No one in the French department to which Professor Alban belongs is allowed to teach more than one introductory level class in any one term.
Evidence
No one in French department (such as Prof A) can teach more than one intro level class per term.
The only language classes being taught next term are advanced.
Conclusion
It is not the case that both of Prof A's French classes next term will be intro.
Evaluate
Although this argument did have quantifier / conditional terms, there was no overlapping term between the first and second sentence, so this argument probably wouldn't benefit from going symbolic / algebraic.
Do we agree with the logic of the conclusion?
Sure! How could Prof A possibly be teaching two intro French classes next term if the only language classes next term are advanced, and if no one in the French department is allowed to teach more than one intro class per term.
So, it's valid logic. How would we characterize the structure? How do the ingredients combine to get us to the conclusion?
It actually seems like the two premises don't combine; each of one of them on its own would prove that conclusion.
Goal
Look for an argument with two premises, each of which is capable of proving the conclusion.
(The first premise makes it possible that Prof A could be teaching one intro French, but it's still impossible for both of his classes to be intro French.)