MATH 401: Introduction to Analysis I
Spring 2004 Syllabus
Instructor: Professor Natasha Dobrinen
Oﬃce: 413 McAllister
Oﬃce Hours: To be determined.
Text: Mathematical Analysis, Binmore (Second edition).
Properties of real numbers: Chapters 1-3.
Sequences: Chapters 4-5.
Inﬁnite Series: Chapter 6.
Limits and continuity: Chapters 7-9.
If time permits, some aspects of the following may be covered:
Diﬀerentiation: Chapter 10.
Power series: Chapter 18.
Academic Integrity and Classroom/Oﬃce Hour Behavior
All Penn State policies regarding ethics and honorable behavior apply to this course.
The following is quoted directly from the “PSU Faculty Senate Policies for Students”
regarding academic integrity and academic dishonesty: “Academic integrity is the pursuit
of scholarly activity free from fraud and deception and is an educational objective of this
institution. Academic dishonesty includes, but is not limited to, cheating, plagiarizing,
fabricating information or citations, facilitating acts of academic dishonesty by others,
having unauthorized possession of examinations, submitting work of another person or
work previously used without informing the instructor, or tampering with the academic
work of other students.”
Homework must be the original, individual work of each student. Students can and
are encouraged to discuss homework problems with each other. However, each student
is responsible for submitting their own original solutions. Copied or very closely related
homework solutions will receive no credit. If you are unsure whether you and your class-
mate’s homework solutions are too similar, you must ask the instructor before turning in
Students will demonstrate respect for each other and the instructor. Rudeness toward,
belittling of, or badgering fellow classmates or the instructor will not be tolerated and will
result in a lower grade. Respect for classmates and the instructor promotes a productive
and enjoyable learning environment for all.
References: http://www.science.psu.edu/academic/Integrity/index/html and
http://www.psu.edu/ouic/orientation100/T6/frame6.html, the CONDUCT section.
Homework: 14 assignments at 25 points each = 350 points.
Midterms: 2 midterms at 150 points each = 300 points.
Final = 350 points.
Total possible points: 1000.
Final grades will be given on the following scale:
≥ 90% = A
≥ 80% = B
≥ 70% = C
≥ 60% = D
Homework is where the bulk of learning takes place. Hence, homework is worth 35%
of the course grade. Homework should be precise, correct, and neat in order to receive
full credit. Homework will be assigned each Friday and collected the following Friday at
the beginning of class (one week later). 1 point will be added to your score for stapled
homework. Homework can and should be discussed among classmates. However, solutions
must be your own original work in order to receive credit.
Late Homework and Make-up Midterms Policy
Late homework will be accepted with a penalty of 4 points per school day. (Note: If
homework is turned in the Monday after it is due, the maximum possible score will be 21
points. This is 84%, i.e. a B, so please be sure to hand in homework on time.) The only
exceptions will be school-related absences reported to the instructor at least 4 days before
the homework is due, extreme medical problems accompanied by a doctor’s note, or un-
foreseen, uncontrollable, catastrophic circumstances with the appropriate documentation,
subject to the instructor’s approval. In the latter two cases, you must notify the instructor
There will be no make-up midterms. If an unforeseen, uncontrollable, catastrophic
circumstance arises the day of a midterm, be sure to notify the instructor immediately.
Extra Credit and Available Extra Points
From time to time, extra credit homework problems will be assigned. This is the only
way to earn extra credit. Do not ask the instructor for additional extra credit assignments.
None will be given.
Each week, solutions to the previous week’s homework will be handed out in class. If
there is an error in the solutions, 5 points will be given to the ﬁrst student who notiﬁes the
instructor of the error, either by email or in person. Each student has the opportunity to
earn an extra point each week by turning in stapled homework.