Series: Calculus I and II and III
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What is a Limit? Basic Idea of Limits -
Calculating a Limit by Multiplying by a Conjugate -
Calculating a Limit by Expanding and Simplifying -
Calculating a Limit by Factoring and Cancelling -
Find a Limit by Getting a Common Denominator -
Calculating a Limit Involving Absolute Value -
Limit of sin(x)/x as x Approaches Zero -
Squeeze Theorem for Limits -
Infinite Limits -
Find Horizontal Asymptotes of Rational Functions -
Limits at Infinity & Rational Function; Shortcuts -
Limits at Infinity with Radical in the Expression -
Basic Continuity Problems -
More Continuity Problems/Examples -
The Intermediate Value Theorem -
Continuity and Three Important Theorems -
Derivatives Using the Definition -
Sketching the Derivative of a Function -
Basic Derivative Examples -
Chain Rule: Basic Problems -
Chain Rule – Harder Ex 1 -
Chain Rule – Harder Ex 2 -
Chain Rule – Harder Ex 3 -
Product and Chain Rule to Find a Derivative -
Chain, Quotient Rule to Find Derivative & Simplify -
Derivative from Chain, Quotient Rule; Simplify 2 -
Derivatives - Complicated (Multi-Step) Examples -
Logarithmic Differentiation - Ex 1 -
Logarithmic Differentiation - Ex 2 -
Logarithmic Differentiation - Ex 3 -
Tons of Derivative Examples -
Implicit Differentiation to Find First Derivative -
Implicit Differentiation to Find Second Derivative -
Related Rates Involving Baseball -
Related Rates, Ex 1 -
Related Rates, Ex 2 -
Related Rates, UT example -
Related Rates Involving Cones - UT Problem -
UT Related Rates Problem, Ex 1 -
UT Related Rates Problem, Ex 2 -
UT Related Rates Problem, Ex 3 -
UT Related Rates Problem, Ex 4 -
UT Related Rates Problem, Ex 5 -
UT Related Rates Problem, Ex 6 -
Related Rates Involving Baseball -
UT Related Rates Problem 8 -
Find a Linear Approximation/Linearization -
Finding a Linear Approximation / Linearization -
Using Differentials to Approximate Change -
Local Max and Min; Increasing/Decreasing Functions -
The Mean Value Theorem -
Finding Critical Numbers – Ex 1 -
Finding Critical Numbers – Ex 2 -
Find Local Max/Min and where Increasing/Decreasing -
Concavity and Second Derivatives -
Curve Sketching Using Calculus - Part 1 of 2 -
Curve Sketching Using Calculus - Part 2 of 2 -
Summary of Curve Sketching - Ex 2, Part 1 -
Summary of Curve Sketching - Ex 2, Part 2 -
Summary of Curve Sketching - Ex 2, Part 3 -
Summary of Curve Sketching - Ex 2, Part 4 -
Optimization Problem #1 -
Optimization Problem #2 -
Optimation Problem #3 - Designing a Rain Gutter -
Newtons Method -
Approximating a Definite Integral Using Rectangles -
Definite Integral – Understanding the Definition -
Fundamental Theorem of Calculus Part 1 -
U-Substitution - Definite Integral -
U-Substitution - Definite Integral, Ex 2 -
U-Substitution - More Complicated Examples -
Area Between Curves - Integrate with Respect to y -
Area Between Curves - Integrate Respect to y Pt 2 -
Volumes of Revolution: Disks and Washers, Ex 1 -
Volumes of Revolution: Discs and Washers, Part 1 -
Volumes of Revolution: Discs and Washers, Part 2 -
Volumes of Revolution: Horiz Lines - Discs/Washers -
Finding Volumes of Revolution: Cylindrical Shells -
Volumes of Revolution Using Discs / Washer -
Volumes of Revolution: Cylindrical Shells (long) -
Work and Hooke's Law - Example 1 -
Work and Hooke's Law - Example 2 -
Work: The Cable/Rope Problem Part 1 -
Work: The Cable/Rope Problem – Part 2 -
Work: Finding the Work Required to Drain a Tank -
Derivatives of Exponential Functions -
Integrals: Exponential Functions – Ex 1 and 2 -
Integrals: Exponential Functions – Ex 3 and 4 -
Derivatives of Logarithmic Functions -
Inverse Trig Functions: Derivatives Pt 1 -
Inverse Trigonometric Functions: Derivatives Pt 2 -
Inverse Trigonometric Function Derivatives: Ex 3 -
Hyperbolic Functions - The Basics -
Integrals: Hyberbolic Functions -
Inverse Hyperbolic Functions; Derivatives -
L'Hospitals Rule - Indeterminate Powers -
L'Hospitals Rule - Indeterminate Quotients -
L'Hospitals Rule - Indeterminate Differences -
L'Hospitals Rule - Indeterminate Products -
Using Integration by Parts Twice -
Integration by Parts – Ex 1 -
Integration by Parts – Definite Integral -
Integration by Parts – A Loopy Example! -
Trigonometric Integrals - Part 1 of 6 -
Trigonometric Integrals - Part 2 of 6 -
Trigonometric Integrals - Part 3 of 6 -
Trigonometric Integrals - Part 4 of 6 -
Trigonometric Integrals - Part 5 of 6 -
Trigonometric Integrals - Part 6 of 6 -
A Basic Trigonometric Substitution Problem -
Trig Substitution: Completing the Square Part 1/2 -
Trig Substitution: Completing the Square Part 2/2 -
Integration by Partial Fractions: Long Division -
Integration by Partial Fractions: Coefficients -
Integration by Partial Fractions: An Example -
Partial Fractions and Rationalizing Substitutions -
Approximating Integrals: Simpsons Rule -
