Identification
Subject
Applied linear Algebra
Department
Engineering
Program
Term
Fall, 2014
Instructor
Aslanova Nigar
E-mail
nigar.aslanova@yahoo.com
Phone
421-10-93
Classroom
Room 202N
Office hours
Wednesday 15:00-16:20, Friday 16:40-18:00
prerequisites
Consent of instructor
language
English
Compulsory/Elective
Required
Required textbooks and
course materials
Course website
1. Stanley I. Grossman. Multuvariable calculus, Linear Algebra , and
Differential equations, second edition,1986.
2. Frank Budnic. Calculus and linear Algebra, 1992
www.matrixanalysis.com
Course outline
The course concerns the study of simultaneous linear equations in alliance with
study of matrices and operations on them. It includes also study of vector spaces
, linear operators, application of elements linear algebra to linear programming
problems
Course objectives
The concept of the matrix and operations on them, also the concept of
determinant and its properties with an emphasis on applications on system of
linear equations are included. Solution methods for system of linear equations
and the concepts of eigenvalues and eigenvectors of matrices will be given. The
problem of linear programming and solutions methods such as simplex method
and corner point method will be stated.
Learning outcomes
By the end of the course the students should be able:
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Teaching methods
Perform operations on matrices
evaluate determinants
solve system of linear equations
find rank of matrix and apply it to existence problems of solutions
Find eigenvalues and eigen vectors of matrix
Find matrix representation of linear operators
Find transition matrix from one basis to another basis
Solve linear programming problems
lecture
Seminars
Group discussions
Evaluation
Policy
Methods
Percentage
Midterm exam
25
Class participation
10
Quizzes
25
Final exam
40
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Preparation for class
The structure of this courses makes your individual study and
preparation outside the class extremely important. The lecture material
will focus on the major points introduced in the text. Reading the
assigned chapters and having some familiarity with them will assist your
understanding of the lecture. After lecture , you should study your notes
and work relevant problems and cases from the end of the chapter and
sample exam questions.
Withdrawal (pass, fail)
This course strictly follows grading policy of the University. Thus, a
student is normally expected to achieve a mark of a least 60% to pass. In
case of failure he/she will be referred or required to repeat the course
the following term or year.
Cheating/ plagiarism
Cheating or other plagiarism during the Quizzes, Mid-term and Final
Examinations will be lead to paper cancellation. In this case, the
student will automatically get zero (0), without any considerations.
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Professional behavior guidelines
The students shall behave in the way to create favorable
academic and
professional environment during the class. Unauthorized discussions unethical
behaviors are strictly prohibited. For successful completion of the course, the
students should take an active part during the class time; ask questions and
involving other to discussions.
Tentative Schedule
Data\Time
Topics
Textbook
17.09.2014 Matrices, Addition of matrices, multiplication of a matrix by scalar, Matrix
products, Associative law for matrix multiplication, distributive law for matrix
19.09.2014 multiplication
[1]
24.09.2014 Determinants, minor, cofactor, expansion by cofactors, Properties of
determinants
26.09.2014
[1]
8.10.2014
[1]
The transpose of a matrix, Inverse matrix
10.10.2014
15.10.2014 Linear system of equations, homogeneous equations
[1]
17.10.2014
22.10.2014 Gaussian elimination method, Cramer’s rule
[1]
24.10.2014
29.10.2014 Subspaces, linear independence, linear combination, and span
[1]
31.10.2014
5.11.2014
Mid-term exam
[1]
7.11.2014
Basis and dimension
[1]
12.11.2014 the rank and nullity of a matrix
[1]
14.11.2014
19.11.2014 Eigenvalues and eigenvectors
21.11.2014
[1]
26.11.2014 Similar matrices and dioganalization
[1]
28.11.2014
3.12.2014
Linear inequalities, systems of linear inequalities
[1]
5.12.2014
10.12.2014 Linear programming problems
[1]
12.12.2014
17.12.2014 Simplex method
[1]
19.12.2014
24.12.2014 Corner point method
[1]
26.12.2014 Final exam
[1]