Mathematics 320 (Real Variables I), Fall 2016

Section 102: Prof. I. Laba, MWF 9:00-9:50, BUCH A103 Textbook: W. Rudin, Principles of Mathematical Analysis, 3rd edition, McGraw-Hill,

Calendar description: The real number system; real Euclidean n-space; open, closed, compact, and connected sets; Bolzano-Weierstrass theorem; sequences and series. Continuity and uniform continuity. Differentiability and mean-value theorems.

Prerequisites: Either (a) a score of 68% or higher in MATH 226 or (b) one of MATH 200, MATH 217, MATH 226, MATH 253, MATH 263 and a score of 80% or higher in MATH 220.

Course web pages: Detailed syllabus (for both sections): available here

Your course mark will be based on homework (30%), one midterm exam (20%), and the final exam (50%). The grades may be slightly scaled at the end of the course.

Examinations: There will be one in-class 50-minute midterm, scheduled on Friday, October 21, and a 2.5 hour final exam in December. The date of the final examination will be announced by the Registar later in the term. Attendance at the final examination is required, so be careful about making other committments (such as travel) before this date is confirmed. All examinations will be strictly closed-book: no formula sheets, calculators, or other aids will be allowed.

Homework assignments: All problem sets and solutions will be posted here. Homework will be assigned weekly or biweekly, depending on the pace of the course. Each homework will be announced and posted here at least a week in advance. The homeworks are due in class on the due date. If you cannot come to class, you may drop off your homework at your instructor's office on the day before it is due. Late assignments will not be accepted. Solutions will be posted on the course webpage immediately after the lecture. To allow for minor illnesses and other emergencies, the lowest homework score will be dropped.

Solutions to textbook problems: There are solutions to Rudin's exercises available on many websites, for example here. You can use these for your own practice, but please be aware that we have not checked any of them and cannot vouch for their correctness. Use your own judgement.

Academic concession: Missing a midterm, or handing in a homework after the deadline, will result in a mark of 0. Exceptions may be granted in two cases: prior consent of the instructor, or a documented medical reason. Your course mark will then be based on your remaining coursework.

Additional links and resources:
[Mathematics Department] [University of British Columbia]