QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
1. Major Course Information
Course Syllabus
Math 102 (Calculus II) Girls
Spring Semester 2013
1.1 Course Data
Course Number: Math 102
Course Title: Calculus II
Course Section: L54
Course CRN: 24878
Credit Hours: 3
Contact hours: 4
Pre-requisite : Calculus I
Course Status: Major compulsory
First day of Classes: February 10, 2013
Last day of Classes: May 23, 2013
Time: Mondays and Wednesdays 9:30-10:45 and Sundays 11:00-11:50.
Location: D-210 College of Arts and Sciences Female Building.
Required Text: Calculus by James Stewart, 6th Edition, 2008, Brooks/Cole
1.2 Faculty Information
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Name: Dr. Safeer Hussain Khan
E-mail: safeer@qu.edu.qa
Office Phone: 4403 4614
Office Location: C 216 (male)
OFFICE HOURS:
 Sundays 12-1 PM
 Monday Wednesday 1230-130 PM
 By appointment
Office hours in Room A210 College of Arts and Sciences Female Building.
CourseSyllabusCalculusIIDr.SafeerHussainKhan
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
1.3 Course Description
MATH 102 is the second course in a three-course calculus series (CALCULUS I-III) which is
required for Science and Engineering students. It starts from the study of transcendental
functions. Then a very important part covers the techniques of integration. Parametric equations
and polar coordinates are studied and applied to find area in polar coordinates. Finally the
sequences and series are taken into account. A number of tests for convergence are learned in this
course. Taylor and Maclaurin’s series are applicable series.
1.4 Course Contents
1. Transcendental Functions:
Inverse trigonometric functions. Hyperbolic functions. Inverse hyperbolic functions.
Derivative of inverse hyperbolic functions. Integrals involving inverse trigonometric and
inverse hyperbolic functions.
2. Techniques of Integration:
Integration by parts. Integrals involving trigonometric functions. Trigonometric
substitutions. Partial fractions. Rationalizing substitutions. Improper Integrals.
3. Parametric Equations and Polar Coordinates:
Polar coordinates. Curves defined by parametric equations. Tangent lines and length for
parametric and polar curves. Area in polar coordinates.
4. Sequences and Infinite Series:
Sequences. Infinite series. Convergence tests. Absolute and conditional convergence of
alternating series. Power series. Taylor series
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
1.5 Course Objectives
The course aims at:
1. To introduce trigonometric inverse functions and their properties.
2. To introduce Hyperbolic functions and their inverses.
3. To develop skills to evaluate integrals using different integration techniques.
4. To introduce improper integrals and methods for their evaluation.
5. To introduce sequences and use it to develop the study of properties of infinite series.
6. To introduce infinite series and develop skills to determine their convergence.
7. To introduce power series and expansion of functions in Taylor series and Maclaurin series.
8. To introduce polar coordinate system and find the tangent lines and arc length for
parametric and polar curves.
9. To find area in polar coordinates.
1.6 Educational Outcomes
By the end of the course, the students should be able to:
1. Identify the properties of inverse trigonometric functions, hyperbolic, and inverse
hyperbolic functions.
2. Find the derivatives and integrals of inverse trigonometric, hyperbolic, and inverse
hyperbolic functions.
3. Evaluate the indefinite and improper integrals by using different integration techniques.
4. Identify the properties of sequences and their limits.
5. Use various tests to determine convergence of series.
6. Perform standard operations with convergent power series, including the method of
differentiating and integrating term by term.
7. Use Taylor and Maclaurin series to approximate functions.
8. Sketch the graphs of parametric and polar equations.
9. Use parametric and polar equations to solve applied problems including area and arc
length.
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
1.7 Distribution of Contents
Lectures schedule
Week
1
Date
FEB 10—FEB 14
Sec.
6.6
Topics
6.7
Inverse Trigonometric Functions, Derivatives and
Integrals Involving Inverse Trigonometric Functions.
Hyperbolic Functions, Inverse Hyperbolic Functions.
Derivatives and Integrals Involving Inverse
Hyperbolic Functions.
