To teach basic concepts of linear algebra for engineering students.
Prerequisite(s)
Corequisite(s)
Special Requisite(s)
Instructor(s)
Course Assistant(s)
Schedule
Office Hour(s)
Teaching Methods and Techniques
Principle Sources
Other Sources
Course Schedules
Week
Contents
Learning Methods
1. Week
Introduction to Matrix Algebra; Addition and Multiplication in Matrices
Oral presentation, practise
2. Week
Some Special Matrices; The Transpose of a Square Matrix; Applications
Oral presentation, practise
3. Week
Determinants and Properties; Laplace Expansion
Application of Determinants
Oral presentation, practise
4. Week
Application of Determinants
Oral presentation, practise
5. Week
The Rank of a Matrix and Equivalent Matrices; Adjoint Matrix; Inverse of a
Matrix
Oral presentation, practise
6. Week
Midterm I
7. Week
The Solution Methods of The Systems of Linear Equations
Oral presentation, practise
8. Week
Vectors
Oral presentation, practise
9. Week
Applications of Vectors
Oral presentation, practise
10. Week
Linear Dependence and Linear Independence
Oral presentation, practise
11. Week
Applications of Linear Dependence and Linear Independence
Oral presentation, practise
12. Week
Midterm II
13. Week
Eigenvalues and Eigenvectors of a Matrix; Cayley-Hamilton Theorem
Oral presentation, practise
14. Week
Singular value decomposition and applications
Oral presentation, practise
15. Week
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Homework / Term Projects / Presentations
2
0
Final Exam
1
60
Program Outcomes
PO-1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
PO-2
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO-3
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
PO-4
Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
PO-5
Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language.
PO-8
Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO-9
Awareness of professional and ethical responsibility.
PO-10
Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
PO-11
Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.
Learning Outcomes
LO-1
Recognize special type of matrices and perform the Matrix operations.
LO-2
Solve linear systems by Gauss-Jordan reduction.
LO-3
Find the transpose, inverse, rank and adjoint of a matrix.
LO-4
Calculate determinants using row operations, column operations, and cofactor expansion along any row ( or column).
LO-5
Solve linear systems by Cramer’s rule.
LO-6
Prove algebraic statements about vector addition, scalar multiplication, linear independence, spanning sets, subspaces, bases, and dimension.
LO-7
Calculate eigenvalues and their corresponding eigenvectors of a square matrix.
LO-8
Prove the properties of eigenvalues and eigenvectors.
LO-9
Determine if a matrix is diagonalizable, and if it is, diagonalize it.
