Obě strany předchozí revizePředchozí verzeNásledující verze | Předchozí verzeNásledující verzeObě strany příští revize |
mathematics:mathematics_ii [2018/02/27 15:25] – Tomáš Bodnár | mathematics:mathematics_ii [2020/02/25 11:27] – Tomáš Bodnár |
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Multiple integrals - double and triple integral, Fubini's theorem, applications | Multiple integrals - double and triple integral, Fubini's theorem, applications |
Line integral, surface integral, Gauss theorem, potential. | Line integral, surface integral, Gauss theorem, potential. |
* {{ :mathematics:ma2_2018_requirements_a.pdf | Requirements - Level A(Alpha)}} in academic year 2017/2018 | * {{ :mathematics:ma2_2019_requirements_a.pdf | Requirements - Level A(Alpha)}} in academic year 2018/2019 |
* {{ :mathematics:ma2_2018_requirements_b.pdf | Requirements - Level B(Beta)}} in academic year 2017/2018 | * {{ :mathematics:ma2_2019_requirements_b.pdf | Requirements - Level B(Beta)}} in academic year 2018/2019 |
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=== Lecturers === | === Lecturers === |
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[[Tomas.Bodnar@fs.cvut.cz|Mgr. Ing. Tomáš Bodnár, Ph.D.]], Office: KN:D-303\\ | [[Tomas.Bodnar@fs.cvut.cz|doc. Mgr. Ing. Tomáš Bodnár, Ph.D.]], Office: KN:D-303\\ |
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* lectures: Monday, 14:15 - 15:45 and Thursday 9:00 - 10:30. | * lectures: Tuesday, 14:15 - 15:45 and Thursday 9:00 - 10:30. |
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[[Hynek.Reznicek@fs.cvut.cz|Mgr. Hynek Řezníček ]], Office: KN:D-205b | [[Hynek.Reznicek@fs.cvut.cz|Mgr. Hynek Řezníček ]], Office: KN:D-205b |
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* lectures: Tuesday 16:00-17:30 and Friday 9:00 - 10:30. | * lectures: Wednesday 17:45-19:15 and Friday 9:00 - 10:30. |
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In the case of any problem (especially with assessments from tutorials, or with exams) contact your teacher. | In the case of any problem (especially with assessments from tutorials, or with exams) contact your teacher. |
=== Tutorials, assessments === | === Tutorials, assessments === |
//Tutorials are obligatory.// Assessment from tutorials (written in the study record) confirms //student's presence and activity// at the tutorials and elaboration of homework and tests. 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 from tutorials obtained in previous years are not accepted//. Student has to obtain the assessment again. 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. | //Tutorials are obligatory.// Assessment from tutorials (written in the study record) confirms //student's presence and activity// at the tutorials and elaboration of homework and tests. 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 from tutorials obtained in previous years are not accepted//. Student has to obtain the assessment again. 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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| If you have failed in the 1st test, you should solve the following exercises (from the Examples section): |
| * {{::calculus1.pdf|Calculus - part 1}}: 42,46,49,60,66,71,78,82,87,90 |
| * {{::calculus2.pdf|Calculus - part 2}}: 92,96,102,103,108,131,132,136,151,159 |
| * {{::implicit_function.pdf|Implicit Functions}}: 163,166,167,168,180 |
| * {{::extrems.pdf|Extrema}}: 197,199,216,218,229 |
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| If you have failed in the 2nd test, you should solve the following exercises (from the Examples section): |
| * {{::double_integral.pdf|Double integral}}: 242,245,246,247,248,249,250,252,254,257,262,270,279,292,310 |
| * {{::triple_integral.pdf|Triple integral}}: 342,348,350,352,353,354,359,365,375,384 |
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| //It is expected that your results will be correct (compare your results with the solution in Czech before submission).// |
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=== Exams === | === Exams === |
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: Thursday 30.5., 6.6., 13.6., 20.6., 27.6., and 12. 9. 2019.//__ |
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| /* |
| * __**NEW: The last exam from Mathematics I in the academic year 2018/2019 will take a place on Monday, June 17, 2019.**__ |
| */ |
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__Dates of exams: X.Y.2018__ | //The detailed information is available in the {{ :mathematics:ma2_2019_exams.pdf |Notice of exams}} from Mathematics II for the academic year 2018/19.// |
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//The detailed information will be available in the {{ :mathematics:ma2_2017_exams.pdf |Notice of exams}} from Mathematics II in the academic year 2017/18 (to be updated in May 2018). | Sample exam tests: {{ :mathematics:ma2_exam_1_en.pdf |Exam 1}}, {{ :mathematics:ma2_exam_2_en.pdf |Exam 2}}, {{ :mathematics:ma2_exam_3_en.pdf |Exam 3}} |
// | |
=== Literature: === | === Literature: === |
* Neustupa, J., Kračmar S.: Mathematics II, CTU Publishing House, Prague, 1996, | * Neustupa, J., Kračmar S.: Mathematics II, CTU Publishing House, Prague, 1996, |
* {{::implicit_function.pdf|Implicit Functions}} [{{::implicitni_funkce.pdf|Implicitní funkce}}] | * {{::implicit_function.pdf|Implicit Functions}} [{{::implicitni_funkce.pdf|Implicitní funkce}}] |
* {{::extrems.pdf|Extrema}} [{{:extremy_funkci.pdf|Extrémy}}] | * {{::extrems.pdf|Extrema}} [{{:extremy_funkci.pdf|Extrémy}}] |
* {{:double_integral.pdf|Double integral}} [{{::dvojny_intregral.pdf|Dvojný integrál}}] | * {{::double_integral.pdf|Double integral}} [{{::dvojny_intregral.pdf|Dvojný integrál}}] |
* {{::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}}] |
**Web additional sources:** | **Web additional sources:** |
* 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/]]. |
* [[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. |
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=== Timetable: === | === Timetable: === |
{{ :mathematics:screenshot_20180227_161813.png?820 |}} | {{ :mathematics:Screenshot_20200225_122429.png?820 |}} |
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[[:predmet|<-back]] | [[:predmet|<-back]] |