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Numerical methods
L2
These online notes have been prepared for second-year students in Electrical
Engineering/Automation studying numerical methods. Numerical methods play a
pivotal role in engineering and applied sciences, where exact solutions are
often unattainable, making approximations essential for solving real-world
problems.
These notes focus on providing a concise guide to the fundamental topics in numerical methods. Each chapter breaks down the concepts into clear, step-by-step explanations, supported by examples to ensure both the theoretical and computational techniques are fully integrated. By the end of this course, students will be able to:
- Understand key numerical methods.
- Apply techniques for approximate solutions.
- Implement methods for roots, interpolation, and integration.
- Solve ODEs and linear systems.- Improve problem-solving with numerical methods.
These notes focus on providing a concise guide to the fundamental topics in numerical methods. Each chapter breaks down the concepts into clear, step-by-step explanations, supported by examples to ensure both the theoretical and computational techniques are fully integrated. By the end of this course, students will be able to:
- Understand key numerical methods.
- Apply techniques for approximate solutions.
- Implement methods for roots, interpolation, and integration.
- Solve ODEs and linear systems.- Improve problem-solving with numerical methods.