I am teaching Mathematical Economics for undergraduate students. Students have taken Mathematics I and II during their first year and they must take Mathematical Economics when they are third year students. I have two options for teaching: first, I can teach Mathematics Rules and proofs (such as derivatives and integrals), or, as a second option I can teach only Economical applications.
If I take the first option I must pay more time for reteaching basics that they had seen during first year, but I think they may relearn the basics of Mathematics, and Mathematical Economics too. On the other hand, with the second option I can focus on Economical usages of mathematics only and offer more application examples. But in this case students may lose their interest in math and maybe start to fear Mathematics.
Which option is better for my students?