# Linear Algebra

• College Of Computing & Information Technology |

#### Description

This course provides an introduction to numerical methods and their applications to solve science and engineering problems. In addition, convergence and error analysis of numerical methods is covered. In addition, practical experience with implementing numerical methods and assessing resulting errors will be acquired through a number of programming assignments.

#### Program

Software Engineering bachelor`s degree Program

#### Objectives

• - Understand numerical methods and errors of computers.
- Analyze errors and error propagation.
- Compute roots of equations of one variable Solve a system of Linear equations.
- Apply numerical differentiation.
- Apply numerical integration, Use interpolation.
- Use regression.

#### Textbook

Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers with Software and Programming Applications, McGraw Hill.

#### Course Content

content serial Description
1Matrices Definition - Addition -Scalar multiplication - Matrices with special properties.
2Matrix multiplication - Matrix transpose - Determinants.
3Matrix inverse.
4Systems of linear equations Linear equations - Reduced Row Echelon Form and Row Operations - Matrix Rank.
5Rank and systems of linear equations - The Homogeneous Case.
6Systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness.
7Criteria for Consistency and Uniqueness.
8Vector Spaces Vector Algebra definition-addition-multiplication by scalar-dot product-cross product.
10Definitions of vector space and Basic Concepts - Subspaces part 2.
11Definitions of vector space and Basic Concepts - Subspaces part 3.
12Introduction to Linear Transformations.
13Linear Transformations Mappings - General Properties of Linear Transformations.
14Eigenvalues and Eigen.
15Diagonalization.
1Matrices Definition - Addition -Scalar multiplication - Matrices with special properties.
2Matrix multiplication - Matrix transpose - Determinants.
3Matrix inverse.
4Systems of linear equations Linear equations - Reduced Row Echelon Form and Row Operations - Matrix Rank.
5Rank and systems of linear equations - The Homogeneous Case.
6Systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness.
7Criteria for Consistency and Uniqueness.
8Vector Spaces Vector Algebra definition-addition-multiplication by scalar-dot product-cross product.
10Definitions of vector space and Basic Concepts - Subspaces part 2.
11Definitions of vector space and Basic Concepts - Subspaces part 3.
12Introduction to Linear Transformations.
13Linear Transformations Mappings - General Properties of Linear Transformations.
14Eigenvalues and Eigen.
15Diagonalization.

#### Markets and Career

• Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
• Electrical power feeding for civil and military marine and aviation utilities.
• Electrical works in construction engineering.