Faculty Information
Instructor
Department &
College
Office
E-mail &
Website
Dr. Fuad Khalil Al-Muhannadi
Mathematics, Statistics and Physics – Mathematics
Program
College of Arts & Sciences
BCR- E130
Tel 4403-6036
almuhannadi@qu.edu.qa
http://faculty.qu.edu.qa/falmuhannadi
Course Information
Course Title
Calculus I
Course & Section Math 101
Number
L 52
3
Credit Hours:
Prerequisites
Weekly Contact
Hours
Math P100 (Pre-calculus)
4
Venue
Mon & Wed: 11:00 – 12:15
Sun:
13:00 – 13.50
C01- D201
Semester
Spring, 2013
Start of
Instructions
Last Day of
Instructions
Final Exam Date
& Time
Sunday, February 10 , 2013
Timetable
Total Hours of
Instruction
Office Hours &
Venue
Wednesday, May 22, 2013
Sunday, May 26, 2013
14.00 – 16.00
56 contact hours
Monday & Wednesday (12:30 – 14:00)
C01-A210
Additional Learning Support
1. Tutorials Provided by the
Department
Tutor: Ms. Samar Jaffer
( samarj@qu.edu.qa )
Mon (15:30 – 17:.00), Room: C01-A213
Tutor: Mr. Hasan Abdalla
( habdalla@qu.edu.qa )
Sun(11:00 – 12:.00), Room: C01-A210
2. Tutorials Provided by the
Student Learning Support
Center (SLSC)
SI Leader: Safa:
Sun(12:00 – 13:.00), ), Mon(10:00 –
11:.00), Thu(11:00 – 12:.00)
SI Leader: Honaida:
Sun((12:00 – 13:.00), ), Tue(10:00 –
11:.00), Thu(08:00 – 09:.00)
Text Book, References & Other Resources
Textbook
Calculus, by James Stewart, 6th Edition, 2008, Brooks/Cole.
Book Website:
http://www.stewartcalculus.com/media/7_home.php
References
1. Calculus . by Howard Anton , 8th edition,2002, John Wiley & Sons, Inc.
2. Calculus, by R.T. Smith and R.B. Minton, Second Edition, 2002, McGrawHill.
3. Calculus, by H. Anton, I. Bivens, and S. Davis, 8th Edition, 2002, Wiley
Course Website
http://faculty.qu.edu.qa/falmuhannadi/spring2013/s13-cal1.htm
Syllabus Items
1. Limits and Continuity
The limit. One-sided limits. Limit theorems. Vertical, horizontal and slant
asymptotes. Continuity. Continuity of trigonometric functions. The
intermediate-value theorem. The extreme-value theorem.
2. Differentiation
Tangent lines and rates of change. The derivative. Rules of differentiation.
Derivatives of higher order. Differentiation of trigonometric, logarithmic and
exponential functions. The chain rule. Implicit differentiation.
3. Applications of Derivatives
Increasing and decreasing functions. Relative extreme values. The first
derivative test. The second derivative test. Absolute extreme values.
Concavity. Points of inflection. Vertical tangents and cusps. Curve sketching.
Max-Min problems. Mean-Value theorem. Rolle's Theorem.
4. Integration
Antiderivatives. Indefinite and definite integrals. The fundamental theorem of
Calculus. Properties. Integral formulas. Average value. Integration by
substitution.
5. Inverse Functions, Exponential & Logarithmic Functions and L’
Hospital’s Rule
Inverse function, continuity and differentiability of the inverse. Integration and
differentiation of logarithmic and exponential functions. L’ Hospital’s Rule.
Course Objectives
1. Introduce limits and continuity, and develop skills for their determination.
2. Introduce the derivative, and develop skills for using rules of
differentiation.
3. Provide skills related to applications of the derivative.
4. Introduce the definite and indefinite integrals, and develop skills for their
evaluation.
5. Provide skills related to some applications of the integral.
Learning Outcomes
1. Evaluate Limits of functions using various techniques including L ’Hospital’s
Rule
2. Discuss the continuity of functions,
3. Identify the properties of inverse functions and their derivatives
4. Find the derivative of algebraic, trigonometric, exponential, and logarithmic
functions
5. Sketch the graph of a function using the information for the first and second
derivatives
6. Solve problems involving applications of derivatives including, related rates
and optimization
7. Identify the definition and properties associated with definite integrals
8. Solve problems using the Fundamental Theorem of Calculus
9. Evaluate integrals using the method of substitution.
DETAILED TIME SCHEDULE
Week
1
Date
Feb. 10- Feb. 14
Sec.
