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Math 112: Calculus II
Fall 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 integration, applications of integration, series, exponential and logarithmic functions, transcendental functions, polar coordinates, and conic sections.

Number of Credits: 4

Prerequisites: MATH 111 with a grade of C or better or MATH 132 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 112-001 Professor K. Sullivan
Math 112-003 Professor K. Sullivan
Math 112-005 Professor R. Kelly
Math 112-009 Professor J. Zaleski
Math 112-011 Professor R. Kelly
Math 112-013 Professor V. Saini
Math 112-015 TBA
Math 112-017 Professor J. Zaleski
Math 112-019 Professor D. Schmidt
Math 112-023 Professor N. Tsipenyuk
Math 112-029 Professor N. Tsipenyuk
Math 112-101 Professor J. Hayes
Math 112-103 TBA

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

Required Textbook:

Title Thomas' Calculus: Early Transcendentals
Author Hass, Heil, and Weir
Edition 14th
Publisher Pearson
ISBN # 978-0134768496

University-wide Withdrawal Date:The last day to withdraw with a w is Monday, November 12, 2018. It will be strictly enforced.

Course Goals

Course Objectives

Course Outcomes

Course Assessment: The assessment of objectives is achieved through homeworks, quizzes, and common examinations with common grading.


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, HW, and MATLAB 15%
Common Midterm Exam I 15%
Common Midterm Exam II 20%
Common Midterm Exam III 20%
Final Exam 30%

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

A 88 - 100 C 66 - 71
B+ 83 - 87 D 60 - 65
B 77 - 82 F 0 - 59
C+ 72 - 76

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 a requirement for this class.  Online homework will be completed with MyMathLab, which comes with a new copy of the textbook.  Access to it can also be purchased directly from the website.

Quiz Policy: Quizzes will be given approximately once a week throughout the semester. They will be based on the lecture, homework and the in-class discussions. There will be 8-12 assessments given throughout the semester.

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

Common Midterm Exam I September 26, 2018
Common Midterm Exam II October 24, 2018
Common Midterm Exam III November 28, 2018
Final Exam Period December 15 - 21, 2018

The time of the midterm exams is 4:15-5:40 pm for daytime students and 5:45-7:10 pm for evening students. 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.

Missed Exam Policy: If one common exam is missed with an excused absence from the Dean of Students, then the final exam score will count in the place of the missed exam.

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:

Mandatory Tutoring Policy: Based upon academic performance indicating a significant gap in understanding of the course material, students may receive a notice of being assigned to mandatory tutoring to assist in filling the gap. A student will have 2 points deducted from the course average for each instance in which the required tutoring is not completed by the stated deadline.

Cellular Phones: All cellular phones and other electronic devices must be switched off and put away during all class times.

Additional Resources

Math Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Fall 2018 Hours)

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 2018 Academic Calendar, Registrar)

Date Day Event
September 4, 2018 T First Day of Classes
September 10, 2018 M Last Day to Add/Drop Classes
November 12, 2018 M Last Day to Withdraw
November 20, 2018 T Thursday Classes Meet
November 21, 2018 W Friday Classes Meet
November 22 - 25, 2018 R - Su Thanksgiving Recess
December 12, 2018 W Last Day of Classes
December 13 & 14, 2018 R & F Reading Days
December 15 - 21, 2018 Sa - F Final Exam Period