2
FEB 17—FEB 21
7.1
7.2
Integration by Parts
Trigonometric Integrals
3
FEB 24—FEB 28
Trigonometric Substitution
4
MAR 3—MAR 7
7.3
7.4
7.5
7.8
8.1
5
6
7
8
9
10
11
12
13
14
Integrating Rational Functions by Partial Fractions
Strategy for Integration
Improper Integrals
Arc Lengths
Review for Exam 1
First Exam; Saturday March 16, 14--16
8.2
MAR17-MAR 21
Area of surface of revolution
8.3
Applications to Physics and Engineering
MAR10-MAR14
MAR 24-MAR 28
10.1
10.2
APR 21--APR 25
11.3
11.4
Curves Defined by Parametric Equations
Calculus with Parametric Curves
March 31 — April 6 Spring Break
Polar Coordinates.
10.3
APR 7—APR 11
Areas and Lengths in Polar Coordinates
10.4
11.1
APR 14—APR 18
Sequences
11.2
Series
The Integral Test and Estimates of Sums
The comparisons Tests
11.5
APR 28--MAY 2
Alternating series
Review for Exam 2
Second Exam; Saturday April 27, 14--16
11.6
MAY 5—MAY 9
Absolute Convergence and the Ratio and Root Tests
11.7
Strategy for Testing Series
11.8
MAY 12-MAY 16
Power Series
11.9
Representations of Functions as Power Series
11.10
MAY 19-MAY 23
Taylor and Maclaurin Series
Final Exam: Sunday, May 26, 14-16
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
Delivery Methods
We will use different types of teaching methods including:
 Presentation explaining material.
 Problem solving.
 Discussion - actively involving students in learning by asking questions that provoke
thinking and verbal response.
 Using Math packages explaining some material.
 The lecture will be posted on the e-learning tool Blackboard, so pay your full attention to
the class and try to understand everything.
1.8 Learning Resources & Media
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In class we will use Digital Camera to explain mathematical formulas
Data show will be used also to visualize some important graphs in the three dimension
space
We will use some math packages including MATHEMATICA.
Blackboard will be used frequently: http://mybb.qu.edu.qa/
The Student companion site for the text:
http://www.stewartcalculus.com/media/7_home.php
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Spring2013
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
1.9 Additional Sources
Online Sources
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The Student companion site for the text:
http://www.stewartcalculus.com/media/7_home.php
http://tutorial.math.lamar.edu/
http://www.mathword.wolfram.com
Google and other search engines
Printed Sources
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Calculus by H. Anton, I. Bivens and S. Davis, 8th Edition, 2005, Wiley.
Calculus, by Swokowski, Sixth Edition 1994,PWS Publishing Company, Boston.
Calculus with Analytic Geometry, by H. Edwards and D. E. Penny, 5th Edition, 1998,
Prentice Hall.
Calculus, by R.T. Smith and R.B. Minton, 2nd Edition, 2002, McGraw-Hill.
Calculus: One and Several Variables by S. L. Salas, G. J. Etgen and E. Hille; 10th
Edition, 2007, John Wiley & Sons.
Calculus, Early Transcendentals by J. Stewart, 6th Edition, 2008, Brooksw/Cole.
Non-Printed Sources
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Course notes will be posted on the blackboard system: http://mybb.qu.edu.qa/
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
2.5 Assessment Policy and Tools
Grades for the course will be assigned as follows:
Percent grade
Letter grade
Earned Points
90 100
A
4.0
85 - 89
80 - 84
B+
3.5
B
3.0
75 79
C+
2.5
70 - 74
65 - 69
60 - 64
below 60
C
2.0
D+
1.5
D
1.0
F
0.0
Description of Exams:
1. Exams: (80%) There will be three major exams:
1. First Exam: 22.5%, Saturday, 16 March 2013
2. Second Exam: 22.5%, Saturday, 27 April 2013
3. Final Exam: 35%, Sunday, 26 May 2013
14:00 - 16:00
14:00 - 16:00
14:00 - 16:00
Each exam will consist of comprehensive questions; there will be partial credits, so students are
required to show all their work to maximize their grades.
2. Quizzes (10%)
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Approximately a total of 4 quizzes during the course. Quizzes will be announced in
advance. Each quiz will normally consist of 2 - 3 questions.
No make-up quizzes in any case.
Best 3 out of 4 will be chosen for evaluation.
3. Assignments (5%)
 Approximately 3-4 assignments, students are required to answer all problems.
 Late submission leads to deduction of marks.
4. Mathematica (5%)
 Mathematica assignments carry 5% marks.
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
2.6 Methods of Student Evaluation
Marks are awarded on the basis of both presentation and concept.
