## Happy New Year!

## 18.100B Analysis I

Welcome to 18.100B! The purpose of this course is to
familiarize you with the basic language and methods of
mathematics. The course emphasizes proof writing and is meant as a
first introduction to rigorous mathematics. It will cover point set
topology, metric spaces, continuity, differentiability, sequences and
series and intergration.

** Lecturer: ** Izzet Coskun, coskun@math.mit.edu

** Office hours: ** M 9-11 in 2-167

** Text book: ** W. Rudin, The Principles of
Mathematical Analysis, McGraw-Hill 3rd edition.

** Homework: ** There will be weekly homework. The homework
is due on Wednesdays at the beginning of class. Late homework will not
be accepted. You are allowed to discuss problems; however, the
write-up must be your own and should reflect your own understanding of
the problem.

** Grading: ** There will be two midterm evaluations on
October 12 and November 16 and a final examination during final exam
week. The time and place of the final exam will be announced later by
the Registrar. Each of the midterms and the homework will count for
20% of your grade. The final will account for 40% of your
grade.

### The Final Exam will be on Tuesday,
December 20 at 9:00 am in Walker

Check the Registrar's
listing for updates.

### The Final Exam will consist of 24
problems. Each problem will have one assertion. You have to state
whether the assertion is TRUE or FALSE. If the assertion is true, you
have to give a concise proof. If the assertion is false, you have to
give a counterexample. To receive full credit you have to answer 20 of
the problems correctly. You may do more for extra credit.

### Practice for the first midterm (pdf)

### First midterm (pdf)

### Second midterm (pdf)

** Course materials: **

The syllabus (pdf).
The first problem set due Wednesday, Sep. 14 (pdf).
The second problem set due Wednesday, Sep. 21 (pdf).
The third problem set due Wednesday, Sep. 28 (pdf).
The fourth problem set due Wednesday, Oct. 5 (pdf).
No problem sets due Oct. 12
The fifth problem set due Wednesday, Oct. 19 (pdf).
The sixth problem set due Wednesday, Oct. 26 (pdf).
The seventh problem set due Wednesday, Nov. 2 (pdf).
The eighth problem set due Wednesday, Nov. 9 (pdf).
No problem sets due Nov. 16. You may turn in practice midterm for
extra credit (pdf).
Happy Thanksgiving! Wednesday, Nov 23
The ninth problem set due Wednesday, Nov. 30 (pdf).
The tenth problem set due Wednesday, Dec. 7 (pdf).
Practice problems for the final (pdf).