310-2214/01 – Mathematics on PC I (MnP1)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits2
Subject guarantorMgr. Zuzana Morávková, Ph.D.Subject version guarantorMgr. Zuzana Morávková, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation2019/2020
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
MOR74 Mgr. Zuzana Morávková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+1

Subject aims expressed by acquired skills and competences

The goal of this course is to introduce to students available mathematical software. This course can help the students to uderstant better the topics covered in "Mathematics I" because of large number of solved examples. For a bachelor and/or a Engineer it is important not only to master the theory but also to use mathematical software efficiently.

Teaching methods

Individual consultations
Tutorials
Project work
Other activities

Summary

The goal of this course is to introduce to students available mathematical software. This course can help the students to uderstant better the topics covered in "Mathematics I" because of large number of solved examples. For a bachelor and/or a Engineer it is important not only to master the theory but also to use mathematical software efficiently. The Course Includes an Algebraic Vector,Elementary Treatments of a Matrix,Systems of Linear Equations, a Determinant, Inverse matrices, The Real-Valued Function of a Real Variable,the Derivation of a Function, Derivation Applications,the Differential Calculus of Functions of Several Variables. The Emphasis Will Be on Applications of Lectured Topics.

Compulsory literature:

Kutzler B., Kokol-Voljc V.: Introduction to Derive 5., Texas Instuments, 2000.

Recommended literature:

Kreml, Pavel: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1

Way of continuous check of knowledge in the course of semester

Conditions for obtaining credit points: - participation in exercises, 20% can be to apologize - completion of one written test - completion of the projekt

E-learning

Other requirements

Lessons are parallel with Mathematics I.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Introduction to math-software. Inputof numbers, variables, operations and functions. Vectors and linear independence of vectors. 2. Matrices, input of matrices, matrix product, Rank and determinant of matrix, Invertible matrix, Linear systems. 3. Elementary math functions and graphs. 4. Limits and derivative of functios 5. Aplications of derivative. Parametric function and graphs. 6. Monotonic functions and extremes of function, convexity and concavity of a function 7. Analytic geometry

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester, validity until: 2019/2020 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit 100  51
Mandatory attendence participation: Lessons are obligatory, 20% absence can be excused.

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2019/2020 (B3923) Materials Engineering (3911R034) Materials and Technologies for Automobile Industry P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

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