Uživatelské nástroje

Nástroje pro tento web


mathematics:mathematics_ii

Rozdíly

Zde můžete vidět rozdíly mezi vybranou verzí a aktuální verzí dané stránky.

Odkaz na výstup diff

Obě strany předchozí revize Předchozí verze
Následující verze
Předchozí verze
Poslední revize Obě strany příští revize
mathematics:mathematics_ii [2020/03/29 18:25]
Tomáš Bodnár
mathematics:mathematics_ii [2021/05/16 15:29]
Tomáš Bodnár
Řádek 5: Řádek 5:
   * The primary communication channel is the email. We will contact you via your official email you have in KOS system. You may also use our email to contact us with anything related to our courses (asking questions, requesting extra study material, sending your completed homeworks).   * The primary communication channel is the email. We will contact you via your official email you have in KOS system. You may also use our email to contact us with anything related to our courses (asking questions, requesting extra study material, sending your completed homeworks).
   * All the essential information and course materials will be published at this webpage. You will be notified of changes.   * All the essential information and course materials will be published at this webpage. You will be notified of changes.
-  * A new, emergency communication channel for each course (subject) is set up at the university using [[https://teams.microsoft.com/l/team/19%3a9faa9277f4524373806b921e2a43651e%40thread.tacv2/conversations?groupId=49fbdc73-45c5-44a4-9bac-4f27c645b22f&tenantId=f345c406-5268-43b0-b19f-5862fa6833f8 | Microsoft Teams]] platform. It can be used for //online chat-like communication with teachers during the usual course hours// according to standard schedule of the subject.+  * A new, emergency communication channel for each course (subject) is set up at the university using [[https://teams.microsoft.com/l/team/19%3a714b09bc0d6a464e9af37957d533b42d%40thread.tacv2/conversations?groupId=8c0f32b9-198a-4c06-9f27-18be24870b1b&tenantId=f345c406-5268-43b0-b19f-5862fa6833f8 | Microsoft Teams]] platform. It can be used for //online chat-like communication with teachers during the usual course hours// according to standard schedule of the subject.
  
-**The [[https://teams.microsoft.com/l/team/19%3a9faa9277f4524373806b921e2a43651e%40thread.tacv2/conversations?groupId=49fbdc73-45c5-44a4-9bac-4f27c645b22f&tenantId=f345c406-5268-43b0-b19f-5862fa6833f8 | Microsoft Team]] was created, for online consultations. Textbook material for implicit functions, Riemann, double and triple integral was added to the webpage.**+/* 
 +The [[https://teams.microsoft.com/l/team/19%3a714b09bc0d6a464e9af37957d533b42d%40thread.tacv2/conversations?groupId=8c0f32b9-198a-4c06-9f27-18be24870b1b&tenantId=f345c406-5268-43b0-b19f-5862fa6833f8 | Microsoft Team]] was created, for online consultations.  
 +*/
  
 +/*
 +Textbook material for implicit functions, Riemann, double, triple, line and surface integral, together with potential fields chapter was added to the webpage.
 +*/
  
 General study advices and rules for the emergency online study regime can be found in  General study advices and rules for the emergency online study regime can be found in 
 {{ :mathematics:ma2en_study_advices.pdf | Study advices}} {{ :mathematics:ma2en_study_advices.pdf | Study advices}}
  
