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mathematics2 [2017/05/08 13:01] Tomáš Bodnármathematics2 [2017/05/08 17:47] (aktuální) – odstraněno Jan Dohnal
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-====== Mathematics II ====== 
-This course is intended for foreign students studying at our faculty and domestic students who registered it.  
-Conditions and requirements of this course are identical to the course in Czech and governed by the same rules. 
  
-=== Content: === 
-Functions of several variables - domain, limit, continuity, partial derivatives, extremes, implicit function  
-Multiple integrals - double and triple integral, Fubini's theorem, applications 
-Line integral, surface integral, Gauss theorem, potential. 
-  * {{::m2_2016_requests_a.pdf|Requests for exams}} of Mathematics II in academic year 2015/16 
- 
-=== Lecturers === 
- 
-[[Tomas.Bodnar@fs.cvut.cz|Mgr. Ing. Tomáš Bodnár, PhD.]],  Office: KN:D-303\\ 
- 
-   * lectures: Monday, 12:30 - 14:00 and Tuesday 12:30 - 14:00.  
- 
-[[tomas.neustupa@fs.cvut.cz|RNDr. Tomáš Neustupa, Ph.D.]],  Office: KN:B-214 
- 
-   * lectures: Friday 9:00 - 10:30 and 10:45 - 12:15   
- 
-=== Exams === 
-The exams from Mathematics II (level A nad B) will be organized in the same way as in Mathematics I. Thre are several necessary conditions to be fulfiled 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 has to subscribe (register) in the KOS system for the chosen date and level of the exam. (students who will be not subscribed for the exam in the 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) 
- 
-These conditions will be followed strictly, without any exceptions. 
- 
-=== Literature: === 
-  * 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 
- 
-=== 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.  
-  * {{::definit_integral.pdf|Riemann integral}} [{{::urcity_integral.pdf|Určitý integrál}}] 
-  * {{::calculus1.pdf|Calculus - part 1}} (partial derivatives, ...) [{{::definicni_obory.pdf|Diferenciální počet-část 1}}]  
-  * {{::calculus2.pdf|Calculus - part 2}} (gradient, diferential, directional derivative, etc.) [{{::diferencial.pdf|Diferenciální počet-část 2}}]  
-  * {{::implicit_function.pdf|Implicit Functions}} [{{::implicitni_funkce.pdf|Implicitní funkce}}] 
-  * {{::extrems.pdf|Extrema}} [{{:extremy_funkci.pdf|Extrémy}}] 
-  * {{:double_integral.pdf|Double integral}} [{{::dvojny_intregral.pdf|Dvojný integrál}}] 
-  * {{::triple_integral.pdf|Triple integral}} [{{::trojny_integral.pdf|Trojný 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}}] 
-  * Divergence theorem [{{::veta_gauss_ostrogradsky.pdf|Gaussova-Ostrogradského věta}}] 
- 
- 
- 
-**Web additional sources:** 
-  * [[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://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.  
- 
-[[predmet|<-back]] 
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