Math and Physics
Code  Completion  Credits  Range  Language Instruction  Semester 

304CMP  credit  2  2 hours (45 min) of instruction per week, 32 to 42 hours of selfstudy  English 
Subject guarantor
Name of lecturer(s)
Contents
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 nonEuropean 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).
A.Maths part
1.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.
2.Simplifying expressions. Simple equations  rules for solving.
3.Introducing graphs. Relating equations to graphs. Quadratic equations, system of linear equations. Relation  direct and inverse proportion.
4.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.
5.Trigonometry and geometry of triangle and circle ratios (sin, cos and tan) in the rightangle 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.
6.Trigonometric functions  trigonometric functions, inverse functions, stretching, shifting and shrinking triggered functions, solving equations with trigonometric functions.
7.Vectors  magnitude and addition, scalar and vector products. Matrices  description, addition and multiplying matrices, system of equations and matrices, practical use.
8.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.
9.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
10.Units: US 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.
11.Motion  acceleration, velocity, displacement. Force and Motion  mass, Newton's laws. Work, energy and power. Kinetic and potential energy. Gravitation, Newton's law of gravitation. Introduction to Special Relativity. Model of atom.
12.Waves  types, frequency. Acoustics  sound, speed and intensity of sound, Doppler effect, FletcherMunson curves, problems with loudness.
13.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.
14.Electromagnetic induction  transformers, electric motors. Electromagnetic waves. Electromagnetic compatibility. Electrical safety. Review of lectures.
Learning outcomes
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).
Prerequisites and other requirements
An integral part of these lectures is a practical exercise of the subject in course „Maths, Physics  practical seminars“
Literature
Recommended Materials:
Math. A SelfHelp 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 0471465089.
Supplementary Materials:
[3] Yevick, D.and H.: Fundamental Math and Physics for Scientists an Engineers. John Wiley & Sons, 2015, ISBN 9780470407844 (pbk.) – ISBN 9781118985595 (Adobe PDF)
[4] Veselá, E.: Physics I. Czech Technical University Press, 2011
[5] Veselá, E.: Physics II. Czech Technical University Press, 2012
Evaluation methods and criteria
Credit for 80% participation
Note
online course
Schedule for winter semester 2024/2025:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00



Mon 

Tue 

Wed 

Thu 

Fri 

Date  Day  Time  Tutor  Location  Notes  No. of paralel 

Tue  15:40–17:15  Martin BERNAS  Room No. 225 Lažanský palác 
lecture parallel1 
Schedule for summer semester 2024/2025:
The schedule has not yet been prepared
The subject is a part of the following study plans
 Cinematography_3_2021 (Required subjects)