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Math 238-002: General Calculus II
Spring 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: A continuation of MATH 138. Topics include applications of integral calculus and an introduction to ordinary differential equations.

Number of Credits: 3

Prerequisites: MATH 138 with a grade of C or better or MATH 139 with a grade of C or better orMATH 111 with a grade of C or better or placement.

Course-Section and Instructors

Course-Section Instructor
Math 238-002 Professor K. Horwitz

Office Hours for All Math Instructors: Spring 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

University-wide Withdrawal Date: The last day to withdraw with a W is Monday, April 2, 2018. It will be strictly enforced.

Course Goals

Course Objectives

Course Assessment: The assessment of objectives is achieved through homeworks, quizzes, and exams.


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 15%
Midterm Exam I 20%
Midterm Exam II 25%
Final Exam 30%

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. Students are expected to attend class. Each class is a learning experience that cannot be replicated through simply “getting the notes.” Attendance at all classes (both lecture and recitation) will be recorded and is mandatory.

Homework Policy: Homework is an expectation of the course. All homework for the semester is listed above by section. In addition to the assigned homework, students will be required to complete foundation questions for each section PRIOR to beginning the section. These questions will allow students to review relevant material covered in the section. This will be graded as homework in addition to the assigned homework in the syllabus.

Quizzes: Quizzes will be given throughout the semester. They will be based on the lecture, homework and the in-class discussions. Quizzes will sometimes be assigned through webassign and will be completed outside class. There will be 6-10 assessments given throughout the semester.

Exams: There will be two midterm exams held in class during the semester and one comprehensive final exam. The final exam will be held during the following week:

Midterm Exam I Lecture 10
Midterm Exam II Lecture 20
Final Exam Week May 4 - 10, 2018

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 2018 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 2018 Academic Calendar, Registrar)

Date Day Event
January 16, 2018 T First Day of Classes
January 22, 2018 M Last Day to Add/Drop Classes
March 11 - 18, 2018 Su - Su Spring Recess - No Classes/ University Closed
March 30, 2018 F Good Friday - No Classes/ University Closed
April 2, 2018 M Last Day to Withdraw
May 1, 2018 T Friday Classes Meet - Last Day of Classes
May 2 - 3, 2018 W - R Reading Days
May 4 - 10, 2018 F - R Final Exam Period

Course Outline

Lecture Sections Topic Assignment
1 Introduction/ Finish what is not completed in class
Precalculus/Calculus 1 Review
2 5.4 The Fundamental Theorem of Calculus 5.4 Ex.: 8, 8, 9, 13, 25
3 5.5 The Substitution Rule 5.5 Ex.: 8, 10, 29, 40, 42
4 5.6 Integration by Parts 5.6 Ex: 4, 6, 12, 16
5 5.7 Additional Techniques of Integration 5.7 Ex.: 2, 6, 8, 20
6 5.7 Additional Techniques of Integration 5.7 Ex.: 22, 23, 25, 26
7 5.9 Approximate Integration 5.9 Ex.: 5, 8, 10,
8 5.1 Improper Integrals 5.10 Ex.: 8, 14, 16
9 Catch up and Review For Exam Chapter 5 Review Ex.: 9-32
10 Exam I
11 6.2 Volumes 6.2 Ex.: 5, 7, 8, 14, 16
12 6.2 Volumes 6.2 Ex.: 2, 10, 13, 14
13 6.3 Volumes By Cylindrical Shells 6.3 Ex. 9,10, 11, 12
14 6.4 Arc Length 6.4 Ex.: 7, 8, 9, 11
15 6.5 Average Value 6.5 Ex.: 5, 14, 15, Project “Where to sit at the movies”
16 8.1 Sequences 8.1 Ex.: 4, 6, 14, 16, 41
17 8.1 Sequences
18 8.2 Series 8.2 Ex.: 4, 6, 22, 26
19 Catch up And Review Project due
20 Exam II
21 8.3 Integral and Comparison Tests 8.3 Ex.: 6, 10, 16, 18
22 8.4 Other Convergence Tests 8.4 Ex.: 21, 22, 26, 29
23 8.4 Other Convergence Tests
24 8.5 Power Series 8.5 Ex.: 13, 14, 19, 20
25 8.6 Representations of Functions as Power Series 8.6 Ex.: 5, 6, 7, 8
26 8.7 Taylor and Maclaurin Series 8.7 Ex.: 5, 6, 13, 14
27 Catch up and Review for Final Exam
28 Final Exam

Updated by Professor K. Horwitz - 1/17/2018
Department of Mathematical Sciences Course Syllabus, Spring 2018