The First Isomorphism Theorem

我的數學表達練習，這次嘗試邊寫黑板邊講解，一次錄半小時。初步嘗試，請多指教。
本影片摘要：We will start from the definition of cosets and normal subgroups. Then we will construct quotient groups by defining a binary operation on the cosets of a normal subgroup. Then we will show that the kernel of a homomorphism is a normal subgroup. And moreover, every normal subgroup is the kernel of a homomorphism. Finally we will show that G mod kernel of φ is isomorphic to φ of G, completing the proof.
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