Math 344 is Northwestern's undergraduate course in topology, covering topological spaces, continuous functions, connectedness and compactness, and the separation axioms.
Here you'll find exams and notes from various Math 344 courses I've taught. Keep in mind that books used and specific topics covered may change slightly year-to-year, so take care when deciding what is or isn't relevant for a current course.
Sample syllabus and schedule: Math 344 (schedule)