1. MATH-260
Term: 092
Dr. Faisal Fairag

2. Instructor:
Dr. Faisal Abdul-Karim Fairag د. فيصل عبد الكريم فيرق
Office
5-432
Phone:
Home page:
Math-260 Homepage :
Introduce
yourself
Your Name
Your Major

3. Write your name in Arabic

4. Differential Equation
What is it ?
An equation containing derivatives is said to be a differential equation (DE)
Examples
Dr. Faisal fairag

5. Linear Algebra What is it ? Matrices Vector spaces Examples
Dr. Faisal fairag

6. Where it appear

7. Mechanical Eng.
Where it appear
Dr. Faisal fairag

8. Chemical Eng.
Where it appear
Dr. Faisal fairag

9. Electrical Eng.
Where it appear
Dr. Faisal fairag

10. Civil Eng.
Where it appear
Dr. Faisal fairag

11. Heat Transfer
Where it appear
Dr. Faisal fairag

12. Civil Eng.
Where it appear
Dr. Faisal fairag

13. Where it appear
Dr. Faisal fairag

14. Applications of Linear Algebra
Image Processing
Data Compression
Cryptography
Graph Theory
Genetics
Numerical Analysis
Applications of Linear Algebra
Least Square approximation
Trafic Flow
Electrical Circuits
Genetics
Economic Model

15. Section Topic Section Topic
3.1
Introduction to Linear Systems
Part I: Linear Algebra
3.2
Matrices and Gaussian Elimination
3.3
Reduced Row-Echelon Matrices
3.4
Matrix Operations
3.5
Inverse of Matrices
3.6
Determinants
4.1
The Vector Space R3
4.2
The Vector Space Rn & Subspaces
4.3
Linear Combination & Independence of Vectors
4.4
Bases & Dimension for Vector Spaces
4.5
Row and Column Spaces
6.1
Introduction to Eigenvalues
Exam -1 (Sund Mar 28) 6pm B54 ( )
6.2
Diagonalization of Matrices
6.3
Applications involving Powers of Matrices
7.5
Jordan form (pp )
1.1
Differential Equations and Mathematical Models
PartII: Differential Equations
1.2
Integrals as General & Particular Solutions (page: 10-11)
Midterm
Midterm Vacation
1.4
Separable Equations & Applications
1.5
Linear First-Order Equations
Exam -2 (Sund May 2) 6pm B54 ( )
1.6
Substitution Methods & Exact Equations
2.4
Euler's Method
5.1
Second-Order Linear Equations
5.2
General Solutions of Linear Equations
5.3
Homogeneous Equations with Constant Coefficients
5.5
Method of Undetermined Coefficients
7.1
First-Order Systems & Applications
7.2
Matrices & Linear Systems
7.3
The Eigenvalue Method for Linear Systems
Multiple Eigenvalue Solutions
Multiple Eigenvalue Solutions (contd.)
Section
Topic
3.1
Introduction to Linear Systems
Part I: Linear Algebra
3.2
Matrices and Gaussian Elimination
3.3
Reduced Row-Echelon Matrices
3.4
Matrix Operations
3.5
Inverse of Matrices
3.6
Determinants
4.1
The Vector Space R3
4.2
The Vector Space Rn & Subspaces
4.3
Linear Combination & Independence of Vectors
4.4
Bases & Dimension for Vector Spaces
4.5
Row and Column Spaces
6.1
Introduction to Eigenvalues
Exam -1 (Sund Mar 28) 6pm B54 ( )
6.2
Diagonalization of Matrices
6.3
Applications involving Powers of Matrices
7.5
Jordan form (pp )
1.1
Differential Equations and Mathematical Models
PartII: Differential Equations
1.2
Integrals as General & Particular Solutions (page: 10-11)
Midterm
Midterm Vacation
1.4
Separable Equations & Applications
1.5
Linear First-Order Equations
Exam -2 (Sund May 2) 6pm B54 ( )
1.6
Substitution Methods & Exact Equations
2.4
Euler's Method
5.1
Second-Order Linear Equations
5.2
General Solutions of Linear Equations
5.3
Homogeneous Equations with Constant Coefficients
5.5
Method of Undetermined Coefficients
7.1
First-Order Systems & Applications
7.2
Matrices & Linear Systems
7.3
The Eigenvalue Method for Linear Systems
Multiple Eigenvalue Solutions
Multiple Eigenvalue Solutions (contd.)

16. Computational Flavor:
250 computer generated graphics (MATLAB)
Over 30 Computing Projects
Numerical emphasis
Problem Projects and website (here)
Student Solutions Manual

17. Read & Read:
Pencil & Paper:
Dr. Faisal fairag

18. How to read an example:
Dr. Faisal fairag

19. Proposed Grading Policy
Hw 60
Quizes : 170
Attendance: 20
Exam1 : 200
Exam2 : 200
Final : 350
Total = 1000
* DN grade: Immediately after 9 unexcused absences.
*-5 for each unexcused absence
* -2 for each unsubmitted homework.
* Homework are due Monday
*Important Note: No makeup exam ( see the date and time in the syllabus )
*Final exam is comprehensive.
Dr. Faisal fairag

20. Form
Group
Dr. Faisal fairag

21. Expectations من غشنا فليس منا
Absent and late are indications of lazy student
Show me that you are working hard
Dr. Faisal fairag

22. Dr. Faisal fairag