LMI Mathematics in engineering practice

Institute of Technology and Business in České Budějovice
winter 2014
Extent and Intensity
2/2. 5 credit(s). Type of Completion: zk (examination).
Guaranteed by
doc. Ing. Zuzana Rowland, MBA, PhD.
Study Department – Vice-Rector for Study Affairs – Rector – Institute of Technology and Business in České Budějovice
Prerequisites
OBOR(CAP)
Knowledge of linear algebra and differential of one variable in the scope of the Bachelor's study
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives supported by learning outcomes
Extension of the knowledge acquired in the bachelor study so that these skills are applicable in other engineering disciplines (Quantitative methods in decision-making). The emphasis is on the application. Each area of mathematics are studied through the use of mastering the zone calculations--and teaching the ability to count, while it is not necessary to handle the calculations of the "pencil and paper", but is used as far as possible, software support resources.
Syllabus
  • Number sequence (+ an arithmetic and geometric sequences)
  • Number sequences (+ an arithmetic and geometric series)
  • Introduction to functional series (mainly with regard to the use in numerical mathematics, the Taylor series, the principle of the Fourier series)
  • Differential calculus of functions of more variables--mainly two. The concept of functions of more variables, chart, defining the scope. The use of software resources.
  • Differential calculus of functions of more variables. The concept of term limits, the metric function. Partial derivative. Her geometric meaning.
  • Extremes and tied the extremes of functions of more variables--mainly two.
  • Integral number of functions of more variables. Double integral. Calculation and geometric interpretation.
  • Integral number of functions of more variables. Transformation of coordinates and its application in polar and polar coordinates in General.
  • Integral number of functions of more variables. Application in engineering practice. Calculation of volume, surface, Center of gravity and moment of inertia.
  • Introduction to the theory of ordinary differential equations. The concept of the ordinary differential equation and its solution.
  • Separate and homogeneous ordinary differential equation
  • Linear first order differential equation with constant coefficient and its solution. Firefox – relationship to technical Cybernetics.
  • Linear second-order differential equation with constant coefficient and its solution. Application of the vibrating system – relationship to technical Cybernetics-management systems
  • The principle of the numerical solution of differential equations. Approximation solution of differential equations in the form of functional series
Literature
  • Nagy, J.: Elementární metody řešení od. dif. rovnic, SNTL Praha 1978
  • Vrbenská, H., Bělohlávková, J.: Základy matematiky pro bakaláře II. Skriptum VŠB-TU Ostrava, 2004
  • Dobrovská, V., Vrbický, J.: Diferenciální počet funkcí více proměnných, skriptum VŠB- TU Ostrava, 2004
Forms of Teaching
Tutorial
Teaching Methods
Frontal Teaching
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Seminars, Exercises, Tutorial 35
Příprava na zkoušku (in Czech) 35
Zpracování seminární práce (in Czech) 36
Attendance on Seminars/Exercises/Tutorial/Excursion 24
Total:0130
Exam conditions
Part of it is the individual semester work in the above range (the student will draw up a set of examples from various areas) How to check: The Defense completed seminar work, Semester written work documenting the control calculations, the oral test based on an explanation of the relationships between concepts and their applications (not samples)
Language of instruction
Czech
The course is also listed under the following terms winter 2012, winter 2013, summer 2014, summer 2015, winter 2015, Summer 2016.
  • Enrolment Statistics (winter 2014, recent)
  • Permalink: https://is.vstecb.cz/course/vste/winter2014/LMI