Is there a way to avoid exhaust fumes when landing?
Smelling exhaust in the cockpit is not normal.  Tell your instructor and squawk the problem.  Bonus - turn it into a learning experience by arranging to be with the A&amp;P when he decowls and inspects.  You can learn a lot about the engine that way.

If you are getting a headache from this you may have mild CO poisoning.  This does need to be checked out.