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--- mathematics:mathematics_ii [2018/02/27 15:25] – Tomáš Bodnár
+++ mathematics:mathematics_ii [2023/07/28 17:14] – upraveno mimo DokuWiki 127.0.0.1
@@ Řádek 1: / Řádek 1: @@
 ====== Mathematics II ======
 This course is intended for foreign students studying at our faculty and domestic students who registered for this subject in their study plan.
 Conditions and requirements for this course are almost identical to the equivalent course being held in Czech language.
@@ Řádek 7: / Řádek 9: @@
 Multiple integrals - double and triple integral, Fubini's theorem, applications
 Line integral, surface integral, Gauss theorem, potential.
-  * {{ :mathematics:ma2_2018_requirements_a.pdf | Requirements - Level A(Alpha)}} in academic year 2017/2018
+  * {{ :mathematics:ma2_2023_requirements_a.pdf | Requirements - Level A(Alpha)}} in academic year 2022/2023
-  * {{ :mathematics:ma2_2018_requirements_b.pdf | Requirements - Level B(Beta)}} in academic year 2017/2018
+  * {{ :mathematics:ma2_2023_requirements_b.pdf | Requirements - Level B(Beta)}} in academic year 2022/2023
 === Lecturers ===
-[[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\\
-   * lectures: Monday, 14:15 - 15:45 and Thursday 9:00 - 10:30.
+   * lectures: Monday, 10:45-12:15 and Thursday 9:00 - 10:30.
 [[Hynek.Reznicek@fs.cvut.cz|Mgr. Hynek Řezníček ]],  Office: KN:D-205b
-   * lectures: Tuesday 16:00-17:30 and Friday 9:00 - 10:30.
+   * lectures: Tuesday 9:00-10:30 and Friday 9:00 - 10:30.
 In the case of any problem (especially with assessments from tutorials, or with exams) contact your teacher.
@@ Řádek 24: / Řádek 27: @@
 === 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.
+[[https://marian.fsik.cvut.cz/~reznicek/2023_Ma2.html|Tasks solved in tutorials]]
+/*
+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
+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
+//It is expected that your results will be correct (compare your results with the solution in Czech before submission).//
+*/
 === Exams ===
@@ Řádek 35: / Řádek 54: @@
 These conditions will be followed strictly, without any exceptions.
+ __//Dates of exams: Friday 2.6., 9.6., 16.6., 23.6., Tuesday 27.6. and 12.9. 2023.//__
-__Dates of exams: X.Y.2018__
+/*
+* __**NEW:  The last exam from Mathematics I in the academic year 2018/2019 will take a place on Monday, June 17, 2019.**__
+*/
-//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).
+/*
-//
+The detailed information will be made available at the end of semester in the //Notice of exams// from Mathematics II for the academic year 2022/23.
+*/
+//The detailed information is available in the {{ :mathematics:ma2_2023_exams.pdf |Notice of exams}} from Mathematics II for the academic year 2022/23.//
+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: ===
   * 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_34-47.pdf |Riemann integral pages_34-47}}
+  * {{ :mathematics:pages_48-57.pdf |Double integral pages_48-56}}
+  * {{ :mathematics:pages_56-69.pdf |Triple integral pages_56-69}}
+  * {{ :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: ===
 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 52: / Řádek 95: @@
   * {{::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}}]
+  * {{::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}}]
+  * {{::surface_integral.pdf|Surface integral}} [{{::19plosny-skalar.pdf|Skalární}}] [{{::plosny_integral_vektor_pole.pdf|Vektorový}}]
   * Divergence theorem [{{::veta_gauss_ostrogradsky.pdf|Gaussova-Ostrogradského věta}}]
 **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://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.
@@ Řádek 66: / Řádek 110: @@
 === Timetable: ===
-{{ :mathematics:screenshot_20180227_161813.png?820 |}}
+{{ :mathematics:screenshot_20230227_100928.png?820 |}}
 [[:predmet|<-back]]