Identification
Prerequisites
Language
Compulsory/Elective
Description
Required textbooks
and course materials
Course website
Course outline
Subject
Department
Applied Linear Algebra
Mathematics
Undergraduate
Program
Fall 2015
Term
Instructor
Taher Chegini
tchegini@khazar.org
E-mail:
+994 51 455 7411
Phone:
Classroom/hours
Tuesday and Thursday 2:00 PM – 4:00 PM
Office hours
MATH102
English
Compulsory
The course is an introduction to matrix theory and linear algebra and its
applications in different engineering fields, such as Matrices in Engineering,
Graphs and Networks, Markov Matrices, Linear Programming, Fourier Series,
Matrices in Statistics and Probability and Computer Graphics. In this course
MATLAB is used for implementing the introduced concepts in solution of
various engineering problems.
Strang, Gilbert. Introduction to Linear Algebra. 4th ed., Wellesley
Publication, 2003.
Poole, D., Linear algebra: a modern introduction. 4th Edition, 2014.
Vectors in n-space, systems of linear equations, Gaussian elimination, matrix
algebra, determinants, subspaces of n-space, basis and dimension, eigenvalues
and eigenvectors, diagonalization of a matrix, geometry of vectors,
projections, orthogonal sets of vectors, symmetric matrices
Course objectives
Upon successfully completing this course students will be able to:
 Formulate and solve multi-variable systems of linear equations;
 Matrices classification and computations;
 Describing fundamental facts in vector spaces;
 Calculation of eigenvectors and eigenvalues;
 Implementing the mentioned concepts in engineering problems.
Learning outcomes
o
o
o
o
o
o
o
Teaching methods
Lecture
Experiential exercise
Assisted work
Assisted lab work
Others
Methods
Midterm Exam
Class Participation
Quizzes (3-5) and
Homework (7)
Evaluation
Solving square systems by elimination
Complete solution of system of linear equation
Least squares solutions
Orthogonalization
Calculations of determinants
Calculation of Eigenvalues and eigenvectors
Symmetric matrices and positive definite matrices
o Applications of linear algebra in engineering
x
x
x
Date/deadlines
Percentage (%)
30
10
25
Lab Exercises
Project (3 phases)
Final Exam
Total
Policy
35
100
• NO CELL PHONES are allowed during lecture and lab sessions.
PLEASE turn them off before lecture! (Not silent or vibrating
mode). This is a university policy and violators will be reprimanded
accordingly.
• No late assignments will be accepted without prior arrangement with
the instructor for acceptable excuses. Medical and family emergency
will be considered on case-by-case basis.
• No late homework will be accepted. Homework is to be completed
on an individual basis. Students may discuss homework with
classmates, but students are responsible for your own work. If
students have consulted classmates, please note the individuals name
on the top of students’ assignment.
• Quizzes may be given unannounced throughout the term and will
count as one homework. There will be no make-up quizzes.
• No make-up exams. If students miss an exam, a zero score will be
assigned to the missed exam.
• If students should miss class due to personal emergency or medical
reasons, please notify the instructor by email immediately. A
doctor’s note will be required for make-up work.
• Students are responsible for completing the reading assigned from
the textbook related to the covered topics and for checking email
regularly for important information and announcements related to
the course.
• University policy on academic honesty concerning exams and
individual work will be strictly enforced.
• BE ON TIME!
Date/Day
Week
Topics
Textbook/Assignments
(Tentative)
1
Introduction to vectors, matrices and the
geometry of linear equations
1.1-2.1- 2.2-2.3
Matrix operations and factorization
2.4-2.5- 2.6-2.7
2
No Lecture
3
No Lecture
4
No Lecture
5
Vector spaces, subspaces and nullspace:
3.1 to 3.4
Row reduced echelon form and Basis and
dimension
3.5
7
The four fundamental subspaces, Graphs
and networks + Midterm
3.6-8.2
8
Least squares approximations
4.3-4.4
Properties of determinants and its
formulas and applications
5.1 to 5.3
10
Eigenvalues and eigenvectors and
Diagonalization
6.1-6.2
11
Markov matrices and Differential
equations
8.3-6.3
12
Symmetric matrices and Positive definite
matrices
6.4-6.5
13
Matrices in engineering
8.1-8.5
Applications of MATLAB in applied
linear Algebra
Lab
6
9
14
15
Final Exam
This syllabus is a guide for the course and any modifications to it will be announced in advance.