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.
Math 112: Calculus II
Number of Credits: 4
Course Description: Topics include integration, applications of integration, series, exponential and logarithmic functions, transcendental functions, polar coordinates, and conic sections. Effective From: Spring 2009.
Prerequisites: Math 111 with a grade of C or better or Math 132 with a grade of C or better.
Textbook: Thomas’ Calculus Early Transcendentals, 12e Media Upgrade (Bundled w/ MML SAK), by Thomas, Weir & Hass. Pub: AddisonWesley, Pearson Education, Inc. © 2010. ISBN13:9780321648426; ISBN10: 0321648420.
Math Tutoring Help (click here)
Course Website: MyMathLab  Course Compass
Objectives
Students should (a) develop greater depth of understanding of integration and its importance in scientific and engineering applications, (b) learn about series, including their convergence properties and their use in representing functions, (c) gain experience in the use of approximation in studying mathematical and scientific problems and the importance of mathematically understanding and evaluating the accuracy of approximations, (d) learn new ways of mathematically representing curves and how to use calculus in these settings, and (e) learn alternative coordinate systems which are natural for many problems and learn how calculus can be applied in these systems.
Students should gain an appreciation for the importance of calculus in scientific, engineering, computer, and other applications.
Students should gain experience in the use of technology to facilitate visualization and problem solving.
Outcomes
Students have improved logical thinking and problemsolving skills.
Students have a greater understanding of the importance of calculus in science and technology.
Students are prepared for further study in mathematics as well as science, engineering, computing, and other areas.
Assessment
The assessment of objectives is achieved through homeworks, quizzes, and common examinations with common grading.
Instructor: (for specific courserelated information, follow the link below)
Math 112002  Prof. Horntrop 
Math 112004  Prof. Zaleski 
Math 112006  Prof. Diekman 
Math 112008  Prof. Ward 
Math 112010  Prof. Hunter 
Math 112012  Prof. Jiang 
Math 112014  Prof. Wu 
Math 112016  Prof. Hunter 
Math 112018  Prof. Rahman 
Math 112020  Prof. Michal 
Math 112022  Prof. Porus 
Math 112024  Prof. Kelly 
Math 112102  Prof. Ward 
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework, Quizzes & 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.
NOTE: This course needs to be passed with a grade
of C or better in order to proceed to
Math 211,
Math 213 or
Math 222.
A 
88100 
C 
6571 
B+ 
8387 
D 
6064 
B 
7782 
F 
059 
C+ 
7276 


Drop Date: Please note that the University Drop Date March 31, 2014 deadline will be strictly enforced.
Homework: Calculus is learned by
solving problems. In Math 112, there are two kinds of homework
assignments: 1)
assignments which are written out by hand and turned in, and 2)
assignments which are completed online. The homework assignments
are listed on the syllabus; the * superscript denotes those
problems which constitute the handin assignments while the
remaining problems constitute the online assignments. The online
assignments can be completed at
www.mymathlab.com or
www.coursecompass.com.
In order to complete the online assignments you need to
have a student access code. Access codes are included with new
book that is bundled with MyMathLab; they can also be obtained
by purchasing the code separately at the campus bookstore or
online at the course website. If you buy a new book from another
source make sure it is bundled with MyMathLab. In
addition, on the first day of class your course instructor will
give you an additional code needed to access the homework
assignments. NOTE:
Homework Assignments are DUE frequently (at least weekly) at the
dates and times specified online and by your instructor.
How to get started with MyMathLab:
▪
http://m.njit.edu/Undergraduate/UGFiles/MML_Getting_Started.pdf
▪
http://m.njit.edu/Undergraduate/UGFiles/Technology_Tips.pdf
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.
Quizzes:
Quizzes are given in class
on a frequent basis (at least weekly). All of the quizzes will
be graded. The homework and quizzes are intended to develop your
problemsolving skills and to help you prepare for the exams.
Attendance Policy:
Day sections of Math 112 meet four times a week; there are three
lectures and one recitation hour. Recitation classes provide an
additional opportunity for you to seek help with homework and
concepts taught in class. Attendance at all classes (both
lecture and recitation) will be recorded and is mandatory.
Please make sure you read and fully understand the Department’s
Attendance Policy.
This policy will be strictly enforced.
Quiz Policy:
Quizzes are given in class on a frequent basis (at least weekly).
All of the quizzes will be graded. The homework and quizzes are
intended to develop your problemsolving skills and to help you
prepare for the exams.
Examinations: There will be three common midterm exams during the semester and one comprehensive final exam during the final exam week. Exams are held on the following days:
Exam 1: 
February 12, 2014 
Exam 2: 
March 12, 2014 
Exam 3: 
April 23, 2014 
Final Exam Week: 
May 814, 2014 
Makeup Examination Policy:
There will be
No makeup
EXAMS or Quizzes during the semester. In the event
the Final Exam is not taken, under rare circumstances where the
student has a legitimate reason for missing the final exam, a
makeup exam will be administered by the math department. In any
case the student must notify the Math Department Office and
the Instructor that the exam will be missed and present
written verifiable proof of the reason for missing the exam,
e.g., a doctors note, police report, court notice, etc., clearly
stating the date AND time of the mitigating problem.
Further Assistance:
For further questions, students should contact their Instructor.
All Instructors have regular office hours during the week. These
office hours are listed at the link above by clicking on the
Instructor’s name. Teaching Assistants are also available at the
Math Tutoring Center on the second floor of Cullimore Hall and
at CAPE.
Cellular Phones:
All cellular phones
and other electronic devices must be switched off during all
class times.
MATH DEPARTMENT CLASS POLICIES LINK
All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official universitywide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.
M 
Dr. Martin Luther King, Jr. Day ~ University Closed 

