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Math 309: Mathematical Analysis for Technology
Spring 2019 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: Emphasis on partial derivatives; vector calculus, and multiple integrals.

Number of Credits: 4

Prerequisites: MATH 112 with a grade of C or better, or MATH 133 with a grade of C or better or MATH 238 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 309-002 Professor R. Bouayad
Math 309-102 Professor M. Michal

Office Hours for All Math Instructors: Spring 2019 Office Hours and Emails

Required Textbook:

Title Calculus: Concepts and Contexts
Author Stewart
Edition 4th
Publisher Cengage
ISBN # 978-0495557425

University-wide Withdrawal Date: The last day to withdraw with a W is Monday, April 8, 2019. 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:

Homework 10%
Quizzes 10%
Midterm Exam I 15%
Midterm Exam II 17%
Midterm Exam III 18%
Final Exam 30%

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

A 90 - 100 C 65 - 74
B+ 85 - 89 D 55 - 64
B 80 - 84 F 0 - 54
C+ 75 - 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.

Students are expected to attend class. Each class is a learning experience that cannot be replicated through simply “getting the notes.”

Homework Policy: Homework is an expectation of the course. All homework assignments are online using WebAssign. The online assignments can be completed at You need to have a student access code. Access codes are included with new book that is bundled with WebAssign; codes can be purchased separately from the bookstore or online. WebAssign gives you free access for two weeks after the start of class. In addition, on the first day of class your course instructor will give an additional code “Class key” needed to enroll to WebAssign.

Quiz Policy: Quizzes will be given approximately once a week throughout the semester. They will be based on the lecture, homework and the in-class discussions. Quizzes will sometimes be assigned through webassign and students will be expected to complete the quiz online. There are no make-up quizzes; average will be calculated after dropping the lowest two scores.

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

Midterm Exam I Week 4
Midterm Exam II Week 8
Midterm Exam III Week 11
Final Exam Period May 10 - 16, 2019

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: Spring 2019 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: Spring 2019 Academic Calendar, Registrar)

Date Day Event
January 22, 2019 T First Day of Classes
February 1, 2019 F Last Day to Add/Drop Classes
March 17 - 24, 2019 Su - Su Spring Recess - No Classes, NJIT Open
April 8, 2019 M Last Day to Withdraw
April 19, 2019 F Good Friday - No Classes, NJIT Closed
May 7, 2019 T Friday Classes Meet/ Last Day of Classes
May 8 & 9, 2019 W & R Reading Days
May 10 - 16, 2019 F - R Final Exam Period

Course Outline

Week Section and Topic Lecture and Homework Assignments
1 9.1:
Three Dimensional Coordinate Systems
1 11,12,13,17,19,20,22,23,26,28,33
9.3: The Dot Product 2 2,3,4,5,9,15,16,17,19,20,21,22,29,32
2 9.4: The Cross Product 3 7,8,9,10,11,19,21,27,28,29
Vector Functions and Space Curves 4 1,3,5,7, 13,15, 19
3,4,6,7, 11,17,19, 53
3 3.4:
Derivatives of Vector Functions 5 79,81,83
Integrals of Vector Functions 5 35
4 6.4:
Arc Length and Curvature 7 7,13,16
Review for Examination 1 Study for Examination 1
Examination 1
5 9.5:
Functions of Several Variables 8 23,27,29,33,39,43,55,56
Polar and Cylindrical Coordinates 9 3,5,7,9,11,12,15,17,19,21(a),25
6 11.3:
Partial Derivatives and Tangent Planes 10 15,16,17,18,19,25,26,29,30,31,39,46,56
11.5: Chain Rule 11 1,2,3,5,7,9,10,11,21,22,26,28
7 11.6: Directional Derivatives and the Gradient Vector 12 5,6,7,9,11,12,15,21
11.7: Maximum and Minimum Values 13 5,7,9,10,11,27,29
Review for Examination 2 Study for Examination 2
8 Examination 2
Double Integration over Rectangles 14 11,12,13
9 12.3: Double Integrals over General Regions 15 1,3,4,5,7,9,10,17,20,41,47,48
12.4: Double Integrals in Polar Coordinates 16 7,9,11,15,27
10 12.7: Triple Integrals 20 3,4,5,9,11,19
Review for Examination 3 Study for Examination 2
11 Examination 3
13.1: Vector Fields 21 1,3,21,24
12 13.2: Line Integrals 22 1,3,5,7,19,20
13 13.3: The Fundamental Theorem for Line Integrals 23 3,5,12,13,14
13.4: Green's Theorem 23 1,3,5,7,9
14 Review for Final Examination

Updated by Professor M. Matthew - 1/21/2019
Department of Mathematical Sciences Course Syllabus, Spring 2019