This semester I am a teaching assistant for Calculus. There are many students from different departments like International Relations, Economics and more taking the course. The course is comprehensive. For example, we gave the "epsilon-delta" definition of limit, we find the derivative of functions using the definition of derivative, find the equation of tangent line that passes through a point on some function. I am trying my best to explain what are we doing during class; I draw graphs to explain formal stuff, give daily life examples while finding a delta for a given epsilon. However, I can see the pain in their face and that bothers me a lot because I want them to understand or at least pass the class with a relatively high grade.
So, can you give me some examples related to your department that I can use in Calculus, or some advice about to increase the level of understanding of the course? Any answers will be appreciated, thank you.