SuSu 
Spring Recess ~ No Classes Scheduled ~ University Open 

M 
Last Day to Withdraw from this course 

F 
Good Friday ~ University Closed 

T 
Classes follow a Friday Schedule 

W 
Reading Day 

RW 
Final Exams 
Course Outline and Homework Assignments:
Week 
Section
& Topic 
Lecture and
Homework Assignments 

1 
6.1: 
Volumes Using CrossSections 
1 
p.371: 
5,9,10^{*},15,17,21,28,31,35,36^{*} 


6.1: 
Volumes Using CrossSections (cont.) 
2 
p.371: 
39,43,45,47,49,51,52^{*},53,57 


6.2: 
Volumes Using Cylindrical Shells 
3 
p.379: 
3,5,9,11,17,19,21,25,29,33,42^{*},47^{*},48^{*} 

2 
6.3: 
Arc Length 
4 
p.386: 
1,2,3,5,7,9,21,22^{*} 


6.4: 
Areas of Surfaces of Revolution 
5 
p.391: 
9,13,15,17,19,21,24,32^{*} 


6.5: 
Work 
6 
p.398: 
3,5,6,7,8^{*},9,13,15,17,18,19^{*} 

3 
7.3: 
Hyperbolic Functions 
7 
p.441: 
1,7,9,15,17,21,23,43,45,47,49,53,55,57, 80^{*},81 


8.1: 
Integration by Parts 
8 
p.459: 
4,5,11,13,23,27,28^{*},29,33,35,37,38^{*},45, 46^{*},47,51^{*},53 


8.2: 
Trigonometric Integrals 
9 
p.466: 
5,9,11,17,19,21,27,31,35,37,39,45,63^{*}, 64^{*},65^{*},67,71 

4 
Å 
REVIEW FOR
EXAM
I ~ 02/12/2014 
10 
Å 
Study for EXAM I 


Common Exam 1:
Wednesday,
February 12, 2014 


8.3: 
Trigonometric Substitution 
11 
p.470: 
1,3,5,7,15,17,19,20^{*},21 


Å 
GO OVER EXAM 1 





8.3: 
Trigonometric Substitution (cont.) 
12 
p.470: 
12^{*},23,29,31,35,37,39,41,43,44^{*},53,57^{*} 

5 
8.4: 
Integration of Rational Functions by Partial Fractions 
13 
p.479: 
3,6,7,9,13,14,17,18^{*},19 


8.4: 
Integration of Rational Functions by Partial Fractions (cont.) 
14 
p.479: 
23,25,27,29,30^{*},31^{*},33,35,38^{*},39,45,55 


Å 

Å 
DUE ON 3/5/14 


8.6: 
Numerical Integration 
15 
p.493: 
3,7,13,17,21,28 

6 
8.7: 
Improper Integrals 
16 
p.505: 
1,4,6,7,9,11,13,16^{*},17,21,23,25,28^{*},31 


8.7:

Improper Integrals (cont.) 
17 
p.505: 
35,39,41,47,53,54^{*},55,59,61,63,64^{*},67, 69,71^{*} 


10.1: 
Sequences 
18 
p.559: 
3,7,9,15,17,21,23,25,31,35,37,41,45,48^{*}, 49,50^{*},51 

7 
10.1: 10.2: 
Sequences (cont.) and Infinite Series 
19 
p.559: 
53,61,67,69,70^{*},73,74^{*},79,80^{*},81,87,89,99



