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: Addison-Wesley, Pearson Education, Inc. © 2010. ISBN-13:9780321648426; ISBN-10: 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 problem-solving 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 course-related information, follow the link below)
Math 112-002 | Prof. Horntrop |
Math 112-004 | Prof. Afkhami |
Math 112-006 | Prof. Adepo |
Math 112-008 | Prof. Ward |
Math 112-010 | Prof. Hunter |
Math 112-012 | Prof. Hunter |
Math 112-014 | Prof. Zaleski |
Math 112-016 | Prof. Milojevic |
Math 112-018 | Prof. Brown |
Math 112-024 | Prof. Guerra |
Math 112-102 | Prof. Ratnaswamy |
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 |
88-100 |
C |
65-71 |
B+ |
83-87 |
D |
60-64 |
B |
77-82 |
F |
0-59 |
C+ |
72-76 |
|
|
Drop Date: Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.
Attendance Policy: Math 112 meets 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.
Homework Policy:
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 hand-in assignments while the
remaining problems constitute the online assignments. The homework
assignments are online at
www.mymathlab.com
or
www.coursecompass.com.
In order to complete the 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/UG-Files/MML_GettingStarted.pdf
▪ http://m.njit.edu/Undergraduate/UG-Files/NJIT-MML-studentregistration.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.
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 problem-solving 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 13, 2013
Exam 2:
March 6, 2013
Exam 3:
April 10, 2013
Final Exam Week:
May 9-15, 2013
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 department's
Examination Policy.
This policy will be
strictly enforced. Please note that electronic devices (such as calculators, cell phones,
MP3 or CD players,
etc.) are not allowed during any exam. Please refer to the
registrar's website for the official date and time of each
exam at http://www.njit.edu/registrar/exams/index.php
Makeup Exam Policy: There will be No make-up 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. Assistantance is also available at the Mathematics Tutoring Center and at Cape.
Cellular Phones: All cellular phones and beepers 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 university-wide 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 |
|
Su-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
|
T |
Last Day to Withdraw from this course |
|
F |
Good Friday ~ University Closed |
|
T |
Classes follow a Friday Schedule, Last Day of Classes |
|
W |
Reading Day |
|
T-W |
Final Exams |
Course Outline and Homework Assignments:
Week |
Section
& Topic |
Lecture and
Homework Assignments |
|||
1 |
6.1: |
Volumes
Using Cross-Sections |
1 |
p.371: |
5,9,10*,15,17,21,28,31,35,36* |
|
6.1: |
Volumes
Using Cross-Sections (cont.) |
2 |
p.371: |
39,43,45,47,49,51,52*,53,57 |
|
6.2: |
Volumes
Using Cylindrical Shells |
3 |
p.379: |
3,5,9,11,17,19,21,25,29,33,47*,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: |
3,5,6,7,9,13,15,17,18,19* |
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*,45,47,53 |
|
8.2: |
Trigonometric Integrals |
9 |
p.466: |
5,9,11,17,19,21,27,31,35,37,39,45,63*,64*,67,71 |
