About this Course

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Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Beginner Level

Approx. 17 hours to complete

Russian

Subtitles: Russian

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Beginner Level

Approx. 17 hours to complete

Russian

Subtitles: Russian

Offered by

Moscow Institute of Physics and Technology logo

Moscow Institute of Physics and Technology

Университет Дмитрия Пожарского logo

Университет Дмитрия Пожарского

Syllabus - What you will learn from this course

Week
1

Week 1

1 hour to complete

Введение

1 hour to complete
6 videos (Total 52 min), 2 readings, 1 quiz
6 videos
Введение. Мотивирующий пример.8m
Движения, сохраняющие треугольник: отражения5m
Композиция двух отражений на плоскости9m
Движения, сохраняющие квадрат и окружность12m
Проективная геометрия14m
2 readings
Об Университете Дмитрия Пожарского10m
МФТИ10m
1 practice exercise
Введение: задачи.10m
Week
2

Week 2

1 hour to complete

Движения прямой

1 hour to complete
8 videos (Total 62 min)
8 videos
Композиция двух отражений3m
Параллельный перенос6m
Классификация движений прямой9m
Лемма о двух гвоздях4m
Утверждение о композиции отражений12m
Теорема о классификации9m
Таблица композиций движений12m
1 practice exercise
Движения прямой: задачи12m
Week
3

Week 3

1 hour to complete

Движения окружности

1 hour to complete
5 videos (Total 45 min)
5 videos
Формулировка теоремы о классификации и доказательство леммы о гвоздях10m
Композиция двух отражений9m
Завершение доказательства теоремы4m
Таблица умножения12m
1 practice exercise
Движения окружности: задачи12m
Week
4

Week 4

1 hour to complete

Начальная теория групп

1 hour to complete
5 videos (Total 46 min)
5 videos
Циклические группы: примеры12m
Таблица остатков по умножению12m
Конечные подгруппы в группе движений прямой6m
Конечные подгруппы в группе движений окружности: схема доказательста7m
1 practice exercise
Базовая теория групп: задачи18m

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

  • You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policy.

  • Yes, Coursera provides financial aid to learners who cannot afford the fee. Apply for it by clicking on the Financial Aid link beneath the "Enroll" button on the left. You’ll be prompted to complete an application and will be notified if you are approved. Learn more.

  • This Course doesn't carry university credit, but some universities may choose to accept Course Certificates for credit. Check with your institution to learn more. Online Degrees and Mastertrack™ Certificates on Coursera provide the opportunity to earn university credit.

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