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Calculus 3
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Course Title: Calculus (3)
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Instructor: Dr. Bashir
Al-Hdaibat
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Course Number: 110101201
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Instructor’s Office: IT 148
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Prerequisite(s): Calculus (2)
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Instructor’s Phone: N/A
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Designation: Compulsory
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Instructor’s Email: b.alhdaibat@hu.edu.jo
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Credit Hours: 3
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Office Hours: N/A
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Course summary: Covers coordinate systems in three dimensions, analytic geometry of
lines and planes, vector valued functions, functions of several variables,
derivatives such as partial derivatives, gradients and directional
derivatives, optimization problems of real valued functions of several
variables, definite integrals to functions of two and three variables and
Lagrange multipliers.
Text: Calculus Early Transcendentals,
by James Stewart, 7th Edition
Grading: Your grade is based on 3 components:
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Activities
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Percentage
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First Exam
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30%
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Second Exam
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30%
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Final exam
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40%
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Exams: There will be two one-hour exams and a final exam. The use
of calculators or notes is not permitted during the exams.
Syllabus: I plan to cover roughly the
chapters 12, 13, 14 and 15 in Stewart's book.
List of Topics:
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Section
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Topic
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12.1
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Three-Dimensional Coordinate
System
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12.2
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Vectors
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12.3
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The Dot Product
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12.4
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The Cross Product
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12.5
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Equations of Lines and Planes
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12.6
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Cylinders and Quadric Surfaces
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13.1
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Vector Functions and Space Curves
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13.2
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Derivatives and Integrals of
Vector Functions
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13.3
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Arc Length and Curvature
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14.1
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Functions of Several Variables
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14.2
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Limits and Continuity
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14.3
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Partial Derivatives
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14.5
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The Chain
Rule
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14.6
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Directional
Derivatives
and the Gradient Vector
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14.7
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Maximum
and Minimum Values
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15.1
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Double Integrals over
rectangles
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15.2
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Iterated Integrals
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15.3
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Double Integrals over General
Regions
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15.4
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Double Integrals in Polar
Coordinates
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15.7
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Triple Integrals
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15.8
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Triple Integrals in Cylindrical Coordinates
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15.9
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Triple Integrals in Spherical
Coordinates
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Final Grade:
The Final Grade will be determined by the following scale (*)
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2 tests:
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30% + 30%
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Final exam:
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40%
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Final course grade:
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100%
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Percentage
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Grade
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Grade
point value
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>
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94
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A
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+
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4.00
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90
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–
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94
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A
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3.75
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85
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–
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89
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A
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-
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3.50
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80
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–
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84
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B
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+
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3.25
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75
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–
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79
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B
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3.00
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70
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–
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74
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B
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-
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2.75
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66
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–
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69
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C
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+
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2.50
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62
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–
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65
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C
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2.25
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58
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–
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61
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C
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-
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2.00
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54
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–
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57
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D
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+
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1.75
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50
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–
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53
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D
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1.50
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<
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50
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F
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0.00
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(*) We may adjust the scale to be more lenient, depending
on the performance of the class.
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