Students should show all their work to maximize their grades.
Three examinations will be given: First Major Exam, Second Major Exam and
the Final Exam.
The final exam is comprehensive. Make-up for final examination only under
official permission by the university.
Four or Five quizzes will be given. As a matter of principle, no quiz will be
repeated. Best three will be counted towards evaluation.
Four or Five assignments will be given and best three will be chosen for
evaluation. Assignments are to be returned on time. Late submission will result
in loss of marks. A presentation of the assignment problems may be required in
the class and carries marks.
Special assignment involving use of Mathematica carries five percent marks.
The exam dates and times and the due dates and times for the home works, that we
agree upon cannot be and will not be changed. Exam 1 and Exam2 may be re-taken
only under a genuine reason like proven illness or mishap. A certificate of the same
is required before the make-up exam.
2.7 Learning Activities and Tasks
Basically students are responsible for their own ongoing learning process. They
need to do their assignments independently unless they are allowed to work in
groups.
Different activities for learning are done and tasks are given both in and outside the
class.
 Students are involved in the lecture by asking different related questions.
 A quick revision helps the students in continuity of the material.
 They are made to think and give their opinion.
 Practice problems help them to learn more about the topic.
 Assignments give them a deeper vision.
 Presenting their assignments gives them a chance to share the ideas.
 Post-exam discussions make their concepts and presentations better.
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
2.8Practice Problems
"Practice makes a man perfect" is a well-known saying. It is particularly true for
mathematics students. Following are the Recommended Practice Problems from the
text book. These problems are meant for the least practice. They only show the type
of the problems you will encounter in this course. You are strongly urged to solve
much more problems to get an excellent skill.
Recommended Problems in the Textbook, to be attempted by the students
LIST OF SELECTED PROBLEMS
7.1: 1 - 27 (odd), 29 – 41 (odd)
7.6: 1 – 13 (odd), 23 – 39 (odd), 43 – 46, 59-70
7.7: 1 – 23 (odd), 31 – 47 (odd), 54, 55, 57 – 65
8.1: 1 – 37 (odd), 43, 44, 45(a,b), 47 – 53 (odd)
8.2: 1 – 49 (odd), 57, 62, 67, 69
8.3: 1 – 31 (odd)
8.4: 1 – 51 (odd)
8.5: 1 – 79 (odd)
8.8: 1 – 39 (odd), 49 – 57 (odd)
9.1: 3-17 (odd)
9.2: 1 – 15 (odd), 27, 29, 33
9.3: 1 – 17 (odd), 29, 31, 35, 41, 45
11.1: 1 – 21 (odd), 24, 28, 31, 33, 41
11.2: 1 – 7 (odd), 11 – 19 (odd), 25, 31, 33, 39, 41, 44
11.3: 1 – 47 (odd), 49, 55, 59, 63, 65, 69
11.4: 1 – 41 (odd)
12.1: 1 – 45 (odd), 54, 61 – 65 (odd), 80
12.2: 1, 9, 11 – 51 (odd), 52, 55, 59, 65, 71
12.3: 3 – 29 (odd), 33, 39
12.4: 1, 2, 3 – 35 (odd), 39, 40, 41, 42
12.5: 1 – 19 (odd), 23, 25, 27, 29
12.6: 1 – 33 (odd)
12.7: 1 – 37 (odd)
12.8: 1 – 31 (odd)
12.9: 1 – 17 (odd), 23, 26, 27, 29, 35, 37
12.10: 1 – 37 (odd), 45, 47-50, 53, 57, 59, 63, 67
Edition 6
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
Recommended Problems in the Textbook, to be attempted by the students
LIST OF SELECTED PROBLEMS
6.1: 1 - 27 (odd), 29 – 41 (odd)
6.6: 1 – 13 (odd), 23 – 39 (odd), 43 – 46, 59-70
6.7: 1 – 23 (odd), 31 – 45 (odd), 54, 57, 59 – 67
7.1: 1 – 42 (odd), 47, 48, 49(a,b), 51 – 58 (odd)
7.2: 1 – 49 (odd), 57, 62, 67, 69
7.3: 1 – 31 (odd)
7.4: 1 – 51 (odd)
7.5: 1 – 81(odd)
7.8: 1 – 39 (odd), 49 – 57 (odd)
8.1: 3-17 (odd)
8.2: 1 – 15 (odd), 27, 29, 33
8.3: 1 – 17 (odd), 29, 31, 35, 41, 45
10.1: 1 – 21 (odd), 24, 28, 31, 33, 41
10.2: 1 – 7 (odd), 11 – 19 (odd), 25, 31, 33, 39, 41, 44
10.3: 1 – 45 (odd), 47, 53, 57, 61, 63, 65
10.4: 1 – 41 (odd)
11.1: 1 – 55 (odd), 64, 71 – 78 (odd), 92
11.2: 1, 9, 17 – 63 (odd), 64, 67, 73,79, 85
11.3: 3 – 31 (odd), 37, 43
11.4: 1, 2, 3 – 35 (odd), 39, 40, 41, 42
11.5: 1 – 19 (odd), 23, 25, 27, 29
11.6: 1 – 31 (odd),35
11.7: 1 – 37 (odd)
11.8: 1 – 31 (odd)
11.9: 1 – 19 (odd), 25, 28, 29, 31, 37, 39
11.10: 1 – 37 (odd), 45, 47-50, 53, 57, 59, 63, 69
Edition 7
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
