Class: :
Section
02I and 03I
Time: 8:00-10:30 am on Friday
Location: Section
02I is at ENGINEERING
BUILDING 1.262,
and Section 03I
is at
SABAL HALL #96 2.110,
Date Range: January
13 - May 07, 2020
Instructor: Mrinal
Kanti Roychowdhury, MAGC Building 3.702
Phone: (956) 665-3555; Email: mrinal.roychowdhury@utrgv.edu
Webpage: http://faculty.utrgv.edu/mrinal.roychowdhury/
Office
Hours:
Monday
and Wednesday
1:00
pm - 2:00 pm, and 3:15
pm - 4:15 pm
Book Currently Used: ANALYSIS (with an introduction
to proof, Fifth Edition), by
Steven R. Lay.
Section
Covered: Chapters
2, 3, 4, 5, 8, 9; Chapters 6 and 7 are optional.
Topics: Sets
and Functions, The Real Numbers, Sequences, Limits and
Continuity, Infinite Series, Sequences and Series of
functions.
Course Description: This
course presents a rigorous introduction to the elements of
real analysis. Student Learning Outcomes
(Course Goals): After
completing this course students will be able to
Understand the intellectual structure of
differential calculus and its major theorems,
definitions, axioms, and problems;
Understand the definitions, axioms, and
major theorems underlying the terms sequence,
series, limit, continuity, derivative, and
convergence as these concepts relate to real
numbers and real-valued functions of a real
variable;
Apply the concepts of sequence, series,
limit, continuity, derivative, and convergence to
solve problems in which their use is fundamental
to obtaining and understanding the solution;
Understand what constitutes a valid proof
of results in real analysis and learn how to
create such proofs;
Write mathematics in a precise, effective,
and understandable way.
Instructions:
Attendance
Required: Any student who accumulates the equivalent
of three
(3) hours of absences, excused or
unexcusedmay
be withdrawn from the class with the grade "DF". Three (3)
tardies will count as one (1) absence.
A tardy is defined as entering class after the
starting time OR leaving the class early. Time lost
from a QUIZ
or TEST
due to tardiness will not be made up.
Home Work: HW is
due on almost every Wednesday. HW should be neat and
clean, pages stapled together, with the name, section
number and HW# written legibly on the right hand
corner of the first sheet of the HW. Please do the
problems in the order of them being assigned and make
sure to show ALL of your work. No late HW will be
accepted. Students must have the Instructor’s
permission before submitting late work. Note that from
each of the HW a couple of problems may be selected
randomly, which will be graded. HW may be replaced by
class quiz based on the assigned HW.
Students
are responsible for all reading materials.
Students are expected to attend all classes
regularly. If you miss any meeting, it is the
Student's responsibility to get class notes from
another student.
There will be NO MAKE-UP EXAMS
given. Students who know they will miss a class
test/exam for an excusable reason must inform the
instructor before or on the day of the test/exam
through phone or e-mail; otherwise, absence will be
considered unexcused and a zero will be given.
Cell Phone: Cell phone
needs to be turned off during the class or
test period. Handling with the cell phone
during a test is strictly prohibited.
Laptops: Students are not
allowed to turn on their laptops or any noise
making device during the class time without
the special permission of the instructor.
STUDENTS
WITH DISABILITIES: Students
with a documented disability (physical, psychological,
learning, or other disability which affects academic
performance) who would like to receive academic
accommodations should contact Student Accessibility
Services (SAS) for additional information. In order
for accommodation requests to be considered for
approval, the student is responsible for providing
sufficient documentation of the disability to SAS and
participating in an interactive discussion with SAS
staff. Accommodations may be requested at any time but
are not retroactive. Please contact SAS early in the
semester/module for guidance. Students who experience
a broken bone, severe injury, or undergo surgery may
also be eligible for temporary accommodations.
CALENDER
ACTIVITIES:
January 13 First day of
classes
January 16 Last day to add
a course or register for Spring 2020
January 20 Martin Luther
King Jr. Holiday – NO classes
March 9-14 Spring Break –
NO classes
April 9 Last day to
drop a course; will count toward the 6-drop rule
April 10-11 Easter Holiday
– NO classes
April 30 Study Day –
NO classes
May 1-7 Final Exams
May 7 Spring classes
end; Official last day of the term
May 8-9 Commencement
Exercises
MANDATORY
COURSE EVALUATION PERIOD:
Students are required to complete an ONLINE
evaluation of this course, accessed through your UTRGV
account (http://my.utrgv.edu); you will be contacted
through email with further instructions.
Students who complete their evaluations will have
priority access to their grades. Online evaluations
will be available on or about:
Module 1 February
19-25, 2020
Module 2 April 15-21,
2020
Full Spring Semester April
10-29, 2020
SEXUAL
MISCONDUCT and MANDATORY REPORTING:
In
accordance with UT System regulations, your instructor
is a “Responsible Employee” for reporting purposes
under Title IX regulations and so must report to the
Office of Institutional Equity & Diversity (oie@utrgv.edu) any
instance, occurring during a student’s time in
college, of sexual misconduct, which includes sexual
assault, stalking, dating violence, domestic violence,
and sexual harassment, about which she/he becomes
aware during this course through writing, discussion,
or personal disclosure. More information can be found
at www.utrgv.edu/equity, including
confidential resources available on campus. The
faculty and staff of UTRGV actively strive to provide
a learning, working, and living environment that
promotes personal integrity, civility, and mutual
respect that is free from sexual misconduct,
discrimination, and all forms of violence. If
students, faculty, or staff would like confidential
assistance, or have questions, they can contact OVAVP
(Office for Victim Advocacy & Violence Prevention)
at 665-8287, 882-8282, or OVAVP@utrgv.edu.
COURSE
DROPS:
According
to UTRGV policy, students may drop any class without
penalty earning a grade of DR until the official
drop date. Following that date, students must be
assigned a letter grade and can no longer drop the
class. Students considering dropping the class
should be aware of the “3-peat rule” and the
“6-drop” rule so they can recognize how dropped
classes may affect their academic success. The
6-drop rule refers to Texas law that dictates that
undergraduate students may not drop more than six
courses during their undergraduate career. Courses
dropped at other Texas public higher education
institutions will count toward the six-course drop
limit. The 3-peat rule refers to additional fees
charged to students who take the same class for the
third time.
Grading Policy:
10%
from home work and Quiz, 25% from each
of the two class tests, 40% from the
final, total 100%.