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Lecturer(s)
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Kaltounová Vladislava, Ing.
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Jahodová Berková Andrea, Mgr. Ph.D.
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Jehlička Vladimír, doc. Ing. CSc.
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Kulička Jiří, Mgr. Ph.D.
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Slavíček Ondřej, Mgr. Ph.D.
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Matoušová Ivana, Mgr. Ph.D.
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Course content
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Linear algebra and analytical geometry (vectors, matrices, determinants, linear systems in a space). Function of two and more variables (domain of definition, graph, limit, coherence). Differential calculus of a function with more variables (partial derivation, differentials, Taylor's theorem, tangent plane to a graph of a function, local and constrained extremes of a function). Differential equations (separation of variables, variation of a constant, exact differential equation, differential equation of higher-order). Integral calculus of a function with more variables (improper and proper integral, integration methods, substitution in an integral, application of double and triple integral). in an integral, application of double and triple integral).
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Methods of individual activities
- Home preparation for classes
- 25 hours per semester
- Contact teaching
- 91 hours per semester
- Preparation for a credit (assessment)
- 15 hours per semester
- Preparation for an exam
- 49 hours per semester
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Learning outcomes
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The aim of the course is to master working with linear algebra and analytical geometry, essentials of differential and integral calculus of a function with more variables and solving selected differential equations.
Students will be able to solve concrete mathematical exercises in all lectured topics and apply mathematical methods in solving concrete exercises in the follow-up courses.
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Prerequisites
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Knowledge in Mathematics I.
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Assessment methods and criteria
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Oral examination, Written examination
The credit is awarded for gaining at least 40 points out of 100 possible from any of the three credit writing assignments or obtaining at least 60 points in the sum of any combination of two credit writing assignments. The examination is written. The condition of passing the exam is to obtain a total of at least 50 points out of 100 possible, of which at least 8 points out of 20 possible must be obtained from the theoretical part. If a student has received a B to E exam, then he or she can improve the resulting mark by one grade by passing an oral examination.
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Recommended literature
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Jehlička, Vladimír. Matematika 2 : multimediální studijní opora : (videozáznamy přednášek). Pardubice: Univerzita Pardubice, 2013. ISBN 978-80-7395-576-2.
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Jehlička, Vladimír. Sbírka příkladů z Matematiky II. Pardubice: Univerzita Pardubice, 2019. ISBN 978-80-7560-202-2.
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Kolda, Stanislav. Cvičebnice z matematiky II. Pardubice: Univerzita Pardubice, 2007. ISBN 978-80-7194-932-9.
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Koudela, Libor. Matematika II. Pardubice: Univerzita Pardubice, 2018. ISBN 978-80-7560-141-4.
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Prachař, Otakar. Průvodce předmětem matematika II.. Pardubice: Univerzita Pardubice, 2007. ISBN 978-80-7194-952-7.
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Prachař, Otakar. Průvodce předmětem matematika II.. Pardubice: Univerzita Pardubice, 2007. ISBN 978-80-7395-032-3.
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Prachař, Otakar. Průvodce předmětem matematika II.. Pardubice: Univerzita Pardubice, 2008. ISBN 978-80-7395-055-2.
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