About this Course
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100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 24 hours to complete

Suggested: 9 hours per module...

Turkish

Subtitles: Turkish, English

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 24 hours to complete

Suggested: 9 hours per module...

Turkish

Subtitles: Turkish, English

Syllabus - What you will learn from this course

Week
1
2 hours to complete

Multivar 1'in Özeti, Dairesel Koordinatlarda Entegraller

3 videos (Total 103 min), 1 reading, 1 quiz
3 videos
Dairesel Koordinatlarda İki Katlı Entegraller Ana Kavramlar29m
Dairesel Koordinatlarda Çözümlü Problemler35m
1 reading
Modül Slaytları10m
1 practice exercise
Multivar 1'in Özeti, Dairesel Koordinatlarda Entegraller20m
Week
2
3 hours to complete

Türev Uygulamalarından Seçme Konular

5 videos (Total 144 min), 1 reading, 1 quiz
5 videos
Kısıtlama Altında Uç Değer ve Lagrange Çarpanı44m
Değişimler Hesabı20m
Gradyan ve Doğanın Temel Denklemleri31m
Dairesel Koordinatlarda Gradyan, Diverjans, Rotasyonel ve Laplasiyen26m
1 reading
Modül Slaytları10m
1 practice exercise
Türev Uygulamalarından Seçme Konular48m
Week
3
3 hours to complete

Çok Değişkenle Zincirleme Türev ve Jakobiyan

5 videos (Total 125 min), 1 reading, 1 quiz
5 videos
Sonsuz Küçük Alan, Hacım ve Jakobiyan17m
Üç Eğrisel Koordinatla Sonsuz Küçük Hacım ve Jakobiyan26m
Karmaşık Fonksiyonların Yapısı ve Cauchy-Riemann Teoremi22m
Sonsuz Küçük Yüzeylerin Gösterimleri 35m
1 reading
Modül Slaytları10m
1 practice exercise
Çok Değişkenle Zincirleme Türev ve Jakobiyan24m
Week
4
4 hours to complete

Uzayda Yüzey ve Hacım Entegralleri

10 videos (Total 191 min), 1 reading, 1 quiz
10 videos
Genel Kavramlar18m
Sonsuz Küçük Hacım: Kartezyen koordinatlarda11m
Sonsuz Küçük Hacım: Silindir koordinatlarında11m
Sonsuz Küçük Hacım: Küresel koordinatlarda14m
Sonsuz Küçük Hacım: Genel Eğrisel koordinatlarda16m
Çözümlü Problemler I: Karşılaştırmalı koordinat uygulamaları11m
Çözümlü Problemler II: Karşılaştırmalı koordinat uygulamaları10m
Çözümlü Problemler III: Karşılaştırmalı koordinat uygulamaları25m
Çözümlü Problemler IV: Karşılaştırmalı koordinat uygulamaları12m
1 reading
Modül Slaytları10m
1 practice exercise
Uzayda Yüzey ve Hacım Entegralleri40m

Instructor

Avatar

Attila Aşkar

Prof. Dr.
Matematik Bölümü (Department of Mathematics)

About Koç University

Koç University is a leading liberal arts university located in Istanbul, Turkey; also recognized globally for facilitating cutting edge research in its full collection of Colleges, including Administrative Sciences & Economics, Engineering, Natural Sciences, Humanities & Social Sciences, Law, Nursing and Medicine. With its strong academic structure, research opportunities, international achievements, vivid social environment and wide range of job opportunities upon graduation, Koç University distinctively attracts attention. Now available online....

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.

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