About this Course

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Shareable Certificate

Earn a Certificate upon completion

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Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Beginner Level

Approx. 18 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. 18 hours to complete

Russian

Subtitles: Russian

Offered by

National Research University Higher School of Economics logo

National Research University Higher School of Economics

Syllabus - What you will learn from this course

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Week
1

Week 1

2 hours to complete

Понятие линейного пространства

2 hours to complete
7 videos (Total 56 min), 4 readings, 1 quiz
7 videos
Добро пожаловать!1m
1.1. Что такое линейное пространство?6m
1.2. Группы по сложению3m
1.3. Строгое определение линейного пространства9m
1.4. Простые свойства линейных пространств15m
1.5. Подпространство линейного пространства16m
4 readings
Об университете10m
Структура курса10m
Список рекомендуемой литературы10m
Дополнительные материалы к неделе 110m
1 practice exercise
Домашнее задание 130m
Week
2

Week 2

1 hour to complete

Линейные функции на линейном пространстве

1 hour to complete
4 videos (Total 40 min)
4 videos
2.2. Линейная функция на линейном пространстве3m
2.3. Примеры линейных функций9m
2.4. Линейные отображения: примеры и свойства20m
1 practice exercise
Домашнее задание 230m
Week
3

Week 3

1 hour to complete

Базис линейного пространства

1 hour to complete
4 videos (Total 45 min)
4 videos
3.2. Теорема о базисе линейного пространства. Размерность8m
3.3. Как представить пространство большой размерности? Линейная зависимость15m
3.4. Теорема о продолжении базиса. Монотонность размерности16m
1 practice exercise
Домашнее задание 330m
Week
4

Week 4

1 hour to complete

Системы линейных уравнений

1 hour to complete
4 videos (Total 47 min)
4 videos
4.2. Матрица системы. Метод Гаусса (начало)13m
4.3. Метод Гаусса (продолжение)15m
4.4. Решения систем линейных уравнений7m
1 practice exercise
Домашнее задание 48m

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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