| Obě strany předchozí revizePředchozí verzeNásledující verze | Předchozí verze |
| mathematics:mathematics_ii [2026/02/13 12:44] – Tomáš Bodnár | mathematics:mathematics_ii [2026/04/14 13:47] (aktuální) – Tomáš Bodnár |
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| * lectures: Monday 12:30-14:00 and Wednesday 14:15 - 15:45. | * lectures: Monday 12:30-14:00 and Wednesday 14:15 - 15:45. |
| * tutorials: Thursday 10:45 - 12:15 and Friday 10:45 - 12:15. | * tutorials: Thursday 10:45 - 12:15 and Friday 10:45 - 12:15. |
| | * seminar: Wednesday 17:00-19:00 Room: KN:D-105 |
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| [[Anna.Lancmanova@fs.cvut.cz|Ing. Anna Lancmanová]], Office: KN:D-305a | [[Anna.Lancmanova@fs.cvut.cz|Ing. Anna Lancmanová]], Office: KN:D-305a |
| Assessment is a necessary condition for the exam. (i.e. student can make the exam only with the assessment written in the study record.) The assessments are written in the last semestral week, not later than one week after. Exceptions are possible only with the explicit agreement of the chair of the institute. | Assessment is a necessary condition for the exam. (i.e. student can make the exam only with the assessment written in the study record.) The assessments are written in the last semestral week, not later than one week after. Exceptions are possible only with the explicit agreement of the chair of the institute. |
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| [[https://users.fs.cvut.cz/hynek.reznicek/2024_Ma2.html|Tasks solved in tutorials (in 2025)]] | /* |
| | * {{ :mathematics:ma2_en_exercises_part_1.pdf | Exercises from Textbook - Part 1}} |
| | */ |
| | * [[https://users.fs.cvut.cz/hynek.reznicek/2024_Ma2.html|Tasks solved in tutorials (in 2025)]] |
| | * [[https://users.fs.cvut.cz/anna.lancmanova/Ma2en2026.html|Tutorial materials (2026) - A. Lancmanova]] |
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| /* | /* |
| These conditions will be followed strictly, without any exceptions. | These conditions will be followed strictly, without any exceptions. |
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| /* | |
| __//Dates of exams: Wednesday 28.5., 4.6., 11.6., 18.6., 25.6., 10. 9. 2025, and Friday 30.5., 6.6., 13.6., 20.6., and 27.6. //__ | __//Dates of exams: Monday 25.5., 1.6., 8.6., 15.6., 22.6., 2026, and Thursday 28.5., 4.6., 11.6., 18.6., 25.6. and 10.9. 2026//__ |
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| */ | */ |
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| /* | |
| //The detailed information is available in the {{ :mathematics:ma2_2025_exams.pdf |Notice of exams}} from Mathematics II for the academic year 2024/25.// | //The detailed information is available in the {{ :mathematics:ma2_2026_exams.pdf |Notice of exams}} from Mathematics II for the academic year 2025/26.// |
| */ | |
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| * Neustupa, J., Kračmar S.: Mathematics II, CTU Publishing House, Prague, 1996, | * Neustupa, J., Kračmar S.: Mathematics II, CTU Publishing House, Prague, 1996, |
| * {{ :mathematics:ma2en_textbook_scan_old.pdf |Textbook scan (English, old version)}}, {{ :mathematics:scr_m2_15.pdf |Textbook (Czech, new version)}} | * {{ :mathematics:ma2en_textbook_scan_old.pdf |Textbook scan (English, old version)}}, {{ :mathematics:scr_m2_15.pdf |Textbook (Czech, new version)}} |
| | * {{ :mathematics:ma2_en_textbook.pdf | NEW Textbook (English, experimental version)}} |
| | * {{ :mathematics:ma2_en_exercises.pdf | NEW Exercises (English, experimental version)}} |
| * Finney, R. L., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994 | * Finney, R. L., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994 |
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| /* | |
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| * {{ :mathematics:pages_01-23.pdf |Functions of multiple variables pages_01-23}} | |
| * {{ :mathematics:pages_24-33.pdf |Implicit functions pages_24-33}} | |
| * {{ :mathematics:pages_34-47.pdf |Riemann integral pages_34-47}} | |
| * {{ :mathematics:pages_48-57.pdf |Double integral pages_48-56}} | |
| * {{ :mathematics:pages_56-69.pdf |Triple integral pages_56-69}} | |
| * {{ :mathematics:pages_70-83.pdf |Line integral pages_70-83}} | |
| * {{ :mathematics:pages_84-103.pdf |Surface integral pages_84-103}} | |
| * {{ :mathematics:pages_104-118.pdf |Potential and solenoidal fields pages_104-118}} | |
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| */ | |
| === Examples: === | === Examples: === |