Course Outline

Lecture Section Topic Assignment in MyMathLab Assignment to Hand-in
1 5.6 Review of Integration, u/du substitution Section 5.4 #s:  1,23,31
Section 5.5 #s: 18,19,21,25,33,
Section 5.6 #s: 27,29,39,53
2 6.1 Volumes Using Cross Sections 5,9,17,19,23,30,33,37 Section 6.1 #s:  8,10,17,21,25
(for 17,21 & 25 clearly show a sketch of the revolved figure)
3 6.1 Continue Volumes Using Cross Sections 41,42,43,45,47,49,51,53,55,59 Section 6.1 #:  64ab
4 6.2 Volumes Using Cylindrical Shells 3,5,9,11,17,19,21,25,29,33,48
(plus selected other problems from chapter 8)
5 6.3 Arc Length 1,2,3,4,5,7,15,27
6 6.4 Areas of Surfaces of Revolution 9,13,15,17,19,21,24
7 6.5 Work 3,5,6,7,8,9,11
8 6.5 Work 16,17,18,19,20 Section 6.5 #s:  4,10,21
9 7.3, 8.1 Basic Integration Formulas (derive derivatives and integrals for sinh(x), cosh(x) from 7.3) Section 8.1 #s: 5,9,10,15,27,33,37
Section 7.3 #s: 6,7,9,13,17,43
11 8.2 Integration by Parts 1,3,6,8,13,15,22,23,35,37,39,
12 8.3 Trigonometric Integrals 7,9,11,13,17,19,27,31,35,37, 39,45,64,65,67
13 8.4 Trigonometric Substitution  5,7,11,17,19,23,29,35, 41,43,57 Section 8.4 #s:
14 8.4/8.5 Continue Trig Substitution & Start Integration by Partial Fractions Section 8.4:  Continue above assignment
Section 8.5: 3,7,11,14,16,17,20
15 8.5 Integration of Rational Functions by Partial Fractions 25,29,33,35,37,41 Section 8.5 #s:  9,18,30,39
16 8.7 Numerical Integration 3,7,13,17,21,28
MATLAB #1 assigned: DUE November 3rd
17 8.8 Improper Integrals 1,4,6,7,9,11,13,17,21,23,25,31
18 8.8 Improper Integrals 39,43,45,51,57,59,63,65,67,71,73
19 10.1 Sequences 3,7,9,17,21,23,25,35,39,41,45,49,
20 10.2 Infinite Series 5,7,13,33,35,41,45,47,57,59,61, 63, 67,71,77,79,94,95,98,99
21 10.2/10.3 Continue Infinite Series & Start Integral Test Continue above assignment
23 10.3/10.4 Finish Integral Test & start Comparison Tests No online homework Section 10.3 #s:  3,6,9,11,13,14,15,19,20,
24 10.4 Comparison Tests No online homework Section 10.4 #s:  1,4,5,12,18,19,21,23,28,31,
33,34,36,37, 38,41,45,47,56
25 10.5 Root and Ratio Tests No online homework Section 10.5 #s: 2,7,9,18,19,20,34,37,43,45
26 10.6 Alternating Series, Absolute vs. Conditional Convergence No online homework Section 10.6 #s:  5,7,9,10,11,12,13,15,19,20,
27 10.6 Alternating Series, Absolute vs. Conditional Convergence No online homework Section 10.6 #s:  27,31,33,34,35,37,39,41,44,
28 FLEX DAY:  Use on Series Convergence, Power Series or Taylor Series as needed
29 10.7 Power Series 3,5,9,11,15,19,21,23,27
30 10.7 Power Series Continue above assignment Section 10.7 #s: 22,24,31,32,
31 10.8 Taylor and McLaurin Series 3,5,8,9,11,15,18,23,29,31,35
MATLAB #2 assigned:  DUE November 30th
32 10.9 Convergence of Taylor Series 1,9,10,13,17,19,22,25
33 10.9 Convergence of Taylor Series 31,33,39,41,43,45,47,52,53
34 10.1 Applications of Taylor Series 23,25,29,31,35,39,45,49,55,61
35 11.1/11.2 Parametrization of Plane Curves & Start Calculus with Parametric Curves Section 11.1 #s:  1,3,5,7,9,16, 19,39,31,33,35,37,41,49
37 11.2 Calculus with Parametric Curves 7,9,12,13,15,21,26,28,29,35 MATLAB #2 is DUE
38 11.3 Polar Coordinates 1,5,7,13,17,23,27,32,37,47, 51,59,61,63
39 11.4 Graphing in Polar Coordinates No online homework 1,2,3,4,5,6,19 (graph only), 20 (graph only), 21,23,25
40 11.5 Areas and Lengths in Polar Coordinates 1,5,7,11,12,13,15,17
41 11.5 Areas and Lengths in Polar Coordinates 21,23,25,27,28
42 Catch Up and Review

Updated by Professor D. Blackmore - 1/15/2018
Department of Mathematical Sciences Course Syllabus, Fall 2018