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mathematics:mathematics_ii [2018/05/09 09:26] – Tomáš Bodnár | mathematics:mathematics_ii [2019/04/24 19:23] – 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 === |
[[Tomas.Bodnar@fs.cvut.cz|Mgr. Ing. Tomáš Bodnár, Ph.D.]], Office: KN:D-303\\ | [[Tomas.Bodnar@fs.cvut.cz|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: Wednesday, 14:15 - 15:45 and Friday 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 16:00-17:30 and Friday 12:30 - 14:00. |
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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 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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== Information for tutorials == | If you have failed in the 1st test, you should solve the following exercises (from the Examples section): |
* Homework (instead of 2nd test) - examples from the //Collection of examples from Mathematics II// listed below | * {{::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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{{::double_integral.pdf|Double integral}}: 241, 254, 256, 257, 262, 275, 282, 292, 303, 307 | 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}}: 345, 346, 351, 353, 354, 355, 358, 359, 370, 371 | * {{::triple_integral.pdf|Triple integral}}: 342,348,350,352,353,354,359,365,375,384 |
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* Last test from double and tripple integral {{ :mathematics:2018_pis_ma2_2.pdf | Test}} | |
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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 === |
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__Dates of exams: Thursday 31.5., 7.6., 14.6., 21.6., 28.6. and 13.9. 2018__ | |
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//The detailed information is available in the {{ :mathematics:ma2_2018_exams.pdf |Notice of exams}} from Mathematics II in the academic year 2017/18. | |
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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}} | 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}} |
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=== Timetable: === | === Timetable: === |
{{ :mathematics:screenshot_20180227_161813.png?820 |}} | {{ :mathematics:Screenshot_20190225_122327.png?820 |}} |
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[[:predmet|<-back]] | [[:predmet|<-back]] |