310-2303/01 – Mathematics 3 (Math 3)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantorMgr. Jiří KrčekSubject version guarantorMgr. Jiří Krček
Study levelundergraduate or graduate
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFEI, HGF, FMT, FBI, FAST, FSIntended for study typesBachelor, Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRC76 Mgr. Jiří Krček
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The aim of the subject is to extend the mathematical topics from the bachelor study. Students will become familiar with systems of linear differential equations, double, triple and line integrals and with basic concepts from field theory.

Teaching methods

Lectures
Seminars
Individual consultations
Other activities

Summary

Mathematics 3 is connected with Mathematics 1,2. We have to stress that student can enrol in this course only if he passed the course Mathematics 1 and 2 or an equivalent course. - Integral calculus of functions of more than one variable - Double and volume integral. Fubini's Theorem: integrating over regular regions. - Transformation of variables, polar, cylindrical and spherical coordinates. - Practical applications of double and volume integral. - Theory of the field. Scalar and vector fields. - Curves and their orientation, line integral of a scalar function and its geometrical applications. - Line integral of a vector function and its physical applications. - Path independence, Green's theorem.

Compulsory literature:

Lectures in English on school Moodle system - lms.vsb.cz

Recommended literature:

Neustupa J., Kračmar S.: Mathematics II. ČVUT, Praha 1998. http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf (in czech language)

Way of continuous check of knowledge in the course of semester

Course-credit -participation on tutorials is obligatory, 20% of absence can be apologized, -pass the written tests. Point classification: 5-20 points. Exam Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least 25 points. Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtains at least 5 points. Final classification: 100 - 91 90 - 81 80 - 71 70 - 61 60 - 51 50 - 0 A B C D E F

E-learning

http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf (in czech language) http://mdg.vsb.cz

Other requirements

No more requirements are put on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Double integral and its applications. 2. Triple integral and its applications. 3. Theory of the field, scalr and vector fields. 4. Line integrals a nd their applications. 5. Systems of ODE, elimination and Euler's method.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30 3
                Writing test Written test 60  25
                Theoretical part of the exam Oral examination 20  5
Mandatory attendence participation: The mandatory participation is 80 %. To complete the credit, students must pass the credit test.

Show history

Conditions for subject completion and attendance at the exercises within ISP: To complete the credit, students must pass the credit test. On the basis of a successfully completed credit, they can take an exam, which consists of a practical and a theoretical part.

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS Bc.-Mgr. 2024/2025 Full-time English Choice-compulsory 200 - Faculty of Civil Engineering - Dean's Office stu. block
ECTS - MechEng - Bachelor Studies 2024/2025 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2023/2024 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS Bc.-Mgr. 2023/2024 Full-time English Choice-compulsory 200 - Faculty of Civil Engineering - Dean's Office stu. block
ECTS - MechEng - Bachelor Studies 2022/2023 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS Bc.-Mgr. 2022/2023 Full-time English Choice-compulsory 200 - Faculty of Civil Engineering - Dean's Office stu. block
FMT+9360 2021/2022 Full-time English Optional 600 - Faculty of Materials Science and Technology - Dean's Office stu. block
ECTS - MechEng - Bachelor Studies 2021/2022 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS Bc.-Mgr. 2021/2022 Full-time English Choice-compulsory 200 - Faculty of Civil Engineering - Dean's Office stu. block
FMT+9360 2020/2021 Full-time English Optional 600 - Faculty of Materials Science and Technology - Dean's Office stu. block
ECTS FCE Bc-Mgr 2020/2021 Full-time English Choice-compulsory 200 - Faculty of Civil Engineering - Dean's Office stu. block
ECTS - MechEng - Bachelor Studies 2020/2021 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS FCE Bc-Mgr 2019/2020 Full-time English Choice-compulsory 200 - Faculty of Civil Engineering - Dean's Office stu. block
Additional Subjects 2019/2020 Full-time English Choice-compulsory 301 - Study and International Office stu. block
FMST 2019/2020 Full-time English Compulsory 601 - Study Office stu. block

Assessment of instruction

Předmět neobsahuje žádné hodnocení.