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Math 113-101: Finite Mathematics and Calculus I
Fall 2017 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: An introduction to differential and integral calculus. Applications include area, volumes, curve lengths, surface area, centroids, and moments. Focus is on application throughout the course.

Number of Credits: 3

Prerequisites: (Intended for Architecture students.) MATH 107 with a grade of C or better, or MATH 110with a grade of C or better, or NJIT placement.

Course-Section and Instructors

Course-Section Instructor
Math 113-101 Professor M. Hercules

Office Hours for All Math Instructors: Fall 2017 Office Hours and Emails

Required Textbook:

Title Calculus and Its Applications
Author Bittinger
Edition 10th
Publisher Cengage
ISBN # 978-0321694331
Extra Materials Calculus and Structures by Jay Kappraff

University-wide Withdrawal Date: The last day to withdraw with a W is Monday, November 6, 2017. 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:

Quizzes 20%
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 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.

Homework Policy: Homework problems will be assigned in class and should be handed in on the due date.

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 Week 5
Midterm Exam II Week 9
Final Exam Period December 15 - 21, 2017

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: Fall 2017 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: Fall 2017 Academic Calendar, Registrar)

Date Day Event
September 5, 2017 T First Day of Classes
September 11, 2017 M Last Day to Add/Drop Classes
November 6, 2017 M Last Day to Withdraw
November 21, 2017 T Thursday Classes Meet
November 22, 2017 W Friday Classes Meet
November 23 - 26, 2017 R - Su Thanksgiving Break - University Closed
December 13, 2017 W Last Day of Classes
December 14, 2017 R Reading Day
December 15 - 21, 2017 F - R Final Exam Period

Course Outline

Week # Section # Topic
WEEK 1 R.4 and R.5 Linear and Non-Linear Functions
1.1 - 1.2 Limits and Continuity
Average Rate of Change
WEEK 2 1.4 - 1.6 Differentiation Using Limits
The Power and Sum-Difference Rules
The Product and Quotient Rules
WEEK 3 1.7 - 1.8 The Chain Rule
Higher Order Derivatives
WEEK 4 2.1 First Derivatives
2.2, 2.3 Second Derivatives and Graphs
WEEK 6 2.4, 2.5 Maximum and Minimum Values of Functions, Applications of Max/Min
WEEK 7 2.7 Implicit Differentiation,
Related Rates, Opt
WEEK 8 3.1 - 3.3, 3.5 Exponentials, Logarithmic Functions and Applications, Their Derivatives
WEEK 10 4.1 - 4.3 Anti-differentiation, Area and Definite Integrals
WEEK 11 4.4 Properties of Definite Intervals
Fundamental Theorem of Calculus
WEEK 12 6.1 Functions of Several Variables
6.2 Partial Derivatives
WEEK 13 6.3 Max - Min Problems
6.4 The Least-Squares Technique
WEEK 14 6.6 Double Integrals
WEEK 15 └► FINAL EXAM WEEK: DECEMBER 15 - 21, 2017

Updated by Professor M. Hercules - 9/12/2017
Department of Mathematical Sciences Course Syllabus, Fall 2017