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Lecture Notes And Videos

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Inverse Functions

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The Natural Logarithmic Function

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The Natural Exponential Function

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General Logarithmic and Exponential Functions

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Exponential Growth and decay

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Inverse Trigonometric Functions

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Indeterminate Forms

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Preview: Integration By Parts

Lecture Notes: Integration By Parts

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Preview Improper Integrals

Lecture Notes: Improper Integrals

From The Web

Video: Example1

Video: Example 2

Video: Example 3

Video: Example 4

Video: Example 5

Video: Example 6

Video: Example 7

Video: Example 8

 

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Preview: Sequences

lecture Notes: Sequences

From the web

Video: Sequences

Video: Sequences 1: Definition

Video: Sequence 2 Convergence and Divergence

Video: Sequence 3, corresponding Function

Video: Sequences 4, Alternating Sequences

Video: Sequences 5, Squeeze Theorem for sequences

Video, Sequences 6, exponentials

Video: Sequences Monotonic and bounded

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Lecture Notes: Series

From The Web

Video: Series

Video: Geometric series and divergence test Part 1

Video: Geometric Series and divergence test Part 2

Video: Test for divergence

Video: Telescoping series

Video: Telescoping series Example

Video: Summation

Video: Partial sums

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Lecture Notes: Integral Test for p-series and Comparison Test

From The Web

Video: Integral Test Basic Idea

Video: Integral test, why it works

Video Direct Comaprison Test/Limit comparison test basic Info.

Video Direct Comparison Test Example 1

Video Direct Comparison Test Example 2

Video Direct Comparison Test Example 3

Video Direct Comparison Test Example 4

Video Direct Comparison Test Example 5

Video Limit Comparison Test Example 1

Video Limit Comparison Test Example 2

Video Limit Comparison Test Example 3

Video Limit Comparison Test Example 4

Video Limit Comparison Test Example 5

Video Limit Comparison Test Example 6

Video Limit Comparison Test Example 7

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Lecture Notes: Alternating Series

From the Web

Video Alternating Series

Video Alternating Series Estimation Theorem

Video Alternating Series Example 1

Video Alternating series Example 2

Video Alternating Series Example 3

Video Alternating series Example 4

Video Alternating series Estimating error 1

Video Alternating Series Estimating Error 2

 

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Video Preview 1: Absolute Convergence

Video Preview 2: Ratio Test

Video Preview 3: nth root test

Lecture Notes: Ratio and Root test

 

Video Ratio Test Example 2

Video Ratio Test Example 3

Video Ratio Test Example 4

nth Root Test Example 2

nth Root Test Example 3

Old Exam Question 1

 

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Lecture Notes: Strategy For Series

Video Example 1 (old exam question)

Video Example 2 (old exam question)

Video Example 3 (old exam question)

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Lecture Notes: Power Series

From The Web

Interval of Convergence

Interval and Radius of Convergence Example

Interval and Radius of Convergence Example

Interval and Radius of Convergence Example

Interval and Radius of Convergence Example

Interval and Radius of Convergence Example

Interval and Radius of Convergence Example

Interval and Radius of Convergence Example

 

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Lecture Notes: Representing Functions as Power Series

From The Web

Substitution

Differentiating and Integrating Power Series

Integrating a Power Series

Finding Power series by differentiating(Examples)

Finding Power Series by Integration(Example)

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Lecture Notes: Taylor and McLaurin Series

From The Web

Taylor Series Expansion

McLaurin Series for Sin(x)

Taylor and McLaurin Series Example

Example: Taylor series for Ln(x) at a = 2

Estimating an integral with a Taylor Series

Using Taylor's Theorem about the remainder.

More Power Series From Known Power Series

Using Integration, substitution with the exponential power series

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Lecture Notess: Applications of Taylor series

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Preview Trigonometric Integrals

Trigonometric Integrals Essential Background and low powers

Lecture Notes: Trigonometric Integrals

Trigonometric Integrals Extra Examples

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Preview: Trigonometric Substitution

Lecture Notes: Trigonometric Substitution

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Preview: Partial Fractions

lecture Notes: Partial Fractions

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Previrew: Strategy For Integration

Lecture Notes: Strategy For Integration

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Preview: Approximating Integrals

Lecture Notes: Approximating Integrals

From The Web

Video Explanation

Video Example

 

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Preview: Arc Length

Lecture Notes: Arclength

From The Web

Video Arc Length Formula

Video Arc Length Example

Video Arc Length More Examples

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Preview: Direction Fields and Euler's method

Lecture Notes: Direction Fields and Euler's Method

From The Web

Video: Direction Fields

Video: Euler's Method Example

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Lecture Notes: Separable Equations

From The Web

Video Example

Video: Seperable EquationExample 1

Video: Seperable Equation Example 2

Video: Orthogonal Trajectories 1

Video: Orthogonal Trajectories 2

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Preview: First Order Linear Differential Equations

Lecture Notes: First order Linear Differential Equations

From The Web

Video: Examples

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Lecture Notes: Parametric Curves

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Lecture Notes: Calculus with parametric curves

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Lecture Notes: Polar CoOrdinates

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Lecture Notes: Areas and Lengths in Polar Co-ordinates

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