10.2 Calculus with Parametric Curves

WeekCourse ContentCourse Video
莊重老師真心告白Watch Online
課程介紹Watch Online
第一章 Functions and Models
1.5 Exponential Functions
1.6 Inverse Functions and Logarithms
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第二章 Limits and derivatives
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
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2.4 The Precise Definition of a LimitWatch Online
2.5 ContinuityWatch Online
2.6 Limits at Infinity, Horizontal AsymptotesWatch Online
2.7 Derivatives and Rates of Change
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2.8 The Derivative as a FunctionWatch Online
第三章 Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions
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3.2 The Product and Quotient RulesWatch Online
3.3 Derivatives of Trigonometric FunctionsWatch Online
3.4 The Chain Rule
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3.5 Implicit DifferentiationWatch Online
3.6 Derivatives of Logarithmic FunctionsWatch Online
3.9 Related RatesWatch Online
3.10 Linear Approximations and DifferentialsWatch Online
第四章 Applications of Differentiation
4.1 Maximum and Minimum Values
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4.2 The Mean Value TheoremWatch Online
4.3 How Derivatives Affect the Shape of a Graph
4.5 Summary of Curve Sketching
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4.4 Indeterminate Forms and L’Hospital’s RuleWatch Online
4.7 Optimization ProblemsWatch Online
4.9 AntiderivativesWatch Online
第五章 Integrals
5.1 Areas and Distances
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5.2 The Definite IntegralWatch Online
5.3 The Fundamental Theorem of CalculusWatch Online
5.4 Indefinite Integrals and the Net Change TheoremWatch Online
5.5 The Substitution RuleWatch Online
第六章 Applications of Integration
6.1 Areas between Curves
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6.2 Volumes
6.3 Volumes by Cylindrical Shells
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6.5 Average Value of a FunctionWatch Online
第七章 Techniques of Integration
7.1 Integration by Parts
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7.2 Trigonometric IntegralsWatch Online
7.3 Trigonometric SubstitutionWatch Online
7.4 Integration of Rational Functions by Partial FractionsWatch Online
7.7 Approximate IntegrationWatch Online
7.8 Improper IntegralsWatch Online
第八章 Further Applications of Integration
8.1 Arc Length
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8.2 Area of a Surface of RevolutionWatch Online
8.5 ProbabilityWatch Online
第十章 Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
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10.2 Calculus with Parametric CurvesWatch Online