Differential Calculus (Math 105)
Sameh Saadeldin Ahmed
Associate Professor of Environmental Eng.
Civil Engineering Department
Almajma’a Eng. College
KSU
smohamed1@ksu.edu.sa
http://faculty.ksu.edu.sa/76165/default.aspx
2010
Math 105
Dr SaMeH
1
Course Objectives
•
To introduce the student to basic
concepts of differential calculus.
•
To introduce the functions and
analysis of graphical information.
• To teach the students the
following concepts:
how
to
compute limits, some
important
rules in derivative, and
techniques of differentiation.
Math 105
Dr SaMeH
2
Student's duties
1.Students are required to
lectures and tutorials in
base.
attend
regular
2.Students are asked to revise in
advance the contents of the course.
3.Participating in the discussions and
solving the exercises is a must for
all the students. Consulting the
course teacher at any time during
the office hours.
Math 105
Dr SaMeH
3
Contents (week by week)
Week
1st
week
Math 105
Subject
Content
Real
•Natural, Integer,
Numbers and Rational, Irrational and,
Inequalities Real numbers
•Inequalities
Dr SaMeH
4
Contents (week by week)
Week
2nd
week
3rd
week
Math 105
Subject
Sets and
Functions
Content
•Sets
•Operations on sets
•Functions
•Types of Functions
Dr SaMeH
5
Contents (week by week)
Week
4th
week
5th
week
Math 105
Subject
Limits and
Continuity
Content
•Limits
•Some limits theories
•Continuity
Dr SaMeH
6
Contents (week by week)
Week
6th
week
Math 105
Subject
Content
Derivatives •First Derivative
•Some laws to find 1st
derivative
•The derivative of
composite function
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7
1st mid term exam
• The exam will take place one day
between (20 and 23/11/1430).
• A note will be send to remind the
students one week in advance.
•Total marks for this exam is : 15 marks
Math 105
Dr SaMeH
8
Contents (week by week)
Week
8th
week
Math 105
Subject
Content
Derivatives •Chain rule
•The first derivative of
power function
•Implicit derivatives
•Higher-order
derivatives
Dr SaMeH
9
Contents (week by week)
Week
9th
week
10th
week
Math 105
Subject
Content
•Rolle's theorem &
Applications Mean value theorem
of
•Increase and decrease
Derivatives •Extreme values
•Critical points
Dr SaMeH
10
Contents (week by week)
Week
11th
week
Math 105
Subject
Concavity
Content
•Concavity and Second
Derivative
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11
2nd mid term exam
• The exam will take place on
28/12/1430
• A note will be send to remind the
students one week in advance.
•Total marks for this exam is : 15 marks
Math 105
Dr SaMeH
12
Contents (week by week)
Week
13th
week
Math 105
Subject
Asymptotes
Content
•Horizontal and vertical
asymptotes
Dr SaMeH
13
Contents (week by week)
Week
14th
week
Math 105
Subject
Conic
sections
Content
•Conic sections
Dr SaMeH
14
Grading Policy
Grading
Component
Marks
Mid Exam (1)
Mid Exam (2)
Assignments,
HWs, and Quizzes
Final exam
20%
20%
20%
40%
Total
100%
Exam Date
To be announced
To be announced
‫‪Textbook and References‬‬
‫‪Textbook:‬‬
‫‪Anton, Bivens and Davis. Calculus, 7th edition,‬‬
‫‪John Wily & Sons, Inc., New York, 2002.‬‬
‫‪References:‬‬
‫‪" .1‬التعامل مع التفاضل والتكامل" – الجزء األول ‪ -‬تأليف‪ :‬د‪ .‬مجدي أمين كتبي و د‪.‬‬
‫مروان أمين كتبي‪1998 ،‬‬
‫‪" .2‬التفاضل والتكامل" – الجزء األول ‪ -‬الطبعة الثالثة ‪ -‬تأليف‪ :‬د‪ .‬رمضان محمد‬
‫جهيمة و د‪ .‬أحمد عبدالعالي هب الريح ‪.2001‬‬
‫‪" .3‬المتميز في التفاضل والتكامل" – الجزء األول ‪ -‬تأليف‪ :‬د‪ .‬حمزة بن علي أبوجبل‬
‫و د‪ .‬محمد بن علي الغامدي‪.‬‬
‫‪16‬‬
‫‪Dr SaMeH‬‬
‫‪Math 105‬‬