4 |
Å |
REVIEW FOR
EXAM
I ~ 02/13/2013 |
10 |
Å |
Study for EXAM I |
|
Common Exam 1:
Wednesday,
February 13, 2013 |
||||
|
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: |
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*,33,35,38*,39,45,55 |
|
Å |
|
Å |
DUE ON
3/11/13 |
|
|
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*,17,21,23,25,31 |
|
8.7:
|
Improper
Integrals (cont.) |
17 |
p.505: |
35,39,41,47,53,54*,55,59,61,63,64*,67,69 |
|
10.1: |
Sequences |
18 |
p.559: |
3,7,9,15,17,21,23,25,31,35,37,41, 45,48*,49,50*,51 |
7 |
Å |
REVIEW FOR
EXAM
II ~ 3/6/2013 |
19 |
Å |
Study for
EXAM II |
|
COMMON EXAM 2:
WEDNESDAY,
MARCH 6, 2013 |
||||
|
10.1:10.2: |
Sequences
(cont.) and Infinite
Series |
20 |
p.559: |
53,61,67,69,70*,73,74*,79,81,87,89,99
|
|
Å |
GO OVER
EXAM 2 |
|
|
|
|
10.2: |
Infinite
Series |
21 |
p.569: |
3,5,7,13,25,29,31,37,41,43,53,55, 59,61,63*,64*,65,69,71 |
8 |
10.3: |
The
Integral Test |
22 |
p.575: |
3,6,9,11,13,19,23,25,27,29,33,34*, 35,36*,49,51
and MATLAB 1 is due |
|
10.4: |
Comparison
Tests |
23 |
p.580: |
1,3,4*,5,19,21,25,27 |
|
10.4:
10.5: |
Comparison
Tests (cont.) and The Ratio
and Root Tests |
24 |
p.580: |
23,28,31,32,34,35,37,40*,41,46*,47,51 |
3/17 - 3/24 |
Spring Break
~ No Classes
Scheduled |
||||
9 |
10.5: |
The Ratio and Root Tests
(cont.) |
25 |
p.585: |
5,7,9,13,18,19,21,29,31,35,42,55, 56*,57,58*,59 |
|
◘
march 26, 2013:
(T)
LAST DAY TO
WITHDRAW FROM THIS COURSE |
||||
|
10.6: |
Alternating Series, Absolute and Conditional Convergence |
26 |
p.591: |
1,7,9,10,11,12*,13,15,19,21,23,25 |
|
◘
march 29, 2013:
(F)
Good Friday
~ No Classes Scheduled |
||||
10 |
10.6: |
Alternating Series, Absolute and Conditional Convergence
(cont.) |
27 |
p.591: |
27,30*,34,35,37,39,44,47,50*,51,53 |
|
10.7: |
Power
Series |
28 |
p.600: |
3,5,9,11,15,19,21,23,24*,27 |
|
10.7: |
Power
Series (cont.) |
29 |
p.600: |
31,32*,37,41,43,47,49,51* |
11 |
Å |
REVIEW FOR
EXAM
III ~ 4/10/2013 |
30 |
Å |
Study for EXAM III |
|
COMMON EXAM 3:
WEDNESDAY,
APRIL 10, 2013 |
||||
|
10.8: |
Taylor and
Maclaurin Series |
31 |
p.606: |
3,5,8,9,11,15,18,23,29,31,34*,35 |
|
Å |
GO OVER
EXAM 3 |
|
|
|
|
10.9: |
Convergence of Taylor Series |
32 |
p.613: |
1,9,10,11,13,16*,19,21,25 |
|
Å |
|
Å |
DUE ON
4/22/13 |
|
12 |
10.9:
10:10: |
Convergence of Taylor Series (cont.) and The
Binomial Series and Applications of Taylor Series |
33 |
p.613: |
29,35,36*,37,39,41,43,48*,49 |
|
10.10: |
The
Binomial Series and Applications of Taylor Series (cont.) |
34 |
p.620: |
1,3,5,13,23,25,26*,29,31,35,39,40*,45,49,55,61
|
|
11.1: |
Parametrizations of Plane Curves |
35 |
p.634: |
1,3,5,7,9,12*,16 |
13 |
11.1:
11.2: |
Parametrizations of Plane Curves (cont.) and Calculus
with Parametric Curves |
36 |
p.634: |
20,21,25,27,31,32*,33,39 and
MATLAB 2 is due |
|
11.2: |
Calculus
with Parametric Curves (cont.) |
37 |
p.643: |
7,9,12,13,15,21,26,28,29,31,33,35,47* |
|
11.3: |
Polar
Coordinates |
38 |
p.648: |
1,5,7,13,17,23,27,32,37,47,51,59, 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 7, 2013: (T)
Classes Follow a
Friday
Schedule |
||||
Finals |
FINAL EXAM WEEK:
may 9-15, 2013 |
Prepared By: Prof. David Horntrop
Last revised: January 11, 2013