Differential Equations 2020 — различия между версиями

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(не показано 46 промежуточных версии 2 участников)
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|rowspan="2"| Assistants  
 
|rowspan="2"| Assistants  
 
|rowspan="2"| Alyona Kim <br/> [mailto:adkim@edu.hse.ru adkim@edu.hse.ru] <br/>
 
|rowspan="2"| Alyona Kim <br/> [mailto:adkim@edu.hse.ru adkim@edu.hse.ru] <br/>
Marat Saidov <br/> [mailto:masaidov@edu.hse.ru masaidov@edu.hse.ru]
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Marat Saidov <br/> [mailto:msaidov1@yandex.ru msaidov1@yandex.ru]
 
|-
 
|-
 
| Teacher || E. Kochegarova
 
| Teacher || E. Kochegarova
 
|}
 
|}
  
== Course Materials ==
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== Lectures ==
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'''Lecture 06.04.2020'''. Linear difference equations with the variable coefficients.
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[[https://drive.google.com/open?id=12GST1dDSB7rOYbIQveCNjDy1NzrGv-jm Materials]]
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'''Lecture 13.04.2020'''. Linear difference equations with the constant coefficients (stationary equations). [[https://drive.google.com/open?id=1LvTNjizOotLXPiH1IEu4JR79wjvs34Ct Materials]]
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'''Lecture 27.04.2020'''. Stability of equilibria. [[https://drive.google.com/open?id=1FQYb6BJTyPA-WqAGxOw3O42nBeYTqa9v Materials]] [[https://zoom.us/rec/share/-PVrDo7v2SRJXdacsWHGSvI8IIvKT6a80yBLq_cLnz0Uw7MBadw0fE9zzPGZcRU Recording]] Password: 5w^kmh?q
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'''Lecture 18.05.2020'''. [[https://zoom.us/rec/share/1e9TNOj_2UVIWYHo8VjfRLQ9O6vUX6a8gSBMqPFYyR2Q2WUoCnMqljeE9uIA2EJk Recording]] Password: 8H@!03R7
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'''Lecture 26.05.2020''' [[https://zoom.us/rec/share/vuhRca-usWNLTLf99Fn2RpcYOr36T6a81CUb8_MFyhxCcxMBNCtpw9V04dpajf4C Recording]] Password: 2y@m^M07
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'''Consultation 26.05.2020'''. [[https://zoom.us/rec/share/35xPdeH_9zhJbLPR9R3wWYc8Gra-X6a80Ccd_vAFyk_r0bqlLudxUIDJXOdQNfhf Recording]] Password: 8Y&v59Ds
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'''Lecture 01.06.2020'''. [[https://zoom.us/rec/share/2-oqDbjf3EFJfrPu-kvSVqcqXZnCeaa813AX8qdemUHy3rtXwvhR7NEeL-yOvY4 Recording]] Password: 6n.Te?=v
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'''Lecture 08.06.2020'''. [[https://zoom.us/rec/share/5cUkdq7CxGxJRonIuHP1Zal6PLv8eaa8gyhPqPIPnx2C6kaLd8jSxHE4unJIXn7z Recording]] Password: 1X+n@mKJ
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== Seminars ==
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'''Seminar 22.04.2020'''. [[https://zoom.us/rec/share/xZdPPuvM5FpJRJXd8F3HXrAPNbj_X6a80ykb__IKzkwsGmd1vFxgGaWFS7SThu6g Recording]]. Password: 4n!R$7$J
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'''Seminar 29.04.2020'''. [[https://zoom.us/rec/share/osctDKmh-29OH6v0z0iBAJB8ENq-eaa8hCAX-vdZmUonYoh1m5tGEgMvrLjf3Rb7 Recording]].
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Password: 0R%$68r%
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'''Seminar 08.05.2020'''. [[https://zoom.us/rec/share/u_VPd6Pa0EFIZrfhsWrtaL85R4PdT6a82iBLqKYMnk7fLgkhfr6TA2u7HiAiuTJE Recording]]. Password: 6x#VS&3C
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'''Seminar 13.05.2020'''. [[https://zoom.us/rec/share/7-50K7_Qzm1OWoH9s2LBW64cDIjZaaa80yNNrKBYmkhBZDcYKDK7aa7umBZhn63i Recording]]. Password: 5Y.=$^.+
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'''Seminar 27.05.2020'''. [[https://zoom.us/rec/share/--xPFODUyThIZKeOwkKPY5UTIJ70X6a81ClPqKYEnUeeciwH_ZJJE1W-wi8g9jNM Recording]]. Password: 7D.@5@9k
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'''Seminar 03.06.2020'''. [[https://zoom.us/rec/share/28B_Co2u8W1IULfpy0TuZoEGBLTlT6a80yYc-KEFyBqZGX8jsajclTBNlHiIMtHC Recording]] Password:  0r%Wg427
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'''Seminar 09.06.2020'''. [[https://zoom.us/rec/share/7OovFYnz1zpLe8_qym3Sc6J8E9rfT6a81iIZ8_APmBoXNVlhdin6Dy48ngRaTfV9 Recording]] Password:  4c+n?K45
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== Midterm test ==
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''Date'': 23.03.2020
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''Materials'': [https://drive.google.com/open?id=1SwUgmVw_UJtUdtnS7zC2ABwQXyQvsQGX Demo version]
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''Solutions'': [https://drive.google.com/open?id=1-GoGauNOyHQGTgbHV-wVKVmwEM89gtjs Link to Drive]
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''Duration'': 80 minutes
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== UoL Materials ==
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''Materials'': [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]
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''Tasks for preparation'': [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]
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''Exam demo version'': [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]
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''Exam assessment rules'': [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]
  
