The phrase 'the course of history' is correct and is commonly used in written English. For example, "The course of history is a complex network, in which many people and events are connected in unexpected ways."
He changed the course of history.
"WAR, peace, and the course of history".
Politics changes the course of history.
Can it shape the course of history?
Thus was the course of history altered.
"It will change the course of history".
He had come to change the course of history.
She knew powerful men who changed the course of history.
Yet it helped to change the course of history.
This is our time to change the course of history".
Over the course of history, racial alignments have shifted radically.
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Ha Thuy Vy
MA of Applied Linguistic, Maquarie University, Australia