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新工科背景下的线性代数教学改革探索
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Abstract:
本文对新工科背景下线性代数教学改革进行了初步探索，强调了线性代数教学需要与实际应用紧密结合，与各专业跨学科交叉融合，引入计算机技术以及多元化的教学模式。我们以线性代数中矩阵的奇异值分解在图像压缩算法中的应用作为一个教学案例，展示了这种教学改革思想的一个具体实践。
This paper makes a preliminary exploration of linear algebra teaching reform under the back-ground of “Emerging Engineering Education”, emphasizing the close combination of linear algebra teaching and practical application, interdisciplinary integration with various majors, and the introduction of computer technology and diversified teaching modes. Specifically, we take the application of singular value decomposition of matrixes in image compression as a teaching case to demonstrate the practice of this teaching reform idea.
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| [2] | Aggarwal, C.C. (2020) Linear Al-gebra and Optimization for Machine Learning. Springer International Publishing, Cham. https://doi.org/10.1007/978-3-030-40344-7 |
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| [4] | Bose, T. and Meyer, F. (2003) Digital Signal and Image Processing. John Wiley & Sons, Inc., Hoboken. |
| [5] | Stewart, G.W. (1993) On the Early History of the Singular Value Decomposition. SIAM Review, 35, 551-566.
https://doi.org/10.1137/1035134 |
