- Degree Bachelor
- Code: EBA2204
- Credit hrs: 3
- Prequisites: EBA1204
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.
Software Engineering bachelor`s degree Program
Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers with Software and Programming Applications, McGraw Hill.
| content serial | Description |
|---|---|
| 1 | Matrices Definition - Addition -Scalar multiplication - Matrices with special properties. |
| 2 | Matrix multiplication - Matrix transpose - Determinants. |
| 3 | Matrix inverse. |
| 4 | Systems of linear equations Linear equations - Reduced Row Echelon Form and Row Operations - Matrix Rank. |
| 5 | Rank and systems of linear equations - The Homogeneous Case. |
| 6 | Systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness. |
| 7 | Criteria for Consistency and Uniqueness. |
| 8 | Vector Spaces Vector Algebra definition-addition-multiplication by scalar-dot product-cross product. |
| 10 | Definitions of vector space and Basic Concepts - Subspaces part 2. |
| 11 | Definitions of vector space and Basic Concepts - Subspaces part 3. |
| 12 | Introduction to Linear Transformations. |
| 13 | Linear Transformations Mappings - General Properties of Linear Transformations. |
| 14 | Eigenvalues and Eigen. |
| 15 | Diagonalization. |
| 1 | Matrices Definition - Addition -Scalar multiplication - Matrices with special properties. |
| 2 | Matrix multiplication - Matrix transpose - Determinants. |
| 3 | Matrix inverse. |
| 4 | Systems of linear equations Linear equations - Reduced Row Echelon Form and Row Operations - Matrix Rank. |
| 5 | Rank and systems of linear equations - The Homogeneous Case. |
| 6 | Systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness. |
| 7 | Criteria for Consistency and Uniqueness. |
| 8 | Vector Spaces Vector Algebra definition-addition-multiplication by scalar-dot product-cross product. |
| 10 | Definitions of vector space and Basic Concepts - Subspaces part 2. |
| 11 | Definitions of vector space and Basic Concepts - Subspaces part 3. |
| 12 | Introduction to Linear Transformations. |
| 13 | Linear Transformations Mappings - General Properties of Linear Transformations. |
| 14 | Eigenvalues and Eigen. |
| 15 | Diagonalization. |
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