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Math 309: Mathematical Analysis for Technology
Summer 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: 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 309-131 Professor I. Cohanoschi

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

Required Textbook:

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

Withdrawal Date: Please see the Summer 2018 Academic Calendar for the last day to withdraw based on the summer session you are registered for.


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 25%
Midterm Exam II 25%
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 two midterm exams held during the semester and one comprehensive common final exam. Exams are held on the following days:

Midterm Exam I June 18, 2018
Midterm Exam II July 16, 2018
Final Exam August 6, 2018

Makeup Exam Policy: To properly report your absence from a midterm or final exam, please review and follow the required steps under the DMS Examination Policy found here:

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, Room G11 (Summer Hours: TBA)

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.  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: Summer 2018 Academic Calendar, Registrar)

Date Event
May 21, 2018 First Day of Classes
May 22, 2018 Last Day to Add/Drop Classes
May 28, 2018 University Closed for Memorial Day
June 25, 2018 Last Day of First Summer Session
July 4, 2018 University Closed for Independence Day
July 16, 2018 Last Day of Middle Summer Session
August 6, 2018 Last Day of Full and Second Summer Sessions

Course Outline

Lecture Section Topics Homework Assignments
1 9.1 Three Dimensional Coordinates 7,8,10,11,12
2 9.2 Vectors 7,11,13,15,16,17,19,24
3 9.3,4 The Dot and Cross Product 9.3.1,3,4,10,15,16,29, 9.4.7,8,19,20
4 9.5 Equations of Lines 2,3,19
5 1.7 Parametric Curves 5,22,31
6 10.1 Vector Functions 1,2,4,5,15
7 10.2 Derivatives/Integral of Vectors 9,11,12,15,33,34,35
8 6.1 Parametric Integrals 34,34SA
9 3.4 Tangents to Parametric Curves 33,79
10 6.4 Arc Length 1,7,16
11 10.3 Arc Length and Curvature 1,3,17,23,25
12 9.5 Equations of Planes 14,23
13 11.1 Functions of Several Variables 5,12,15,16,18,19
14 9.7 Cylindrical Coordinates 3,25
15 11.3 Partial Derivatives 15,16,17,18,21,39,51,54
16 11.4 Tangent Planes 2,3,5
17 11.5 The Chain Rule 2,3,5,7,9,21,22
18 11.7 Max and Min Values 7,9,11,39,42
19 12.1 Double Integrals 1,11,12
20 12.2 Iterated Integrals 3,4,5,15
21 12.3 Double Integrals over General Regions 1,5,6,7,8,17,47,50
22 12.4 Double Integrals and Polar 15
23 12.7 Triple Integrals 3,6,11,13
24 12.8 Triple Integrals in Cylindrical 7,9,10,35
25 13.1 Vector Fields 11,21,33
26 13.2 Line Integrals L15.2.8,14,30,60
27 13.3 Fundamental Theorem of Line Integral 3,12,13,14,17
28 13.4 Green’s Theorem 1,4,5,6

Updated by Professor I. Cohanoschi - 5/21/2018
Department of Mathematical Sciences Course Syllabus, Summer 2018