Lecture
Time: 2:00pm – 3:50pm (MW) Location: Daniels College of
Business 340
Prerequisite: Math 2080 and
Math 2200
Instructor:
Mei Yin mei.yin@du.edu
Office and Office Hours: Zoom, 3:00pm – 4:30pm (TR), or by
appointment
TA: Alex
Stevens alex.stevens@du.edu
Office and Office Hours:
Zoom, 1:00pm – 2:00pm
(MF), or by appointment
Math Center
Hours: 10:00am –
11:00am (TR)
Lecture Schedule: Here is a plan of the
course (may be altered for pedagogical reasons as the
course develops).
Ch. 1: The Real Numbers |
2 weeks |
Ch. 2: Sequences and Series |
4 weeks |
Ch. 3: Basic Topology of R |
2 weeks |
Ch. 4: Functional Limits and Continuity |
2 weeks |
Course Description: Topics of study will
include a theoretical introduction to the structure of
real numbers, to convergence of sequences and series,
and to the topology of the real line, including limits
and continuity.
Tentative Calendar:
The Week Of |
Material Covered |
March 31 – April 2 |
Introduction |
April 5
– April
9 |
1.1, 1.2, 1.3 |
April 12
– April 16 |
1.4, 1.5 |
April 19
– April 23 |
2.1, 2.2, 2.3 |
April 26
– April
30 |
2.3, 2.4, Review |
May 3 – May
7 |
Midterm, 2.5 |
May 10
– May
14 |
2.6, 2.7 |
May 17
– May
21 |
2.8, 3.1, 3.2 |
May 24
– May
28 |
3.2, 3.3, 4.1 |
June 1
– June 4 |
4.2, 4.3, Project Presentation |
June 7
–
June 8 |
Project Presentation |
Homework
will be assigned about once a week. All communication will
be paperless. Homework should be turned in via
Canvas and the due date is every Monday at the
beginning of the class. Homework
that is turned in on Tuesday (i.e. one day
late) will be graded with 25% penalty.
Homework that is turned in on
Wednesday (i.e. two days late) will be graded with 50%
penalty. Homework more than two
days late will not be accepted. The six highest
homework scores will contribute to 30% of your final
grade.
A midterm is
tentatively scheduled during
class time on Monday,
May 3. It will be administered remotely and
monitored via Zoom or Respondus LockDown Browser. Your
webcam must be operational and positioned so that your
hands and entire workspace are visible. I reserve the
right to require an oral examination during a live video
conference on Zoom in order for you to justify any work
that you have submitted. If you foresee any issues with
this policy based on your testing environment, please
notify me as soon as possible.
Final project presentation is
scheduled for the last
two weeks of classes and happens via Zoom. The project may
be targeted towards either the theoretical or
the applied aspect of analysis and is due on Tuesday,
June 8.
Makeup presentations will only be offered in the event of
extreme circumstances. If you think you have a problem which
will force you to miss the presentation, please come talk to
me as soon as possible.
Help: Additional
handouts will be distributed throughout the quarter.
Students are also encouraged to ask for individualized
help from the instructor at any time.
Students
with Disabilities: If you qualify for academic
accommodations because of a disability or medical issue,
please submit a faculty letter to me from Disability
Services Program (DSP) in a timely manner so that your
needs may be addressed. DSP determines accommodations
based on documented disabilities/medical issues. DSP is
located on the 4th floor of Ruffatto Hall, 1999 E Evans
Ave, 303-871-2278. Information is also available online
at http://www.du.edu/disability/dsp;
see the Handbook
for Students with Disabilities.
Religious
Accommodations: University policy grants students
excused absences from class or other organized
activities for observance of religious holy days, unless
the accommodation would create an undue hardship.
Faculty are asked to be responsive to requests when
students contact them in
advance to
request such an excused absence. Students are
responsible for completing assignments given during
their absence, but should be given an opportunity to
make up work missed because of religious observance.
Once a student has registered for a class, the student
is expected to examine the course syllabus for potential
conflicts with holy days and to notify the instructor by
the end of the first week of classes of any conflicts
that may require an absence (including any required
additional preparation/travel time). The student is also
expected to remind the faculty member in advance of the
missed class, and to make arrangements in advance (with
the faculty member) to make up any missed work or
in-class material within a reasonable amount of time.