Course Title: Introduction to Linear Algebra

Course Code: MAT-125

Section No: 7&8
Semester: Summer 2020
INSTRUCTOR & DEPARTMENT INFORMATION

Instructor's Name: Mohammad Mahmud Hasan

Office Room: SAC 1156
Office Hours: By appointment
Office Phone: (+880) 255668200 ; Ext- 6391

Email Address: mohammad.hasan02@northsouth.edu

Department: Mathematics and Physics
Links:

Text Book : Elementary Linear Algebra By Howerd Anton ( 10/11 th Edition)

supplementary : Introduction to Linear Algebra By Gilbert Strang (Third Edition )

Marks Distribution:
Grading Policy:
Marks
name
(%)
Attendance and
10%
performance
Assignments 15%
Quizzes 15%
Mid-Term 30%
Final Exam 30%
Total 100%

Credit: 3 credit points

Final Exam (Comprehensive)
Numerical Scores Letter Grade Grade Points
93 & above A Excellent 4.0
90 - 92 A- 3.7
87 – 89 B+ 3.3
83 – 86 B 3.0
80 – 82 B- 2.7
77 – 79 C+ 2.3
73- 76 C 2.0
70 – 72 C- 1.7
67 - 69 D+ 1.3
60 - 66 D 1.0
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 Classroom Rules of Conduct

1. Electronic devices e.g. cell phone, laptop, notepad, iPad, iPod, mp3, etc. are strictly prohibited in the
class.

2. It is imperative that the students maintain absolute discipline in class. Students are expected to arrive on
time in the class.

3. Academic Integrity Policy: Department of Mathematics and Physics does not tolerate academic dishonesty
by its students. At minimum, students must not be involved in cheating, copyright infringement, submitting
the same work in multiple courses, significant collaboration with other individuals outside of sanctioned
group activities, and fabrications.

Students are advised that violations of the Student Integrity Code will be treated seriously, with special attention
given to repeated offences.

Please Refer to NSU Student Handbook, Sections: “Disciplinary Actions” and “Procedures and Guidelines”.
EXAMS & MAKE UP POLICY
Four quizzes will be taken (best Three out of Four will be considered). NO makeup for quizzes or
midterms will be taken under any circumstances. If a student misses any of the Midterm exams due to
the circumstances beyond their control (official valid documents are required) and informed beforehand (if
possible), reasonable arrangement may be considered. There will be no extra question in the Midterm and
Final exams, so that students should have to answer all the questions given in the exam script.
Cell phones are prohibited in exam sessions.

ATTENDANCE POLICY
Students are required and expected to attend all classes regularly and on time and participate in class
discussions. North South University mandates to fail students who are absent 25% or more from their classes,
even if such absences are excusable. It is the responsibility of the student to become aware of other course-
related announcements missed during an absence.
Please Refer to NSU Student Handbook, Section: “Study Principles and Policies”

COMMUNICATION POLICY
All communications should take place using the instructor’s email. Announcements in class will override any
statement made here or in any other handouts. It is the student’s responsibility to be aware of any
announcements made in classes.

APPROPRIATE USE POLICY

All members of the North South University community must use electronic communications in a responsible
manner. The University may restrict the use of its computers and network systems for electronic communications
subject to violations of university policies/codes or local laws or national laws. Also, the university reserves the
right to limit access to its networks through university-owned or other computers, and to remove or limit access
to material posted on university-owned computers.

STUDENTS WITH SPECIAL NEEDS

North South University will provide educational opportunities that ensure fair, appropriate and reasonable
accommodation to students who have disabilities/special needs that may affect their ability to participate in
course activities or meet course requirements. Students with disabilities are encouraged to contact their
instructors to ensure that their needs are met. The University through its Special Need section will exert all
efforts to accommodate special needs.

Special Needs Section

Telephones: +88-02-5566 8200 ext-1220
th
Location: Room # 413/A, Admin Building (4 floor).

Please Refer to NSU Student Handbook, Section: “Special Needs Services”

STUDENTS COMPLAINTS POLICY

Students at North South University have the right to pursue complaints related to faculty, staff, and other
students. The nature of the complaints may be either academic or non-academic. For more information about
the policy and processes related to this policy, you may refer to the students’ handbook.