2.9 Some instructions for the students
Classroom Discipline
 The use of mobile telephones inside the classroom and during examinations is NOT
allowed. Anyone found using mobile will be asked to leave the class. If you do it
twice, you will counted absent for one day.
 Any disciplinary issues, which may arise, will be referred to the Head of the
Department.
General i n s t r u c t i o n s .
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Feel free to ask any question related to the course material inside the class, in the
designated office hours, on-request office hours or by email.
Prior to class, look over the section that will be covered.
Check blackboard site http://mybb.qu.edu.qa for announcements and some class
material like class notes, assignments, syllabus, assignments and exams solutions,
etc.
Only a limited use of calculators is allowed in the examinations. Such use is
announced during the examination.
Homework Problems will be assigned, and students are strongly urged to solve
much more problems than indicated by the instructor.
Department of Mathematics, Statistics and Physics provides syllabi very close to
the ones of the most international universities. Deducting and cutting short this
syllabus is impossible and the students should understand this in advance.
2.10 Course Regulations
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Class attendance is compulsory. In accordance with University regulations, a
student’s absence cannot exceed 25% of the total number (entire semester) of class
meetings. If your absence rate exceeds 25%, including both excused and
unexcused absences, you will NOT be allowed to take the final examination and
will receive an ‘F barred’ grade for the course
 Students are expected to be punctual in class attendance and to conduct themselves
in an adult and professional manner. Every 3 late class arrivals will be counted as
one class absence.
 Homework assignments should be worked independently. While exchanging ideas
is permitted orally, any kind of copying is not.
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QATAR UNIVERSITY / COLLEGE OF ARTS AND SCIENCES
DEPARTMENT OF MATH, STAT AND PHYSICS/MATH PROGRAM
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Homework assignments should be submitted in an organized way and any late
assignments may be assessed and corrected but the grade may be reduced even to
zero.
2.11 Plagiarism (Academic Dishonesty)
 All students are expected to turn in work that is their own. Any attempt to pass off
another's work as your own will constitute an "F" in the entire course.
 Using part of, or the entire work, prepared by another or turning in a homework
assignment prepared by another student or party are examples of plagiarism.
 You may discuss assignments and projects with each other, but you should do the
work yourself. In the case of group projects, you will be expected to do your share
of the work. If you use someone else's words or ideas, you must cite your sources.
Plagiarism is considered a serious academic offence and can result in your work
losing marks or being failed. QU expects its students to adopt and abide by the
highest standards of conduct in their interaction with their professors, peers, and the
wider University community. As such, a student is expected not to engage in
behaviours that compromise his/her own integrity as well as that of QU. You may
discuss assignments and projects with each other, but you should do the work
yourself. In the case of group projects, you will be expected to do your share of the
work. If you use someone else's words or ideas, you must cite your sources.
Plagiarism includes the following examples and it applies to all student assignments
or submitted work:
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Use of the work, ideas, images or words of someone else without his/her permission.
Use of someone else's wording, name, phrase, sentence, paragraph or essay without using
quotation marks.
Misrepresentation of the sources that were used.
For further information see: http://www.plagiarism.org/
The instructor has the right to fail the coursework or deduct marks where
plagiarism is detected...
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