The University of Jordan
COURSE Syllabus
Calculus 1
The University of Jordan
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Course title
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Credit hours (theory, practical)
Contact hours (theory, practical)
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Prerequisites
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Program title
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Program code
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Awarding institution
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Faculty
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Department
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Level of course
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Year of study and semester (s)
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Final Qualification
Other department (s) involved in
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Date of production/revision
Course Syllabus
Calculus 1
5401101
3 Hours
3 Hours
None
Bachelor in Computer Information Systems
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The University Of Jordan
Faculty of Systems And Information Technology
CIS Department
Year 1
First Semester 2015/2016
Bachelor
----English
27/9/2015
Ahmed Atallah Alsarairah
Office number : (324) ,
Office Hours
: Sun 9-10 , Mon 11 -12 , Tues 11-12
E-mail
: a.alsarairah@ju.edu.jo
Phone
: 0232090450 - ( 35067 )
Course Description:
Functions ( exponential and logarithmic ) and limits , continuity of trigonometric , exponential
and inverse function ,derivative of function , Application of derivative ( increasing , decreasing
and concavity ) , integral and application of derivative.
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The University of Jordan
Course Syllabus
Course aims and outcomes:
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General Objectives : Understand the concepts underlying the theory of calculus
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Special Objectives: Understand the special concepts and application of derivative and
integral
After completing this course, students should have developed a clear understanding of the
fundamental concepts of single variable calculus and a range of skills allowing them to work
effectively with the concepts.
The basic concepts are:
1. Derivatives as rates of change, computed as a limit of ratios
2. Integrals as a "sum," computed as a limit of Riemann sums
After completing this course, students should demonstrate competency in the following skills:
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Use both the limit definition and rules of differentiation to differentiate functions.
Sketch the graph of a function using asymptotes, critical points, the derivative test for
increasing/decreasing functions, and concavity.
Apply differentiation to solve applied max/min problems.
Apply differentiation to solve related rates problems.
Evaluate integrals both by using Riemann sums and by using the Fundamental Theorem
of Calculus.
Course Contents
Unit One : BEFORE CALCULUS ( One week )
0.1 - Functions
0.5 - Exponential and logarithmic functions
Textbook:
Calculus Early Transcendentals 9th edition by Howard Anton, lrl C. Bivens and Stephen Dvis.
Unit Two : LIMITS AND CONTINUITY ( Two weeks )
1.1 - Limits
1.2 - Computing limits
1.3 - Limits at infinity , End behavior of a function
1.5 - continuity
1.6 - Continuity of trigonometry, Exponential and inverse functions
Textbook:
Calculus Early Transcendentals 9th edition by Howard Anton, lrl C. Bivens and Stephen Dvis.
Unit Three : THE DERIVATIVE ( Six weeks )
2.1- Tangent lines and of change
2.2 - Derivative function
2.3 - Techniques of Differentiation
2.4 - Product and Quotient Rules
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The University of Jordan
Course Syllabus
2.5 - Derivatives of trigonometric functions
2.6 - The chain Rule
Textbook:
Calculus Early Transcendentals 9th edition by Howard Anton, lrl C. Bivens and Stephen Dvis.
Unit Four : TOPICS IN DIFFERENTIATION ( Two weeks )
3.1 - Implicit Differentiation
3.2 - Derivatives of logarithmic functions
3.3 - Derivatives of exponential and inverse trigonometric functions
Textbook:
Calculus Early Transcendentals 9th edition by Howard Anton, lrl C. Bivens and Stephen Dvis.
Unit Five : INTEGRATION ( Two weeks )
5.2 - Indefinite Integral
5.3 - Integration by substitution
5.5 - Definite Integral
5.6 - Fundamental theorem of calculus
5.9 - Definite integrals by substitution
Textbook:
Calculus Early Transcendentals 9th edition by Howard Anton, lrl C. Bivens and Stephen Dvis.
Unit Six: THE DERIVATIVE INGRAPHING ANDAPPLICATIONS ( Two
weeks )
4.1- Analysis of function s:increase,decrease,concavity
4.2 - Analysis of functions II :Relative Extrema
4.4 - Absolute Maxima and minima
Textbook:
Calculus Early Transcendentals 9th edition by Howard Anton, lrl C. Bivens and Stephen Dvis.
Teaching Methods and Assignments:
Home works, Quizzes , participations and assignments
Evaluation Methods and Course Requirements:
Students will be based assessed on the following:
Date
Weight
Class Activities
(Quizzes and H.W)
During the semester
20%
Mid- Exam
17/11/2015 - Tuesday
30%
Final Exam
To be assigned by the registrar
office
50%
Exam
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The University of Jordan
Course Syllabus
Course Policies:
Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read
and fully understand the University of Jordan Attendance Policy. This policy will be strictly enforced.
Homework is an essential component of the course. It will be assigned at the end of every class and
will be collected weekly. I will go over the solution of some, but not all of these at the beginning of
the next class. If you have a lot of questions on the homework come to office hours.
: ‫تنبيه‬
‫ له يكون هناك امتحان تعويضي اال في حالة وجود عذر و حالة طارئة مه المستشفى و‬Mid Term ‫في حال التغيب عه امتحان ال‬
،‫ و للمدرس الحق في قبول او رفض العذر‬,‫على الطالب ابزاس العذر لمدرس المادة في فتزة ال تتجاوس الثالثة ايام مه تاريخ االمتحان‬
.‫و حسب التعليمات‬
Textbook and Supporting Materials
Textbook:
Calculus Early Transcendentals 9th edition by Howard Anton, lrl C. Bivens and Stephen Dvis.
− Dennis Zill and Warren S. Wright, Calculus: Early Transcendentals, 4th Edition, Jones and Bartlett
Publishers 2011. Call number in PU library: not available.
− Maurice D. Weir, Joel Hass, George B. Thomas, THOMAS’ CALCULUS EARLY TRANSCENDENTALS , 12 Edition,
Addison−Wesley 2010. Call number in PU library: 515 THO.
− James Stewart, Calculus: Early Transcendentals, 7th Edition, Brooks/ Cole 2012. Call number in PU library:
515.15 STE
Name of Course Coordinator: -------------------Signature: ------------------------- Date: ------------------------Head of curriculum committee/Department: ------------------------- Signature: --------------------------------Head of Department: ------------------------- Signature: --------------------------------Head of curriculum committee/Faculty: ------------------------- Signature: --------------------------------Dean: ------------------------------------------- -Signature: --------------------------------Copy to:
Head of Department
Assistant Dean for Quality Assurance
Course File
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