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Course Details

Differential Equations – MATH 210

احد اهم المواد التي يعتمد عليها طلاب الهندسة في مسيرتهم الدراسية هي مادة المعادلات التفاضلية و التي تدرس في معظم جامعات العالم لطلاب الهندسة من الكتاب الشهير A First Course in Differential Equations with Modeling Applications للمؤلف Dennis Zill.

Course Content

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1 Chapter 1: Introduction to Differential Equations FREE
2 Topics
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1.1. Definitions and Terminology FREE
1.2. Initial-Value Problems
2 Chapter 2: First-Order Differential Equations
4 Topics
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2.2. Separable Equations
2.3. Linear Equations
2.4. Exact Equations
2.5. Solutions by Substitutions
3 Chapter 3: Applications
1 Topic
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3.1. Linear Models: Growth & Decay, Newton’s Law of Cooling, and Series Circuits
4 Chapter 4: Higher-Order Differential Equations
7 Topics
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4.1. Homogeneous Equations
4.2. Reduction of Order
4.3. Homogeneous Linear Equations with Constant Coefficients
4.4. Undetermined Coefficients—Superposition Approach
4.5. Undetermined Coefficients—Annihilator Approach
4.6. Variation of Parameters
4.7. Cauchy-Euler Equations
5 Chapter 5: Applications on Higher-Order Differential Equations
1 Topic
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5.1. Linear Models: Initial-Value Problems
6 Chapter 6: Series Solutions of Linear Equations
3 Topics
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6.1. Review of Power Series
6.2. Solutions About Ordinary Points
6.3. Solutions About Singular Points
7 Chapter 7: Laplace Transform
5 Topics
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7.1. Definition of the Laplace Transform
7.2. Inverse Transforms and Transforms of Derivatives
7.3. Operational Properties I
7.4. Operational Properties II 
7.5. Systems of Linear Differential Equations
8 Chapter 8: Systems of Linear First-Order Differential Equations
4 Topics
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8.1. Preliminary Theory‐Linear Systems
8.2. Homogeneous Linear Systems
8.3. Nonhomogeneous Linear Systems
8.4. Matrix Exponential

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