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mathematics:mathematics_i [2020/10/11 13:49]
Tomáš Bodnár
mathematics:mathematics_i [2021/12/16 11:58] (aktuální)
Tomáš Bodnár
Řádek 1: Řádek 1:
 ====== Mathematics I ====== ====== Mathematics I ======
 This course is intended for foreign students studying at our faculty and domestic students who registered it.  This course is intended for foreign students studying at our faculty and domestic students who registered it. 
 +/*
 __**Due to coronavirus quarantine measures, the courses of Mathematics I will be held temporarily at distance, using electronic communication only.**__ __**Due to coronavirus quarantine measures, the courses of Mathematics I will be held temporarily at distance, using electronic communication only.**__
 === Virus teaching regime: === === Virus teaching regime: ===
Řádek 10: Řádek 10:
 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:ma1en_study_advices.pdf | Study advices}} {{ :mathematics:ma1en_study_advices.pdf | Study advices}}
 +
 +===== Exams =====
 +
 +** Regular exam is scheduled for __January 21, 2021__. Students who will fail can retake the exam one week later on __January 28, 2021__. Both exams are online, based on the rules set in 
 +{{:mathematics:exams_ma1en_update.pdf|basic rules}} and {{:mathematics:exam_ma1en_rules.pdf|detailed instructions}}. In case you need some further information or explanation contact us immediately by email. **
  
  
Řádek 17: Řádek 22:
   * //Week:// October 5 - October 11, 2020 - //Topic:// Matrices and systems of equations {{ :mathematics:ma1en_matrices_and_systems.pdf | Matrices and systems}}   * //Week:// October 5 - October 11, 2020 - //Topic:// Matrices and systems of equations {{ :mathematics:ma1en_matrices_and_systems.pdf | Matrices and systems}}
   * //Week:// October 12 - October 18, 2020 - //Topic:// Determinants, eigenvalues and inverse matrices {{ :mathematics:ma1en_determinants_and_eigenvalues.pdf | Determinants and eigenvalues}}   * //Week:// October 12 - October 18, 2020 - //Topic:// Determinants, eigenvalues and inverse matrices {{ :mathematics:ma1en_determinants_and_eigenvalues.pdf | Determinants and eigenvalues}}
 +  * //Week:// October 19 - October 25, 2020 - //Topic:// Sequences and functions {{ :mathematics:ma1en_sequences_and_functions.pdf | Sequences and functions}}
 +  * //Week:// October 26 - November 1, 2020 - //Topic:// Functions and limits {{ :mathematics:ma1en_functions_and_limits.pdf | Functions and limits}}
 +  * //Week:// November 2 - November 8, 2020 - //Topic:// Continuity and derivatives {{ :mathematics:ma1en_continuity_and_derivatives.pdf | Continuity and derivatives}}
 +  * //Week:// November 9 - November 15, 2020 - //Topic:// Derivatives and applications {{ :mathematics:ma1en_derivatives_and_applications.pdf | Derivatives and applications}}
 +  * //Week:// November 16 - November 22, 2020 - //Topic:// Derivatives and functions {{ :mathematics:ma1en_derivatives_and_functions.pdf | Derivatives and functions}}
 +  * //Week:// November 23 - November 29, 2020 - //Topic:// Taylor's polynomial and antiderivatives {{ :mathematics:ma1en_taylor_and_antiderivatives.pdf | Taylor's polynomial and antiderivatives}}
 +  * //Week:// November 30 - December 6, 2020 - //Topic:// Indefinite integral {{ :mathematics:ma1en_indefinite_integral.pdf | Indefinite integral}}
 +  * //Week:// December 7 - December 13, 2020 - //Topic:// Definite integral {{ :mathematics:ma1en_definite_integral.pdf | Definite integral}}
 +  * //Week:// December 14 - December 20, 2020 - //Topic:// Improper integral {{ :mathematics:ma1en_improper_integral.pdf | Improper integral}}
  
