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.
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 112-031 | Prof. |
Math 112-032 | Prof. Ratnaswamy |
Math 112-131 | Prof. Mohebbi |
Grading Policy: The final grade in this course will be determined as follows:
▪ Quizzes & Homework: |
15% |
▪ 2 Common Midterm Exams: |
25% each |
▪ Final Exam: |
35% |
A |
88-100 |
C |
65-71 |
B+ |
83-87 |
D |
60-64 |
B |
77-82 |
F |
0-59 |
C+ |
72-76 |
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Drop Date: Please note that the University Drop Date July 10, 2013 deadline will be strictly enforced.
Attendance Policy: Math 112 meets three 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 online assignments
can be completed at
www.mymathlab.com or
www.coursecompass.com. In order to access the online
assignments, you will need to have a student access code. Access
codes are included with a new book that is bundled with MyMathLab;
codes can be purchased separately
from the textbook 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. 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:
June 19, 2013
Exam 2:
July 10, 2013
Final Exam:
August 8, 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.
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. Teaching Assistants are also available in the math learning center.
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.
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Full Summer Session Begins |
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Last Day To Register For Full Semester Course |
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Memorial Day ~ University Closed |
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July 4th Holiday ~ University Closed |
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Last Day To Withdraw from Full Semester Course |
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Full Summer Session Ends |
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Final Exam |
Course Outline and Homework Assignments:
Dates |
Section&
Topic |
Lecture and
Homework Assignments |
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6.1: |
Volumes Using Cross-Sections |
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p.371: |
5,9,10*,15,17,21,28,31,35,36* |
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6.1: |
Volumes Using Cross-Sections (cont.) |
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p.371: |
39,43,45,47,49,51,52*,53,57 |
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5/30 |
6.2: |
Volumes Using Cylindrical Shells |
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p.379: |
3,5,9,11,17,19,21,25,29,33,47*,48* |
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6/4 |
6.3: |
Arc Length |
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p.386: |
1,2,3,5,7,9,21,22* |
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6/5 |
6.4: |
Areas of Surfaces of Revolution |
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p.391: |
9,13,15,17,19,21,24,32* |
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6/6 |
6.5: |
Work |
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p.398: |
3,5,6,7,9,13,15,17,18,19* |
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6/10 |
7.3: |
Hyperbolic Functions |
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p.441: |
1,7,9,15,17,21,23,43,45,47,49,53, 55,57,80*,81 |
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6/12 |
8.1: |
Integration by Parts |
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p.459: |
4,5,11,13,23,27,28*,29,33,35,37,38*,45,47,53 |
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6/13 |
8.2: |
Trigonometric Integrals |
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p.466: |
5,9,11,17,19,21,27,31,35,37,39,45,63*,64*,67,71 |
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6/17 |
8.4 |
Integration of Rational
Functions by Partial Fractions |
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p.479: |
3,6,7,9,13,14,17,18*,19 |
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6/18 |
Å |
REVIEW FOR
EXAM I ~ |
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Å |
Study for EXAM I |
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6/19 |
COMMON EXAM 1: MONDAY,
JUNE 19, 2013 |
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Å |
GO OVER EXAM 1 |
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6/20 |
8.4: |
Integration of Rational Functions by Partial
Fractions (cont.) |
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p.479: |
23,25,27,29,30*,33,35,38*,39,45,55 |
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6/20 |
Å |
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Å |
Due on |
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6/20 |
8.6: |
Numerical Integration |
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p.493: |
3,7,13,17,21,28 |
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6/24 |
8.7: |
Improper Integrals |
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p.505: |
1,4,6,7,9,11,13,16*,17,21,23,25,31 |
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8.7: |
Improper Integrals (cont.) |
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p.505: |
35,39,41,47,53,54*,55,59,61,63,64*,67,69 |
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6/26 |
10.1: |
Sequences |
