Course Description
Matrices and systems of linear equations. Vector spaces and subspaces. Linear independence. Basis and dimension. Inner product spaces. The Gram-Schmidt process. Linear transformations. Determinants. Diagonalization. Real quadratic forms.
Course Objectives & Outcomes
Objectives:
- Equip the student with necessary knowledge and skills to enable him to solve systems of linear equations.
- Develop skills in determining the nature of spaces: vector spaces.
- Enable the student to identify linear independence, basis and dimension.
- Develop skills in applying the Gram-Schmidt method.
- Enable the student to diagonalize matrices.
Outcomes: Upon successful completion of this course, the student will be able to:
- Identify matrices and operations on matrices.
- Solve linear equations.
- Identify vectors spaces and vectors subspaces.
- Define determinants and methods of its calculation.
- Discuss inner product and the Gram-Schmidt method.
- Describe diagonalization matrix methods.
- Identify notion of the real quadratic forms.
References
1. STRANG, G. (2009) Introduction to Linear Algebra,4TH-EDITION, WELLESLEY, MA: WELLESLEY-CAMBRIDGE PRESS, ISBN: 9780980232714.
2. Lay, D.C. (2011) Linear Algebra AND ITS Applications, 4TH-EDITION, PEARSON,ISBN 10: 0321385179 - ISBN 13: 9780321385178.
3. المساعد في الجبر الخطي الدكتورة نورة الصالح – جامعة الدمام.
Course ID: MATH 303
Credit hours | Theory | Practical | Laboratory | Lecture | Studio | Contact hours | Pre-requisite | 4 | 4 | 4 | MATH 202 |
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