Approximating Integrals: Simpsons Rule Error Bound -
Approximating Integrals: Trapezoid Rule -
Improper Integral – Basic Idea and Example -
Improper Integral: Infinite Discontinuity-Middle -
Improper Integral: Infinite Discontinuity-Endpoint -
Improper Integral: Infinity in Upper, Lower Limits -
Improper Integral – More Complicated Example -
Finding Arc Length -
Finding Surface Area, Part 1 -
Finding Surface Area, Part 2 -
Centroids / Centers of Mass – Part 2 of 2 -
Centroids / Centers of Mass – Part 1 of 2 -
Separable 1st Order Differential Equations – Pt 1 -
Separable Differential Equations: Mixing Problems -
First Order Linear Differential Equations -
Exact Differential Equations -
Undetermined Coefficients/2nd Order Linear DE 1 -
Undetermined Coefficients/2nd Order Linear DE 2 -
Homogeneous 2nd Order Linear Diff Equations -
Power Series Solutions of Differential Equations -
Laplace Transform -
Parametric Curves – Basic Graphing -
Derivatives of Parametric Functions -
Parametric Curves - Second Derivatives -
Areas and Parametric Curves -
Polar Coordinates – The Basics -
Graphing a Polar Curve – Part 1 -
Graphing a Polar Curve – Part 2 -
Areas and Polar Coordinates -
What is a Sequence? Basic Sequence Info -
More Convergent Sequence Examples -
What is a Series? -
Telescoping Series -
Using Partial Sums to Show a Series Diverges -
Geometric Series -
Geometric Series, Part 2 -
Geometric Series - More Examples -
Geometric Series: Repeating Decimal as Fraction -
Integral Test for Series -
Remainder Estimate for the Integral Test -
Limit and Direct Comparison Tests – Pt 1 -
Limit and Direct Comparison Tests – Pt 2 -
Alternating Series -
Alternating Series - Another Example -
The Alternating Series Estimation Theorem -
The Ratio Test and Absolute Convergence Part 1 -
The Ratio Test and Absolute Convergence Part 2 -
Strategy for Testing Series - An Overview -
Power Series - Finding the Interval of Convergence -
Power Series Representations: PSR for 1/(1 - x) -
Power Series - Multiplying and Dividing -
Differentiating and Integrating Power Series -
Find a Maclaurin Series -
Finding a Taylor Series Expansion -
Taylor's Inequality -
Using Series to Evaluate Limits -
Maclaurin/Taylor to Approximate Definite Integrals -
The Binomial Series - Ex 1 -
The Binomial Series - Ex 2 -
Vectors: Finding Magnitude or Length -
Vectors: Finding Equations of Lines -
Vectors: The Dot Product -
The Cross Product of Two Vectors -
Torque: An Application of the Cross Product -
Finding Where a Line Intersects a Plane -
The Domain of a Vector Function -
Limit of a Vector Function -
Finding the Equation of a Plane Given 3 Points -
Finding the Domain of a Multivariable Function -
Show Limit Does NOT Exist: Multivariable Function -
Limit Does NOT Exist - Multivariable Function -
Partial Derivatives -
Partial Derivatives: Higher Order -
Equations of Tangent Planes at a Point -
Finding a Tangent Plane Approximation -
Generalized Chain Rule, Part 1 -
Generalized Chain Rule, Part 2 -
Directional Derivative & Gradient Vector Notation -
Finding the Directional Derivative - Ex 1 -
Finding the Directional Derivative - Ex 2 -
Lagrange Multipliers - One Constrait -
Lagrange Multipliers -
Lagrange Multipliers - Two Constraints, Part 1 -
Lagrange Multipliers - Two Constraints Part 2 -
Evaluating a Double Integral -
Double Integrals Over General Regions -
A Double Integral Over a General Region -
Double Integrals – Changing Order of Integration -
Double Integrals: Change Order of Integration Ex 2 -
A Double Integral in Polar Coordinates, Part 1 -
A Double Integral in Polar Coordinates, Part 2 -
Double Integral in Polar Coordinates, Part 3 -
Integration Using Spherical Coordinates -
Evaluating a Triple Integral -
The Jacobian -
Vector Fields -
Evaluating a Line Integral -
Evaluate Line Integral on Straight Line Segments -
Evaluating a Line Integral From the Definition -
The Fundamental Theorem for Line Integrals -
Greens Theorem -
Potential for a Conservative Vector Field – Ex 1 -
Potential for a Conservative Vector Field – Ex 2 -
Conservative Vector Fields - Definition & Notation -
Showing a Vector Field on R_2 is Conservative -
Is Vector Field is Conservative? (Using Curl) Ex 1 -
Is Vector Field is Conservative? (Using Curl) Ex 2 -
Evaluating a Surface Integral
About this Series
- Lessons: 225
- Total Time: 28h 16m
- Use: Watch Online & Download
- Access Period: Unlimited
- Created At: 09/30/2010
- Last Updated At: 01/31/2011
This 226-video calculus series should help you to learn and master calculus concepts from first semester calculus, second semester calculus and third semester calculus. The first semester videos (~65 videos) focus on derivatives and differentiation. The second semester videos (~110 videos) deal with integration and integrals. Then, the third semester videos (~50 videos) focus on vectors, partial derivatives, multiple integrals, vector functions ans vector calculus.
