AMT Applied Mathematics for Engineers

Institute of Technology and Business in České Budějovice
summer 2024
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Dana Smetanová, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Dana Smetanová, Ph.D.
Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Informatics and Natural Sciences – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
AMT/S01: Thu 13:05–14:35 D516, D. Smetanová
Prerequisites
MAX_PREZENCNICH ( 28 ) && MAX_KOMBINOVANYCH ( 28 )
The student masters the range of mathematics courses (MAT_1, MAT_z, MAT_a or MAT).
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 to provide students with knowledge of the possibility of mathematical applications in engineering (ie. Economic practice) of linear algebra, differential and integral calculus of functions of one variable, differential equations, probability and financial mathematics.
Learning outcomes
After completing the course, students individually solve applied problems from subject matter (from linear algebra, differential and integral calculus of functions of one variable, differential equations, probability and financial mathematics). Students are able to make simple mathematical models for application problems.
Syllabus
  • 1. - 2. Applications of matrices calculus (e.g., cryptography) 3. Applications of differentiations. 4. - 5. Local extremes of real functions (volume, costs, path length …) 6. - 7. Applications of integral calculus (geometric and physical) – 2 seminars 8. Applications of ordinary differential equations of 1st order, separation of variables (decline, growing population, …) – 1 seminar, 9. Applications of ordinary linear differential equations of 1st order 10. Applications of ordinary differential equations of higher order with constant coefficients 11. probability (calculation for gambling, conditional probability) 12. - 13. Financial mathematics (simple interest rate, compound interest, ...)
Literature
    required literature
  • MUSILOVÁ, Jana and Pavla MUSILOVÁ. Matematika I : pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2., dopl. vyd. Brno: VUTIUM. 339 pp. ISBN 978-80-214-3631-2. 2009. Obsah info
Forms of Teaching
Seminar
Consultation
Teaching Block - tutorial
Teaching Methods
Frontal Teaching
Group Teaching - Cooperation
Group Teaching - Collaboration
Critical Thinking
Individual Work– Individual or Individualized Activity
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for Seminars, Exercises, Tutorial624
Seminar work2020
Attendance on Seminars/Exercises/Tutorial/Excursion268
Total:5252
Assessment Methods and Assesment Rate
Seminary Work 100 %
Exam conditions
To pass the course subject, it is necessary to get a min. 70 points.
Language of instruction
Czech
Teacher's information
Attendance in lessons is defined in a separate internal standard of ITB (Evidence of attendance of students at ITB). It is compulsory, except of the lectures, for full-time students to attend 70 % lesson of the subjet in a semester.
The course is also listed under the following terms summer 2017, summer 2018, summer 2019, summer 2020, summer 2021, summer 2022, SUMMER 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2024/AMT