Linear Algebra 1
Course Title: Linear Algebra (1)

Instructor: Dr. Bashir
AlHdaibat

Course Number: 110101241

Instructor’s Office: IT 148

Prerequisite(s): None

Instructor’s Phone: N/A

Designation: Compulsory

Instructor’s Email: b.alhdaibat@hu.edu.jo

Credit Hours: 3

Office Hours: N/A

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 R^{n} to R^{m}
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:
Activities

Percentage

Quizzes

30%

Midterm Exam

30%

Final exam

40%

Exams: There will be one onehour 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 10min quizzes are scheduled; see below.
Quiz

Date

Covering
Section

1

16/7/2020

1.1

1.2

1.3

1.4

2

23/7/2020

1.5

1.6

1.7

3

30/7/2020

2.1

2.2

2.3

4

6/8/2020

5.1

5.2

5.3

5.4

5

13/8/2020

5.5

5.6

6.1

6.2

6

20/8/2020

6.3

6.5

6.6

Syllabus: I plan to cover roughly the first
8 chapters in Anton's book. List of Topics:
Section

Topic

Week

1.1

Introduction to System of Linear
Equations

1

1.2

Gaussian Elimination

1.3

Matrices and Matrix Operations

1.4

Inverses, Rules of Matrix
Arithmetic

1.5

Elementary Matrices and a method
for finding A^{1}

2

1.6

Further results on Systems of
Equations and Invertibility

1.7

Diagonal, Triangular, and
Symmetric Matrices

2.1

Determinants by Cofactor
Expansion

3

2.2

Evaluation Determinants by Row
Reduction

2.3

Properties of Determinant
Function

5.1

Real Vector Spaces

4

5.2

Subspaces

5.3

Linear Independence

5.4

Basis and Dimension

5.5

Row space, Column space, and
Null space

5

5.6

Rank and Nullity

6.1

Inner Products

6.2

Angle and Orthogonality in Inner
Product Spaces

6.3

Orthogonal Bases; GramSchmidt
Process; QRDecomposition

6

6.5

Change of Bases

6.6

Orthogonal Matrices

7.1

Eigenvalues and Eigenvectors

7

7.2

Diagonalization

7.3

Orthogonal Diagonalizations

8.1

General Linear Transformations

8.2

Kernel and Range

8

8.3

Inverse Linear Transformations

8.4

Matrices of General Linear
Transformations

8.5

Similarity

Final Grade:
The Final Grade will be determined by the following scale (*)
1 test:

30%

6 quizzes:

5% each

Final exam:

30%

Final course grade:

100%

Percentage

Grade

Grade
point value


>

94

A

+

4.00

90

–

94

A


3.75

85

–

89

A



3.50

80

–

84

B

+

3.25

75

–

79

B


3.00

70

–

74

B



2.75

66

–

69

C

+

2.50

62

–

65

C


2.25

58

–

61

C



2.00

54

–

57

D

+

1.75

50

–

53

D


1.50


<

50

F


0.00

(*) We may adjust the scale to be more lenient, depending
on the performance of the class.
