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Math 480: Introductory Mathematical Analysis
Fall 2018 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: Builds on principles taught in basic calculus courses. Topics discussed include continuity, differentiation, integration, and the limit process of sequences and series.

Number of Credits: 3

Prerequisites: MATH 211 with a grade of C or better or MATH 213 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 480-001 Professor B. Hamfeldt

Office Hours for All Math Instructors: Fall 2018 Office Hours and Emails

Required Textbook:

Title Introduction to Real Analysis
Author W. Trench
Edition Digital Version
Publisher Digital Commons@Trinity
ISBN # ---
For Digital Version Search trench introduction to real analysis for a pdf file)

Course Assessment Criteria: Outcomes are assessed through class participation, homework assignments, two midterm exams, and a comprehensive final exam.

University-wide Withdrawal Date: The last day to withdraw with a W is Monday, November 12, 2018. It will be strictly enforced.


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:

Participation 5%
Homework 20%
Midterm Exams (2) 40%
Final Exam 35%

Your final letter grade will be based on the following tentative curve.

A 90 - 100 C 70 - 75
B+ 86 - 89 D 60 - 69
B 80 - 85 F 0 - 59
C+ 76 - 75

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 assignments will be given frequently. Assignments will be posted on Moodle.  Each assignment must be handed in at the beginning of class on the due date. Late assignments are NOT accepted.  Solutions will be graded for correctness, completeness, and clarity.

Exams: There will be two midterm exams held in class during the semester and one comprehensive final exam. The final exam will be held on the following week:

Midterm Exam I October 9, 2018
Midterm Exam II November 13, 2018
Final Exam Period December 15 - 21, 2018

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: There will be No make-up QUIZZES OR EXAMS during the semester. In the event an exam is not taken under rare circumstances where the student has a legitimate reason for missing the exam, the student should contact the Dean of Students office and present written verifiable proof of the reason for missing the exam, e.g., a doctor’s note, police report, court notice, etc. clearly stating the date AND time of the mitigating problem. The student must also notify the Math Department Office/Instructor that the exam will be missed.

Cellular Phones: All cellular phones and other electronic devices must be switched off during all class times.

Additional Resources

Math Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Fall 2018 Hours)

Further Assistance: For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed on the Math Department's webpage for Instructor Office Hours and Emails.

All students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. The Department of Mathematical Sciences takes these policies very seriously and enforces them strictly.

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 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 2018 Academic Calendar, Registrar)

Date Day Event
September 4, 2018 T First Day of Classes
September 10, 2018 M Last Day to Add/Drop Classes
November 12, 2018 M Last Day to Withdraw
November 20, 2018 T Thursday Classes Meet
November 21, 2018 W Friday Classes Meet
November 22 - 25, 2018 R - Su Thanksgiving Recess
December 12, 2018 W Last Day of Classes
December 13 & 14, 2018 R & F Reading Days
December 15 - 21, 2018 Sa - F Final Exam Period

Course Outline

Week Date Topic
1 9/4 & 9/6 1.1-1.2: Real numbers & mathematical induction
2 9/11 & 9/13 1.3-2.1: Real numbers and limits
3 9/18 & 9/20 2.1-2.2: Limits and continuity
4 9/25 & 9/27 2.3: Mean Value Theorem
5 10/2 & 10/4 2.4: L’Hospital’s Rule and review
6 10/9 & 10/13 Midterm (October 10) and 2.5: Taylor’s Theorem
7 10/16 & 10/20 3.1: Integrals
8 10/23 & 10/25 3.2-3.3: Properties of the integral
9 10/30 & 11/1 3.4-4.1: Improper integrals and sequences
10 11/6 & 11/8 4.1: Sequences and review
11 11/13 & 11/15 Midterm (November 14) and 4.2: Sequences
12 11/20 (no class 11/22) 4.3: Infinite series
13 11/27 & 11/29 4.3-4.4: Sequences and series of functions
14 12/4 & 12/6 4.4-4.5: Power series
15 11-Dec Review

Updated by Professor B. Hamfeldt - 9/1/2018
Department of Mathematical Sciences Course Syllabus, Fall 2018