Qatar University
College of Arts and Sciences
Department of Mathematics, Statistics and Physics
Course Title
Course Number
CALCULUS 1
Math 101
3 hours Credit Hours:
Prerequisites None
Class meetings: 4 hrs per week
Contact Hours
Lecture days and time
Class Room
Semester
Semester Start Date
Last day of classes
Number of weeks
TEXTBOOK
12:30-1:45 Mon.&Wed. , 12:00-12:50 Tuesday . Group L04
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9:30-10:45 Mon.&Wed. , 11:00-11:50 Sunday . Group L05
Business&Econ. Building – room D214 and main men’s building,
Room B05-213 - Group L04
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Faculty of Science- Corridor E201, and Main men’s building room
B05-204 - Group L05
Spring 2013
Feb., 10 th
, 2013
May., 23 th
, 2012
15 weeks
Calculus, by James Stewart, 7 th
Edition, 2012, Brooks/Cole
REFERENCES  Calculus with Analytic Geometry.
By C. H. Edwards and D.
E. Penny, 5 th
Edition, 1998, Prentice Hall


Calculus .
Howard Anton 8 th
edition (2007) by Howard Anton,
(John Wiley & Sons, Inc, New York).
Calculus. By R.T. Smith and R.B. Minton, Second Edition,
2002, McGraw-Hill.
Instructor
Department
Zead Mustafa
Mathematics, Statistics and Physics
1

Office Location
Office phone
Office Hours
BCR-E207
4403-4648
11:00 -12:00 Monday
1:00 -2:00 Tuesday
11:00-12:00 Wednesday zead@qu.edu.qa
E-mail
The course aims at:
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 .
By the end of the course, the students should be able to:
1.
Evaluate Limits of functions using various techniques including L’Hopital’s Rule
2.
Discuss the continuity 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
10.
Solve problems involving applications of integrals including finding volume of solids of revolution and area between curves.
2

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 including Autograph.

The lecture will be posted on the e-learning tool Blackboard, so pay you attention to the class and try to understand everything.

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 Autograph 3.2 and 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
EVALUATION POLICY
This course will be assessed by exams, project, quizzes:
Assessment Type
First Exam
Second Exam
Final Exam
Quizzes
MatLab Project
Sum
Day
Saturday
Saturday
Sunday
Date
23-March 2013
4-May 2013
26-May 2013
Time
14:00-16:00
14:00-16:00
14:00-16:00
Class time
Weight
22.5 %
22.5 %
40 %
10 %
5 %
100%
Grades will be assigned based on the following scale:
Percent grade 90 -100 85 - 89 80 - 84 75 -79 70 – 74 65 - 69 60 - 64 below 60
Letter grade A
Earned Points 4.0
B+
3.5
B
3.0
C+
2.5
C
2.0
D+
1.5
D
1.0
F
0.0
INSTRUCTIONS & REGULATIONS
3

1.
Using Mobile phones during lectures or exams is prohibited. Shut off your cell phone during class, any one uses mobile will be asked to leave the lecture room.
2.
Students are expected to attend all classes, if they do not show up for more than 25% of the classes, they fail the course. There are no grades for attendance.
3.
Quizzes have no make-ups, so try not to miss any.
4.
Students are expected to participate actively in the class.
5.
Check your e-mail regularly.
6.
Be responsible for all class activities, announcements, and assignments when you miss a class.
7.
Do not hesitate to see me if you have any question.
8.
Prior to class, look over the section that will be covered.
9.
Regularly check the BLACKBOARD site at: http://mybb.qu.edu.qa/
.






