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Title: Closed curves and antiderivatives
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Series: Complex Analysis
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YouTube-Title: Complex Analysis 21 | Closed curves and antiderivatives
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Bright video: https://youtu.be/824rFeRm_l4
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Dark video: https://youtu.be/iloE3-8LLDg
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Forum: Ask a question in Mattermost
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: ca21_sub_eng.srt missing
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Download bright video: Link on Vimeo
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Download dark video: Link on Vimeo
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: Which two properties does an ‘open domain’ as a subset of $\mathbb{C}$ fulfil?
A1: open and path-connected
A2: closed and path-connected
A3: closed and open
A4: open and no holes
Q2: Let $f: \mathbb{C} \rightarrow \mathbb{C}$ be holomorphic with the property that $$ \oint_{\gamma} f(z) , dz = 0 $$ for all closed curves $\gamma$. What is a correct conclusion?
A1: $f$ has an antiderivative.
A2: $f$ has no antiderivative.
A3: $f$ has exactly two antiderivatives.
A4: $f$ is not differentiable.
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Last update: 2024-10
