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微積分1 (30)
1.1 The Limit - Video-2021.08.30
1.2 Limit Laws-video-2021.09.03
1.3 The Squeeze Theorem-video-2021.09.07
1.4 The Precise Definition of a Limit
1.5 Continuity
1.6 The Intermediate Value Theorem
1.7 Limits at infinity
1.8 Derivatives
1.10 The Derivative as a Function
2.1 Derivatives of Polynomials
2.2 The Product Rule
2.2-1 The Product Rule
2.2-2 The Quotient Rule
2.3 Derivatives of Trigonometric Functions
2.4-1 The Chain Rule (1)
2.4-2 The Power Rule Combined with the Chain Rule (1)
2.5 Implicit Differentiation
2.6 Derivatives of Exponential Functions
2.7 Derivatives of Logarithmic Functions
2.8 Linear Approximations and Differentials
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3.1 Maxima and Minima
3.2 The Mean Value Theorem
3.3 Derivatives and the Shape of a Graph
3.4 L’Hospital’s Rule
3.5 Optimization Problems
3.6 Newton’s Method
3.7 Antiderivatives
4.1 The Definite Integral
4.2 The Fundamental Theorem of Calculus
4.3 The Substitution Rule
微積分2 (30)
3.13 Differentiation and Integration of Power Series
3.12 Representations of Functions as Power Series
3.11-2 Power Series (Part 2)
3.11-1 Power Series (Part 1)
3.10-2 The Ratio and Root Test (Part 2)
3.10-1 The Ratio and Root Test (Part 1)
3.9 Alternating Series
3.8 The Comparison Test
3.7 Estimating the Sum of a Series
3.6 The Integral Test
3.5 The Test for Divergence
3.4 Introduction to Series
3.3 Squeeze Theorem for Sequences
3.2 Limits of Sequences
3.1 Introduction to Sequences
2.7-2 Improper Integration (Type 2)
2.7-1 Improper Integration (Type 1)
2.6 Approximate Integration
2.5 Rationalizing Substitutions
2.4-3 Integration of Rational Functions by Partial Fractions Case III-IV
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2.4-2 Integration of Rational Functions by Partial Fractions Case II
2.4-1 Integration of Rational Functions by Partial Fractions Case I
2.3 Trigonometric Substitution
2.1-2 Integration by Parts (Practice Problems)
2.1-1 Integration by Parts
1.4 Areas between Curves
1.3-2 Substitution Rule (Practice Problems II)
1.3-1 Substitution Rule (Practice Problems l)
1.2 Indefinite Integrals
1.1 Areas and Distances
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