tutoring
sessions
when:
each week
Tuesdays 1:20 - 2:20 p.m.
Fridays 12 - 1 p.m.
where:
SHER 148C
no tutoring session on Tuesday March 27
MATH 301/03 [6307], Spring 2018
Introduction to Mathematical Analysis I
Course information
| Course: | MATH 301/03 [6307]:
Introduction to Mathematical Analysis I |
| Time/Place: | TTh 7:10pm-8:55 pm, Sond 202
|
| Instructor: | Dr.
Jacob Kogan
|
Grader: |
Matthew Kousoulas
|
| Office: |
MP 427 |
|
|
|
| Phone: | 410-455-3297 |
| Email: |
kogan at math.umbc.edu |
|
kous1@umbc.edu
|
| Office hours: |
TTh 4:45pm-5:30pm and by appointment |
|
|
|
Textbook
Introduction to Real Analysis
(fourth edition)
by Robert G. Bartle and Donald R. Sherbert,
John Wiley, 2010.
(you may want to check
chegg, or
fetchbook)
Course Description
This course deals with the theory of the real line and with
functions on the real line. You will study in details topics which are
crusial for the development of calculus and which are only
briefly cited in Math 151 and Math 152. An important goal of this course
is to prepare you for the study of other areas of mathematics.
To that end,
in addition to the substance of real analysis,
the reading, writting and reasoning of formal proofs are
emphasized throughout the course.
Appendix A and most of
the Chapters 1-6 and Chapter 11
will be covered.
The syllabus may be modified if necessary as class progresses.
The course emphasis is on rigorous mathematical reasoning (proofs).
It is a difficult
course that requires a good deal of
time
and
effort.
Doing all the homework problems and participating in the
class discussions is a must.
The following books are a good source for problems:
-
« A First Course in Real Analysis » by S.K. Barberian
-
« Introduction to Real Analysis » by S. Lay
-
« Introductory Mathematical Analysis » by W. Kosmala
To succeed in the class one should:
-
preview each section before it is covered in class,
-
actively participate in each class,
-
form and participate in a study group,
-
to work out each problem, discuss it in study group if needed;
-
do and hand in each assignment on time.
Homework, Quizzes, Tests, and Grading
Homework
-
Weekly homework will be assigned on Thursday and collected the following
Thursday.
-
Please staple your homework, and present the problems in the order
assigned.
-
No late homework will be accepted.
Quizzes, Tests, and Grading
The final grade will be based on
three quizzes (30 pt each), and the comprehensive final (60 pt).
| Date |
Points |
Topic |
Solutions |
|
Quiz 1, Thursday, March 1
|
30 pt |
Sec. 1.1-1.3, 2.1-2.4
|
quiz 1
|
|
Quiz 2, Thursday, April 5
|
30 pt |
Sec. 2.5, 3.1, 3.2
|
quiz 2
|
|
Quiz 3, Tuesday, May 8
|
30 pt |
Sec. 3.3-3.6
|
quiz 3
|
|
Final, Thursday, May 17
|
60 pt |
material of 3 quizzes and Sec. 3.7, 4.1-4.3.
|
final
|
The final exam is from 8:30 pm through 10:30 pm on Thursday,
May 17, 2018.
There will be no make up quizzes or tests.
Letter grade cutoffs are expected to be the following:
| Percentage |
≥ 90% |
89% ≥ and ≥ 80% |
79% ≥ and ≥ 70% |
69% ≥ and ≥ 60% |
59% ≥ |
| Letter Grade |
A |
B |
C |
D |
F |
Remember: Mathematics is NOT a spectator sport.
Read through the relevant section of the text (and look over
all
the assigned problems) before each lecture.
James Dibble guidelines for writing proofs
[
Extra Credit Problems
]
sample
test 1
and
test 2
and
test 3
Homework Assignments
-
HW #1, due Thursday, February 8, 2018
[solutions]
-
Sec. 1.1, p. 10: 1, 7, 9, 16
-
Sec. 1.2, p. 15: 1, 5, 9, 18, 19
-
HW #2, due Thursday, February 15, 2018
[solutions]
-
Sec. 1.3, p.22: 4, 7, 10, 12, 13
-
Sec. 2.1, p. 30: 1, 2
-
HW #3, due Tuesday, February 27, 2018
[solutions]
-
Sec. 2.1, p. 30: 4, 6, 9, 20, 21, 23
-
Sec. 2.2, p. 35: 3, 5, 7, 12, 14, 16, 19
-
HW #4, due Thursday, March 1, 2018
[solutions]
-
Sec. 2.3, p. 39: 3, 4, 5(c), 6, 7, 8, 11, 14
-
Sec. 2.4, p. 44: 3, 4, 10, 14, 17, 19
-
No HW due Thursday, March 8, 2018
-
HW #5, due Thursday, March 15, 2018
[solutions]
-
Sec. 2.5, p. 52: 7, 8, 9, 14, 17
-
Sec. 3.1, p. 61: 5, 7, 8, 10, 17, 18
-
No HW due Thursday, March 29, 2018. Enjoy the Break!
-
HW #6, due Thursday, April 5, 2018
[solutions]
-
Sec. 3.2, p. 69: 6(c),(d), 7, 9, 12, 15, 22, 23
-
HW #7, due Thursday, April 19, 2018
[solutions]
-
Sec. 3.3, p. 77: 4, 8, 9, 11, 12
-
Sec. 3.4, p. 84: 3, 6, 8, 12, 14
-
HW #8, due Thursday, April 26, 2018
[solutions]
-
Sec. 3.4, p. 84: 9, 11, 17, 19
-
HW #9, due Thursday, May 3, 2018
[solutions]
-
Sec. 3.5, p. 91: 2, 5, 11, 13
-
Sec. 3.6, p. 93: 2, 3, 7, 10
-
No HW due Thursday, May 10, 2018. Get ready for the quiz.
The Official UMBC Honors Code
By enrolling in this course, each student assumes the responsibilities
of an active participant in UMBC's scholarly community in which
everyone's academic work and behavior are held to the highest standards
of honesty. Cheating, fabrication, plagiarism, and helping others to
commit these acts are all forms of academic dishonesty, and they are
wrong. Academic misconduct could result in disciplinary action that
may include, but is not limited to, suspension or dismissal.
To read the full Student Academic Conduct Policy, consult the UMBC Student
Handbook, the Faculty Handbook, the UMBC Integrity webpage
www.umbc.edu/integrity, or the Graduate School website
http://www.umbc.edu/gradschool/procedures/integrity.html.