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.
Math 480-101: Introductory Mathematical Analysis
FALL 2010
Textbook: An Introduction to Analysis (4th Ed.), By W. Wade. Prentice Hall © 2010.
Prerequisites: Math 211 or Math 213 with a grade of C or better.
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework: |
15% |
▪ Midterm Exam I: |
25% |
▪ Midterm Exam II: |
25% |
▪ Final Exam: |
35% |
Your final letter grade will be based on
the following tentative curve. This curve may be adjusted slightly
at the end of the semester.
NOTE: This course needs to be passed with a grade of C or better in order
to proceed to
Math 481
or
Math 546.
A |
90-100 |
C |
60-69 |
B+ |
85-89 |
D |
50-59 |
B |
75-84 |
F |
0-49 |
C+ |
70-74 |
|
|
Drop Date: Please note that the University Drop Date November 1, 2010 deadline will be strictly enforced.
Homework Policy: It is vital that you complete all of the homework assignments by the specified dates.
MATLAB: MATLAB is a mathematical software program that is used throughout the science and engineering curricula.
Attendance: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.
Exams: There will be two midterm exams and one comprehensive final exam during the semester. Exams are held in class on the following days:
Midterm Exam 1: |
September 28, 2010 |
Midterm Exam 2: |
October 26, 2010 |
Final Exam Week: |
December 10-16, 2010 |
Makeup Exam Policy: There will be No make-up EXAMS during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.
Further Assistance: For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
MATH DEPARTMENT CLASS POLICIES LINK
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. For DMS Course Policies, please click here.
M |
Labor Day Holiday ~ University Closed |
|
M |
Last Day to Withdraw from this course |
|
R-Su |
Thanksgiving Recess ~ University Closed |
|
T |
Classes follow a Thursday Schedule |
|
December 8, 2010 |
W |
Classes follow a Friday Schedule |
Course Outline:
Week |
Section & Topic |
Page |
Homework |
|
|
||||
Week
1 |
1.1 - 1.2 |
Review of Calculus and Preliminaries |
||
└► |
Labor day holiday ~ University Closed |
|||
Week
2 |
1.3 - 1.4 |
Real Numbers and Completeness |
||
Week
3 |
1.4 - 1.6 2.1 - 2.2 |
Induction, Inverses, Cardinality and Sequences |
||
Week
4 |
2.3 - 2.5 |
Limits, Limits Sup and Inf |
||
└► |
REVIEW FOR EXAM #1 |
└► |
STUDY FOR EXAM #1 |
|
Week
5 |
└► |
MIDTERM EXAM I: Tuesday ~ September 28, 2010 |
||
3.1 - 3.2 |
Functions and Their Limits |
|||
Week
6 |
3.3 - 3.4 |
Continuity and Uniform Continuity |
||
Week
7 |
4.1 - 4.3 |
Differentiability and the Mean Value Theorem |
||
Week
8 |
4.4 |
Taylor’s Theorem and l’Hopital’s Rule |
||
└► |
REVIEW FOR EXAM #2 |
└► |
STUDY FOR EXAM #2 |
|
Week 9 |
└► |
MIDTERM EXAM II: Tuesday ~ October 26, 2010 |
||
4.5 |
Inverse Function Theorems |
|||
└► |
Last Day to Withdraw from this course |
|||
Week 10 |
5.1 - 5.2 |
Riemann Integral |
||
Week
11 |
5.3 - 5.4 |
Riemann Integral and Fundamental Theorem, Improper Integral (Cauchy-Riemann Integral) |
||
Week 12 |
6.1 - 6.3 |
Infinite Series |
||
Week 13 |
6.4 - 6.6 |
Infinite Series of Functions and Uniform Convergence |
||
└► |
[Thurs-Sun: Nov. 25-28] Thanksgiving Recess ~ University Closed |
|||
Week 14 |
7.3 - 7.5 |
Power Series, Analytic Functions and Applications |
||
└► |
REVIEW FOR FINAL EXAM |
└► |
STUDY FOR FINAL EXAM |
|
Week 15 |
└► |
[TUE & Wed: DEC. 7-8] Classes follow a THURSDAY and FRIDAY Schedule |
||
|
||||
Finals |
Final EXAM WEEK: December 10-16, 2010 |
Prepared By: Prof. Denis Blackmore
Last revised: May 27, 2010