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所在平台: Udemy |
课程主页: https://www.udemy.com/course/engineering-mathematics/
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课程名称：工程数学 - 数值分析与更多 课程概述：本课程专注于工程数学，学习完毕后，学员将能够理解数值分析技术的基本优势知识。课程包括额外的讲座，介绍一系列强大的数值方法和近似技术，这些方法对于解决复杂的工程问题是至关重要的。通过理论理解与实践应用的结合，学员将获得分析、建模和解决在各个工程领域中遇到的数学问题所需的技能。 课程重点：本课程主要聚焦四种关键的数值方法： 1. 牛顿-拉夫森法：推导、收敛分析及实现。 2. 割线法：优点、收敛性及其在求解非线性方程中的应用。 3. 二分法：算法、收敛性及根求解应用。 4. 数值积分技术：梯形法则和辛普森法则、误差分析及实践实现。 工程应用：解决涉及非线性方程和定积分的工程问题。 课程结束时，学生将对数值方法和近似技术有深入了解，能够自信地将这些工具应用于解决复杂的工程问题。此外，学员还将获得实施这些方法的宝贵经验，提高他们的问题解决和批判性思维能力。 注意：由于课程年代较久，音频和视频质量可能不符合现代制作标准。我们请学生理解这些方面的局限性，并专注于课程所提供的有价值内容和知识。
This course is focused on engineering mathematics. After completing the tutorial, you will be able to understand the basic advantageous knowledge of numerical analysis techniques. Certain bonus lectures are also included. This course introduces students to a range of powerful numerical methods and approximation techniques that are essential for solving complex engineering problems. Through a combination of theoretical understanding and practical application, students will gain the necessary skills to analyze, model, and solve mathematical problems encountered in various engineering disciplines. The course focuses on four key numerical methods: Newton-Raphson method, Secant method, Bisection method, and numerical integration techniques such as Trapezoidal rule and Simpson's rule.Course Topics:Introduction to Numerical Methods: Importance and applications in engineering.Newton-Raphson Method: Derivation, convergence analysis, and implementation.Secant Method: Advantages, convergence, and application in solving nonlinear equations.Bisection Method: Algorithm, convergence, and root-finding applications.Numerical Integration Techniques: Trapezoidal rule and Simpson's rule, error analysis, and practical implementation.Applications in Engineering: Solving engineering problems involving nonlinear equations and definite integrals.By the end of this course, students will have developed a strong understanding of numerical methods and approximation techniques, enabling them to confidently apply these tools to solve complex engineering problems. They will also have gained valuable experience in implementing these methods using computational tools, enhancing their problem-solving and critical thinking skills.Note: The audio and video quality of this course may not meet the standards of modern production due to its age. However, we kindly request students to bear with any limitations in these aspects and focus on the valuable content and knowledge that this course has to offer.
