Axiomatic development of the real number system. Topology of . Sequences, limits, and continuity. Multi-variable calculus: differentiation and integration, including integration in spherical and polar coordinates. The differential and the chain rule. Taylor's Formula, maxima and minima. Introduction to vector field theory.
M W F 1000-1050 CAB 269
R 1700-1750 CAB 269
TBA CAB 521
Tel: 780-492-0532
Email: bowman@ualberta.ca
WWW: http://www.math.ualberta.ca/~bowman/m217
http://www.math.ualberta.ca/~bowman/m217
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
http://www.math.ualberta.ca/honors/files/math217.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 | 25% | October 16 | 10:00-10:50 CAB 269 |
| Final | 45% | December 15 | 09:00-12:00 CAB 269 |
| Deferred | 45% | January 9 | 09:00-11:00 CAB 357 |
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 any time on or before the given due date in the box provided on the third floor of CAB. Please put your name on the first page of your assignment (it will be handed back directly to you during class).
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 maximum possible homework score will be reduced by the average assignment weight.
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 cannot be brought into examination rooms. Cell phones are to be turned off during lectures, labs and seminars. Cell phones are not to be brought to exams.
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 48 hours of the missed examination and must be supported by a Statutory Declaration (in lieu of a medical statement form) or other appropriate documentation (Calendar section 23.5.6). Deferred examinations are a privilege and not a right; there is no guarantee that a deferred examination will be granted. While a student who writes the final examination and fails the course may apply for a re-examination, such re-examinations are rarely granted in the Faculty of Science. These exams are governed by University (Calendar section 23.5.5) and Faculty of Science Regulations (Calendar section 192.5.9). Misrepresentation of Facts is a serious breach of the Code of Student Behaviour.
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. Instructions for doing this are available on the course web page.
Classroom interaction and questions are welcomed during the lectures!
Academic Integrity:
The University of Alberta is committed to the highest standards of academic integrity and honesty.
Students are expected to be familiar with these standards regarding academic honesty and to uphold the policies of the University in this respect.
Students are particularly urged to familiarize themselves with the provisions of the Code of Student Behaviour (online at www.governance.ualberta.ca)
and avoid any behaviour which could potentially result in suspicions of cheating, plagiarism, misrepresentation of facts and/or participation in an offence.
Academic dishonesty is a serious offence and can result in suspension or expulsion from the University.
All forms of dishonesty are unacceptable at the University. Any offense will be reported to the Senior Associate Dean of Science who will determine the disciplinary action to be taken. Cheating, plagiarism and misrepresentation of facts are serious offenses. Anyone who engages in these practices will receive at minimum a grade of zero for the exam or paper in question and no opportunity will be given to replace the grade or redistribute the weights. As well, in the Faculty of Science the sanction for cheating on any examination will include a disciplinary failing grade (no exceptions) and senior students should expect a period of suspension or expulsion from the University of Alberta.
Excused Absence Where the Cause is Religious Belief:
For an excused absence where the cause is religious belief,
a student must contact the instructor(s) within two weeks of the start of Fall or Winter classes
to request accommodation for the term (including the final exam, where
relevant). Instructors may request adequate documentation to substantiate the student request.
Students registered with Student Accessibility Services (SAS):
Eligible students have both rights and responsibilities with regard to
accessibility-related accommodations. Consequently, scheduling exam
accommodations in accordance with SAS deadlines and procedures is
essential. Please note adherence to procedures and deadlines is required
for the U of A to provide accommodations. Contact SAS
www.ssds.ualberta.ca for further information.
Student Success Centre:
Students who require additional help in developing strategies for better time management,
study skills, or examination skills should contact the Student Success Centre
(2-300 Students' Union Building).
Decima Robinson Support Centre for Mathematical & Statistical Sciences:
Students who require additional help with assignments or have questions about the course material in general
are encouraged to visit the Decima Robinson Support Centre (528 Central Academic Building).
Graduate students will be available to provide one-on-one help.
In order to get maximum help during each visit, students are asked to be specific about the problem with which they are seeking help.
The Centre is open Monday to Friday, 9:00-15:00.