CoursePlan_23947_32.docx

(1)

Zarqa University Instructor: Dr Abdullah Tamraz

Faculty of Science Lecture’s time: 8-9:30 M W

Department: Mathematics Semester: First

Course title: Theory of Matrices Course Number: 0301442

Office Hours: 11-12 S T Th 10-11 M W Course description:

Review of elementary Linear algebra, spectral decomposition, Jordan canonical forms, quadratic forms, definiteness, norms, condition numbers, Least squares

problem, orthogonal factorization .

Aims of the course:

1. Review of Vector Spaces and Subspaces

2. Understanding the importance of Eigenvalues and Eigenvectors 3. Understanding the importance of Diagonalization

4. How to deal with Nondiagonalizable Matrices.

Intended Learning Outcomes: (ILOs)

A.

Knowledge and Understanding A1. Concepts and Theories:

New theorems and methods

A2. Contemporary Trends, Problems and Research:

New developments and approaches A3. Professional Responsibility:

Applying suitable techniques to solve problems that appear in different fields

B.

Subject-specific skills B1. Problem solving skills:

Developing and improving students skills B2. Modeling and Design:

Examples and problems

B3. Application of Methods and Tools:

Examples and problems using available software

C.

Critical-Thinking Skills C1.Analytic skills: Assess Analyzing the given problem C2.Strategic Thinking:

Selecting the best approach to solve the problem C3. Creative thinking and innovation:

Developing and tailoring special methods for a given class of problems

D.

General and Transferable Skills (other skills relevant to employability and personal development) D1.Communication:

Discussions and answering the students questions D2.Teamwork and Leadership:

Allowing the students to form groups to work on selected projects

:رادإصلا خيرات 24

ناريزح 2015 :رادإصلا 01

ZU/QP07F018

(2)

Course structures:

Week

Credi t Hours

ILOs Topics Teaching

Procedure Assessment methods

1 A, B,

C,and D Vector Spaces.

Subspaces of Vector Spaces

Lecture and discussions

Questions and answers

2 Spanning Sets and Linear

Independence

3 Bases and Dimension

4 Rank of a Matrix

5 Inner Product Spaces

6 Mathematical Models and

Least Squares Problem

7 Eigenvalues and

eigenvectors

8 Diagonalization

9 Symmetric Matrices and

Orthogonal Diagonalization

10 Complex Numbers

Complex Vector Spaces and Inner Products

11 Unitary Matrices

12 Hermitian Matrices

Normal Matrice

13 Jordan Canonical Form

14 Jordan Canonical Form

(cont.)

References:

A.

Main Textbook: Elementary Linear Algebra by Larson and Falvo, Sixth ed., 2009

B.

Supplementary Textbook(s): Applied Linear Algebra By Noble and Daniel, third ed.