 
== Assignments ==
 
== Assignments ==
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[https://drive.google.com/file/d/1kF62UVSjG1QIeIP4_ukVLyXuDA_JYkZo Home assignment 4], due on '''March 9th'''
 
[https://drive.google.com/file/d/1kF62UVSjG1QIeIP4_ukVLyXuDA_JYkZo Home assignment 4], due on '''March 9th'''
  
[https://drive.google.com/open?id=1MkHKfWSgnsyIjcIVAiy4jrlEtJKYY2Lb Home assignment 5], due on '''TBA'''
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[https://drive.google.com/open?id=1MkHKfWSgnsyIjcIVAiy4jrlEtJKYY2Lb Home assignment 5], due on '''March 24th'''
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[https://drive.google.com/open?id=1ZyolG65y-zcGXLmTn-ZpDG0TvpusfLDz Home assignment 6], due on '''April 22th'''
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[https://drive.google.com/open?id=1mny1BaAHqDRT8Tn10hxhKfFHGONusqxc Home assignment 7], due on '''May 13th'''
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[https://drive.google.com/open?id=1cl-S2vbywWoXhDut3S5A0BerFVWbU5M9 Bonus Home assignment], due on '''May 20th'''. Brief solutions: [https://drive.google.com/open?id=1CaGCVauzHityfEaiajHeRL7t0NMu71iV Link].
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[https://drive.google.com/open?id=1fOdiERw4uJ2vL0luJGa3FVifx2lBRAFo Home assignment 8], due on '''June 3rd'''
  
 
== Results ==
 
== Results ==
Строка 48: Строка 109:
 
== Grading System ==
 
== Grading System ==
  
The home assignments constitute 15% of the final grade. The mid-term test contributes 25% to the final grade. The final exam is 60% of the final grade. If a student missed the mid-term test without a valid excuse (see HSE rules for valid excuses), he or she would be given zero grade. If a student missed the mid-term test with a valid excuse, the calculation of the final grade will be based on other types of assessment, using a formula that partially compensates for the lost points. In this case, the weights of all other components of the final grade are multiplied by (1+0,5a), where “a” is the weight of a grade for the missed midterm test in the final grade.  
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The home assignments constitute 30% of the final grade. The final exam is 70% of the final grade.
  
