Calculus Video

• Textbook: Salas, Hille, Etgen: Calculus - One and Several Variables, John Wiley & Sons, Tenth edition, 2007.
• These videos were made during the pandemic era. 僅作學習用途。

上學期影片 (made in 2021 Fall) 第二到第四章都是在講微分的部分，第五六兩章是積分的部分

• 2.1, 2.2 part1, part2
• 2.3, 2.4 part1, part2
• 2.5, 2.6 part1, part2
• 3.1, 3.2 part1, part2
• 3.3, 3.4, 3.5, 3.6 part1, part2
• 3.7, review part1, part2, part3
• 4.1, 4.2 part1, part2
• 4.3, 4.6, 4.4 part1, part2
• 4.7, 4.8 part1, part2
• 4.5, 4.9, 4.10 part1, part2, part3
• 5.1, 5.2, 5.3 part1, part2
• 5.4, 5.5, 5.6 in-person classes started
• 6.2,6.3 reviewThis one was recorded even earlier

下學期影片(made in 2022 Spring) 第十六是多變數函數的微分，第十七章是多變數函數的積分

• 16.8, 16.1 video
• 16.2 part 1, part 2, part 3, part 4
• 16.3, 16.4 part 1, part 2
• 16.4, 16.5 recording of the classes part 1, part 2
• 16.5 part 1, part 2
• 16.6, 16.7 part 1, part 2, part 3
• 17.2 video
• 17.3 part 1, part 2
• 17.4 part 1, part 2, part 3
• 17.6, 17.7, 17.10 part 1, part 2
• 17.10, 17.8, 17.9 part 1, part 2 part 3
• More examples for Chapter 17, 16.9 part 1, part 2
• 有同學對課本16.2章的習題第39題有疑問，可以看這影片解釋 習題39)
• 一般型的Stokes Theorem在低微度的表現，如fundamental theorem of Line intergral, Green's theorem, divergence theorem都是 Stokes Theorem

額外影片(made in 2023 Winter Break) 線積分，面積分等等

• 18.1,18.2 Part1
• 18.5 Part2
• 18.6 Part3
• 18.7 Part4
• 18.9 以及部分 18.8 Part5

額外影片 (made in 2024 Winter Break) 以極座標表示曲線

• 10.2, 10.3, 10.4 Part 1 , Part 2

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Last Updated: June 6, 2024
URL: http://www.math.nthu.edu.tw/~nankuo/calculusvideo.html