10.2: 
Infinite Series 
20 
p.569: 
3,5,7,13,25,29,31,37,41,43,53,55,59,61, 63^{*},64^{*},65,69,71
and MATLAB 1 is due 


10.3: 
The Integral Test 
21 
p.575: 
3,6,9,11,13,19,20^{*},23,25,27,29,33,34^{*},35,36^{*},49,51 

8 
Å 
REVIEW FOR
EXAM
II ~ 3/12/2014 
22 
Å 
Study for EXAM II 


COMMON EXAM 2:
WEDNESDAY,
MARCH 12, 2014 


10.4: 
Comparison Tests 
23 
p.580: 
1,3,4^{*},5,19,21,25,27 


Å 
GO OVER EXAM 2 





10.4:
10.5: 
Comparison Tests (cont.) and The Ratio and Root Tests 
24 
p.580: 
23,28,31,32,34,35,36^{*},37,40^{*},41,46^{*},47,51 

3/16  3/23 
Spring Break
~ No Classes
Scheduled 

9 
10.5: 
The Ratio and Root Tests
(cont.) 
25 
p.585: 
5,7,9,13,18,19,21,29,31,35,38^{*},42,55,56^{*},57,58^{*},59 


10.6: 
Alternating Series, Absolute and Conditional Convergence 
26 
p.591: 
1,7,9,10,11,12^{*},13,15,19,21,23,24^{*},25 


10.6: 
Alternating Series, Absolute and Conditional Convergence (cont.) 
27 
p.591: 
27,30^{*},34,35,37,39,42^{*},44,47,50^{*},51,53 

10 
10.7: 
Power Series 
28 
p.600: 
3,5,9,11,15,19,21,22^{*},23,24^{*},27 


◘
march 31, 2014:
(M)
LAST DAY TO
WITHDRAW FROM THIS COURSE 


10.7: 
Power Series (cont.) 
29 
p.600: 
31,32^{*},37,41,43,47,49,51^{*} 


10.8: 
Taylor and Maclaurin Series 
30 
p.606: 
3,5,8,9,11,15,18,23,29,31,34^{*},35 

11 
10.9: 
Convergence of Taylor Series 
31 
p.613: 
1,9,10,11,13,16^{*},19,21,25,26^{*} 


Å 

Å 
DUE ON 4/16/14 


10.9:
10:10: 
Convergence of Taylor Series (cont.) and The Binomial Series and Applications of Taylor Series 
32 
p.613: 
29,31^{*},35,36^{*},37,39,41,43,48^{*},49 


10.10: 
The Binomial Series and Applications of Taylor Series (cont.) 
33 
p.620: 
1,3,5,13,23,25,26^{*},29,31,35,39,40^{*},45,49,55,61 

12 
11.1: 
Parametrizations of Plane Curves 
34 
p.634: 
1,3,5,7,9,12^{*},16 


11.1:
11.2: 
Parametrizations of Plane Curves (cont.) and Calculus with Parametric Curves 
35 
p.634: 
20,21,25,27,31,32^{*},33,39,40^{*} and
MATLAB 2 is due 


◘
april 18, 2014:
(F)
Good Friday
~ No Classes Scheduled 

13 
Å 
REVIEW FOR
EXAM
III ~ 4/23/2014 
36 
Å 
Study for EXAM III 


COMMON EXAM 3:
WEDNESDAY,
APRIL 23, 2014 


11.2: 
Calculus with Parametric Curves (cont.) 
37 
p.643: 
7,9,12,13,15,14^{*},21,26,28,29,31,33,35,47^{*} 


Å 
GO OVER EXAM 3 





11.3: 
Polar Coordinates 
38 
p.648: 
1,5,7,13,17,23,27,32,37,38^{*},42^{*},47,51,59,60,61 

14 
11.4: 
Graphing in Polar Coordinates 
39 
p.652: 
1,7,9,13,17,18^{*},19,25,27 


11.5: 
Areas and Lengths in Polar Coordinates 
40 
p.656: 
1,7,10^{*},11,13,15,17 


11.5: 
Areas and Lengths in Polar Coordinates (cont.) 
41 
p.656: 
21,23,24^{*},27,28 

15 
Å 
REVIEW FOR
FINAL EXAM 
42 
Å 
Study for
FINAL EXAM 


◘
may 6, 2014: (T)
Classes Follow a
Friday
Schedule 

Finals 
FINAL EXAM WEEK:
may 814, 2014 
Prepared By: Prof. David Horntrop
Last revised: January 6, 2014