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Math 238: General Calculus II
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 applications of integral calculus and an introduction to ordinary differential equations. Effective From: Spring 2013.

Number of Credits: 3

Prerequisites: Math 138 with a grade of C or better or math 139 with a grade of C or better or Math 111 with a grade of C or better. A continuation of Math 138.

Course-Section and Instructors

Course-Section Instructor
Math 238-141 Professor M. Hercules

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

Required Textbook:

Title Calculus: Concepts & Contexts
Author Stewart
Edition 4th
Publisher Cengage Learning
ISBN # 978-0495557425
CafeScribe ISBN 978-1111432584
Technology Calculators are not permitted in this course.

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:

Midterm Exam 35%
Homework and Quizzes 20%
Final Exam 45%

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

A 90 - 100 C 70 - 74
B+ 85 - 89 D 60 - 69
B 80 - 84 F 0 - 59
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.

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

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./

Midterm Exam TBA
Final Exam July 16, 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

Week # Section Topic Lecture
WEEK 1  3.1 - 3.4 Review on derivatives 1
 3.5 - 3.7 Review on derivatives 2
4.8 Antiderivatives 3
WEEK 2 5.1 Area 4
5.2 The Definite Integrals 5
5.4 Evaluation 6
WEEK 3 5.5 Substitution 7
  5.6 Integration by Parts 8
  5.7 Addition Techniques of Integration 9
WEEK 4 5.9 Applications 10
5.10 Improper Integrals 11
6.1 More About Areas 12
  6.2 - 6.3 Volumes 15
WEEK 6 6.4 Lengths 16
6.5 Average Values and Applications 17
  7.1, 7.3 Modeling with Differential Equations, Separable Equations 18
WEEK 7 7.4 Exponentials 19
8.1 Sequences 20
8.2 - 8.4 Series, Itegral and Comparison Tests 21
WEEK 8 8.5 Power Series 22
  8.6 - 8.7 Taylor and Maclaurin Series 23
  FINAL EXAM (JULY 16, 2018  

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