N_AMS Applied mathematics and physics in mechanical engineering

Institute of Technology and Business in České Budějovice
winter 2023
Extent and Intensity
2/4/0. 7 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. Ing. Marta Harničárová, PhD. (seminar tutor)
doc. RNDr. Milena Kušnerová, Ph.D. (seminar tutor)
Ing. Michal Řepka, Ph.D. (seminar tutor)
prof. Ing. Jan Valíček, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Milena Kušnerová, Ph.D.
The Department of Mechanical Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: The Department of Mechanical Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
N_AMS/P01: each even Monday 11:25–12:55 B3, each even Monday 13:05–14:35 B3, M. Harničárová, M. Kušnerová, M. Řepka, J. Valíček
N_AMS/S01: each even Tuesday 13:05–14:35 D515, each even Tuesday 14:50–16:20 D515, each even Tuesday 16:30–18:00 D515, each even Tuesday 18:10–19:40 D515, M. Harničárová, M. Kušnerová, M. Řepka, J. Valíček
N_AMS/S02: each even Tuesday 13:05–14:35 B2, each even Tuesday 14:50–16:20 B2, each even Tuesday 16:30–18:00 B2, each even Tuesday 18:10–19:40 B2, M. Harničárová, M. Kušnerová, M. Řepka, J. Valíček
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
The aim of the course is a general overview of mathematical methods based on knowledge of the basic laws of physics to engineering applications. These applications take the form of practical tasks from stress (tension, compression, shear, torsion, bending, combined), as well as machining (drilling, turning, milling, grinding), fitting.
Learning outcomes
The student will gain knowledge of the basic laws of physics for engineering applications. The student is also able to understand the practical tasks that will be solved in the course.
Syllabus
  • 1. Introduction. 2. Linear algebra: matrices, determinants, systems of linear equations, example of applications in engineering practice. 3. Vector calculus, demonstration of applications in engineering practice. 4. Differential calculus of functions of one variable: basic elementary functions, limits, derivatives, example of applications in engineering practice. 5. Integral calculus of functions of one variable: primitive functions, definite integral, example of applications in engineering practice. 6. Real function of two and more variables, compound function, example of applications in engineering practice. 7. Limit and continuity of a function of two or more variables. Theorems about continuous functions, demonstration of applications in engineering practice. 8. Partial derivatives, partial derivatives of complex functions, partial derivatives of higher orders of functions of two or more variables, example of applications in engineering practice. 9. Total differential of a function. Higher order total differentials, application of problems in engineering practice. 10. Local extrema of a function of two variables, example of applications in engineering practice. 11. Function of one variable given implicitly. Function of two variables given by default. Demonstration of applications in engineering practice. 12. Global extremes. Simple tasks of finding global extrema using bounded extrema, demonstration of applications in engineering practice. 13. Application of problems in engineering practice - mathematical-physical analysis of more complex solved problems.
Literature
    required literature
  • DELVENTHAL Katka Maria, KISSNER Alfred, KULICK Malte. Kompendium matematiky: vzorce a pravidla: četné příklady včetně řešení: od základních operací po vyšší matematiku. Vydání čtvrté. Přeložil Jiří HENZLER. Praha: Knižní klub, 2017. Universum (Knižní klu
  • Dillinger Josef a kol. Moderní strojírenství pro školu a praxi. Praha: Europa Sobotáles, 2007. 608 s.
  • GASCHA, Heinz, PFLANZ Stefan. Kompendium fyziky: vzorce, zákony a pravidla – úlohy, příklady a jejich řešení – podrobná slovníková část. Vydání druhé. Praha: Knižní klub, 2017. Universum (Knižní klub). 488 s. ISBN 978-80-242-5716-7.
    recommended literature
  • ČERNOCH, Svatopluk. Strojně technická příručka 1. 12. přepr.vyd. Praha: SNTL, 1968. 1183 s.
  • ČERNOCH, Svatopluk. Strojně technická příručka 2. 12. přepr.vyd. Praha: SNTL, 1968. 1228 s.
Forms of Teaching
Lecture
Seminar
Consultation
Teaching Methods
Frontal Teaching
Brainstorming
Critical Thinking
Individual Work– Individual or Individualized Activity
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Lectures52 
Preparation for the Final Test26 
Semester project26 
Attendance on Lectures26 
Attendance on Seminars/Exercises/Tutorial/Excursion52 
Total:1820
Assessment Methods and Assesment Rate
Test – final 70 %
Project – semestral 30 %
Exam conditions
Conditions for granting credit: participation in seminars; semester project - 30%. The exam has a written part: The written part verifies the student's ability to understand and apply basic theoretical knowledge of applied mathematics and physics in mechanical engineering; exam - written 70%.
Language of instruction
Czech
Teacher's information
ttendance at classes in all forms solves a separate internal standard of VŠTE (Records of student attendance at VŠTE). For full-time students, 70% attendance at seminars and seminars is mandatory.
The course is also listed under the following terms winter 2021, winter 2022, winter 2024.
  • Enrolment Statistics (winter 2023, recent)
  • Permalink: https://is.vstecb.cz/course/vste/winter2023/N_AMS