MATH 480 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.

 

Math 480-101:  Introductory Mathematical Analysis

FALL 2010

 

Instructor:  Prof. Blackmore

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.

September 6, 2010

M

Labor Day Holiday ~ University Closed

November 1, 2010

M

Last Day to Withdraw from this course

November 25-28, 2010

R-Su

Thanksgiving Recess ~ University Closed

December 7, 2010

T

Classes follow a Thursday Schedule

December 8, 2010

W

Classes follow a Friday Schedule

 

Course Outline:

 

Week
Dates

Section & Topic

Page

Homework

 

Week 1
8/31

1.1 - 1.2

Review of Calculus and Preliminaries

   

9/6

└►

Labor day holiday ~ University Closed

 

Week 2
9/7

1.3 - 1.4

Real Numbers and Completeness

   

Week 3
9/14

1.4 - 1.6

2.1 - 2.2

Induction, Inverses,

Cardinality and Sequences

   

Week 4
9/21

2.3 - 2.5

Limits, Limits Sup and Inf

   

└►

REVIEW FOR EXAM #1

└►

STUDY FOR EXAM #1

Week 5
9/28

└►

MIDTERM EXAM I:  Tuesday ~ September 28, 2010

3.1 - 3.2

Functions and Their Limits

   

Week 6
10/5

3.3 - 3.4

Continuity and Uniform Continuity

   

Week 7
10/12

4.1 - 4.3

Differentiability and the Mean Value Theorem

   

Week 8
10/19

4.4

Taylor’s Theorem and l’Hopital’s Rule

   

└►

REVIEW FOR EXAM #2

└►

STUDY FOR EXAM #2

Week 9
10/26

└►

MIDTERM EXAM II:  Tuesday ~ October 26, 2010

4.5

Inverse Function Theorems

   

11/1

└►

Last Day to Withdraw from this course

Week 10
 11/2

5.1 - 5.2

Riemann Integral

   

Week 11
11/9

5.3 - 5.4

Riemann Integral and Fundamental Theorem,

Improper Integral (Cauchy-Riemann Integral)

   

Week 12
11/16

6.1 - 6.3

Infinite Series

   

Week 13
11/23

6.4 - 6.6
7.1 - 7.2

Infinite Series of Functions and

Uniform Convergence

   

11/25 – 11/28

└►

[Thurs-Sun: Nov. 25-28] Thanksgiving Recess ~ University Closed

Week 14
11/30

7.3 - 7.5

Power Series, Analytic Functions and Applications

   

└►

REVIEW FOR FINAL EXAM

└►

STUDY FOR FINAL EXAM

Week 15
12/7

└►

[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

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