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Math 213: Calculus III B
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: Topics include vectors, curvature, partial derivatives, multiple integrals, line integrals, and Green's, divergence, and Stokes' theorems. Effective From: Fall 2012.

Number of Credits: 4

Prerequisites: Math 112 with a grade of C or better or Math 133 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 213-031 Professor R. Bouayad

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

Required Textbook:

Title Thomas' Calculus: Early Transcendentals
Author Thomas
Edition 13th
Publisher Pearson
ISBN # 978-0321981677
Notes w/ MyMathLab

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

Course Goals

Course Objectives

Course Outcomes


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 88 - 100 C 65 - 71
B+ 83 - 87 D 60 - 64
B 77 - 82 F 0 - 59
C+ 72 - 76

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 and Quiz Policy: The homework assignments are online. In order to do the assignments you need to have a student access code. You can get an access code with a new book purchase that is bundled with MyMathLab or by buying the code separately at the campus bookstore. If you buy a new book from another source make sure it is bundled with MyMathLab. In addition on the first day of class your course instructor will give you an additional code needed to access the homework assignments. A quiz based on the homework problems will be given each week online or in class. There will be a short quiz every week on the material covered during the previous week. All of the quizzes will be graded. The homework and quizzes are intended to develop your problem-solving skills and to prepare you for the exams. The quiz and homework grades will be a significant component of your course grade.

How to Get Started with MyMathLab:

MATLAB: MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Several MATLAB assignments will be given out. These assignments have been designed to help you learn how to use this software in order to visualize many of the concepts taught in class. Each MATLAB assignment will be graded and will be counted as a weekly quiz grade.

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

Common Midterm Exam I June 20, 2018
Common Midterm Exam II July 18, 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

Homework will be assigned Online and are DUE at the dates and times specified online. Students are required to work through the problems assigned in homework after each lecture in order to gain a better understanding of the course material.

Lecture Sections Topic
1 12.1-12.2 Three-Dimensional Coordinate Systems, Vectors
12.3-12.4 The Dot Product, the Cross Product
12.5-12.6 Lines and Planes in Space, Cylinders and Quadric Surfaces
2 13.1 Curves in Space and Their Tangents
13.2 Integrals of Vector Functions; Projectile Motion
3 13.3 Arc Length in Space
13.4-13.5 Curvature and Normal Vectors, Tangential and Normal Components of Acceleration
14.1-14.2 Functions of Several Variables, Limits and Continuity in higher Dimensions
4 14.3 Partial Derivatives
14.4-14.5 The Chain Rule, Directional Derivatives and Gradient Vectors
14.6 Tangent Planes and Differentials
5 Common Exam 1: Wednesday, June 20, 2018
14.7 Extreme Values and Saddle Points
14.8 Lagrange Multipliers
6 14.9 Taylor's Formula in Two Variables
15.1 Double and Iterated Integrals over Rectangles
15.2 Double Integrals over General Regions
7 15.3-15.4 Area by Double Integration, Double Integrals in Polar Form
15.5 Triple Integrals in Rectangular Coordinates
8 15.7 Triple Integrals in Cylindrical and Spherical Coordinates
15.8 Substitutions in Multiple Integrals
16.1 Line Integrals
9 Common Exam 2: Wednesday, July 18, 2018
16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux
16.3 Path Independence, Conservative Fields, and Potential Functions
10 16.4 Greens Theorem in the Plane
16.5-16.6 Surfaces and Area, Surface Integrals
16.7 Stokes Theorem
11 16.8 The Divergence Theorem
12 FINAL EXAM,  AUGUST 6, 2018

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