This is a first course in mathematical analysis. We will conduct a rigorous, proof-based investication of the real number line and functions of one real variable. Topics include limits, continuity, differentiation, basic topology of the real line, and sequences and series of functions.
Max Kutler, kutler(at)uoregon(dot)edu, Fenton 209.
Office Hours: Tuesday 10-11 AM; Wednesday 1-2 PM; Friday 10-11 AM; and by appointment (email me).
Cathy Hsu, cathyh(at)uoregon(dot)edu, Deady 103.
Office Hours: Monday 1-3 PM and Thursday 2-4 PM.
Understanding Analysis, 2nd ed., by Stephen Abbott
Free PDF (on-campus access only): Springer Link
For purchase: Duck Store, Amazon, Barnes & Noble
Your grade will be based on homework, two midterm exams, and a cumulative final exam. Whichever of these four elements receives the highest score will count for 40% of your course grade; the remaining three elements will count for 20% each.
The grading scale will be roughly the following: A 90%-100%, A- 85%-89%, B+ 80%-84%, B 70%-79%, B- 65%-69%, and so on.
Homework will be due each Tuesday and Friday, to be turned in at the beginning of class.
You are encouraged to discuss the homework with other members of the class, and it is appropriate to acknowledge the assistance of others. Furthermore, you should feel free to use sources well beyond your textbook, personal notes, and past homework when crafting your solutions. You must, however, cite any such sources, and you must write up all of your final solutions on your own.