Instructor:
Wenbin Li
Email:
wenbinli@math.msu.edu
Website:
http://www.math.msu.edu/~wenbinli/
Lectures: Tue,
Wed, Fri, 10:20-12:10 am in A124 WH
Office Hours:
Tue, Wed, Fri, 4:00-5:00 pm in C325 WH
Textbook:
Kenneth A. Ross, Elementary Analysis: The Theory of Calculus
(Undergraduate Texts in Mathematics), Second Edition.
Download Book: https://link-springer-com.proxy1.cl.msu.edu/book/10.1007/978-1-4614-6271-2
Course Description: Analysis
I
Tentative Schedule and
Assignments
Prerequisites and Topics:
The prerequisites for the
class are (MTH 133 or MTH 153H or LB 119) and (MTH 299 or MTH 317H or approval
of department). The course will cover most of Chapters 1-5 of the text,
including properties of the real numbers, limits of sequences and series,
limits and continuity, properties of continuous functions, derivatives in one
variable, sequences and series of functions, power series and uniform
convergence. The main objective of the course is to obtain a deep understanding
of the theory that underlies single-variable calculus. By the end of this
course, students should be able to demonstrate the ability to read and write
mathematical proofs for real analysis.
Homework:
Homework is assigned on each Friday and collected on
the next Friday; the homework covers materials of Wednesday, Friday and the
next Tuesday. Homework should be submitted in class, no late homework is
accepted. A few problems from each assignment will be graded, and I'll not
announce which problems are graded in advance. There are 6 assignments; each
assignment is worth 10 points. The total points will be rescaled for the course
grading.
Ungraded
Work
You will not be successful in this course if you only
complete the graded assignments. You must, in addition, regularly test your
understanding by attempting exercises in the textbook. If you have not mastered
the material, then you should not expect to achieve a high exam score.
Moreover, if you are unable to solve at least half of the recommended textbook
exercises without making multiple or serious errors, then you should not expect
to receive a passing grade on exams.
Midterm
and Final:
There will be one Midterm Exam in the class of July
28. The Final Exam is scheduled in the last class, viz. the class in August 18.
All students are required to take the Final Exam. The university has strict requirements for exceptions. No notes, no books, no calculators, no phones, no personal
computers will be allowed in the exams. There are NO makeup exams.
Course Grading:
Total score will be
calculated by the weighted average: Homework 30%, Midterm 30%, and Final Exam
40%.
Final grades will be
determined by the following scale (rescale will be made if necessary)
|
4.0 |
3.5 |
3.0 |
2.5 |
2.0 |
1.5 |
1.0 |
0.0 |
|
[100,92] |
(92,82] |
(82,75] |
(75,68] |
(68,62] |
(62,56] |
(56,50] |
(50,0] |
In addition, you must take the final examination in
order to pass the course.
Academic Integrity:
Academic dishonesty is
considered a serious offense at MSU. Students caught cheating will face failure
in the course and an administrative sanction which may include suspension or
expulsion from the university. See the MSU Academic Integrity Policies.
Important Dates:
Wednesday – 7/05/2017 – Classes
Begin.
Friday – 8/18/2017 – Last day of
classes.