Try the old final exams for your college’s engineering calculus 1 and engineering calculus 2 to see how your knowledge stacks up to the college’s standards. Then you can make a more informed placement decision between engineering calculus 1, engineering calculus 2, or engineering calculus 3.
In addition, here are some web based quizzes to check your readiness for calculus 1, 2, and 3 based on assumed prerequisite knowledge: http://www.math.buffalo.edu/rur_index.html