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Math 340: Applied Numerical Methods
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: Introduction to numerical methods with emphasis on mathematical models. Implements and investigates numerical techniques for the solution of linear and nonlinear systems of equations, eigenvalue problems, interpolation and approximation, techniques of optimization, Monte Carlo methods, and applications to ordinary differential equations and integration.

Number of Credits: 3

Prerequisites:  MATH 211 with a grade of C or better or MATH 213 with a grade of C or better, and CS 100 with a grade of C or better orCS 101 with a grade of C or better oror CS 113 with a grade of C or better or CS 115 with a grade of C or better or MATH 240 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 340-001 Professor B. Bukiet
Math 340-003 Professor B. Bukiet

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

Required Textbook:

Title Numerical Analysis
Author Sauer
Edition 1st or 2nd
Publisher Pearson
ISBN # 978-0321783677
See course moodle page for course learning objects

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

Course Goals

Learning Outcomes

Students succeeding in this course will be able to:

Course Assessment: The assessment of outcomes will be achieved through homework, MATLAB, quizzes, and examinations.


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, Quizzes, Lab, and Class Participation 25 points
Midterm Exams (4) 30 - 60 points
Final Exam 15 - 45 points
Project (for Honors) 25 points (total out of 125)

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 59 and below
C+ 76 - 79

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 require use of MATLAB software. Tutors are available in accordance with a posted schedule.

Exams: There will be four midterm exams held in class during the semester and one final exam. Exams are held on the following times:

Midterm Exam I Lecture 10, October 5
Midterm Exam II Lecture 15, October 24
Midterm Exam III Lecture 20, November 9
Midterm Exam IV Lecture 27, December 7
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: 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 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

Date Lecture Sections Topic
9/5 1 Matlab Introduction and Introduction to the Course 
9/7 2 0.1 and 0.4 Numerical Methods Foundations
9/12 3 0.5 Calculus Review: IVT, MVT, Taylor Series etc.
9/14 4 0.5 Calculus Review: IVT, MVT, Taylor Series etc.
9/19 5 1.1 Rootfinding for nonlinear equations - Bisection
9/21* 6 1.2 Rootfinding for nonlinear equations – Fixed Point Iteration
9/26 7 1.3 Rootfinding for nonlinear equations – Error considerations
9/28 8 1.4-1.5 Rootfinding for nonlinear equations – Newton’s Method and Secant Method
10/3 9 3.1 Review for Exam 1 and Polynomial Interpolation
10/5* 10 3.1 Exam 1 and Polynomial Interpolation
10/10 11 3.2 Polynomial Interpolation and Error
10/12* 12 3.3 Chebyshev Polynomials 
10/17 13 3.4 Cubic Splines
10/19 14 5.1 Review for Exam 2 and Numerical Differentiation
10/24 15 5.1 Exam 2 and Numerical Differentiation
10/26 16 5.2 Numerical Integration
10/31 17 5.3 Romberg Integration and Richardson Extrapolation
11/2 18 5.5 Gaussian Quadrature
11/7 19 6.1 Review for Exam 3 and Ordinary Differential Equations – Basics, Direction Fields
11/9 20 6.1-6.2 Exam 3 and Ordinary Differential Equations – Euler’s Method and its Error Analysis 
11/14 21 6.2 Ordinary Differential Equations – Taylor Series Methods
11/16 22 6.3 Ordinary Differential Equations – Systems of ODEs
11/21 23 6.4 Ordinary Differential Equations – Runge Kutta Methods
11/28 24 6.7 Ordinary Differential Equations – Stiff Equations, Stability and Implicit Methods
11/30 25 6.7 Ordinary Differential Equations – Multi-Step Methods and Stability
12/5 26 7.1 Review for Exam 4 and ODE-Boundary Value Problems – Shooting Method
12/7 27 7.1 Exam 4 and ODE Applications 
12/12 28 81.-8.3 Review for Final Exam and Boundary Value Problems and  PDEs
12/15-12/21 FINAL EXAM WEEK

Updated by Professor B. Bukiet - 9/1/2017
Department of Mathematical Sciences Course Syllabus, Fall 2017