微積分
[ 習題 ]
Homework List (revised on June 16, 2020)
[ 習題簡答 ]
Chapter 2 HW SOL (revised on October 2, 2019)
Chapter 3 HW SOL (revised on October 18, 2019)
Chapter 4 HW SOL (revised on November 14, 2019)
Chapter 5 HW SOL (revised on January 1, 2020)
Chapter 6 HW SOL (revised on December 18, 2019)
Chapter 7 HW SOL (revised on December 25, 2019)
Chapter 8 HW SOL (revised on January 1, 2020)
Chapter 9 HW SOL (revised on January 1, 2020)
Chapter 11 HW SOL (revised on March 19, 2020)
Chapter 12 HW SOL (revised on April 3, 2020)
[ 參考書目 ]
Calculus: One and Several Variables, 10th Edition, Salas, Hille and Etgen
Homework List (revised on June 16, 2020)
[ 習題簡答 ]
Chapter 2 HW SOL (revised on October 2, 2019)
Chapter 3 HW SOL (revised on October 18, 2019)
Chapter 4 HW SOL (revised on November 14, 2019)
Chapter 5 HW SOL (revised on January 1, 2020)
Chapter 6 HW SOL (revised on December 18, 2019)
Chapter 7 HW SOL (revised on December 25, 2019)
Chapter 8 HW SOL (revised on January 1, 2020)
Chapter 9 HW SOL (revised on January 1, 2020)
Chapter 11 HW SOL (revised on March 19, 2020)
Chapter 12 HW SOL (revised on April 3, 2020)
Chapter 13 HW SOL (revised on April 9, 2020)
Chapter 14 HW SOL (revised on April 9, 2020)
Chapter 15 HW SOL (revised on May 2, 2020)
Chapter 16 HW SOL (revised on May 21, 2020)
Chapter 15 HW SOL (revised on May 2, 2020)
Chapter 16 HW SOL (revised on May 21, 2020)
Chapter 17 HW SOL (revised on June 16, 2020 / 新增§17.10 )
Exercise 4 (revised on June 13, 2020)
[ 各單元補充講義 ]
Chapter 1 Precalculus Review
Chapter 2 Limits and Continuity
Chapter 3 The Derivative; The Process of Differentiation
[ 各單元補充講義 ]
Chapter 1 Precalculus Review
Chapter 2 Limits and Continuity
Chapter 3 The Derivative; The Process of Differentiation
Chapter 4 The Mean Value Theorem; Applications of the First and Second Derivatives
Chapter 5 Integration
Chapter 6 Some Applications of the Integral
Chapter 7 The Transcendental Functions
Chapter 8 Techniques of Integration
Chapter 9 Some Differential Equations
Chapter 11 Sequences; Indeterminate Forms; Improper Integrals
Chapter 13 Vectors in Three-Dimensional Space
Chapter 5 Integration
Chapter 6 Some Applications of the Integral
Chapter 7 The Transcendental Functions
Chapter 8 Techniques of Integration
Chapter 9 Some Differential Equations
Chapter 11 Sequences; Indeterminate Forms; Improper Integrals
- Convergence Implies Boundedness
- Arithmetic and Geometric Means Sequences
- Arithmetic and Geometric Means Sequences 講解影片
- Stolz-Cesàro Theorem (羅必達法則的離散版本)
Chapter 13 Vectors in Three-Dimensional Space
Chapter 14 Vector Calculus
Chapter 15 Functions of Several Variables
Chapter 16 Gradients; Extreme Values; Differentials
Chapter 16 Gradients; Extreme Values; Differentials
Chapter 17 Double and Triple Integrals
[ 參考書目 ]
Calculus: One and Several Variables, 10th Edition, Salas, Hille and Etgen
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