Instead of a final this semester, you will be doing a term paper which consists of picking a special function, researching it via the web and books and any other way you wish, then writing a paper explaining the mathematics you have learned. The best papers will also contain something you created yourself such as an example to demonstrate understanding of the topic. The level of the discussion and examples should be for college students. I am happy to discuss the project with you, including helping you with the material.
The following is a list of possible topics. Feel free to choose another topic as long as you check with me first to be sure the topic is suitable. Each topic may be done by at most two students, so the first to ask for a topic gets to do it.
See the book for a list of questions to get you started.