Implicit function theorem. Transformations of multiple integrals. Line integrals, theorems of Green, Gauss, and Stokes. Sequences and series of functions. Uniform convergence.
M W F 1000-1050 CAB 269
R 1700-1750 CAB 457
T 1400-1450
W 1600-1650
F 1400-1450
http://www.math.ualberta.ca/~bowman/m317
Bartle, Robert G., The Elements of Real Analysis, Wiley, 2nd ed., 1976. (QA 300 B28 1964)
Buck, R. Creighton, Advanced Calculus, McGraw-Hill, 1978. (QA 303 B92)
Muldowney, James S., Lecture notes for Mathematics 217, available at
https://www.ualberta.ca/mathematical-and-statistical-sciences/media-library/undergrad-resources/lecture-notes/math317.pdf, 1999.
Fitzpatrick, Patrick M., Advanced Calculus, PWS Publishing Company, 1996.
Thomson, Brian S., Bruckner, Judith B., and Bruckner Andrew M., Elementary Real Analysis (2nd Edition), http://classicalrealanalysis.info/documents/TBB-AllChapters-Landscape.pdf, 2008.
Trench, William F., Introduction to Real Analysis,
http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF, 2013.
Wade, William R., An Introduction to Analysis, Second Edition, Prentice Hall, 2000.
| Homework | 30% | |||
| Midterm | 20% | February 27 | 10:00-10:50 | CAB 269 |
| Final | 50% | April 19 | 14:00-17:00 | C E5-36 |
| Deferred | 50% | May 6 | 09:00-11:00 |
Much of the learning in this course will be done outside the classroom, solving the exercises and homework problems. Discussion with your classmates on specific homework problems is encouraged provided that you clearly acknowledge collaborators on the last page of your assignment and that you independently write up your own solutions. Assignments may be submitted online any time on or before the given due date.
On exams, you must work independently; questions of interpretation should be directed to the instructor. There will be one midterm examination, 50 minutes in length. Assignments are weighted according to their length. To account for the possibility of missed term work, the lowest homework score will be dropped.
The final letter grade will be determined from the course mark based on an absolute standard, taking into the account the difficulty of the exams. Assigned grades are unofficial until approved by the Department of Mathematical Sciences and Faculty of Science.
Your student photo I.D. is required at exams to verify your identity. Students will not be allowed to begin an examination after it has been in progress for 30 minutes. Students must remain in the exam room until at least 30 minutes has elapsed. Electronic equipment, including cell phones, must be turned off and stored out of sight. Cell phones are to be turned off during lectures, labs, and seminars.
A student who cannot write the final examination due to incapacitating illness, severe domestic affliction, or other compelling reasons can apply for a deferred final examination. Such an application must be made to the student's Faculty office within two working days of the missed examination and must be supported by appropriate documentation or a Statutory Declaration. Deferred examinations are a privilege and not a right; there is no guarantee that a deferred examination will be granted. Misrepresentation of facts to gain a deferred examination is a serious breach of the Code of Student Behaviour.
There will be no deferred midterms.
For an excused absence where the cause is religious belief, a student must contact the instructor(s) within two weeks of the start of class to request accommodation for the term (including the final exam, where relevant). Instructors may request adequate documentation to substantiate the student request. Students who at the start of term fail to request exam accommodations for religious beliefs are expected to follow the deferred final examination process outlined above.
Material related to this course, including sample midterm and final exams, will be posted on the web page noted above. Additional material may be occasionally sent by email to your official U of A email address. If you do not regularly read your U of A email, it is your responsibility to forward your U of A email to your preferred email account.
Audio or video recording, digital or otherwise, of lectures, labs, seminars, or any other teaching environment by students is allowed only with the prior written consent of the instructor or as a part of an approved accommodation plan.
The office hours will typically be recorded and posted to eClass and deleted once the course is over. To access the recordings, click on Online Classroom and then Cloud Recordings (paste in the passcode that is automatically copied to your clipboard). These recordings are made available under the following conditions:
All forms of academic dishonesty are unacceptable at the University. Any suspected offence will be reported to the Faculty of Science. Anyone who is found in violation of the Code of Student Behaviour may receive a sanction. Typical sanctions include conduct probation, a mark reduction or a mark of zero on an assessment, a grade reduction or a grade of F in a course, a remark on the transcript, and a recommendation for suspension or expulsion.
Students are expected to familiarize themselves with University of Alberta Academic Integrity resources (covering the topics of cheating, collaboration, plagiarism, and substantial assistance):
https://www.ualberta.ca/current-students/academic-resources/academic-integrity/index.html