Most assignments in this course are to be done individually. I have no objection to people in the class discussing general approaches to a homework problem, but I expect each individual to write up the details separately. If I find two or more students turning in essentially identical homework (which is easy to detect in a class this small!), all the students involved will be penalized.
All work on the exam must be entirely the work of the one person whose name is at the top of the page. If I have evidence that one student copied from another on an exam, both students will be penalized; see above.