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Marks distribution for attendance:

Number of class 0-12 13 14 15 16 17 18 19 20 21 22 23-24

Marks 0 0.8 1.6 2.2 2.7 3.2 3.6 4 4.3 4.6 4.8 5

Suggested reading by the students:

Chapter 3: Vectors in 2-Space and 3-Space: Introduction to Vectors, Norm of a Vector; Vector
Arithmetic, Dot Product; Projections, Lines and Planes in 3-Space
Chapter 6: Inner Product Spaces: Inner Products, Angle and Orthogonality in Inner Products,
Orthonormal Bases; Gram-Schmidt Process, Orthogonal Matrices; Change of Basis.

Note: The instructor reserves the right to make changes to the syllabus if necessary.
Course Objectives:
1. Understanding of the basic concepts of system of linear equations, matrix algebra, vector spaces, eigenvalues and eigenvectors,
orthogonality and diagonalization.
2. Use formula, mathematical methods, algebra, geometry, graphs and solve problems of system of linear equations, matrix algebra,
vector spaces, eigenvalues and eigenvectors, orthogonality and diagonalization.
3. To demonstrate understanding of linear algebra perceptions solve applications problems (Linear Programming or others).
Course Outcomes:
Sl. # Course Outcomes (CO)
Bloom’s taxonomy Delivery methods Assessment

domain/level and activities tools

(C: Cognitive

P: Psychomotor

A: Affective)

CO-1 Understand and learn the basic concepts of

computational techniques of solving system of Lecture, Quiz,
linear equations, matrix algebra, vector spaces, Notes Assignment
eigenvalues and eigenvectors, orthogonality and
C1, C2
diagonalization.

CO-2 Apply the concept, techniques, visualizations, Lecture, in- Midterms, Final,
geometric properties etc. to solve problems class group Assignment,
related to Linear Algebra. discussion Class participation
C3

CO-3 Interpret, analyze, formulate mathematical Lecture, in-

models to solve applications involving Linear class group Final,
Programming problems. discussion
C3, C4 Assignment,

Class participation

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 Contents

System of Linear Equations and Matrices

--------------------------------------------------------------------------------------------------
 Introduction to System of Linear Equations
 Gaussian Eliminations
 Matrices and Matrix Operations
 Inverse; Rules of Matrix Arithmetic
 Elementary Matrices and a Method for Finding inverse of Matrix
 Further Results on Systems of Equations and Invertibility
 Diagonal, Triangular and Symmetric Matrices
Determinants:
-------------------------------------------------------------------------------------------------
 Determinant by Cofactor Expansion
 Evaluating Determinants by Row Reduction
 Properties of Determinant Function

Euclidean Vector Spaces:

---------------------------------------------------------------------------------------------------------
 Euclidean n-space
 Linear Transformation from Rn to Rm
 Properties of Linear Transformations

General Vector Spaces

-------------------------------------------------------------------------------------------------------
 Real Vector Spaces
 Subspaces
 Linear Independence and Dependence
 Basis, Dimension, Solution Space and Null Space
 Row Space, Column Space and Null Space
 Rank and Nullity

Eigenvalues and Eigenvectors

----------------------------------------------------------------------------------------------------------
 Eigenvalues and Eigenvectors
 Diagonalization

Applications of Linear Algebra

---------------------------------------------------------------------------------------------------------
 Electric Circuits
 Linear Programming
 Graph Theory
 Network problems
 Markov Chain
 Instructor can add more

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Suggest only for reading: (Out of lectures)

Chapter 3: Vectors in 2-Space and 3-Space

------------------------------------------------------------------------------------------------------
 Introduction to Vectors
 Norm of a Vector; Vector Arithmetic
 Dot Product; Projections
 Lines and Planes in 3-Space
Chapter 6: Inner Product Spaces
--------------------------------------------------------------------------------------------------------------
 Inner Products
 Angle and Orthogonality in Inner Products
 Orthonormal Bases; Gram-Schmidt Process
 Orthogonal Matrices; Change of Basis