Real Variables I
(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.
|| firstname.lastname@example.org |
| Office || Math 221|
| Phone || 604-822-5660|
| Home page || http://www.math.ubc.ca/~feldman/|
| Office hours ||
Monday 10:00-11:00, Tuesday 10:00-11:00, Thursday 11:00-12:00
| Location of lectures || BUCH A104 |
| Time of lectures || Monday, Wednesday, Friday 9:00-9:50 |
Walter Rudin, Principles of Mathematical Analysis, third edition.
I will post all handouts, problem sets, etc. on the web
rational, real and complex numbers
supremum, infimum, completeness
Sequences and Series of Real Numbers
limits of sequences, algebra of limits
Cauchy sequences, liminf, limsup
limits of series, convergence tests, absolute and conditional convergence
Metric Spaces (§2):
convergence, completeness, completion
open sets, closed sets, compact sets, Heine Borel Theorem
continuity and compactness, existence of
minimizers and maximizers, uniform continuity
continuity and connectedness, Intermediate Value Theorem
monotone functions and discontinuities
Mean Value Theorem
There will be two midterms (on Wednesday, October 1 and Wednesday, November 5),
each accounting for about 20% of the final mark.
There will be weekly problem sets accounting for about 10% of the final mark.
The final exam will account for about 50% of the final mark.
Grades will probably be scaled.
The midterm and final examination will be strictly
closed book: no formula sheets or calculators will be allowed.
Late homework assignments receive a grade of 0.
Missing a homework or midterm normally results in a mark of 0.
Exceptions may be granted in two cases: prior consent of the instructor
or a medical emergency. In the latter case, the instructor must be
notified within 48 hours of the missed test, and presented with a doctor's
note immediately upon the student's return to UBC. When an exception is
granted for a missed midterm, there is no make-up midterm, and
the final exam mark will be used instead.