Limits and Continuity:
The limit. One-sided limits. Limit theorems. Vertical and horizontal asymptotes.
Continuity. Continuity of trigonometric functions. The intermediate-value theorem. The extreme-value theorem.
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.
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.
Integration:
Antiderivatives. Indefinite and definite integrals. The fundamental theorem of Calculus.
Properties. Integral formulas. Average value. Integration by substitution.
Inverse Functions: Review of the inverse functions, continuity and differentiability of the inverse.
Integration and differentiation of logarithmic and exponential functions.
L’Hopital’s Rule.
Applications of the Integral: Area between two curves. Volumes by slicing. Volumes by cylindrical shells
4

Week
1
2
3
Date
Feb. 10- Feb. 14
Feb. 17- Feb. 21
Feb. 24 - Feb. 28
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
Limits at Infinity: Horizontal Asymptotes
Continuity
Derivatives and Rates of Change
The Derivative as a Function
4
5
6
7
8
9
10
11
12
13
14
Mar.03- Mar.07
Mar. 10 - Mar. 14
2.3
2.4
2.5
2.6
2.8
Differentiation Formulas
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Mar. 17 - Mar. 21 Related Rates
First Exam; Saturday Mar.16, 14:00 16:00
Mar. 24 - Mar .28
Midterm Break
Apr.07 - Apr.11
Apr.14 - Apr.18
Apr. 21- Apr. 25
3.1
3.2
3.3
3.4
3.5
3.7
3.9+4.4
4.1
Maximum and Minimum Values
The Mean Value Theorem
Midterm Break
How Derivatives Affect the Shape of a Graph
Limits at Infinity: Horizontal Asymptotes
Summary of Curve Sketching
Optimization Problems
Antiderivatives & Indefinite Integrals
Areas and Distances
Apr. 28- May. 02 4.2+4.3
4.5
The Fundamental Theorem of Calculus with Properties of Definite Integrals.
The Substitution Rule
Second Exam; Saturday Apr. 27, 14:00 16:00
May. 05- May.09
6.1
6.2
May.12 - May.16
6.3
6.4
6.8
Inverse Functions.
Exponential Functions and their Derivatives
Logarithmic Functions
Derivatives of Logarithmic Functions
Indeterminate forms and L’Hopital’s Rule
May. 19- May.23
5.1
5.2
5.3
Areas between Curves
Volumes
Volumes by Cylindrical Shells
Final Exam:
5

Recommended Problems in the Textbook, to be attempted by the students
LIST OF SELECTED PROBLEMS
1.5: 4, 5, 7, 8, 9, 11, 15-18, 29, 30-33, 36, 37
1.6: 1-32, 37-49 odd, 51, 57-63 odd
1.8: 3-9 odd, 11, 13, 17-21 odd, 25- 31 odd, 35-53 odd, (55, 56) part (a) only, 65, 67
2.1: 5-38, 53, 54
2.2: 1-11 odd, 19-29, 35-38 odd, 41-43 odd, 49-53 odd
2.3: 1-43 odd, 51- 65, 67-85, 93-105 odd
2.4: 1- 24, 25-33 odd, 39-48, 54-55
2.5: 1-57 odd, 59-75 odd, 79, 88, 89
2.6: 1-31 odd, 43, 44, 46, 49-52 odd, 59, 60
2.8: 1-19 odd, 25, 27, 33, 45
3.1: 3-39 odd, 45 – 57 odd.
3.2: 1-3, 5,7,8, 9-16, 23, 25
3.3: 1, 5-37 odd, 53.
3.4: 2, 3, 4, 9-29 odd, 33, 35, 41- 55 odd
3.5: 1-31 odd
3.7: 3-9 odd, 13-39 odd,
3.9: 1-17 odd, 21 – 47 odd, 51-55 odd
4.1: 5, 19-23 odd, 24
4.2: 3, 9, 11, 21-29 odd, 33-39 odd, 47, 49
4.3: 3-37 odd, 49, 51, 59,
4.4: 1-41 odd, 55, 57
4.5: 1-51 odd
5.1: 1-13 odd, 18, 22, 25, 32,
5.2: 1-18 odd, 31-34 odd , 41, 47- 61
5.3: 1-25 odd, 37-43 odd
6.1: 1-43 odd
6.2: 9, 12, 13, 15, 16, 17, 23-30, 31-50 odd, 52, 54, 58, 69, 79-90
6.3: 1-17 odd, 23-35 odd, 47-50, 53, 54,
6.4: 3-33 odd, 43-54, 55, 71-82
6.8: 1-4 odd, 7-66 odd
6

7