When and where: MWF, 9:00-9:50 AM, HARING 1204.
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Instructor: Professor Michael Kapovich (kapovich@ucdavis.edu). Office: MSB 2224.
Office Hours: Wednesdays, 1-2pm, MSB 2224.
TA Info: Mr. Subhadip Dey
TBA
Discussion section B01, CRN 43160, meets: Tuesday, 17:10-18:00 in GYM 290.
Office hours: Wedenesday, 4-5pm, MSB 2139.
Discussion section B02, CRN 43161, meets: Tuesday, 18:10-19:00 in GYM 290.
Office hours: Friday 4-5pm, MSB 2139.
You can come to either one of the discussion sections.
Textbook: Stephen Abbott, Understanding Analysis, 2nd ed. Springer Verlag, 2015.
Chapters of the textbook to be
covered: 1-7.
In addition to the Abbotts' textbook,
some of you might find helpful this free online source: Classical Real Analysis
Course overview.
The focus of this course is on real
numbers, sequences, series, functions,
their limits and continuity. The main objective
is to provide rigorous proofs of the results in Calculus from
the MAT-21 sequence.
You are expected to spend
considerable time outside of class, time when you are alert and
focused, working on problems. To master the material, you must
practice a lot (understanding and remembering definitions,
theorems and proofs, solving problems). If you cannot do the
typical homework problem which inevitably consists of
proving something by the end of the quarter, I cannot in good
conscience, pass you. However most students at your level can
learn this material. At some point you will really
understand the proof of some theorem. Hopefully, you will
appreciate the innate beauty of it all. I promise to do my best
to get you there.
Ask questions both during the class, after the class if I have time and during my office hours! What to do if you do not understand the answer: ask again. I would repeat explanation several times if necessary. However on some occasions I would ask you to repeat the question after the end of the class (our time during the class is limited).
Attendance of the class is encouraged but is not
required. If you prefer, you can simply read the textbook.
However, some things I will be doing in the class are different
from the textbook.
Goals of the course.
The main goals of the course are for you to:
1. Learn rigorous foundations of calculus.
2. Train in rigorous axiomatic thinking.
3. Be able to reproduce definitions and
statements and proofs of various theorems and
definitions.
4. Be able to solve real analysis problems and present complete proofs of your solutions by appealing to definitions and theorems.
Exams:
Midterm 1: Friday, October 26,
9-9:50am, Haring 1204.
Midterm 2:
Friday, November 30, 9-9:50am, Haring 1204.
Final Exam: Thursday, December 13, 15:30-17:30, Haring 1204
Solutions for the exams, scores and
grades will be posted on CANVAS page for the class.
Grading:
Homework =20%, Midterm I =20%,
Midterm II =20%, Final Exam =40%.
There will be no makeup midterm given. If you miss a midterm for a medical reason (or another valid reason, such as a sports competition, death in the family, etc.), the final exam will count for 60% (rather than 40%) and the midterm will not count. If you miss both midterms for a valid reason, the final exam will count for 80% and the midterms will not count. There are no makeups for the homework. You must take the final exam at the scheduled time. You will not have the option to take the final exam at any other time.
All exams are "closed notes, closed book". You are not allowed laptops, tablets, cell phones (or other means of electronic communication) during the exams. If I (or a TA) see you having such a tool capable of electronic communication during an exam, it will be grounds for 0 score for the exam. If you are found cheating on an exam, you will get 0 score for this exam.
I will use curve for the final
grade but the midterms and the final are not curved.
Homework:
Homework will be assigned every
Wednesday and will be due next Wednesday, to be turned in the
class. No late submission will be accepted. I will drop the
lowest homework score when computing your grade. The first
homework will be assigned on Wednesday, October 3.
Cell phones: Turn them off before the class; repeated offenders' cell phones will be confiscated for (at least) 24 hours.
ADA Statement:
The Americans with Disabilities Act requires that reasonable accommodations be provided for students with physical, sensory, cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of the quarter to discuss any such accommodations for the course. You have to bring me a disability letter at least 7 days prior to the exam so I can make appropriate arrangements.
Important dates:
The first day of classes: Wednesday, September 27. The last day of classes is Friday, December 7. There will be no classes on Monday, November 12 (Veteran's Day) and Friday, November 23 (Thanksgiving Holiday).
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