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Math 227: Mathematical Modeling
Fall 2017 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: An introduction to the theory and practice of mathematical modeling. Techniques include scaling and dimension, fitting of data, linear and exponential models, elementary dynamical systems, probability, optimization, Markov chain modeling. Models are drawn from applications including biology, physics, economics, finance, and chemistry.

Number of Credits: 4

Prerequisites: MATH 112 with a grade of C or better or MATH 133 with a grade of C or better and CS 115with a grade of C or better or CS 113 with a grade of C or better or CS 100 with a grade of C or better or CS 101 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 227-001 Professor C. Diekman
Math 227-003 Professor C. Diekman

Office Hours for All Math Instructors: Fall 2017 Office Hours and Emails

Required Textbook:

Title No Book
Author ---
Edition ---
Publisher ---
ISBN # ---

University-wide Withdrawal Date: The last day to withdraw with a W is Monday, November 6, 2017. It will be strictly enforced.

Course Goals

Course Objectives

Course Outcomes

Course Assessment: The assessment of objectives is achieved through homework, labs, exams, and a project.

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, Labs, and In-Class Participation 30%
Midterm Exam I 20%
Midterm Exam II 20%
Final Exam (Project) 30%

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

A 90 - 100 C 60 - 69
B+ 85 - 89 D 50 - 59
B 75 - 84 F 0 - 49
C+ 70 - 74

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.

MATLAB: MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Students should download it to their computers from the IST software downloads page. For this class, you are required to write code using this software.

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

Midterm Exam I October 17, 2017
Midterm Exam II November 17, 2017
Final Exam Week 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: 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 2017 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 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

Course Outline

Week Topic
Weeks 1 and 2  Process of Mathematical Modeling
Weeks 3 and 4 Discrete Dynamical Systems
Weeks 5 and 6  Continuous Dynamical Systems (Midterm Exam 1 – October 17)
Weeks 7 and 8  Probability Theory
Weeks 9 - 11 Markov Chains (Midterm Exam 2 – November 17)
Weeks 12 - 15 Regression Modeling, Linear Programming, Agent-Based Modeling

Updated by Professor C. Diekman - 9/5/2017
Department of Mathematical Sciences Course Syllabus, Fall 2017