The phrase "own assignments" is correct and usable in written English.
It can be used when referring to tasks or projects that someone is responsible for completing themselves.
Example: "Students are encouraged to take responsibility for their own assignments and manage their time effectively."
Alternatives: "personal assignments" or "individual tasks".
And professors can add their own assignments, their own readings".
You had to do your own assignments and come up with your own ideas.
By the time he was 14 he was getting his own assignments at Channel 5 News.
The group formed in order to have control over their own assignments and to retain copyrights over their own negatives.
"They are physical, too, but the most impressive thing is that they stick to their own assignments and play together.
Unlike many of the other culture critics at The Times, the architecture critic has considerable freedom to choose his own assignments and areas of interest – not bound, as others are, by the equivalent of the blockbuster movie, the big Broadway premiere, or the major exhibition at the Metropolitan Museum of Art.
Marika Gerrard: At that time, we were working with KCOP and KNX news radio, so we had our own assignment desk and we were pretty much able to assign ourselves whatever we wanted to cover.
With other agencies you would organize your own assignment, the magazine would call you, and the agency would still take 50 percent.
My own assignment in that collection was to examine his editing of his first Inaugural Address, delivered after some states had seceded but before the war had begun.
He was particularly impressed with how carrier doctrine had evolved in the time since his own assignment on a carrier, and in June 1943, he was ordered to observe operations on the light aircraft carrier, learning the unique challenges of using light carriers.
He referred back to the frustrations he had faced in his own past assignments in Sudan and Bosnia.
