MATH-260 Term: 092 Dr. Faisal Fairag

Instructor: Dr. Faisal Abdul-Karim Fairag د. فيصل عبد الكريم فيرق Office 5-432 Phone: 860-4463 e-mail: ffairag@kfupm.edu.sa Home page: http://faculty.kfupm.edu.sa/math/ffairag Math-260 Homepage : http://faculty.kfupm.edu.sa/math/ffairag/math260_092 Introduce yourself Your Name Your Major

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

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

Where it appear

Mechanical Eng. Where it appear Dr. Faisal fairag

Chemical Eng. Where it appear Dr. Faisal fairag

Electrical Eng. Where it appear Dr. Faisal fairag

Civil Eng. Where it appear Dr. Faisal fairag

Heat Transfer Where it appear Dr. Faisal fairag

Civil Eng. Where it appear Dr. Faisal fairag

Where it appear Dr. Faisal fairag

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

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 ( 3.1 - 4.5 ) 6.2 Diagonalization of Matrices 6.3 Applications involving Powers of Matrices 7.5 Jordan form (pp 454-457) 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 ( 6.1 - 1.5 ) 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 ( 3.1 - 4.5 ) 6.2 Diagonalization of Matrices 6.3 Applications involving Powers of Matrices 7.5 Jordan form (pp 454-457) 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 ( 6.1 - 1.5 ) 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.)

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

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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

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

Dr. Faisal fairag