Allie, in Wasnex's defense, not that any is needed, it's pretty easy to draw the conclusion, correctly or not, that you don't have a lot of experience with jazz bass, based upon the wording in your original post. .. ".. sone classical training.." and "..first assignment from a jazz teacher.." in particular. I drew the same conclusion, to be honest, and was about to post something similar to what Wasnex posted, addressing intonations and note choices that were much more driven by sometimes placing the desire for a strong melodic leading in the bass line over the desire to always play notes that fit the chord or even the key perfectly.
After reading your response, perhaps you were already aware of some of the somewhat dichotomous nature of jazz harmonic and melodic considerations, but the assumption that you were not is completely understandable.