 === Assessment requirements: === === Assessment requirements: ===
Řádek 22: Řádek 36:
 The delivery of all sample exams (completely and correctly solved) is necessary condition for obtaining the assessment from tutorials. Sample exam tests: {{ :mathematics:ma1_exam_1_en.pdf |Exam 1}}, {{ :mathematics:ma1_exam_2_en.pdf |Exam 2}}, {{ :mathematics:ma1_exam_3_en.pdf |Exam 3}}  The delivery of all sample exams (completely and correctly solved) is necessary condition for obtaining the assessment from tutorials. Sample exam tests: {{ :mathematics:ma1_exam_1_en.pdf |Exam 1}}, {{ :mathematics:ma1_exam_2_en.pdf |Exam 2}}, {{ :mathematics:ma1_exam_3_en.pdf |Exam 3}} 
  
-**DEADLINE: October 30, 2020 For the first part of the homework  + 
-(1st exercise from Exam11st and 2nd exercise from Exam 2 and Exam 3).**+**EXTRA HOMEWORK II DEADLINE: December 20, 2020 - Exceptional last chance for students who have failed in the second part of the long term homework. Solve exercises 4, 6, 8, 11, 20, 25 from the part II, Differential calculus of  
 +{{::m1_probl_from_prev_exams.pdf|Selected problems}} from the exam tests in previous years.** 
 + 
 + 
 +**DEADLINE: January 4, 2021 - For the third part of the homework  
 +(exercises 5from the Exam 1, Exam 2 and Exam 3).** 
  
 __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.__  __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.__ 
  
 +=== Time schedule for the end of semester ===
 +  * //January 4, 2021// – __Delivery of the third part of the homework__
 +  * //January 8, 2021// – Delivery of __last corrections__ of the last homework
 +  * //January 10, 2021// – Assessment __final decision__
 +
 +**Optional open video consultations/seminars** (on topics of your choice from Mathematics I)
 +  * //January 4, 2021// – 12:30 – 14:00 open consultation by T. Bodnár
 +  * //January 5, 2021// – 16:00 – 17:30 open consultation by H. Řezníček
 +*/
 +
 +
 +/*
 //If you have some part of the assessment homework done, please scan it to PDF and send it to us by email.  //If you have some part of the assessment homework done, please scan it to PDF and send it to us by email. 
 // //
 +*/
  
  
Řádek 35: Řádek 67:
 Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E_3 - straight lines and planes. Calculus of functions of single variable - limit, continuity, derivative, extrema, behaviour of a function, indefinite integral, methods of integration, definite integral. Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E_3 - straight lines and planes. Calculus of functions of single variable - limit, continuity, derivative, extrema, behaviour of a function, indefinite integral, methods of integration, definite integral.
  
-  * {{ :mathematics:ma1_2020_requirements_a.pdf|Plan of lectures (level Alpha)}} in academic year 2020/21 +  * {{ :mathematics:ma1_2021_requirements_a.pdf|Plan of lectures (level Alpha)}} in academic year 2021/22 
-  * {{ :mathematics:ma1_2020_requirements_b.pdf |Plan of lectures (level Beta)}} in academic year 2020/21+  * {{ :mathematics:ma1_2021_requirements_b.pdf |Plan of lectures (level Beta)}} in academic year 2021/22
  
 === Lecturers === === Lecturers ===
  
 [[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, 12:30 14:00 and Friday 10:45 12:15.+  * lectures: Monday, 14:15 15:45 and Thursday 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
-  * tutorials: Tuesday, 16:00 17:30 and Friday 12:30 14:00.+  * tutorials: Tuesday, 12:30 14:00 and Friday 10:45 12:15.
  
 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 52: Řádek 84:
 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. 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.
  
-  * {{ :mathematics:ma1_2020_tutorials_info.pdf|Preliminary plan}} of tutorials in academic year 2020/21+  * {{ :mathematics:ma1_2021_tutorials_info.pdf|Preliminary plan}} of tutorials in academic year 2021/22 
 +  * [[https://marian.fsik.cvut.cz/~reznicek/2021_Ma1.html|Tutorial exercises and other information]]
  
 /*  * {{ :mathematics:2019-test-ma1_1.pdf|First test}} - exercises from the first test /*  * {{ :mathematics:2019-test-ma1_1.pdf|First test}} - exercises from the first test
Řádek 71: Řádek 104:
 These conditions will be followed strictly, without any exceptions.  These conditions will be followed strictly, without any exceptions. 
  
