数值方法：原理，算法及应用-Numerical Methods: Principles, Algorithms and Applications
Course ID：
00136540
Credits：
3
Department：
数学科学学院
Introduction in Chinese：
在当今科技快速发展的时代背景下，数值方法已成为连接理论与实践的关键纽带，尤其在科学计算和人工智能领域展现出不可或缺的重要性。为了顺应新时代对复合型人才的需求，我们特别开设了这门旨在培养学生数值思维与计算能力的课程。
本课程的一大亮点在于其跨学科适用性。我们欢迎全校所有专业的学生加入，只要您具备高中数学基础，就能轻松跟上课程进度。无论您是对数值计算、数据分析感兴趣，还是希望探索人工智能的奥秘，这门课程都能满足您的需求。
为了让学生更好地掌握核心知识，我们采用了MATLAB/北太天元双平台教学。通过软件辅助学习，您将能够直观体会线性代数等数学基础知识，并深入了解Pagerank算法、层次分析法、函数拟合、数值积分、常微分方程求解以及机器学习方法等前沿内容。我们的教学方式注重短平快，先以简洁明了的方式讲解基础，然后迅速进入数值方法和算法的学习，确保您在有限的时间内收获满满。
此外，本课程还强调实践与应用并重。我们将通过大量的数值实验与案例分析，帮助您提高动手能力和实践应用能力。同时，我们引入了多元评价机制，综合评价您在数学建模、实验报告、课堂展示和短视频制作等多方面的表现，以全面反映您的学习成果。
本课程特别适合对数值计算和数据分析感兴趣、希望提升计算思维和解决问题能力、跨学科学习以及所有希望了解人工智能和科学计算的学生。只要您高中数学基础良好，对学习新知识和挑战自己充满热情，就欢迎加入我们的课程，共同探索数值方法的奥秘，提升自己的计算思维和实践能力！
Introduction in English：
In the context of rapid technological development today, numerical methods have become a crucial bridge connecting theory and practice, particularly exhibiting indispensable significance in the fields of scientific computing and artificial intelligence. To cater to the demand for compound talents in the new era, we have specifically designed this course aimed at cultivating students' numerical thinking and computational abilities.
One of the highlights of this course lies in its interdisciplinary applicability. We welcome students from all majors across the university to join. As long as you have a solid foundation in high school mathematics, you will be able to easily follow the course. Whether you are interested in numerical computation, data analysis, or wish to explore the mysteries of artificial intelligence, this course can meet your needs.
To enable students to better grasp the core knowledge, we adopt a dual-platform teaching approach using MATLAB and Baltamatica. Through software-assisted learning, you will be able to intuitively understand fundamental mathematical concepts such as linear algebra, and delve into advanced topics like the PageRank algorithm, Analytic Hierarchy Process (AHP), function fitting, numerical integration, solution of ordinary differential equations, and machine learning methods. Our teaching method emphasizes a concise and efficient approach: first, we explain the basics in a clear and straightforward manner, and then quickly proceed to the study of numerical methods and algorithms, ensuring that you gain a wealth of knowledge within a limited timeframe.
Furthermore, this course also emphasizes the integration of theory and practice. We will help you improve your practical skills and applied abilities through numerous numerical experiments and case studies. At the same time, we have introduced a multivariate evaluation mechanism to comprehensively assess your performance in various aspects such as mathematical modeling, experimental reports, classroom presentations, and short video productions, thereby fully reflecting your learning outcomes.
This course is particularly suitable for students interested in numerical computation and data analysis, those who hope to enhance their computational thinking and problem-solving abilities, those engaged in interdisciplinary learning, and all students who wish to understand artificial intelligence and scientific computing. As long as you have a good foundation in high school mathematics and are enthusiastic about learning new knowledge and challenging yourself, you are welcome to join our course. Together, let's explore the mysteries of numerical methods and enhance your computational thinking and practical abilities!