1.5
1.6
3.4
1.8
2.1
2.2
Topics
The Limit of a Function
Calculating Limits Using the Limit Laws
Infinite Limits and at Infinity. Asymptotes
Continuity
Derivatives and Rates of Change
The Derivative as a Function
2
Feb. 17- Feb. 21
3
Feb. 24 - Feb. 28
4
Mar.03- Mar.07
2.3
2.4
Differentiation Formulas
Derivatives of Trigonometric Functions
5
Mar. 10 - Mar. 14
2.5
2.6
The Chain Rule
Implicit Differentiation
6
Mar. 17 - Mar. 21
2.8
Related Rates
7
Mar. 24 - Mar .28
First Exam; Saturday Mar 23, 14:00 – 16:00
3.1
3.2
Mar. 31 - Apr .04
8
Apr.07 - Apr.11
9
Apr.14 - Apr.18
10
Apr. 21- Apr. 25
11
Apr. 28- May. 02
Maximum and Minimum Values
The Mean Value Theorem
Spring Break
3.3
3.4
3.5
3.7
3.9+4.4
4.1
4.2+4.3
4.5
How Derivatives Affect the Shape of a Graph
Limits at Infinity: Horizontal Asymptotes and slant
Asymptotes
Summary of Curve Sketching
Optimization Problems
Antiderivatives & Indefinite Integrals
Areas and Distances
The Fundamental Theorem of Calculus with Properties
of Definite Integrals.
The Substitution Rule
Second Exam; Saturday May 04, 14:00 – 16:00
12
May. 05- May.09
6.1
6.2
Inverse Functions.
Exponential Functions and their Derivatives
13
May.12 - May.16
6.3
6.4
6.8
Logarithmic Functions
Derivatives of Logarithmic Functions
5.1
5.2
5.3
Areas between Curves
Volumes
Volumes by Cylindrical Shells
14
May. 19- May.23
Indeterminate forms and L’Hospital’s Rule
Final Exam: Sunday May, 26, 14:00 – 16:00
Assessment Tools
First & Second Examination: 20% each
Final Examination: 40%
Quizzes: 10%
MatLab Assignment : 5% + Two Special Assignments : 5%
Rules & Regulations
The student is expected to:
(1) Attend on a regular basis (Missing 14 hours of lecture, which amounts to
25% absence, will automatically result in an “F” grade), arrive to the lecture on
time, ask questions, participate in the discussion and speak up one’s mind
about the various aspects of the course and feel free to volunteer ideas and
suggestions.
(2) Visit the course website and blackboard before and after each lecture to
read or download certain material, such as lecture notes and home quizzes,
learn about certain announcement such as deadlines or change of schedules
or get reminded that a certain assignment is due.
(3) Do the homework and come to see me or any of the tutors during the
office hours or tutorial sessions, especially, when encountering difficulties in
understanding the material or in doing the homework.
(4) Not to depend on the calculator in solving problems. No calculator is
allowed during exams or in-class quizzes. Use graphing calculator and excel
sheets only when instructed (such as when doing the “Riemann sum”
assignment with the purpose of learning how to utilize technology and not to
substitute it for mastering basic algebraic skills.
(5) Turn off the mobile and place it completely out of sight during the lecture
and when attending office-hours and tutorial sessions.
(6) Interact in an emotionally mature and respectful manner with both the
instructor and the other students.
(7) Not to copy the work of another student.
Although the students are allowed and even encouraged to discuss home
quizzes with each other, it must be understood that preparing the work to be
turned in has to be done by the student alone. The student is trusted to follow
this rule. Breaking such trust has consequences. The handing of copied work
will result in the instructor’s turning down all home quizzes and assignments
from the offending students (thus assigning a score of zero for home quizzes
and assignments ). Other measures may also be taken.
(8) Inform the instructor about any special needs due to any physical
challenge one is facing in order to be provided with the needed assistance or
the appropriate arrangements