### MATH-301 SYLLABUS, FALL 2014 Instructor. Ching

```MATH-301 SYLLABUS, FALL 2014
Instructor. Ching-Jui Lai. (Ray)
Math 850. TEL:(765)-496-7968. [email protected]
Sessions/Location.
(061) T. Th. 10:30 AM-11:45 AM, UNIV 103.
(071) T. Th. 12:00 PM-01:15 PM, UNIV 117.
Office Hour.
• M. 4:00 pm to 5:30 pm.
• W. 10:00 am to 11:30 am.
• By appointment.
Textbook. Analysis With an Introduction to Proof, Fifth Edition Steven R. Lay
Course Webpage. You can find information of this course on the course webpage.
http://www.math.purdue.edu/∼lai37/2014F− MA301/MA301.html
Course description. An introduction to abstract reasoning in the context of real
analysis. Topics may include axioms for the real numbers, mathematical induction, formal definition of limits, density, decimal representations, convergence of
sequences and series, continuity, differentiability, the extreme value, mean value
and intermediate value theorems, and cardinality. The emphasis, however, is more
on the concept of proof than on any given topic.
In the first half of the semester, the course is devoted to understand the concept and the structure of proof. We will practice on how to write mathematical
arguments. The second half of the semester we focus on the context of real analysis.
There are 28 lectures, 2 midterms, 1 final, with 15 homework sets, and 15 quizzes.
Homework. To write a mathematical proof requires a lot of exercises. It is unavoidable to do many homework. The plan is to have around 10-15 problems
each week.
• Due every Tuesday at the beginning of the class. Due is strict.
Late=50%. Missing HW=0%, NO MAKE UP.
Each HW has at least a weekend to finish.
There are 15 homework sets in total.
Quiz. We will have a quiz once a week. The problems are chosen from homework
and the class material covered in the previous week with small variation. There are
in total 15 quizzes.
1
2
MATH-301 SYLLABUS, FALL 2014
Midterms and Final. There are two midterms in the semester.
• Midterm 1: October 9th, in class.
• Midterm 2: November 11th, in class.
There is one final. The date and place will be announced two weeks before the end
of semester.
• Final: To be announced.
The final is largely dependent on the homework and quizzes. The goal of course
is to ensure that everyone knows how to write a complete mathematical proof.
Homework Quiz Midterm 1 Midterm 2 Final Total
•
Points
100
100
100
100
200
600
• There can be adjustment of Total points according to in class performance
including attendance and discussion participation.
• The total points is accumulative. This means that no homework or quizzes
should be overlooked.
• The lowest 3 homework and the lowest 3 quizzes will be dropped from
A
B
C
D
E
•
Percentile
≥ 90% 80% ∼ 89% 70% ∼ 79% 65% ∼ 69% < 65%
Class Rules. Respect people and don’t make unnecessary noise in class.
Turn cell phone to silence.
Please speak outside of classroom if necessarily.
Food allowed with no chewing sound or strong smell.
You are encouraged to ask questions related to class/teaching!
Exam Rules. PUID check.
No portable electronic device allowed; Turn off cell phone.
Makeup. Provided necessary document for your absence to get approval.
Schedule a time with the instructor.
Makeup exam must be done during the same week of the midterms.
CHEATING. STRICTLY PROHIBITED!
No points will be accumulated if cheating is approved.
Purdue University faculty and students commit themselves towards maintaining
a culture of academic integrity and honesty. The students taking this exam are not
allowed to seek or obtain any kind of help from anyone to answer questions on this
test. If you have questions, consult only an instructor or a proctor. You are now
allowed to look at the exam of another student. You may not compare answers with
anyone else or consult another student until after you finish your exam and hand it
in to a proctor or to an instructor. You may nor consult notes, books, calculators,
cameras, or any kind of communications device until after you finish your exam
and hand it in to a proctor or to an instructor. If you violate these instructions
you will have committed an act of academic dishonesty. Penalties for academic
dishonesty can be very severe and may include an F in the course. All cases of
academic dishonesty will be reported to the office of the Dean of Students. Your
instructor and proctors will do everything they can to stop and prevent academic
MATH-301 SYLLABUS, FALL 2014
3
dishonesty during this exam. If you see someone breaking these rules during the
exam, please report it to the proctor or to your instructor immediately. Reports
after the fact are not very helpful.
Calculator. No calculator needed in class and allowed in exams.
Accommodations for students with Disabilities. The Department of Mathematics offers alternative testing environments for students who are registered with
Disability Resource Center. Students who need accommodations must deliver a
Services Office (MATH 242) and request an information sheet for their course.
Memorandums should be delivered to the Undergraduate Services Office (MATH
242) within one week of receipt from the Disability Resource Center. The Information Sheet explains the process for receiving exam accommodations for your
mathematics course. Enlarge copies of the information sheets are available upon
request. Students currently undergoing evaluation through the Disability Resource
Center should also request an information sheet from the Undergraduate Services
Office (MATH 242).
Emergency. In the event of a major campus emergency, course requirements,
deadlines and grading percentages are subject to changes that may be necessitated
by a revised semester calendar or other circumstances beyond the instructors control. Here are ways to get information about changes in this course.
• Course web page: http://www.math.purdue.edu/∼lai37/2014F− MA301/MA301.html
• Instructors email: [email protected]
• Instructors office number: (765)-496-7968
MA 301 FALL 2014 SEMESTER
Monday
August 25
Tuesday
Wednesday
Thursday
Friday
26
27
28
29
September 1
2
3
4
5
Labor Day
Homework 1/Quizz 1
10
11
12
17
18
19
24
25
26
October 1
2
3
8
9
10
First Day of Class
No Class
September 8
9
Homework 2/Quiz 2
September 15
16
Homework 3/Quiz 3
September 22
23
Homework 4/Quiz 4
Septermber 29
30
Homework 5/Quiz 5
October 6
7
Homework 6/Quiz 6
October 13
14
OCTOBER BREAK
OCTOBER BREAK
No class
No class
October 20
21
1st Mid-term
15
16
17
Homework 7/Quiz 7
22
23
24
29
30
31
5
6
7
12
13
14
19
20
21
Homework 8/Quiz 8
October 27
28
Homework 9/Quiz 9
November 3
4
Homework 10/Quiz 10
November 10
11
Homework 11/Quiz 11
November 17
18
Homework 12/Quiz 12
November 24
December 1
2nd Mid-term
25
26
27
28
Homework 13/Quiz 13
Thanksgiving
Thanksgiving
Thanksgiving
No class
No class
No class
3
4
5
10
11
12 Last day of class
2
Homework 14/Quiz 14
.
December 8
9
Homework 15/Quiz 15
December 15
16
17
18
19
Final Exam Week
Final Exam Week
Final Exam Week
Final Exam Week
Final Exam Week
```