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Course info KMA / MATH2 : Course description

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Department/Unit / Abbreviation	KMA / MATH2			Academic Year	2023/2024
Academic Year	2023/2024
Title	Mathematics 2			Form of course completion	Exam
Form of course completion	Exam
Accredited / Credits	Yes, 6 Cred.			Type of completion	Written
Type of completion	Written
Time requirements	lecture 1 [Hours/Week] practical class 3 [Hours/Week]			Course credit prior to examination	No
Course credit prior to examination	No
Automatic acceptance of credit before examination	No
Included in study average	YES
Language of instruction	Czech
Occ/max				Automatic acceptance of credit before examination	No
Summer semester	0 / 0	0 / 0	0 / 0	Included in study average	YES
Winter semester	0 / -	0 / -	0 / -	Repeated registration	NO
Repeated registration	NO
Timetable	Yes			Semester taught	Summer semester
Semester taught	Summer semester
Minimum (B + C) students	not determined			Optional course	Yes
Optional course	Yes
Language of instruction	Czech			Internship duration	0
No. of hours of on-premise lessons				Evaluation scale	A|B|C|D|E|F
Periodicity	every year
Specification periodicity				Fundamental theoretical course	No
Fundamental course	No
Fundamental theoretical course	No
Evaluation scale	A|B|C|D|E|F
Substituted course	None
Preclusive courses	KFY/UVMA2 and KFY/7UVM2 and KMA/MATA2 and KMA/MATZ2 and KMA/WMAT2 and KMA/XMAA2 and KMA/XMAT2 and KMA/2MAT2 and KMA/6MAN2 and KMA/7MAN2
Prerequisite courses	KMA/MATH1 or KMA/7MAT1
Meet all prerequisites before registering			NO
Informally recommended courses	N/A
Courses depending on this Course	KMA/FOTRA
Histogram of students' grades over the years: Graphic PNG ,  XLS

Course objectives:
Primitive function, indefinite integral, methods of integrations, definite integral, geometric meaning of definite integral, application of definite integral.
Requirements on student
Written exam consists of 1 - 3 tests. It is necessary to obtain more then 50 % of points of every test. The evaluation of the course including the classification is carried out in accordance with the Study and Examination Regulations OU. Participation in the lessons is required. The absence may be replaced by homework exercises (after the discussion with the teacher).
Content
1. Definite integral, geometrical meaning of definite integral. The tangent. 2. Physical meaning of definite integral. Computation of average and instantaneous speed. 3. Problem tasks of extrems. 4.Differential calculus of several variables. Partial derivatives. Differential. 5. Tangent of plane, Taylor´s polynomial. 6. Derivation of implicit function. 7. Definite integral. Geometric applications of the definite integral.Computation of a plane geometric shape and volume of the rotating solid. 8. Physical applications of the definite integral. Rectilinear movement path. The work done on a straight path. 9. Integral unlimited function and integral for an unlimited interval. 10. Double and triple integrals and their geometric meaning. 11. - 13. Fundamentals of numerical mathematics
Activities
Fields of study
Guarantors and lecturers
Guarantors: prof. RNDr. Jaroslav Hančl, CSc. (100%),  Lecturer: Mgr. Věra Ferdiánová, Ph.D. (100%),  Mgr. Lukáš Novotný, Ph.D. (100%),  Tutorial lecturer: Mgr. Věra Ferdiánová, Ph.D. (100%),  Mgr. Lukáš Novotný, Ph.D. (100%),  Mgr. Nicole Škorupová (100%),
Literature
Basic: Thomas, G.B., Jr, Finney, R.L. Calculus and analytic geometry. MIT, Addison-Wesley Publishing Company, 1988. ISBN 0-321-19363-6. Basic: VRBENSKÁ, H. , BĚLOHLÁVKOVÁ, J. Základy matematiky pro bakaláře I.. Ostrava, VŠB, 2003. ISBN 80-248-0519-7. Basic: VRBENSKÁ, H., BĚLOHLÁVKOVÁ, J. Základy matematiky pro bakaláře II.. Ostrava, VŠB, 2003. ISBN 80-248-0406-9. Extending: JARNÍK, V. Diferenciální počet I. ACADEMIA Praha, 1984. ISBN cnb000021007. Extending: JARNÍK,V. Integrální počet I. ACADEMIA Praha, 1984. ISBN cnb000007988. Extending: REKTORYS,K. A KOLEKTÍV. Přehled užité matematiky. SNTL Praha, 1981 nebo Prometheus Praha, 1995. ISBN 80-85849-92-5. Extending: KOPECKÝ, M., KUBÍČEK, Z. Vybrané kapitoly z matematiky. Praha, SNTL, 1981. ISBN cnb000047484. Recommended: OŠŤÁDALOVÁ, E., ULMANNOVÁ, V. Integrální počet - cvičení pro 1. ročník EkF VŠB. VŠB-TU, Ostrava, 2001. ISBN 80-7078-538-1. Recommended: KALUS, R., HRIVŇÁK, D. Breviář vyšší matematiky. OU, Ostrava, 2001. ISBN 80-7042-819-8. Recommended: VOTAVA, M. Cvičení z matematické analýzy III.. Pedagogická fakulta OU, Ostravě, 1988. ISBN 80-7042-139-8. Recommended: HANČL, J. , ŠUSTEK, J. Matematická analýza 1. OU, Ostrava, 2006. Recommended: HANČL, J. , ŠTĚPNIČKA, J. Matematická analýza 2. OU Ostrava, 2003. On-line library catalogues
Time requirements
All forms of study Activities Time requirements for activity [h] Being present in classes 52 Self-tutoring 60 Consultation of work with the teacher/tutor (incl. electronic) 4 Preparation for an exam 16 Continuous tasks completion (incl. correspondence tasks) 16 Total 148
Prerequisites
Learning outcomes
Knowledge - knowledge resulting from the course: Gained competencies A student has basic knowledge of integral calculus of real functions, of infinite number series and power series and of ODE, solves particular problems from calculus.
Assessment methods
Knowledge - knowledge achieved by taking this course are verified by the following means: Continuous analysis of student´s achievements Written examination
Teaching methods
Knowledge - the following training methods are used to achieve the required knowledge: Individual tutoring Monologic (explanation, lecture, briefing) Working with text (coursebook, book)