Add/drop deadline: Feb 3, Withdraw deadline: March 27
Text: Stephen Abbott, Understanding
Analysis, Second Edition, Springer-Verlag Press, New York, 2015.
Course goal: This course will provide an
understanding of the real number system and of real-valued functions of a
single real variable. The focus will be on the theoretical and logical
foundations of single variable calculus, and on training in the
discovering and writing of mathematical proofs.
Content: topology, order, completeness of
the real numbers, continuity, differentiability, integrability, and
convergence of sequences and series of functions.
Exams: There will be two mid-term exams (80 min each) on March 7 (Tuesday) and
April 18 (Tuesday). Make-up tests are only given in extreme
circumstances such as documented serious illness or personal circumstance.
I must review such cases prior to
the start of the test.
Final Exam: A comprehensive final exam will be
held on Wednesday
May 10, 9-12am. Location: Jones Hall 306
Homework: There will be weekly homework
assignments. We cannot emphasize the importance of homework enough. Although
understanding material while you read the text or listen to lecture is
certainly important, your most important studying will be in completing
the homework assignments. Perhaps the most fundamental part of this course
is learning how to write and read precise mathematical ideas. Part of
writing precise mathematical ideas is writing complete sentences with
correct grammar. Homework will be assigned and submitted through Gradescope (access from Blackboard site). It is
usually due Friday midnight. Two lowest homework scores will be dropped.
You are encouraged to discuss homework with other people, but you must
write up the homework by yourself. Selected problems will be graded, but
completeness will be checked.
LaTeX:You are required to use LaTeX to type
your homework. LaTeX is a programming language to type texts with math
content. You need to use some text editor to compile your .tex file, then use a latex compiler to typeset your
Calculators: Electrical calculators are not
allowed in midterm and final exams.
Attendance: Attendance of classes is required.
If you have any illness and other situations preventing you from attending
classes, you should notify the instructor before the class. The student is
responsible for acquiring class notes for any missed lectures (instructor
will post lecture notes on Blackboard but it may be slightly different
from the class ones)
Grading: Your final grade is calculated as
follows: Homework 40%; Mid-term Exams 30% (15% each); Final Exam: 30%. The letter grade is assigned using the scale: A
> 93 > A- > 90 > B+ > 87 > B > 83 > B- > 80>
C+ > 77 > C > 73 > C- > 70 > D+ > 67 > D > 63
> D- > 60 > F
Honor Code: William & Mary has had an honor
code since at least 1779. Academic integrity is at the heart of the
university, and we all are responsible for upholding the ideals of honor
and integrity. The student-led honor system is responsible for
resolving any suspected violations of the Honor Code, and I will report
all suspected instances of academic dishonesty to the honor system. The
Student Handbook (www.wm.edu/studenthandbook)
includes your responsibilities as a student and the full Code. Your full
participation and observance of the Honor Code is expected. To read the
Honor Code, see www.wm.edu/honor
ADA accommodation: William & Mary accommodates
students with disabilities in accordance with federal laws and university
policy. Any student who feels s/he may need an accommodation based on the
impact of a learning, psychiatric, physical, or chronic health diagnosis
should contact Student Accessibility Services staff at 757-221-2509 or at
email@example.com to determine if accommodations are warranted and to obtain an official
letter of accommodation. For more information, please see http://www.wm.edu/sas
Mental and Physical Well-Being:William & Mary recognizes that students juggle
different responsibilities and can face challenges that make learning
difficult. There are many resources available at W&M to help
students navigate emotional/psychological, physical/medical, material/accessibility
W&M Counseling Center at (757) 221-3620. Services are free and
W&M Health Center at (757) 221-4386.
<![if !supportLists]>·<![endif]>For additional support or resources &
the Dean of Students at (757) 221-2510.