10-2 Calculus with Parametric Curves, 10-3 Polar Coordinates, 10-4 Areas and Lengths in Polar Coordinates

WeekCourse ContentCourse Video
Chapter1 Functions and Model
1-5 Exponential Functions
1-6 Inverse Functions and Logarithms
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Chapter2 Limits and Derivatives
2-2 The Limit of a Function
2-4 The Precise Definition of a Limit
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2-3 Calculating Limits Using the Limit Laws
2-6 Limits at Infinity: Horizontal Asymptotes
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2-5 Continuity
2-6 Limits at Infinity; Horizontal Asymptotes
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2-8 Derivatives
2-9 The Derivative as a Function
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Chapter3 Differentiation Rules
3-1 Derivatives of Polynomials and Exponential Functions
3-2 The Product and Quotient Rules
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3-4 Derivatives of Trigonometric Functions
3-5 The Chain Rule
3-6 Implicit Differentiation
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3-6 Implicit DifferentiationWatch Online
3-8 Derivatives of Logarithmic Functions
3-10 Related Rates
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3-7 Higher Derivatives
3-11 Linear Approximations and Differentials
Chapter4 Applications of Differation
4-1 Maximum and Minimum Values
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4-1 Maximum and Minimum ValuesWatch Online
4-2 The Mean Value Theorem
4-3 How Derivatives Affect the Shape of a Graph
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4-4 Indeterminate Forms a nd L’Hospital’s RuleWatch Online
4-7 Optimization ProblemsWatch Online
4-5 Summary of Curve Sketching
4-7 Optimization Problems
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4-7 Optimization Problems
4-10 Antiderivatives
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Chapter5 Integrals
5-1 Areas and Distances
5-2 The Definite Integral
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5-2 The Definite Integral
5-3 The Fundamental Theorem of Calculus
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5-4 Indefinite Integrals and the Total Change Theorem
5-5 The Substitution Rule
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5-5 The Substitution Rule
5-6 The Logarithm Defined as an Integral
Chapter6 Applications of Integration
6-1 Areas between Curves
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6-1 Areas between Curves
6-2 Volumes
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6-3 Volumes be Cylindrical Shells
Chapter7 Techniques of Integration
7-1 Integration by Parts
7-2 Trigonometric Integrals
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7-2 Trigonometric Integrals
7-3 Trigonometric Substitution
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7-4 Integration of Rational Functions by Partial Fractions
7-8 Improper Integrals
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7-8 Improper IntegralsWatch Online
7-7 Approximate Integration
Chapter8 Further Applications of Integration
8-1 Arc Length
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8-1 Arc Length
8-2 Area of a Surface of Revolution
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Chapter10 Parametric Equations and Polar Coordinates
10-1 Curves Defined by Parametric Equations
10-2 Calculus with Parametric Curves
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10-2 Calculus with Parametric Curves
10-3 Polar Coordinates
10-4 Areas and Lengths in Polar Coordinates
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10-3 Polar Coordinates
10-4 Areas and Lengths in Polar Coordinates
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