 
''' The final grade on the course''' will be determined according to the formula:
 
''' The final grade on the course''' will be determined according to the formula:
  
'''G(rade)''' = 0.6 * Final Exam + 0.15 * Home assignments + 0.25 * Midterm Test
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'''G(rade)''' = 0.7 * Final Exam + 0.3 * Home assignments
  
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the [https://icef-info.hse.ru/goto_icef_file_29833_download.html ICEF Grading Regulations (par.3)].
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All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the [https://www.dropbox.com/s/cft4z13exps25bz/BSc%20Grade%20Determination.pdf?dl=0 ICEF Grading Regulations (par.3)].
  
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations] (incl. Annex 8 for ICEF). Grade determination after retakes is done in accordance with [https://icef-info.hse.ru/goto_icef_file_29833_download.html ICEF Grading Regulations (par. 5)].
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Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations] (incl. Annex 8 for ICEF). Grade determination after retakes is done in accordance with [https://www.dropbox.com/s/cft4z13exps25bz/BSc%20Grade%20Determination.pdf?dl=0 ICEF Grading Regulations (par. 5)].
  
 
== Reading ==
 
== Reading ==

Текущая версия на 13:05, 26 июня 2020

Syllabus

or see this version of the syllabus

“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam.

This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus.

In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June.

The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.

As a general policy, personal computing devices such as laptops, calculators etc. are not supposed to be used in the course. They are absolutely prohibited in all exams. Students are expected to do all necessary arithmetic computations by hand.

Lecturers and Teachers

Lecturer K.A. Bukin
kbukin@hse.ru
Assistants Alyona Kim
adkim@edu.hse.ru

Marat Saidov
msaidov1@yandex.ru

Teacher E. Kochegarova

Lectures

Lecture 06.04.2020. Linear difference equations with the variable coefficients. [Materials]

Lecture 13.04.2020. Linear difference equations with the constant coefficients (stationary equations). [Materials]

Lecture 27.04.2020. Stability of equilibria. [Materials] [Recording] Password: 5w^kmh?q

Lecture 18.05.2020. [Recording] Password: 8H@!03R7

Lecture 26.05.2020 [Recording] Password: 2y@m^M07

Consultation 26.05.2020. [Recording] Password: 8Y&v59Ds

Lecture 01.06.2020. [Recording] Password: 6n.Te?=v

Lecture 08.06.2020. [Recording] Password: 1X+n@mKJ

Seminars

Seminar 22.04.2020. [Recording]. Password: 4n!R$7$J

Seminar 29.04.2020. [Recording]. Password: 0R%$68r%

Seminar 08.05.2020. [Recording]. Password: 6x#VS&3C

Seminar 13.05.2020. [Recording]. Password: 5Y.=$^.+

Seminar 27.05.2020. [Recording]. Password: 7D.@5@9k

Seminar 03.06.2020. [Recording] Password: 0r%Wg427

Seminar 09.06.2020. [Recording] Password: 4c+n?K45

Midterm test

Date: 23.03.2020

Materials: Demo version

Solutions: Link to Drive

Duration: 80 minutes

UoL Materials

Materials: [Materials]

Tasks for preparation: [Tasks]

Exam demo version: [Demo version]

Exam assessment rules: [Assessment rules]

Assignments

Home assignments

Home assignment 1, due on January 27th

Home assignment 2, due on February 10th

Home assignment 3, due on February 21st

Home assignment 4, due on March 9th

Home assignment 5, due on March 24th

Home assignment 6, due on April 22th

Home assignment 7, due on May 13th

Bonus Home assignment, due on May 20th. Brief solutions: Link.

Home assignment 8, due on June 3rd

Results

Home assignments

Grading System

The home assignments constitute 30% of the final grade. The final exam is 70% of the final grade.

The final grade on the course will be determined according to the formula:

G(rade) = 0.7 * Final Exam + 0.3 * Home assignments

All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the ICEF Grading Regulations (par.3).

Retakes are organized in accordance with the HSE Interim and Ongoing Assessment Regulations (incl. Annex 8 for ICEF). Grade determination after retakes is done in accordance with ICEF Grading Regulations (par. 5).

Reading

Obligatory:
- Mathematics for economists, Simon C. P., Blume L., 1994
Optional:
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Internet Resources

University of London Exam papers and Examiners reports for the last three years.