-== Essential weekly information for regular study ==+=== Essential weekly information for regular study ==
 + 
 +  * //Week:// February 22 - February 28, 2021 - //Topic:// Functions of multiple variables {{ :mathematics:ma2en_multiple_variables.pdf | Functions of multiple variables}} 
 +  * //Week:// March 1 - March 7, 2021 - //Topic:// Partial derivatives, differentials  {{ :mathematics:ma2en_partial_derivatives.pdf | Partial derivatives, differentials}} 
 +  * //Week:// March 8 - March 14, 2021 - //Topic:// Implicit functions  {{ :mathematics:ma2en_implicit_functions.pdf | Implicit functions}} 
 +  * //Week:// March 15 - March 21, 2021 - //Topic:// Extrema  {{ :mathematics:ma2en_extrema.pdf | Extrema}} 
 +  * //Week:// March 22 - March 28, 2021 - //Topic:// Double integral  {{ :mathematics:ma2en_double_integral.pdf | Double integral}} 
 +  * //Week:// April 12 - April 18, 2021 - //Topic:// Triple integral  {{ :mathematics:ma2en_triple_integral.pdf | Triple integral}} 
 +  * //Week:// April 19 - April 25, 2021 - //Topic:// Line integral  {{ :mathematics:ma2en_line_integral.pdf | Line integral}} 
 +  * //Week:// April 26 - May 2, 2021 - //Topic:// Potential fields  {{ :mathematics:ma2en_potential_fields.pdf | Potential fields}} 
 +  * //Week:// May 3 - May 9, 2021 - //Topic:// Surface integral  {{ :mathematics:ma2en_surface_integral.pdf | Surface integral}} 
 +  * //Week:// May 10 - May 16, 2021 - //Topic:// Integral theorems {{ :mathematics:ma2en_integral_theorems.pdf | Integral theorems}} 
 + 
 +=== Assessment requirements: === 
 + 
 +**The delivery of all sample exams (completely and correctly solved) is necessary condition for obtaining the assessment from tutorials.** Sample exam tests: {{ :mathematics:ma2_exam_1n_en.pdf |Exam 1}}, {{ :mathematics:ma2_exam_2n_en.pdf |Exam 2}}, {{ :mathematics:ma2_exam_3n_en.pdf |Exam 3}}.  
 + 
 +**DEADLINE: May 21, 2021 for the third part of the homework  
 +(5th and 6th exercise from Exam 1, Exam 2 and Exam 3,  
 +and exercise 3 from Exam 1A and exercise 3 from Exam 3A)** 
 + 
 +//Students who have passed in the first part of the homework should submit the second part by email to [[Hynek.Reznicek@fs.cvut.cz|Mgr. Hynek Řezníček ]]. All the other students (who failed in the first part) should submit the second part by email directly to [[Tomas.Bodnar@fs.cvut.cz|doc. Mgr. Ing. Tomáš Bodnár, Ph.D.]]. // 
 + 
 + 
 +The homeworks solutions will be delivered in three parts (by chapters). The deadlines will be set during the semester by the tutorials teacher. __Students who will fail in any of the three parts of the homework will not obtain the assessment from tutorials (and can't participate in the exam).__ 
 + 
 +__Any homeworks that will either be incorrect, evidently just copied from someone else, or submitted after the deadline might be rejected. Please be careful, pay attention to your homework and deliver it in time, correctly solved and written.__
  
-  * //Week:// March 9 - March 15, 2020 - //Topic:// Implicit functions {{ :mathematics:ma2en_implicit_functions.pdf | Implicit functions}} 
-  * //Week:// March 16 - March 22, 2020 - //Topic:// Double integral {{ :mathematics:ma2en_double_integral.pdf | Double integral}} 
-  * //Week:// March 23 - March 29, 2020 - //Topic:// Triple integral {{ :mathematics:ma2en_triple_integral.pdf | Triple integral}} 
  
-=== NEW Timetable (since March 232020): ==+For additional explanationclarification and extra material contact the Lecture/Tutorial teacher by email or the [[https://teams.microsoft.com/l/team/19%3a9faa9277f4524373806b921e2a43651e%40thread.tacv2/conversations?groupId=49fbdc73-45c5-44a4-9bac-4f27c645b22f&tenantId=f345c406-5268-43b0-b19f-5862fa6833f8 | Microsoft Teams]] platform for online consultation. You can post your questions and request anytime. The teachers will respond as quickly as possible. For //online live chat use the standard course hours// according to usual schedule. Ask for other extra consultations if needed. We will do our best to help you.
-Yellow: Lectures,   Green: Tutorials +
-{{ :mathematics:screenshot_20200322_150659.png?820 |}}+
  