These videos are available to be viewed online for free on PatrickJMT
About this Author
-
- patrickjmt
- 987 lessons
- Joined:
08/17/2010
Many of the videos for sale are also available on my website: http://PatrickJMT.com or you can also do a search and check out my popular 'math channel' on YouTube (PatrickJMT). You can watch all of them there for FREE!
Masters degree in Mathematics; former math instructor at a top 20 university!
Lessons Included
- What is a Limit? Basic Idea of Limits
- Calculating a Limit by Multiplying by a Conjugate
- Calculating a Limit by Expanding and Simplifying
- Calculating a Limit by Factoring and Cancelling
- Find a Limit by Getting a Common Denominator
- Calculating a Limit Involving Absolute Value
- Limit of sin(x)/x as x Approaches Zero
- Squeeze Theorem for Limits
- Infinite Limits
- Find Horizontal Asymptotes of Rational Functions
- Limits at Infinity & Rational Function; Shortcuts
- Limits at Infinity with Radical in the Expression
- Basic Continuity Problems
- More Continuity Problems/Examples
- The Intermediate Value Theorem
- Continuity and Three Important Theorems
- Derivatives Using the Definition
- Sketching the Derivative of a Function
- Basic Derivative Examples
- Chain Rule: Basic Problems
- Chain Rule – Harder Ex 1
- Chain Rule – Harder Ex 2
- Chain Rule – Harder Ex 3
- Product and Chain Rule to Find a Derivative
- Chain, Quotient Rule to Find Derivative & Simplify
- Derivative from Chain, Quotient Rule; Simplify 2
- Derivatives - Complicated (Multi-Step) Examples
- Logarithmic Differentiation - Ex 1
- Logarithmic Differentiation - Ex 2
- Logarithmic Differentiation - Ex 3
- Tons of Derivative Examples
- Implicit Differentiation to Find First Derivative
- Implicit Differentiation to Find Second Derivative
- Related Rates Involving Baseball
- Related Rates, Ex 1
- Related Rates, Ex 2
- Related Rates, UT example
- Related Rates Involving Cones - UT Problem
- UT Related Rates Problem, Ex 1
- UT Related Rates Problem, Ex 2
- UT Related Rates Problem, Ex 3
- UT Related Rates Problem, Ex 4
- UT Related Rates Problem, Ex 5
- UT Related Rates Problem, Ex 6
- Related Rates Involving Baseball
- UT Related Rates Problem 8
- Find a Linear Approximation/Linearization
- Finding a Linear Approximation / Linearization
- Using Differentials to Approximate Change
- Local Max and Min; Increasing/Decreasing Functions
- The Mean Value Theorem
- Finding Critical Numbers – Ex 1
- Finding Critical Numbers – Ex 2
- Find Local Max/Min and where Increasing/Decreasing
- Concavity and Second Derivatives
- Curve Sketching Using Calculus - Part 1 of 2
- Curve Sketching Using Calculus - Part 2 of 2
- Summary of Curve Sketching - Ex 2, Part 1
- Summary of Curve Sketching - Ex 2, Part 2
- Summary of Curve Sketching - Ex 2, Part 3
- Summary of Curve Sketching - Ex 2, Part 4
- Optimization Problem #1
- Optimization Problem #2
- Optimation Problem #3 - Designing a Rain Gutter
- Newtons Method
- Approximating a Definite Integral Using Rectangles
- Definite Integral – Understanding the Definition
- Fundamental Theorem of Calculus Part 1
- U-Substitution - Definite Integral
- U-Substitution - Definite Integral, Ex 2
- U-Substitution - More Complicated Examples
- Area Between Curves - Integrate with Respect to y
- Area Between Curves - Integrate Respect to y Pt 2
- Volumes of Revolution: Disks and Washers, Ex 1
- Volumes of Revolution: Discs and Washers, Part 1
- Volumes of Revolution: Discs and Washers, Part 2
- Volumes of Revolution: Horiz Lines - Discs/Washers
- Finding Volumes of Revolution: Cylindrical Shells
- Volumes of Revolution Using Discs / Washer
- Volumes of Revolution: Cylindrical Shells (long)
- Work and Hooke's Law - Example 1
- Work and Hooke's Law - Example 2
- Work: The Cable/Rope Problem Part 1
- Work: The Cable/Rope Problem – Part 2
- Work: Finding the Work Required to Drain a Tank
- Derivatives of Exponential Functions
- Integrals: Exponential Functions – Ex 1 and 2
- Integrals: Exponential Functions – Ex 3 and 4
- Derivatives of Logarithmic Functions
- Inverse Trig Functions: Derivatives Pt 1
- Inverse Trigonometric Functions: Derivatives Pt 2
- Inverse Trigonometric Function Derivatives: Ex 3
- Hyperbolic Functions - The Basics
- Integrals: Hyberbolic Functions
- Inverse Hyperbolic Functions; Derivatives
- L'Hospitals Rule - Indeterminate Powers
- L'Hospitals Rule - Indeterminate Quotients
- L'Hospitals Rule - Indeterminate Differences
- L'Hospitals Rule - Indeterminate Products
- Using Integration by Parts Twice
- Integration by Parts – Ex 1
- Integration by Parts – Definite Integral
- Integration by Parts – A Loopy Example!
