiley & Sons, 2015, ISBN 978-0-470-40784-4 (pbk.) – ISBN 978-1-118-98559-5 (Adobe PDF)

[4] Veselá, E.: Physics I. Czech Technical University Press, 2011

[5] Veselá, E.: Physics II. Czech Technical University Press, 2012

Hodnoticí metody a kritéria

Continuous evaluation of knowledge all through the semester (short tests) 30 %, final exam consisting of a written test 50% and oral part 20%.


on-line course

Rozvrh na zimní semestr 2022/2023:

místnost 225
Učebna B KK

(Lažanský palác)
(přednášková par. 1)

Datum Den Čas Vyučující Místo Poznámky Č. paralelky
Út 15:40–17:15 Martin BERNAS Učebna B KK
Lažanský palác
přednášková par. 1

Rozvrh na letní semestr 2022/2023:

Rozvrh zatím není připraven

Předmět je součástí následujících studijních plánů