-For additional explanation, clarification and extra material contact the Lecture/Tutorial teacher by email or the [[https://teams.microsoft.com/l/team/19%3a9faa9277f4524373806b921e2a43651e%40thread.tacv2/conversations?groupId=49fbdc73-45c5-44a4-9bac-4f27c645b22f&tenantId=f345c406-5268-43b0-b19f-5862fa6833f8 | Microsoft Team]] platform for online consultation. You can post your questions and request anytime. The teachers will respond as quickly as possible. For //online live chat use the standard course hours// according to usual schedule. Ask for other extra consultations if needed. We will do our best to help you. 
 ---- ----
  
Řádek 33: Řádek 58:
 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_2020_requirements_a.pdf | Requirements - Level A(Alpha)}} in academic year 2019/2020 +  * {{ :mathematics:ma2_2021_requirements_a.pdf | Requirements - Level A(Alpha)}} in academic year 2020/2021 
-  * {{ :mathematics:ma2_2020_requirements_b.pdf | Requirements - Level B(Beta)}} in academic year 2019/2020+  * {{ :mathematics:ma2_2021_requirements_b.pdf | Requirements - Level B(Beta)}} in academic year 2020/2021
      
  
Řádek 41: Řádek 66:
 [[Tomas.Bodnar@fs.cvut.cz|doc. 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\\
  
-   * lectures: Tuesday14:15 - 15:45 and Thursday 9:00 10:30+   * lectures: Monday10:45 12:15 and Friday 12:30 14:00
  
 [[Hynek.Reznicek@fs.cvut.cz|Mgr. Hynek Řezníček ]],  Office: KN:D-205b [[Hynek.Reznicek@fs.cvut.cz|Mgr. Hynek Řezníček ]],  Office: KN:D-205b
  
-   * lectures: Wednesday 17:45-19:15 and Friday 9:00 - 10:30.  +   * lectures: Wednesday 16:00-17:30 and Friday 16:00 - 17:30.  
  
 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. 
Řádek 88: Řádek 113:
  
  
-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_1n_en.pdf |Exam 1}}, {{ :mathematics:ma2_exam_2n_en.pdf |Exam 2}}, {{ :mathematics:ma2_exam_3n_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, 
 +  * Finney, R. L., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994
 +
 +  * {{ :mathematics:pages_01-23.pdf |Functions of multiple variables pages_01-23}}
   * {{ :mathematics:pages_24-33.pdf |Implicit functions pages_24-33}}   * {{ :mathematics:pages_24-33.pdf |Implicit functions pages_24-33}}
   * {{ :mathematics:pages_34-47.pdf |Riemann integral pages_34-47}}   * {{ :mathematics:pages_34-47.pdf |Riemann integral pages_34-47}}
   * {{ :mathematics:pages_48-57.pdf |Double integral pages_48-56}}   * {{ :mathematics:pages_48-57.pdf |Double integral pages_48-56}}
   * {{ :mathematics:pages_56-69.pdf |Triple integral pages_56-69}}   * {{ :mathematics:pages_56-69.pdf |Triple integral pages_56-69}}
-  * Finney, RL., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994+  * {{ :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}}
  
 +/*
 +*/
 === 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. 
Řádek 107: Řádek 139:
   * {{::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}} [{{::plosny_integral_skalarni_funkce.pdf|Plošný integrál}}]+  * {{::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}}]
  
Řádek 119: Řádek 151:
  
 === Timetable: === === Timetable: ===
-{{ :mathematics:Screenshot_20200225_122429.png?820 |}}+{{ :mathematics:schedule_ma2_2021.png?820 |}}
  
 [[:predmet|<-back]] [[:predmet|<-back]]
/data/www/mat.nipax.cz/data/pages/mathematics/mathematics_ii.txt · Poslední úprava: 2021/05/31 10:08 autor: Tomáš Bodnár