- Trigonometric Integrals - Part 1 of 6
- Trigonometric Integrals - Part 2 of 6
- Trigonometric Integrals - Part 3 of 6
- Trigonometric Integrals - Part 4 of 6
- Trigonometric Integrals - Part 5 of 6
- Trigonometric Integrals - Part 6 of 6
- A Basic Trigonometric Substitution Problem
- Trig Substitution: Completing the Square Part 1/2
- Trig Substitution: Completing the Square Part 2/2
- Integration by Partial Fractions: Long Division
- Integration by Partial Fractions: Coefficients
- Integration by Partial Fractions: An Example
- Partial Fractions and Rationalizing Substitutions
- Approximating Integrals: Simpsons Rule
- Approximating Integrals: Simpsons Rule Error Bound
- Approximating Integrals: Trapezoid Rule
- Improper Integral – Basic Idea and Example
- Improper Integral: Infinite Discontinuity-Middle
- Improper Integral: Infinite Discontinuity-Endpoint
- Improper Integral: Infinity in Upper, Lower Limits
- Improper Integral – More Complicated Example
- Finding Arc Length
- Finding Surface Area, Part 1
- Finding Surface Area, Part 2
- Centroids / Centers of Mass – Part 2 of 2
- Centroids / Centers of Mass – Part 1 of 2
- Separable 1st Order Differential Equations – Pt 1
- Separable Differential Equations: Mixing Problems
- First Order Linear Differential Equations
- Exact Differential Equations
- Undetermined Coefficients/2nd Order Linear DE 1
- Undetermined Coefficients/2nd Order Linear DE 2
- Homogeneous 2nd Order Linear Diff Equations
- Power Series Solutions of Differential Equations
- Laplace Transform
- Parametric Curves – Basic Graphing
- Derivatives of Parametric Functions
- Parametric Curves - Second Derivatives
- Areas and Parametric Curves
- Polar Coordinates – The Basics
- Graphing a Polar Curve – Part 1
- Graphing a Polar Curve – Part 2
- Areas and Polar Coordinates
- What is a Sequence? Basic Sequence Info
- More Convergent Sequence Examples
- What is a Series?
- Telescoping Series
- Using Partial Sums to Show a Series Diverges
- Geometric Series
- Geometric Series, Part 2
- Geometric Series - More Examples
- Geometric Series: Repeating Decimal as Fraction
- Integral Test for Series
- Remainder Estimate for the Integral Test
- Limit and Direct Comparison Tests – Pt 1
- Limit and Direct Comparison Tests – Pt 2
- Alternating Series
- Alternating Series - Another Example
- The Alternating Series Estimation Theorem
- The Ratio Test and Absolute Convergence Part 1
- The Ratio Test and Absolute Convergence Part 2
- Strategy for Testing Series - An Overview
- Power Series - Finding the Interval of Convergence
- Power Series Representations: PSR for 1/(1 - x)
- Power Series - Multiplying and Dividing
- Differentiating and Integrating Power Series
- Find a Maclaurin Series
- Finding a Taylor Series Expansion
- Taylor's Inequality
- Using Series to Evaluate Limits
- Maclaurin/Taylor to Approximate Definite Integrals
- The Binomial Series - Ex 1
- The Binomial Series - Ex 2
- Vectors: Finding Magnitude or Length
- Vectors: Finding Equations of Lines
- Vectors: The Dot Product
- The Cross Product of Two Vectors
- Torque: An Application of the Cross Product
- Finding Where a Line Intersects a Plane
- The Domain of a Vector Function
- Limit of a Vector Function
- Finding the Equation of a Plane Given 3 Points
- Finding the Domain of a Multivariable Function
- Show Limit Does NOT Exist: Multivariable Function
- Limit Does NOT Exist - Multivariable Function
- Partial Derivatives
- Partial Derivatives: Higher Order
- Equations of Tangent Planes at a Point
- Finding a Tangent Plane Approximation
- Generalized Chain Rule, Part 1
- Generalized Chain Rule, Part 2
- Directional Derivative & Gradient Vector Notation
- Finding the Directional Derivative - Ex 1
- Finding the Directional Derivative - Ex 2
- Lagrange Multipliers - One Constrait
- Lagrange Multipliers
- Lagrange Multipliers - Two Constraints, Part 1
- Lagrange Multipliers - Two Constraints Part 2
- Evaluating a Double Integral
- Double Integrals Over General Regions
- A Double Integral Over a General Region
- Double Integrals – Changing Order of Integration
- Double Integrals: Change Order of Integration Ex 2
- A Double Integral in Polar Coordinates, Part 1
- A Double Integral in Polar Coordinates, Part 2
- Double Integral in Polar Coordinates, Part 3
- Integration Using Spherical Coordinates
- Evaluating a Triple Integral
- The Jacobian
- Vector Fields
- Evaluating a Line Integral
- Evaluate Line Integral on Straight Line Segments
- Evaluating a Line Integral From the Definition
- The Fundamental Theorem for Line Integrals
- Greens Theorem
- Potential for a Conservative Vector Field – Ex 1
- Potential for a Conservative Vector Field – Ex 2
- Conservative Vector Fields - Definition & Notation
- Showing a Vector Field on R_2 is Conservative
- Is Vector Field is Conservative? (Using Curl) Ex 1
- Is Vector Field is Conservative? (Using Curl) Ex 2
- Evaluating a Surface Integral
Below are the descriptions for each of the lessons included in the series:
-
What is a Limit? Basic Idea of Limits
What is a Limit? Basic Idea of Limits and what it means to calculate a limit.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Calculating a Limit by Multiplying by a Conjugate
Calculating a Limit by Multiplying by a Conjugate
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Calculating a Limit by Expanding and Simplifying
Calculating a Limit by Expanding and Simplifying
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Calculating a Limit by Factoring and Cancelling
