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Math 112H: 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: Topics include techniques of integration, approximation, sequences, series, parametric equations, and polar coordinates. Applications include motion, volumes, surface areas, arc lengths, and work.

Number of Credits: 4

Prerequisites: Math 111H with a grade of B or better or Math 111 with a grade of A or Math 132 with a grade of A.

Course-Section and Instructors

Course-Section Instructor
Math 112-H02 Professor J. Porus

Office Hours for All Math Instructors: Spring 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, April 2, 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:

Homework 8%
Quizzes 8%
2 Projects 8%
Common Midterm Exam I 16%
Common Midterm Exam II 16%
Common Midterm Exam III 16%
Final Exam 28%

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

A 90 - 100 C 67 - 73
B+ 84 - 89 D 60 - 66
B 79 - 83 F 0 - 59
C+ 74 - 78

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. All homework for the summer session is listed, by section, below. On line homework will be in My Math Lab sections listed will be in conjunction with your text.

MATLAB Assignments: MATLAB is a mathematical software program that is used throughout the science and engineering curricula. Two MATLAB assignments will be given during the semester; tutors are available to help students having difficulties in accordance with a posted schedule.

How to Get Started with MyMathLab:

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 February 14, 2018
Common Midterm Exam II March 7, 2018
Common Midterm Exam III April 18, 2018
Final Exam Period May 4 - 10, 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.

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:

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)

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 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: 18,19,21,25,33,43,
Section 5.6 #s: 27,29,39,53
2 7.3,
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
3 8.2 Integration by Parts 1,3,6,8,13,15,22,23,35,37,39,
4 8.3 Trigonometric Integrals 7,9,11,13,17,19,27,31,35,37,
5 8.4 Trigonometric Substitution  5,7,11,17,19,23,29,35, 41,43,
Section 8.4 #s:  1,12,20,44,49,57
6 8.4/
Continue Trig Substitution & Start Integration by Partial Fractions Section 8.4:  Continue above assignment
Section 8.5: 3,7,11,14,16,17,
7 8.5 Integration of Rational Functions by Partial Fractions 25,29,33,35,37,41 Section 8.5 #s:  9,18,30,39
8 8.7 Numerical Integration 3,7,13,17,21,28
Project #1 Assigned
9 8.8 Improper Integrals 1,4,6,7,9,11,13,17,21,23,25,31
10 8.8 Improper Integrals 39,43,45,51,57,59,63,65,67,71,
12 10.1 Sequences 3,7,9,17,21,23,25,35,39,41,45,
13 10.2 Infinite Series 5,7,13,33,35,41,45,47,57,59,61,
14 10.2/
Continue Infinite Series & Start Integral Test Continue above assignment
15 10.3/
Finish Integral Test & start Comparison Tests No online homework Section 10.3 #s:  3,6,9,11,13,
14,15,19, 20,23,25,27,35,36,48
16 10.4 Comparison Tests No online homework Section 10.4 #s:  1,4,5,12,18,19,
17 10.5 Root and Ratio Tests No online homework Section 10.5 #s: 2,7,9,18,19,20,34,37,43,45
18 10.6 Alternating Series, Absolute vs. Conditional Convergence No online homework Section 10.6 #s:  5,7,9,10,11,12,
19 10.6 Alternating Series, Absolute vs. Conditional Convergence No online homework Section 10.6 #s:  27,31,33,34,35,
20 FLEX DAY:  Use on Series Convergence, Power Series or Taylor Series as needed
22 10.7 Power Series 3,5,9,11,15,19,21,23,27
23 10.7 Power Series Continue above assignment Section 10.7 #s: 22,24,31,32,39
24 10.8 Taylor and McLaurin Series 3,5,8,9,11,15,18,23,29,31,35
25 10.9 Convergence of Taylor Series 1,9,10,13,17,19,22,25
26 10.9 Convergence of Taylor Series 31,33,39,41,43,45,47,52,53
27 10.1 Applications of Taylor Series 23,25,29,31,35,39,45,49,55,61
Project #2 Assigned
28 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)
29 6.1 Continue Volumes Using Cross Sections 41,42,43,45,47,49,51,53,55,59 Section 6.1 #:  64ab
30 6.2 Volumes Using Cylindrical Shells 3,5,9,11,17,19,21,25,29,33,48
(plus selected other problems
from chapter 8)
31 6.3 Arc Length 1,2,3,4,5,7,15,27
32 6.4 Areas of Surfaces of Revolution 9,13,15,17,19,21,24
33 6.5 Work 3,5,6,7,8,9,11
34 6.5 Work 16,17,18,19,20 Section 6.5 #s:  4,10,21
36 11.1/
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
38 11.3 Polar Coordinates 1,5,7,13,17,23,27,32,37,47,51,
39 11.4 Graphing in Polar Coordinates (no slopes) 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 J. Porus - 1/22/2018
Department of Mathematical Sciences Course Syllabus, Spring 2018