Math 645: Analysis I
Fall 2017 Graduate Course Syllabus
NJIT Academic Integrity Code: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.
Course Information
Course Description: Review and extension of the fundamental concepts of advanced calculus: the real number system, limit, continuity, differentiation, the Riemann integral, sequences and series. Point set topology in metric spaces. Uniform convergence and its applications.
Number of Credits: 3
Prerequisites: MATH 546 or departmental approval.
Course-Section and Instructors
| Course-Section |
Instructor |
| Math 645-001 |
Professor C. Muratov |
Office Hours for All Math Instructors: Fall 2017 Office Hours and Emails
Required Textbooks:
| Title |
Analysis |
| Author |
Lieb and Loss |
| Edition |
2nd |
| Publisher |
Academic Mathematical Society |
| ISBN # |
978-0821827833 |
This is the first part of the two-semester course that introduces an application-minded student to foundations and modern techniques of real analysis. Topics covered in this course include measure and integration theory, L^p spaces, integral inequalities, topological and metric spaces, Banach and Hilbert spaces, contraction mapping, duality, weak convergence, compactness.
University-wide Withdrawal Date:The last day to withdraw with a w is Monday, November 6, 2017. It will be strictly enforced.
Policies
DMS Course Policies: All DMS students must familiarize themselves with, and adhere to, the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly.
Grading Policy: The final grade in this course will be determined as follows:
| Homework |
30% |
| Midterm Exam |
30% |
| Final Exam |
40% |
Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced.
Homework Policy: Homework will be assigned during class times and collected every
couple of weeks.
Exams: There will be one midterm exam held in class during the semester and one comprehensive final exam. Exams are held on the following days:
| Midterm Exam |
October 24, 2017 |
| Final Exam Period |
December 15 - 21, 2017 |
The final exam will test your knowledge of all the course material taught in the entire course. Make sure you read and fully understand the Math Department's Examination Policy. This policy will be strictly enforced.
Makeup Exam Policy: To properly report your absence from a midterm or final exam, please review and follow the required steps under the DMS Examination Policy found here:
Cellular Phones: All cellular phones and other electronic devices must be switched off during all class times.
Additional Resources
Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporary accommodations for undergraduate, graduate and visiting students at NJIT.
If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director of Disability Support Services at 973-596-5417 or via email at lyles@njit.edu. The office is located in Fenster Hall, Room 260. A Letter of Accommodation Eligibility from the Disability Support Services office authorizing your accommodations will be required.
For further information regarding self identification, the submission of medical documentation and additional support services provided please visit the Disability Support Services (DSS) website at:
Important Dates (See: Fall 2017 Academic Calendar, Registrar)
| Date |
Day |
Event |
| September 5, 2017 |
T |
First Day of Classes |
| September 11, 2017 |
M |
Last Day to Add/Drop Classes |
| November 6, 2017 |
M |
Last Day to Withdraw |
| November 21, 2017 |
T |
Thursday Classes Meet |
| November 22, 2017 |
W |
Friday Classes Meet |
| November 23 - 26, 2017 |
R - Su |
Thanksgiving Break - University Closed |
| December 13, 2017 |
W |
Last Day of Classes |
| December 14, 2017 |
R |
Reading Day |
| December 15 - 21, 2017 |
F - R |
Final Exam Period |