Calculating a Limt By Factoring and Cancelling - One example is shown!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Find a Limit by Getting a Common Denominator
Calculating a Limit by Getting a Common Denominator - One example is shown!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Calculating a Limit Involving Absolute Value
Limits Involving Absolute Value - In this video I do two limit problems that involve | absolute value | . I discuss the basic algebraic idea of how to get started on these problems.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Limit of sin(x)/x as x Approaches Zero
Calculating a Limit Involving sin(x)/x as x approaches zero
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Squeeze Theorem for Limits
The Squeeze Theorem for Limits - I discuss the idea of the Squeeze Theorem as well as showing two examples illustrating the Squeeze Theorem!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Infinite Limits
Calculus - Infinite Limits. In this video I calculate a few limits where the solutions are either +/- infinity or the limits do not exist.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Find Horizontal Asymptotes of Rational Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Limits at Infinity & Rational Function; Shortcuts
Limits at Infinity - Basic Idea and Shortcuts for Rational Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Limits at Infinity with Radical in the Expression
Calculating a Limit at Infinity with a Radical in the Expression
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Basic Continuity Problems
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
More Continuity Problems/Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
The Intermediate Value Theorem
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Continuity and Three Important Theorems
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Derivatives Using the Definition
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Sketching the Derivative of a Function
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Basic Derivative Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Chain Rule: Basic Problems
Basic Chain Rule Problems - A few examples are shown.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Chain Rule – Harder Ex 1
An example is shown using the chain rule multiple times!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Chain Rule – Harder Ex 2
Using the Chain Rule - Harder Example #2. In this video I use the Chain rule along with the quotient rule and simplify!!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Chain Rule – Harder Ex 3
Using the Chain Rule - Harder Example #3. Just another looooong problem using the chain rule!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Product and Chain Rule to Find a Derivative
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Chain, Quotient Rule to Find Derivative & Simplify
Derivatives - Quotient and Chain Rule and Simplifying - One complete example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
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Derivative from Chain, Quotient Rule; Simplify 2
Product Rule, Chain Rule and Simplifying - Ex 2.
In this video, I use the product rule and the chain rule to find a derivative and then use some algebra to clean it up!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Derivatives - Complicated (Multi-Step) Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Logarithmic Differentiation - Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Logarithmic Differentiation - Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Logarithmic Differentiation - Ex 3
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Tons of Derivative Examples
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Implicit Differentiation to Find First Derivative
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Implicit Differentiation to Find Second Derivative
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
www.patrickjmt.com
-
Related Rates Involving Baseball
Related Rates Involving Baseball!
A problem from UT Austin Calculus 1 course, HW #8.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates, Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates, Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates, UT example
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates Involving Cones - UT Problem
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UT Related Rates Problem, Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem, Ex 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem, Ex 3
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem, Ex 4
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem, Ex 5
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem, Ex 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Related Rates Involving Baseball
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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UT Related Rates Problem 8
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Find a Linear Approximation/Linearization
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding a Linear Approximation / Linearization
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Using Differentials to Approximate Change
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Local Max and Min; Increasing/Decreasing Functions
Increasing/Decreasing , Local Maximums/Minimums - The basic idea!
