Syllabi Header

Math 113-001: 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 113-001 Professor J. Kappraff

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

Required Textbook:

Title No Book
Author ---
Edition ---
Publisher ---
ISBN # ---

There is no textbook for this course. I will be distributing my own notes each week on Moodle.

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:

Homework 20%
Quizzes 20%
Midterm Exam 25%
Final Exam 35%

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

A 90 - 100 C 65 - 74
B+ 85 - 89 D 55 - 64
B 80 - 84 F 0 - 54
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. You must come to class no later than 10 minutes after the beginning of the class or else you will be counted as absent.

Homework and Quiz Policy: There will be a short quiz each week, daily homework, a midterm and a final.   I will also place on Moodle an optional math puzzle each week which you may do for extra credit although this will be optional. 

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

Midterm Exam Week 8
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


Calculus and Structures by Jay Kappraff = (K)
Additional Notes = (A)
Weekly Puzzles = On Moodle

Week # Topic and HW Problems
Week 1 Linear functions  -  Chapter 1(K)   14/1,2,5,6,79,10,11,12,15,18,21
Functions  -  Chap. 2(K)   24K/1,2,3    31K/4   34K/5    35K/6,7a,b,d
Week 2 Functions   - Chap 2 (K)    41K/1,2,4,5,8,14,18,19
Areas under a curve      Chap. 3(K)    51K/1
Week 3 Areas   Chap. 3(K)    59K/3-6,8-11, 17-19
Rate of change – Chapter 4(K)    69K/1-6,8,9,11,17-19
Week 4 Accumulated rate of change- Chapter 5(K)   80 K/1,2,4-6,8,14
Instantaneous rate of change and the derivative -  Sec. 1.4(A)   141 A/1,3,5,7,17,19,25,30-33,40,41
Derivatives and slopes of curves
Week 5 Derivatives of logs and exponentials    
Power law and differentiation the easy way  Sec. 1.5 (A)     154 A/1-21 odd, 57-59odd,53-69 odd
Higher  derivatives   Sec. 1.8(A)     182A/1-18 odd
Week 6 Chain rule   Sec. 1.7 A     173(A)/ 1-7
First derivative and absolute max and min  -  Chap. 12(K)    185K/1, 257A/3,5,7,11,15
Vectors and forces 1-  Ch  6(K)    85K/1-3
Week 7 Curve sketching  -  Ch. 11(K)     179K/1-4
2nd Derivatives and graphs –  Ch 11(K)/176
Tangent lines to a curve – Sec. 1.4(A)     142A/17,19,20,21
Vectors and forces 2 -  Ch 6(K)       Ch 6K/ 4,5
Week 8 Review for midterm
Midterm Exam
Week 9 Antiderivatives  - Sec.  4.1 (A)      396A/ 1-31 odd,    
Given the derivative of a function, find the function  - Sec. 4.1(A)    397A/47-53 odd
Signed area under a curve by anti-derivatives – 4.3 (A)    421A/ 1-37 odd, 43-51 odd    
Week 10 Fundamentals of structures-  Ch 6(K)     92K/ 6-8
Shear force and bending moments for a concentrated load - Chap 7 (K)
Week 11 Computing moments by the calculus method  - Chap. 18 (K)
Shear force and bending moments for a continuous load -  Chap 8 (K)
Week 12 Justification of the calculus method for evaluating beams – Chap. 17 (K)
Deflection of a beam - Chap. 19 (K)
Week 13 Product and quotient laws – Chap. 13 (K)  -    205K/1-40 odd
Week 14 Review for Final Exam

Updated by Professor J. Kappraff - 8/30/2017
Department of Mathematical Sciences Course Syllabus, Fall 2017