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mathematics:mathematics_ii [2021/05/10 08:13] – Tomáš Bodnármathematics:mathematics_ii [2025/02/15 18:03] (aktuální) – Tomáš Bodnár
Řádek 1: Řádek 1:
 ====== Mathematics II ====== ====== Mathematics II ======
  
-__**Due to coronavirus quarantine measures, the courses of Mathematics II will be held temporarily at distance, using electronic communication only.**__ 
-=== Virus teaching regime: === 
-  * 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. 
-  * 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%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  
-{{ :mathematics:ma2en_study_advices.pdf | Study advices}} 
- 
-=== 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: April 26, 2021 for the second part of the homework  
-(3rd and 4th exercise from Exam 1, Exam 2 and Exam 3,  
-except 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.__ 
- 
- 
-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 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. 
- 
----- 
  
 This course is intended for foreign students studying at our faculty and domestic students who registered for this subject in their study plan.  This course is intended for foreign students studying at our faculty and domestic students who registered for this subject in their study plan. 
Řádek 58: Řádek 9:
 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_2021_requirements_a.pdf | Requirements - Level A(Alpha)}} in academic year 2020/2021 +  * {{ :mathematics:ma2_2025_requirements.pdf | Requirements}} in academic year 2024/2025 
-  * {{ :mathematics:ma2_2021_requirements_b.pdf | Requirements - Level B(Beta)}} in academic year 2020/2021+  
      
  
Řádek 66: Řádek 17:
 [[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: Monday, 10:45 - 12:15 and Friday 12:30 - 14:00. +   * lectures: Monday, 14:15-15:45 and Wednesday 14:15 - 15:45. 
  
 [[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 16:00-17:30 and Friday 16:00 - 17:30.  +   * lectures: Tuesday 16:00-17:30 and Thursday 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 76: Řádek 27:
 === 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.
 +
 +[[https://users.fs.cvut.cz/hynek.reznicek/2024_Ma2.html|Tasks solved in tutorials]]
  
 /*  /* 
Řádek 92: Řádek 45:
  
 === Exams === === Exams ===
-The exams from Mathematics II (level A and B) will be organized in the same way as in Mathematics I. +The exams from Mathematics II will be organized in the same way as in Mathematics I. 
 There are several necessary conditions to be fulfilled by students in order to be admitted to the exam: There are several necessary conditions to be fulfilled by students in order to be admitted to the exam:
   * Student must have a //valid assessment// from tutorials registered in the electronic system KOS. (students without valid assessment can't subscribe for the exam)   * Student must have a //valid assessment// from tutorials registered in the electronic system KOS. (students without valid assessment can't subscribe for the exam)
-  * Student has to //subscribe (register) in the [[https://kos.is.cvut.cz/kos/logout.do|KOS]]// system for the chosen date and level of the exam. (students who will be not subscribed for the exam in the [[https://kos.is.cvut.cz/kos/logout.do|KOS]] system can't participate in the exam)+  * Student has to //subscribe (register) in the [[https://www.kos.cvut.cz/|KOS]]// system for the chosen date of the exam. (students who will be not subscribed for the exam in the [[https://www.kos.cvut.cz/|KOS]] system can't participate in the exam)
   * Student should come to the exam //in time//, i.e. he/she should be present in the examination room at least 10 minutes before the official start of the exam. (students who will come late, will be not allowed to participate in the exam)   * Student should come to the exam //in time//, i.e. he/she should be present in the examination room at least 10 minutes before the official start of the exam. (students who will come late, will be not allowed to participate in the exam)
   * Student has to bring his/her //Student Identification Card//. (students will be not allowed to participate in the exam without presenting this card)    * Student has to bring his/her //Student Identification Card//. (students will be not allowed to participate in the exam without presenting this card) 
Řádek 101: Řádek 54:
 These conditions will be followed strictly, without any exceptions.  These conditions will be followed strictly, without any exceptions. 
  
-/* __//Dates of exams: Thursday 30.5., 6.6., 13.6., 20.6., 27.6., and 12. 9. 2019.//__ */+/* 
 + __//Dates of exams: Thursday 30.5., 6.6., 20.6., 27.6. and 5.9. 2024.//__  
 +*/
  
 /* /*
Řádek 107: Řádek 62:
 */ */
  
-The detailed information will be made available at the end of semester in the //Notice of exams// from Mathematics II for the academic year 2019/20.  +/* 
- +The detailed information will be made available at the end of semester in the //Notice of exams// from Mathematics II for the academic year 2023/24.  
-/* //The detailed information is available in the {{ :mathematics:ma2_2019_exams.pdf |Notice of exams}} from Mathematics II for the academic year 2018/19.// */+*/
  
 +/*
 +//The detailed information is available in the {{ :mathematics:ma2_2024_exams.pdf |Notice of exams}} from Mathematics II for the academic year 2023/24.// 
 +*/
  
  
Řádek 117: Řádek 75:
   * 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   * 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_01-23.pdf |Functions of multiple variables pages_01-23}}
Řádek 127: Řádek 88:
   * {{ :mathematics:pages_104-118.pdf |Potential and solenoidal fields pages_104-118}}   * {{ :mathematics:pages_104-118.pdf |Potential and solenoidal fields pages_104-118}}
  
-/* 
 */ */
 === Examples: === === Examples: ===
Řádek 151: Řádek 111:
  
 === Timetable: === === Timetable: ===
-{{ :mathematics:schedule_ma2_2021.png?820 |}}+{{ :mathematics:screenshot_20250215_190129.png?1301 |}}
  
 [[:predmet|<-back]] [[:predmet|<-back]]
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