In this video, I just give a graph and discuss intervals where the function is increasing and decreasing. I also discuss local maximums and minimums.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Mean Value Theorem
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Finding Critical Numbers – Ex 1
Finding Critical Numbers - Example 1. In this video I show how to find the critical numbers of a rational function.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding Critical Numbers – Ex 2
Finding Critical Numbers - Example 2.
Another example of finding critical numbers.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Find Local Max/Min and where Increasing/Decreasing
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Concavity and Second Derivatives
Concavity and Second Derivatives - Examples of using the second derivative to determine where a function is concave up or concave down.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Curve Sketching Using Calculus - Part 1 of 2
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Curve Sketching Using Calculus - Part 2 of 2
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Summary of Curve Sketching - Ex 2, Part 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Summary of Curve Sketching - Ex 2, Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Summary of Curve Sketching - Ex 2, Part 3
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Summary of Curve Sketching - Ex 2, Part 4
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Optimization Problem #1
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Optimization Problem #2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Optimation Problem #3 - Designing a Rain Gutter
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Newtons Method
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Approximating a Definite Integral Using Rectangles
Approximating a Definite Integral Using Rectangles - Here I use 4 rectangles and left endpoints as well as midponits to approximate the area underneath 16-x^2 from x = 0 to x = 2.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Definite Integral – Understanding the Definition
The Definite Integral - Understanding the Definition. In this video, I discuss the definition only; I do not calculate any definite integrals.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Fundamental Theorem of Calculus Part 1
Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals.
In this video I show the FTC part 1 and show 4 examples involving derivatives of integralsThis video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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U-Substitution - Definite Integral
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U-Substitution - Definite Integral, Ex 2
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U-Substitution - More Complicated Examples
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Area Between Curves - Integrate with Respect to y
Area Between Curves - Integrating with Respect to y - I show the general formula, graph two functions, and set up the integral in this video.
I calculate the integral in part 2!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Area Between Curves - Integrate Respect to y Pt 2
Area Between Curves - Integrating with Respect to y - Part 2.
In this video, I actually do the integration and calculate the area.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Volumes of Revolution: Disks and Washers, Ex 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Volumes of Revolution: Discs and Washers, Part 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Volumes of Revolution: Discs and Washers, Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Volumes of Revolution: Horiz Lines - Discs/Washers
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding Volumes of Revolution: Cylindrical Shells
Volumes of Revolution - Cylindrical Shells. In this video I show to examples of finding volumes using the method of cylindrical shells.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Volumes of Revolution Using Discs / Washer
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Volumes of Revolution: Cylindrical Shells (long)
Longer Version - Volumes using Cylindrical Shells - In this video I do numerous examples of finding volumes using the shell method.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Work and Hooke's Law - Example 1
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Work and Hooke's Law - Example 2
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Work: The Cable/Rope Problem Part 1
0
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Work: The Cable/Rope Problem – Part 2
Finding Work using Calculus - The Cable/Rope Problem - Part b. In this video, I find the work required to lift up only HALF of the rope to the top of the building.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Work: Finding the Work Required to Drain a Tank
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Derivatives of Exponential Functions
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integrals: Exponential Functions – Ex 1 and 2
Integrating Exponential Functions - Examples 1 and 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integrals: Exponential Functions – Ex 3 and 4
Integrating Exponential Functions - Examples 3 and 4
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Derivatives of Logarithmic Functions
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Inverse Trig Functions: Derivatives Pt 1
Inverse Trigonometric Functions - Derivatives - I give the formulas for the derivatives of the six inverse trig functions and do 3 derivative examples.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Inverse Trigonometric Functions: Derivatives Pt 2
Inverse Trigonometric Functions - Derivatives. A harder example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Inverse Trigonometric Function Derivatives: Ex 3
Inverse Trigonometric Functions - Derivatives. A harder example.
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Hyperbolic Functions - The Basics
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Integrals: Hyberbolic Functions
In this video, I calculate some integrals involving hyperbolic functions.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Inverse Hyperbolic Functions; Derivatives
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L'Hospitals Rule - Indeterminate Powers
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L'Hospitals Rule - Indeterminate Quotients
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L'Hospitals Rule - Indeterminate Differences
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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L'Hospitals Rule - Indeterminate Products
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Using Integration by Parts Twice
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Integration by Parts – Ex 1
Integration by Parts – Ex 1: 3 complete examples are shown of finding an antiderivative using integration by parts
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Parts – Definite Integral
Integration by Parts - Definite Integral.
In this video I do a definite integral using Integration by Parts.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Parts – A Loopy Example!
Intergration by Parts - A Loopy Example! In this video I show how to use IBP's twice to solve an integral even though at first it may look like no progress is being made!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 1 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 2 of 6
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Trigonometric Integrals - Part 3 of 6
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Trigonometric Integrals - Part 4 of 6
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Trigonometric Integrals - Part 5 of 6
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Trigonometric Integrals - Part 6 of 6
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A Basic Trigonometric Substitution Problem
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Trig Substitution: Completing the Square Part 1/2
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Trig Substitution: Completing the Square Part 2/2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Partial Fractions: Long Division
Partial Fraction Decompositions and Long Division - In this video, I discuss all of the partial fraction decompositions as well as do an example with long division.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Integration by Partial Fractions: Coefficients
Determining Coefficients for Partial Fractions - All 4 cases are covered
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Integration by Partial Fractions: An Example
A Complete Partial Fractions Problem!
