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mathematics:mathematics_i [2020/09/15 11:14] Tomáš Bodnármathematics:mathematics_i [2020/11/26 15:44] Tomáš Bodnár
Řádek 2: Řádek 2:
 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.
  
-=== Content: === +General study advices and rules for the emergency online study regime can be found in  
-Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E3 - 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: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}} 
 +  * //Week:// November 23 - November 29, 2020 - //Topic:// Taylor's polynomial and antiderivatives {{ :mathematics:ma1en_taylor_and_antiderivatives.pdf | Taylor's polynomial and antiderivatives}} 
 + 
 +=== 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: December 4, 2020 - For the second part of the homework  
 +(exercise 2, 3, 4 from Exam 1, exercise 3, 4 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: === 
 +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_2020_requirements_a.pdf|Plan of lectures (level Alpha)}} in academic year 2020/21
Řádek 58: Řádek 100:
  
 === Literature: === === Literature: ===
-  * Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996,  +  * 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_iii.pdf|Part III}}) 
-  * FinneyR. L., Thomas, G.B.: Calculus, Addison-Wesley, New YorkOntarioSydney1994 +  * NeustupaJand KračmarS.: Problems in Mathematics ICTU Publishing HousePrague1999 
-  * {{::m1_selected_problems.pdf|Selected problems}} from the textbook Problems in Mathematics I (the textbook is in Czech only)+  * {{::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 
   * 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/]].
 +  * [[https://openstax.org/details/books/college-algebra|College algebra]], provided by [[https://cnx.org/|https://cnx.org/]]
 +
  
 === Timetable: === === Timetable: ===
/data/www/mat.nipax.cz/data/pages/mathematics/mathematics_i.txt · Poslední úprava: 2024/05/10 07:21 autor: Tomáš Bodnár

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