# Differential Equations 2020

## Содержание

## 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 |

Teacher | E. Kochegarova |

## Course Materials

## 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**

## Results

## 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.

** 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

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.