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mathematics:mathematics_i [2020/11/15 16:15] Tomáš Bodnármathematics:mathematics_i [2023/12/21 11:23] (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.**__ 
-=== 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%3a30a0b7c89cb24c42a04512027509ff04%40thread.tacv2/conversations?groupId=993cd961-5414-4c19-b022-44800924df70&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. 
- 
-General study advices and rules for the emergency online study regime can be found in  
-{{ :mathematics:ma1en_study_advices.pdf | Study advices}} 
- 
- 
-=== Essential weekly information for regular study === 
- 
-  * //Week:// September 28 - October 4, 2020 - //Topic:// Vectors and matrices {{ :mathematics:ma1en_vectors_and_matrices.pdf | Vectors and matrices}} 
-  * //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 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}} 
- 
-=== 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:ma1_exam_1_en.pdf |Exam 1}}, {{ :mathematics:ma1_exam_2_en.pdf |Exam 2}}, {{ :mathematics:ma1_exam_3_en.pdf |Exam 3}}  
- 
- 
-**EXTRA HOMEWORK DEADLINE: November 16, 2020 - Exceptional last chance for students who have failed in the first part of the long term homework. Solve exercises 1, 2, 3, 7, 10, 12 fromthe Linear algebra section of  
-{{::m1_probl_from_prev_exams.pdf|Selected problems}} from the exam tests in previous years.** 
- 
-/* 
-**DEADLINE: October 30, 2020 - For the first part of the homework  
-(1st exercise from Exam 1, 1st and 2nd exercise from 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.__  
- 
-/* 
-//If you have some part of the assessment homework done, please scan it to PDF and send it to us by email.  
-// 
-*/ 
- 
  
 === Content of the course: === === Content of the course: ===
 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_2023_requirements.pdf|Plan of lectures}} in academic year 2023/24 
-  * {{ :mathematics:ma1_2020_requirements_b.pdf |Plan of lectures (level Beta)}} in academic year 2020/21+  
  
 === 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: Wednesday, 12:30 - 14:00 and Friday 9:00 10:30.
 [[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, 9:00 - 10:30 and Friday 12:30 - 14:00.
  
 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 61: Řádek 19:
 === 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 //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.)+exam. (i.e. student can make the exam only with the assessment written in the study record.)
 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_2023_tutorials_info.pdf|Preliminary plan}} of tutorials in academic year 2023/24 
 +  * [[https://marian.fsik.cvut.cz/~reznicek/2023_Ma1.html|Tutorial exercises and other information]] 
  
-/*  * {{ :mathematics:2019-test-ma1_1.pdf|First test}} - exercises from the first test 
-  * Homework - as a replacement of the first test: Solve the listed exercises from {{::m1_selected_problems.pdf|Selected problems}} from the textbook Problems in Mathematics I \\ Exercises No.: 8, 51, 70, 73, 110, 112, 140, 143, 148, 175, 185, 236, 256, 258, 276, 278, 295, 300, 301, 309 
-  * {{ :mathematics:2019-test-Ma1_2.pdf|Second test}} - exercises from the second test 
-  * Homework - as a replacement of the second test: Solve the listed exercises from {{::m1_selected_problems.pdf|Selected problems}} from the textbook Problems in Mathematics I \\ Exercises No.: 622, 612, 797, 866, 869, 979, 991, 1001, 1003, 1021, 1047, 1049, 1118, 1209, 1218, 1308, 1319, 1330, 1351, 1354 */ 
      
  
 === Exams === === Exams ===
 +/*
 Students can choose between the levels A (Alpha-standard) or B (Beta-lower), not later than 2 days before the exam. The exam has a written form. Students are supposed to know and understand notions named in the plan of lectures, to know and understand named theorems (including their assumptions) and to be able to apply the theorems to simple problems. Students are recommended to solve individually problems from exam tests from previous years. The level of these problems corresponds to the exam of level A. Material required for the exam of level A coincides with the contents of lectures and with the contents of tutorials. The difference between the exams of levels A and B is especially in the choice and complexity of problems solved in the exam test. Students can choose between the levels A (Alpha-standard) or B (Beta-lower), not later than 2 days before the exam. The exam has a written form. Students are supposed to know and understand notions named in the plan of lectures, to know and understand named theorems (including their assumptions) and to be able to apply the theorems to simple problems. Students are recommended to solve individually problems from exam tests from previous years. The level of these problems corresponds to the exam of level A. Material required for the exam of level A coincides with the contents of lectures and with the contents of tutorials. The difference between the exams of levels A and B is especially in the choice and complexity of problems solved in the exam test.
 +*/
  
 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:
Řádek 83: Řádek 41:
 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:** {{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 studentPlease contact [[Tomas.Bodnar@fs.cvut.cz|docMgrIngTomáš BodnárPh.D.]] by email to negotiate your examination date and time.** */+__//Dates of exams: Thursday 111., 181., 251., 1. 2., 82. and 152. 2024.//__ 
  
-/* * __**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 is available in the {{ :mathematics:ma1_2019_exams.pdf |Notice of exams}} from Mathematics I for the academic year 2019/20./+/* 
 + __**NEW:  The last exam from Mathematics I in the academic year 2021/2022 will take a place on Thursday, June 23, 2022.**__  
 +*/
  
- 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 detailed information is available in the {{ :mathematics:ma1_2023_exams.pdf |Notice of exams}} from Mathematics I for the academic year 2023/24.//  
 + 
 + 
 +/* 
 +The __updated detailed information will be made available at the end of semester__ in the //Notice of exams// from Mathematics for the academic year 2023/24 
 +*/
  
 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}}
  
 +/*
 __//Advantage of exam level A//__: The exam of level A provides three more credits than the exam of level B. Students, who finish the named courses (exact information on the list of these courses is provided by the study department) with the exam of level A, can complete the bachelor programme already after three years (in an individual study programme) and they are accepted to the master programme without entrance exams. __//Advantage of exam level A//__: The exam of level A provides three more credits than the exam of level B. Students, who finish the named courses (exact information on the list of these courses is provided by the study department) with the exam of level A, can complete the bachelor programme already after three years (in an individual study programme) and they are accepted to the master programme without entrance exams.
 +*/
  
 === Literature: === === Literature: ===
-  Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996, ({{:mathematics:ma1_en_textbook_part_i.pdf|Part I}}, {{:mathematics:ma1_en_textbook_part_ii.pdf|Part II}})+/ 
 +({{: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 109: Řádek 79:
  
 === Timetable: === === Timetable: ===
-{{ :mathematics:screenshot_20200915_123955.png?820 |}}+{{ :mathematics:screenshot_20230918_130405.png?820 |}}
  
 [[:predmet|<-back]] [[:predmet|<-back]]
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