-/* __//Dates of exams: Thursday 9. 1., 16. 1., 23. 1., 30. 1., 6. 2. and 13. 2. 2020.//__ +**NEW:** 
 +__//Dates of exams: Thursday 6. 1., 13. 1., 20. 1., 27. 1., 3. 2. and 10. 2. 2022.//__ 
  
 +/* 
 **NEW:** {{mathematics:exams_final.pdf|Final exams}} - **the last exams from Mathematics I A/B will be organized individually (between August 24 and September 10, 2020) depending on time availability of each student. Please contact [[Tomas.Bodnar@fs.cvut.cz|doc. Mgr. Ing. Tomáš Bodnár, Ph.D.]] by email to negotiate your examination date and time.** */ **NEW:** {{mathematics:exams_final.pdf|Final exams}} - **the last exams from Mathematics I A/B will be organized individually (between August 24 and September 10, 2020) depending on time availability of each student. Please contact [[Tomas.Bodnar@fs.cvut.cz|doc. Mgr. Ing. Tomáš Bodnár, Ph.D.]] by email to negotiate your examination date and time.** */
  
Řádek 78: Řádek 113:
  
  
- //The detailed information is available in the {{ :mathematics:ma1_2019_exams.pdf |Notice of exams}} from Mathematics I for the academic year 2019/20.// + //The detailed information is available in the {{ :mathematics:ma1_2021_exams.pdf |Notice of exams}} from Mathematics I for the academic year 2021/22.// 
  
- The detailed information will be made available at the end of semester in the //Notice of exams// from Mathematics II for the academic year 2020/21+/* The __updated detailed information will be made available at the end of semester__ in the //Notice of exams// from Mathematics for the academic year 2021/22*/
  
 Sample exam tests: {{ :mathematics:ma1_exam_1_en.pdf |Exam 1}}, {{ :mathematics:ma1_exam_2_en.pdf |Exam 2}}, {{ :mathematics:ma1_exam_3_en.pdf |Exam 3}} Sample exam tests: {{ :mathematics:ma1_exam_1_en.pdf |Exam 1}}, {{ :mathematics:ma1_exam_2_en.pdf |Exam 2}}, {{ :mathematics:ma1_exam_3_en.pdf |Exam 3}}
Řádek 87: Řádek 122:
  
 === Literature: === === Literature: ===
-  Neustupa, J.Mathematics I, CTU Publishing HousePrague, 1996, ({{:mathematics:ma1_en_textbook_part_i.pdf|Part I}})+/ 
 +({{:mathematics:ma1_en_textbook_part_i.pdf|Part I}}{{:mathematics:ma1_en_textbook_part_ii.pdf|Part II}}, {{:mathematics:ma1_en_textbook_part_iii.pdf|Part III}}) 
 +*/ 
 + 
 +  * Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996
   * Neustupa, J. and Kračmar, S.: Problems in Mathematics I, CTU Publishing House, Prague, 1999   * Neustupa, J. and Kračmar, S.: Problems in Mathematics I, CTU Publishing House, Prague, 1999
   * {{::m1_selected_problems.pdf|Selected problems}} from the textbook Problems in Mathematics I    * {{::m1_selected_problems.pdf|Selected problems}} from the textbook Problems in Mathematics I 
   * {{::m1_probl_from_prev_exams.pdf|Selected problems}} from the exam tests in previous years    * {{::m1_probl_from_prev_exams.pdf|Selected problems}} from the exam tests in previous years 
 +  * Recommended Czech materials [[:literatura|Základní literatura:]]
   * 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/]].   * 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/]].
Řádek 97: Řádek 137:
  
 === Timetable: === === Timetable: ===
-{{ :mathematics:screenshot_20200915_123955.png?820 |}}+{{ :mathematics:screenshot_20210915_125011.png?820 |}}
  
 [[:predmet|<-back]] [[:predmet|<-back]]
/data/www/mat.nipax.cz/data/attic/mathematics/mathematics_i.1602416946.txt.gz · Poslední úprava: 2020/10/11 13:49 autor: Tomáš Bodnár