| The //Collection of examples from Mathematics II// written in Czech by authors E. Brožíková, M. Kittlerová and F. Mráz (2016) contains both examples and their solutions. Here you find several parts translated in English. The examples in English have the same numbering but they are without solutions (corresponding solution you can find in the Czech version, which is in the brackets). English translations will be added gradually. By the star (*) are denoted the examples, which go beyond the requirements of the exam this year. | The //Collection of examples from Mathematics II// written in Czech by authors E. Brožíková, M. Kittlerová and F. Mráz (2016) contains both examples and their solutions. Here you find several parts translated in English. The examples in English have the same numbering but they are without solutions (corresponding solution you can find in the Czech version, which is in the brackets). English translations will be added gradually. By the star (*) are denoted the examples, which go beyond the requirements of the exam this year. |
| | /* |
| * {{::definit_integral.pdf|Riemann integral}} [{{::urcity_integral.pdf|Určitý integrál}}] | * {{::definit_integral.pdf|Riemann integral}} [{{::urcity_integral.pdf|Určitý integrál}}] |
| * {{::calculus1.pdf|Calculus - part 1}} (partial derivatives, ...) [{{::definicni_obory.pdf|Diferenciální počet-část 1}}] | * {{::calculus1.pdf|Calculus - part 1}} (partial derivatives, ...) [{{::definicni_obory.pdf|Diferenciální počet-část 1}}] |
| * {{::triple_integral.pdf|Triple integral}} [{{::trojny_integral.pdf|Trojný integrál}}] | * {{::triple_integral.pdf|Triple integral}} [{{::trojny_integral.pdf|Trojný integrál}}] |
| * {{::line_integral_1.pdf|Line integral}} [{{::krivkovy_integral_komplet.pdf|Křivkový integrál}}] | * {{::line_integral_1.pdf|Line integral}} [{{::krivkovy_integral_komplet.pdf|Křivkový integrál}}] |
| | */ |
| * {{::surface_integral.pdf|Surface integral}} [{{::19plosny-skalar.pdf|Skalární}}] [{{::plosny_integral_vektor_pole.pdf|Vektorový}}] | * {{::surface_integral.pdf|Surface integral}} [{{::19plosny-skalar.pdf|Skalární}}] [{{::plosny_integral_vektor_pole.pdf|Vektorový}}] |
| * Divergence theorem [{{::veta_gauss_ostrogradsky.pdf|Gaussova-Ostrogradského věta}}] | * Divergence theorem [{{::veta_gauss_ostrogradsky.pdf|Gaussova-Ostrogradského věta}}] |
| * **Keisler, H. J.: [[http://www.math.wisc.edu/~keisler/calc.html|Elementary Calculus]]: An Infinitesimal Approach, 2nd edition, Prindle, Weber & Schmidt, 1986.** | * **Keisler, H. J.: [[http://www.math.wisc.edu/~keisler/calc.html|Elementary Calculus]]: An Infinitesimal Approach, 2nd edition, Prindle, Weber & Schmidt, 1986.** |
| * **Calculus [[https://cnx.org/contents/i4nRcikn@7.1:H2TLb2-S@4/Introduction|Volume I.]], [[https://cnx.org/contents/HTmjSAcf@6.1:rrzms6rP@6/Introduction|Volume II.]], [[https://cnx.org/contents/oxzXkyFi@6.1:72YaCFgv@5/Introduction|Volume III.]], provided by [[https://cnx.org/|https://cnx.org/]].** | * **Calculus [[https://cnx.org/contents/i4nRcikn@7.1:H2TLb2-S@4/Introduction|Volume I.]], [[https://cnx.org/contents/HTmjSAcf@6.1:rrzms6rP@6/Introduction|Volume II.]], [[https://cnx.org/contents/oxzXkyFi@6.1:72YaCFgv@5/Introduction|Volume III.]], provided by [[https://cnx.org/|https://cnx.org/]].** |
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| | /* |
| * [[http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx|Paul's Online Math Notes]] have gotten the notes/tutorials for Algebra, Calculus I, Calculus II, Calculus III and Differential Equations class online. | * [[http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx|Paul's Online Math Notes]] have gotten the notes/tutorials for Algebra, Calculus I, Calculus II, Calculus III and Differential Equations class online. |
| * [[http://patrickjmt.com|Just Math Tutoring]] is a web site of Patrick from Vanderbilt University, who provide clear and thorough explanations, and to present them in an environment in which the student is comfortable. | * [[http://patrickjmt.com|Just Math Tutoring]] is a web site of Patrick from Vanderbilt University, who provide clear and thorough explanations, and to present them in an environment in which the student is comfortable. |
| * [[http://mathinsight.org|The Math Insight]] web site is a collection of pages and applets designed to shed light on concepts underlying a few topics in mathematics (see [[http://mathinsight.org/index/general|Index]]) | * [[http://mathinsight.org|The Math Insight]] web site is a collection of pages and applets designed to shed light on concepts underlying a few topics in mathematics (see [[http://mathinsight.org/index/general|Index]]) |
| * [[http://mathispower4u.yolasite.com|Mathispoewr4u]] tutorials. This site provides over 3,500 free mini-lessons and example videos with no ads. The videos are organized by course and topic. | * [[http://mathispower4u.yolasite.com|Mathispoewr4u]] tutorials. This site provides over 3,500 free mini-lessons and example videos with no ads. The videos are organized by course and topic. |
| | */ |
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| === Timetable: === | === Timetable: === |