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Math 138: General Calculus I
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: Intended for students who are not in Science or in Engineering. An introduction to differential and integral calculus of a single variable.

Number of Credits: 3

Prerequisites: MATH 107 with a grade of C or better, or MATH 110 with a grade of C or better or NJIT placement.

Course-Section and Instructors

Course-Section Instructor
Math 138-002 Professor T. Sherman
Math 138-004 Professor T. Sherman
Math 138-006 Professor K. Horwitz
Math 138-102 Professor M. Hercules

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

Required Textbook:

Title Calculus: Concepts and Contexts bundled w/ WebAssign
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 20%
Midterm Exam II 25%
Final Exam 35%

Your final letter grade will be based on the following tentative curve. NOTE: This course needs to be passed with a grade of C or better in order to proceed to Math 238 or Math 246.

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.”

Homework Policy: Homework is an expectation of the course.  The problems listed in the syllabus are to be handed in. There will be additional homework on WebAssign is expected to be completed by the deadlines set forth in the web portal. If you have any difficulties with registering and getting an account with web assign please see the professor immediately.

Quiz Policy: There will be 8-12 quizzes given throughout the semester.  They will be based on the lecture, homework and the in-class discussions.

Exams: There will be two midterm exams held in class during the semester and one comprehensive final exam. The following exam periods are tentative and therefore possibly subect to change:

Midterm Exam I Lecture 12
Midterm Exam II Lecture 20
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

Lecture Section Topic Assignment
1 2.2 The Limit of a Function 2.2 ex: 4, 6, 14, 16
2 2.3 Calculating Limits using Limit Laws 2.3 ex: 12, 16, 18, 20
3 2.5 Limits Involving Infinity 2.5 ex: 4, 16, 20, 22, 24
4 2.6 Derivatives and Rates of Change 2.6 ex: 6, 8, 11, 13
5 2.7 The Derivative as a Function 2.7 ex: 4, 14, 19, 21, 26
6 3.1 Derivatives of Polynomials and Exponential Functions 3.1 ex: 4, 8, 12, 50
7 Appendix C Trigonometry Appendix C: ex: 21, 23, 25
8 3.2 Product and Quotient Rules 3.2 ex: 3, 5, 15, 17
9 3.3 Derivatives of Trigonometric Functions 3.3 ex: 3, 5, 11, 15, 16
10 3.4 Chain Rule 3.4 ex: 3,4,12,16.
11   Catch up and Review for Exam 1
12 Exam 1
13 3.5 Implicit Differentiation 3.5 ex: 6, 8, 22, 24
14 3.7 Derivatives of Log Functions 3.7 ex: 4, 8, 10, 12
15 3.8 Rates of Change in the Natural and Social Sciences 3.8 ex: 8, 12a, 14
16 4.1 Related Rates 4.1 ex: 11-14
17 4.2 Max and Min Values 4.2 ex: 4, 6, 24, 26
18 4.3 Derivatives and Shapes of Curves 4.3 ex: 8, 12, 22, 24
19   Catch up and Review for Exam 2
20 Exam 2
21 4.5 Indeterminate forms and L’Hopital’s Rule 4.5 ex: 5, 8, 31, 34
22 4.6 Optimization Problems 4.6 ex: 10, 14, 18, 40
23 4.8 Antiderivatives
24 5.1 Areas and Distances 5.1 ex: 1-2
25 5.2 The Definite Integral 5.2 ex: 5
26 5.3 Evaluating Definite Integrals 5.3 ex: 4, 10, 14, 24
27 5.4 The Fundamental Theorem of Calculus 5.4 ex: 8, 24
28   Catch up and Review for Final Exam
Final Exam

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