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p.559: |
3,7,9,15,17,21,23,25,31,35,37,41, 45,48*,49,50*,51 |
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10.1:
10.2: |
Sequences (cont.) and
Infinite Series |
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p.559: |
53,61,67,69,70*,73,74*,79,81,87,89,99
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10.2: |
Infinite Series |
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p.569: |
3,5,7,13,25,29,31,37,41,43,53,55, 59,61,63*,64*,65,69,71 |
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6/27 |
10.3: |
The Integral Test |
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p.575: |
3,6,9,11,13,19,23,25,27,29,33,34*, 35,36*,49,51 |
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7/1 |
10.4: |
Comparison Tests |
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p.580: |
1,3,4*,5,19,21,25,27 |
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10.4:
10.5: |
Comparison Tests (cont.) and
The Ratio and Root Tests |
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p.580: |
23,28,31,32,34,35,37,40*,41,46*,47,51 |
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7/3 |
10.5: |
The Ratio and Root Tests
(cont.) |
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p.585: |
5,7,9,13,18,19,21,29,31,35,42,55, 56*,57,58*,59 |
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7/3 |
10.5: |
The Ratio and Root Tests
(cont.) |
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p.585: |
5,7,9,13,18,19,21,29,31,35,42,55, 56*,57,58*,59 |
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7/8 |
10.6: |
Alternating Series, Absolute and Conditional
Convergence |
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p.591: |
1,7,9,10,11,12*,13,15,19,21,23,25 |
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10.6: |
Alternating Series, Absolute and Conditional
Convergence (cont.) |
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p.591: |
27,30*,34,35,37,39,44,47,50*,51,53 |
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7/10 |
Review for exam 2 |
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7/10 |
COMMON EXAM 2: MONDAY, JULY 10, 2013 |
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7/15 |
10.7: |
Power Series |
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p.600: |
3,5,9,11,15,19,21,23,24*,27 |
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7/17 |
10.7: |
Power Series (cont.) |
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p.600: |
31,32*,37,41,43,47,49,51* |
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7/18 |
10.8: |
Taylor and Maclaurin Series |
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p.606: |
3,5,8,9,11,15,18,23,29,31,34*,35 |
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Å |
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Å |
DUE ON
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7/22 |
10.9: |
Convergence of Taylor Series |
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p.613: |
1,9,10,11,13,16*,19,21,25 |
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10.9: |
Convergence of Taylor Series (cont.) and |
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p.613: |
29,35,36*,37,39,41,43,48*,49 |
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7/24 |
10:10: |
The Binomial Series and Applications of Taylor
Series |
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p.613: |
29,35,36*,37,39,41,43,48*,49 |
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10.10: |
The Binomial Series and Applications of Taylor
Series (cont.) |
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p.620: |
1,3,5,13,23,25,26*,29,31,35,39,40*,45,49,55
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7/25 |
11.1: |
Parametrizations of Plane Curves |
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p.634: |
1,3,5,7,9,12*,16
20,21,25,27,31,32*,33,39 |
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7/29 |
11.2: |
Calculus with Parametric Curves |
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p.634: |
20,21,25,27,31,32*,33,39
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11.2: |
Calculus with Parametric Curves (cont.) |
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p.643: |
7,9,12,13,15,21,26,28,29,31,33,35,47* |
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7/31 |
11.3: |
Polar Coordinates |
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p.648: |
1,5,7,13,17,23,27,32,37,47,51,59, 60,61 |
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11.4: |
Graphing in Polar Coordinates |
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p.652: |
1,7,9,13,17,18*,19,25,27 |
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8/1 |
11.5: |
Areas and Lengths in Polar Coordinates |
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p.656: |
1,7,10*,11,13,15,17 |
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8/5 |
11.5: |
Areas and Lengths in Polar Coordinates (cont.) |
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p.656: |
21,23,24*,27,28 |
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8/7 |
Å |
REVIEW FOR
FINALEXAM |
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Å |
Study for
FINAL
EXAM |
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Finals |
FINAL EXAM
WEEK: AUGUST 8, 2013 |
Prepared By: Prof. Soroosh Mohebbi
Last revised: May 3, 2013