MATH260 Term 092 Dr Faisal Fairag Instructor Dr

MATH-260 Term: 092 Dr. Faisal Fairag

Instructor : Dr. Faisal Abdul-Karim Fairag ﻓﻴﺼﻞ ﻋﺒﺪ ﺍﻟﻜﺮﻳﻢ ﻓﻴﺮﻕ. ﺩ Office 5 -432 Phone: 860 -4463 Introduce yourself Your Name 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/math 260_092 Your Major

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

Linear Algebra What is it ? Matrices Ex am pl es Vector spaces Dr. Faisal fairag

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ap pe ar W he re it Heat Transfer Dr. Faisal fairag

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

Part I: Linear Algebra Part. II: Differential Equations Part I: Linear Algebra Differential Equations 3. 4 Matrix Operations 3. 5 Inverse of Matrices Section 3. 6 Topic Determinants 3. 1 4. 1 Introduction to Linear The Vector Space. Systems R 3 3. 2 4. 2 Matrices Gaussian The and Vector Space Elimination Rn & Subspaces 3. 3 4. 3 Reduced Row-Echelon Matrices Linear Combination & Independence of Vectors 3. 3 4. 4 Reduced Row-Echelon Matrices Bases & Dimension for Vector Spaces 3. 4 4. 5 Matrix Operations Row and Column Spaces 3. 5 6. 1 Inverse of Matrices Introduction to Eigenvalues 3. 6 Determinants Exam -1 (Sund Mar 28) 6 pm B 54 ( 3. 1 - 4. 5 ) 4. 1 6. 2 The Vector Space R 3 of Matrices Diagonalization n & Subspaces 4. 2 6. 3 The Vector Space R Applications involving Powers of Matrices 4. 3 7. 5 Linear. Jordan Combination & Independence of Vectors form (pp 454 -457) 4. 4 7. 5 Bases. Jordan & Dimension Vector Spaces form (ppfor 454 -457) 4. 5 1. 1 Row and Column. Equations Spaces and Mathematical Models Differential 6. 1 1. 2 Introduction to Eigenvalues Integrals as General & Particular Solutions (page: 10 -11) Exam -1 (Sund Mar 28) 6 pm B 54 ( 3. 1 - 4. 5 ) 6. 2 Midterm Diagonalization of Matrices Midterm Vacation Separable Equations & Applications 6. 3 1. 4 Applications involving Powers of Matrices 1. 5 Linear First-Order Equations 7. 5 Jordan form (pp 454 -457) Exam (Sund May 2) 6 pm B 54 ( 6. 1 - 1. 5 ) 7. 5 Jordan form-2(pp 454 -457) Substitution Methods & Exact Equations 1. 1 1. 6 Differential Equations and Mathematical Models 2. 4 Euler's Method 1. 2 Integrals as General & Particular Solutions (page: 10 -11) 5. 1 Second-Order Linear Equations Midterm 5. 2 Vacation General Solutions of. Midterm Linear Equations 1. 4 5. 3 Separable Equations & Applications Homogeneous with Constant Coefficients 1. 5 5. 5 Linear. Method First-Order Equations Coefficients of Undetermined -2 (Sund May 2) 6 pm B 54 ( 6. 1 - 1. 5 ) 7. 1 Exam. First-Order Systems & Applications 1. 6 7. 2 Substitution Methods & Systems Exact Equations Matrices & Linear 2. 4 7. 3 Euler's Method The Eigenvalue Method for Linear Systems 5. 1 7. 5 Second-Order Linear Equations Multiple Eigenvalue Solutions 5. 2 7. 5 General Solutions of Linear Equations Multiple Eigenvalue Solutions (contd. ) 5. 3 Homogeneous Equations with Constant Coefficients

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 Exam 1 : 200 Exam 2 : 200 Final : 350 Hw 60 Quizes : 170 Attendance: 20 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 Show me that you are working hard Absent and late are indications of lazy student ﻣﻦ ﻏﺸﻨﺎ ﻓﻠﻴﺲ ﻣﻨﺎ Dr. Faisal fairag

Dr. Faisal fairag