Obě strany předchozí revizePředchozí verzeNásledující verze | Předchozí verze |
mathematics:mathematics_i [2019/12/09 10:08] – Tomáš Bodnár | mathematics:mathematics_i [2024/05/10 07:21] (aktuální) – Tomáš Bodnár |
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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. |
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| === 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. |
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=== Content: === | * {{ :mathematics:ma1_2023_requirements.pdf|Plan of lectures}} in academic year 2023/24 |
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. | |
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* {{ :mathematics:ma1_2019_requirements_a.pdf|Plan of lectures (level Alpha)}} in academic year 2019/20 | |
* {{ :mathematics:ma1_2019_requirements_b.pdf |Plan of lectures (level Beta)}} in academic year 2019/20 | |
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=== Lecturers === | === Lecturers === |
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[[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. |
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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. |
=== 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. |
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* {{ :mathematics:ma1_2019_tutorials_info.pdf|Preliminary plan}} of tutorials in academic year 2019/20 | * {{ :mathematics:ma1_2023_tutorials_info.pdf|Preliminary plan}} of tutorials in academic year 2023/24 |
* {{ :mathematics:2019-test-ma1_1.pdf|First test}} - exercises from the first test | * [[https://marian.fsik.cvut.cz/~reznicek/2023_Ma1.html|Tutorial exercises and other information]] |
* 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 | |
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=== 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. |
| */ |
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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: |
These conditions will be followed strictly, without any exceptions. | These conditions will be followed strictly, without any exceptions. |
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__//Dates of exams: Thursday 9. 1., 16. 1., 23. 1., 30. 1., 6. 2. and 13. 2. 2020.//__ | |
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| __//Dates of exams: Thursday 11. 1., 18. 1., 25. 1., 1. 2., 8. 2. and 15. 2. 2024.//__ |
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/* * __**NEW: The last exam from Mathematics I in the academic year 2018/2019 will take a place on Monday, June 17, 2019.**__ */ | |
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//The detailed information is available in the {{ :mathematics:ma1_2019_exams.pdf |Notice of exams}} from Mathematics I for the academic year 2019/20.// | |
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/* The detailed information will be made available at the end of semester in the //Notice of exams// from Mathematics I for the academic year 2019/20. */ | __**NEW: The last exam from Mathematics I in the academic year 2023/2024 will take a place on Monday, June 17, 2024.**__ |
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| //The detailed information is available in the {{ :mathematics:ma1_2023_exams.pdf |Notice of exams}} from Mathematics I for the academic year 2023/24.// |
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| /* |
| The __updated detailed information will be made available at the end of semester__ in the //Notice of exams// from Mathematics I for the academic year 2023/24. |
| */ |
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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}} |
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| /* |
__//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. |
| */ |
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=== Literature: === | === Literature: === |
* Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996, | /* |
* Finney, R. L., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994 | ({{: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}}) |
* {{::m1_selected_problems.pdf|Selected problems}} from the textbook Problems in Mathematics I (the textbook is in Czech only) | */ |
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| * Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996 |
| * 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_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/]]. |
| * [[https://openstax.org/details/books/college-algebra|College algebra]], provided by [[https://cnx.org/|https://cnx.org/]] |
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=== Timetable: === | === Timetable: === |
{{ :mathematics:schedule_MA1en_2019.png?820 |}} | {{ :mathematics:screenshot_20230918_130405.png?820 |}} |
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[[:predmet|<-back]] | [[:predmet|<-back]] |