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Partial Fractions and Rationalizing Substitutions
Integration Using Partial Fractions and a Rationalizing Substitution. A complete example is shown!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Approximating Integrals: Simpsons Rule
Simpsons Rule - Approximate Integration.
In this video, I give the formula for Simpson's Rule, and use it to approximate a definite integral.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Approximating Integrals: Simpsons Rule Error Bound
Simpsons Rule - Error Bound. In this video, I find the number of intervals required when using Simpson's Rule to approximate a definite integral to a desired accuracy
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Approximating Integrals: Trapezoid Rule
The Trapezoid Rule for Approximating Integrals.
In this video, I show the formula and give one simple example of using the Trapezoid Rule to approximate the value of a definite integral.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral – Basic Idea and Example
Improper Integral - Basic Idea and Example
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral: Infinite Discontinuity-Middle
Improper Integral w/ Infinite Discontinuity in the Middle.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral: Infinite Discontinuity-Endpoint
Improper Integral with Infinite Discontinuity at Endpoint.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral: Infinity in Upper, Lower Limits
Improper Integral - Infinity in Upper and Lower Limits - In this video, I do an improper integral with postive infinity in the upper limit of integration and negative infinity in the lower limit of integration.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Improper Integral – More Complicated Example
Improper Integral - More Complicated Example.
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Finding Arc Length
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding Surface Area, Part 1
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Finding Surface Area, Part 2
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Centroids / Centers of Mass – Part 2 of 2
Centroids / Centers of Mass - Part 2 of 2. I finish off the problem of finding the centroids of a region.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Centroids / Centers of Mass – Part 1 of 2
Finding Centroids / Centers of Mass - Part 1 of 2.
I give the formulas and do part of the calculation of one complete example!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Separable 1st Order Differential Equations – Pt 1
Solving Separable First Order Differential Equations - Ex 1. One complete example is shown of solving a separable differential equation.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Separable Differential Equations: Mixing Problems
Mixing Problems and Separable Differential Equations.
In this video, I discuss how a basic type of mixing problem can be solved by recognizing that the situation is modeled by a separable differential equation.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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First Order Linear Differential Equations
First Order Linear Differential Equations - In this video I outline the general techique to solve First Order Linear Differential Equations and do a complete example.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Exact Differential Equations
Exact Differential Equations - In this video I show what it means for a differential equation to be exact and then one solve one problem.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Undetermined Coefficients/2nd Order Linear DE 1
Using the Method of Undetermined Coefficients to find general solutions of Second Order Linear Non-Homogeneous Differential Equations.
In this video, what this type of DE is, and also give the theorem for finding general solutions!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Undetermined Coefficients/2nd Order Linear DE 2
Using the Method of Undetermined Coefficients to find general solutions of Second Order Linear Non-Homogeneous Differential Equations.
In this video, I finish off the first example!This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Homogeneous 2nd Order Linear Diff Equations
Homogeneous Second Order Linear Differential Equations - I show what a Homogeneous Second Order Linear Differential Equations is, talk about solutions, and do two examples.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Power Series Solutions of Differential Equations
Power Series Solutions of Differential Equations - In this video, I show how to use power series to find a solution of a differential equation. This is a SIMPLE example and the final solution is very NICE compared to what would normally happen with a more complicated differential equation, so please be aware of that!
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Laplace Transform
In this video, I discuss the definition of the Laplace Transform and use it to find the Laplace Transform of f(t) = e^t.
This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Parametric Curves – Basic Graphing
Parametric Curves - Basic Graphing. In this video, I discuss some of the very basics about graphing parametric curves. One example of eliminating the parameter is shown.
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Derivatives of Parametric Functions
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Parametric Curves - Second Derivatives
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Areas and Parametric Curves
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Polar Coordinates – The Basics
Polar Coordinates - The Basics are disussed. I show how to graph a 'polar point' as well as how to convert from cartesian to polar form and vice versa.
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Graphing a Polar Curve – Part 1
Graphing a Polar Curve. In this video, I discuss how to graph the polar curve r = 3cos(2*theta).
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Graphing a Polar Curve – Part 2
Graphing a Polar Curve. In this video, I discuss how to graph the polar curve r = 3cos(2*theta).
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Areas and Polar Coordinates
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What is a Sequence? Basic Sequence Info
What is a Sequence? Basic Sequence Info. In this video, I discuss what a sequence is, what it means for a sequence to converge or diverge, and do some examples.
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More Convergent Sequence Examples
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What is a Series?
What is a Series - I try to give a basic idea of what a series is. I also briefly discuss geometric series and the test for divergence.
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Telescoping Series
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Using Partial Sums to Show a Series Diverges
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Geometric Series
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Geometric Series, Part 2
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Geometric Series - More Examples
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Geometric Series: Repeating Decimal as Fraction
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Integral Test for Series
Using the Integral Test for Series - One complete example. I justify EVERYTHING!
