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Linear Algebra 1
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Course Title: Linear Algebra (1)
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Instructor: Dr. Bashir
Al-Hdaibat
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Course Number: 110101241
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Instructor’s Office: IT 148
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Prerequisite(s): None
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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:
This is a basic course on linear algebra: Systems of
linear equations; matrices and matrix operations; homogeneous and
nonhomogeneous systems; Gaussian elimination; elementary matrices and a
method for finding A-1; determinants; Euclidean vector
spaces; linear transformations from Rn to Rm
and their properties; general vector spaces; subspaces; basis; dimension; row
space; column space; null space
of a matrix; rank and nullity; inner product spaces; eigenvalues and
diagonalization; linear transformations.
Text: Elementary
Linear Algebra (9th ed.) by Howard Anton
Grading: Your grade is based on 3 components:
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Activities
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Percentage
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Quizzes
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30%
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Midterm 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 one one-hour exams and a final exam. The use
of calculators or notes is not permitted during the exams.
Quizzes: The
quizzes make up 30% of the course grade. Quizzes are assigned from the
required text. Six 10-min quizzes are scheduled; see below.
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Quiz
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Date
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Covering
Section
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1
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16/7/2020
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1.1
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1.2
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1.3
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1.4
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2
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23/7/2020
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1.5
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1.6
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1.7
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3
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30/7/2020
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2.1
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2.2
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2.3
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4
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6/8/2020
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5.1
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5.2
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5.3
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5.4
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5
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13/8/2020
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5.5
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5.6
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6.1
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6.2
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6
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20/8/2020
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6.3
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6.5
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6.6
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Syllabus: I plan to cover roughly the first
8 chapters in Anton's book. List of Topics:
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Section
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Topic
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Week
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1.1
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Introduction to System of Linear
Equations
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1
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1.2
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Gaussian Elimination
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1.3
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Matrices and Matrix Operations
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1.4
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Inverses, Rules of Matrix
Arithmetic
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1.5
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Elementary Matrices and a method
for finding A-1
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2
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1.6
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Further results on Systems of
Equations and Invertibility
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1.7
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Diagonal, Triangular, and
Symmetric Matrices
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2.1
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Determinants by Cofactor
Expansion
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3
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2.2
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Evaluation Determinants by Row
Reduction
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2.3
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Properties of Determinant
Function
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5.1
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Real Vector Spaces
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4
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5.2
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Subspaces
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5.3
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Linear Independence
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5.4
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Basis and Dimension
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5.5
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Row space, Column space, and
Null space
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5
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5.6
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Rank and Nullity
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6.1
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Inner Products
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6.2
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Angle and Orthogonality in Inner
Product Spaces
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6.3
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Orthogonal Bases; Gram-Schmidt
Process; QR-Decomposition
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6
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6.5
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Change of Bases
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6.6
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Orthogonal Matrices
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7.1
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Eigenvalues and Eigenvectors
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7
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7.2
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Diagonalization
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7.3
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Orthogonal Diagonalizations
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8.1
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General Linear Transformations
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8.2
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Kernel and Range
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8
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8.3
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Inverse Linear Transformations
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8.4
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Matrices of General Linear
Transformations
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8.5
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Similarity
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Final Grade:
The Final Grade will be determined by the following scale (*)
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1 test:
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30%
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6 quizzes:
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5% each
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Final exam:
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30%
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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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