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Remainder Estimate for the Integral Test
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Limit and Direct Comparison Tests – Pt 1
Using the Limit Comparison Test to Determine if a series converges or diverges.
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Limit and Direct Comparison Tests – Pt 2
Limit Comparison Test and Direct Comparison Test - Using the Limit Comparison and Direct Comparison Test to Determine if a Series Converges or Diverges.
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Alternating Series
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Alternating Series - Another Example
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The Alternating Series Estimation Theorem
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The Ratio Test and Absolute Convergence Part 1
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The Ratio Test and Absolute Convergence Part 2
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Strategy for Testing Series - An Overview
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Power Series - Finding the Interval of Convergence
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Power Series Representations: PSR for 1/(1 - x)
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Power Series - Multiplying and Dividing
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Differentiating and Integrating Power Series
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Find a Maclaurin Series
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Finding a Taylor Series Expansion
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Taylor's Inequality
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Using Series to Evaluate Limits
Using Series to Evaluate Limits - In this example I show how one can use a series expansion and a bit of algebra to calculate a limit.
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Maclaurin/Taylor to Approximate Definite Integrals
Using Maclaurin/Taylor Series to Approximate a Definite Integral to a Desired Accuracy.
In this video, I use Maclaurin/Taylor series and the Alternating Series Estimation Theorem to approximate a definite integral to within a desired accuracy.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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The Binomial Series - Ex 1
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The Binomial Series - Ex 2
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Vectors: Finding Magnitude or Length
Vectors - Finding Magnitude or Length. I give the formula, and do a couple examples of finding the magitude, or length, or a vector. Nothing heavy
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Vectors: Finding Equations of Lines
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Vectors: The Dot Product
Vectors - The Dot Product. I show how to compute the dot product of two vectors, along with some useful theorems and results involving dot products. 3 complete examples are shown.
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The Cross Product of Two Vectors
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Torque: An Application of the Cross Product
Torque - When you tighten a bolt on the tire of your car, you are using torque! An application of the cross product involving torque is shown. In this video, I calculate the magnitude of the torque vector.
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Finding Where a Line Intersects a Plane
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The Domain of a Vector Function
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Limit of a Vector Function
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Finding the Equation of a Plane Given 3 Points
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Finding the Domain of a Multivariable Function
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Show Limit Does NOT Exist: Multivariable Function
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Limit Does NOT Exist - Multivariable Function
Multivariable Calculus: Showing a Limit Does NOT Exist - In this video, I spend a bit of time talking about what it means for a limit not to exist and do one example showing that the limit does not exist.
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Partial Derivatives
Finding Partial Derviatives - 3 examples are shown of finding partial derivatives of a multivariable function
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Partial Derivatives: Higher Order
Calculus: Higher Order Partial Derivatives. In this video, I briefly discuss the notation for higher order partial derivatives and do an example of finding a 3rd partial derivative
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Equations of Tangent Planes at a Point
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Finding a Tangent Plane Approximation
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Generalized Chain Rule, Part 1
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Generalized Chain Rule, Part 2
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Directional Derivative & Gradient Vector Notation
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Finding the Directional Derivative - Ex 1
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Finding the Directional Derivative - Ex 2
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Lagrange Multipliers - One Constrait
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Lagrange Multipliers
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Lagrange Multipliers - Two Constraints, Part 1
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Lagrange Multipliers - Two Constraints Part 2
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Evaluating a Double Integral
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Double Integrals Over General Regions
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A Double Integral Over a General Region
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Double Integrals – Changing Order of Integration
Double Integrals - Changing Order of Integration - Full Example.
Double Integrals - Changing Order of Integration.
In this video, I show an example of how to switch the order of integration. I also integrate the function to get the final answer.This video is available to be viewed online for free on PatrickJMT’s YouTube channel or his main site. Here, you can purchase access to download a version of it for offline viewing.
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Double Integrals: Change Order of Integration Ex 2
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A Double Integral in Polar Coordinates, Part 1
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A Double Integral in Polar Coordinates, Part 2
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Double Integral in Polar Coordinates, Part 3
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Integration Using Spherical Coordinates
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Evaluating a Triple Integral
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The Jacobian
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Vector Fields
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Evaluating a Line Integral
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Evaluate Line Integral on Straight Line Segments
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Evaluating a Line Integral From the Definition
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The Fundamental Theorem for Line Integrals
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Greens Theorem
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Potential for a Conservative Vector Field – Ex 1
Finding a Potential for a Conservative Vector Field.
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Potential for a Conservative Vector Field – Ex 2
In this video, I show another example of finding a potential for a conservative vector field.
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Conservative Vector Fields - Definition & Notation
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Showing a Vector Field on R_2 is Conservative
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Is Vector Field is Conservative? (Using Curl) Ex 1
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Is Vector Field is Conservative? (Using Curl) Ex 2
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Evaluating a Surface Integral
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This video goes over single variable calculus material about tangent lines at a point. The title says, "Tangent Planes at a point." I want a refund.
Great help; Thank you !