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Jim Bowen Stillwater High School Stillwater, Oklahoma
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================== Calculus Videos… Index: ===================
Limits:
( Part 1 ) – Limits of Rational Functions
( Part 2 ) – Limits of Rational Functions
Limits by Rationalizing the Numerator
( Part 1 ) Understanding the Epsilon – Delta Definition of Limits
( Part 2 ) Epsilon – Delta Definition of Limits
The “Squeeze” Theorem for Limits
The Intermediate Value Theorem
Limit as X Approaches Infinity ( Part 1 )
Limit as X Approaches Infinity ( Part 2 ) ( Rational Functions )
Limit as X Approaches Infinity ( Part 3 ) ( Two Asymptotes & Radicals )
( Part 1 ) Graph Piecewise Defined Functions
( Part 2 ) Evaluate Piecewise Defined Functions
( Part 3 ) Limits of Piecewise Defined Functions
L’Hospital’s Rule ( Part 1 ) ( 0 / 0 Form )
L’Hospital’s Rule ( Part 2 ) ( oo / oo Form )
L’Hospital’s Rule ( Part 3 ) ( Repeated Application )
L’Hospital’s Rule ( Part 4 ) ( Mis-Application! )
Derivative Rules:
Basic Derivatives using the Power Rule
Equation of the Tangent Line using the Limit Definition
Find Equation of the Tangent and Normal Lines
Product and Quotient Rule ( Part 1 )
Product and Quotient Rule ( Part 2 )
Product and Quotient Rule ( Part 3 )
Chain Rule with Trig ( Part 1 )
Chain Rule with Trig ( Part 2 )
( Base e ) Exponential Function Derivatives
Exponential and Log Derivatives ( Base A )
( Part 1 ) Derivative of an Inverse Function
( Part 2 ) Derivative of an Inverse Function
( Part 3 ) Derivative of an Inverse Function
Bisection Method for Finding the Zeros of a Function
( Part 1 ) Newton’s Method for Finding the Zeros of a Function
( Part 2 ) Newton’s Method for Finding the Zeros of a Function
Inverse Trigonometric Function Derivatives ( Part 1 )
Inverse Trigonometric Function Derivatives ( Part 2 )
Curve Sketching:
Sketch First Derivative Graphs
Sketch Second Derivative Graphs ( Method 1 )
Sketch Second Derivative Graphs ( Method 2 )
( Part 1 ) Sketch Complete Graphs ( No Asymptotes )
( Part 2 ) Sketch Complete Graphs ( With Asymptotes )
( Part 1 ) Mean Value Theorem ( and Rolle’s Theorem )
( Part 2 ) Mean Value Theorem ( and Rolle’s Theorem )
Extreme Values ( Part 1 ) Maximum and Minimum
Extreme Values ( Part 2 ) Maximum and Minimum
( Part 1 ) Increasing and Decreasing Intervals
( Part 2 ) Increasing and Decreasing Intervals
( Part 3 ) Increasing and Decreasing Intervals
( Part 4 ) Increasing and Decreasing Intervals
( Part 1 ) Second Derivative & Concavity & Inflection Points
( Part 2 ) Second Derivative & Concavity & Inflection Points
( Part 3 ) Second Derivative & Concavity & Inflection Points
( Part 4 ) Second Derivative Test for Local Maximum or Minimum
Applications of Derivatives:
Average Velocity vs Instantaneous Velocity
Projectile Motion ( Example 1 )
Projectile Motion ( Example 2 )
Projectile Motion ( Example 3 )
Projectile Motion ( Example 4 )
Non “Projectile Motion” ( Example 5 )
Related Rates “The Shadow Problem”
Related Rates with Trig ( Part 4 )
Related Rates with Trig ( Part 5 )
Related Rates with Trig ( Part 6 )
Optimization Problems ( Example 1 )
Optimization Problems ( Example 2 )
Optimization Problems ( Example 3 )
Integrals and Integration:
Sigma Notation ( Summation Formulas )
Basic Integrals using the Power Rule ( Part 1 )
Basic Integrals using the Power Rule ( Part 2 )
Absolute Value using Integrals
U-Substitution ( Part 2 ) with Trig
U-Substitution ( Part 3 ) Double Substitution
U-Substitution ( Part 4 ) Definite Integrals
U-Substitution ( Part 5 ) Final Examples
Area Between Curves ( Vertical Rectangles )
Area Between Curves ( Horizontal Rectangles )
Center of Mass ( Example 1 ) One Dimensional System
Center of Mass ( Example 2 ) 2-D Point Mass System
Center of Mass ( Example 3 ) Planar Lamina
Center of Mass ( Example 4 ) Derive the Formulas
Center of Mass ( Example 5 ) One Function
Center of Mass ( Example 6 ) Two Functions Vertical Rectangles
Center of Mass ( Example 7 ) Derive the Horizontal Formulas
Center of Mass ( Example 8 ) Horizontal Rectangles
Natural Log Function Integrals ( Part 1 )
Natural Log Function Integrals ( Part 2 )
Natural Log Function Integrals ( Part 3 )
Natural Log Function Integrals ( Part 4 )
Six Basic Trig Integrals (Part 1 )
Six Basic Trig Integrals (Part 2 )
Six Basic Trig Integrals (Part 3 )
Exponential Function Integrals ( Base “e” ) ( Part 1 )
Exponential Function Integrals ( Base “e” ) ( Part 2 )
Exponential Function Integrals ( Bases other than “e” ) ( Part 1 )
Exponential Function Integrals ( Bases other than “e” ) ( Part 2 )
Inverse Trigonometric Function Integrals ( Part 1 )
Inverse Trigonometric Function Integrals ( Part 2 )
Applications of Integration:
Volume of Revolution ( Disk Method )
Volume of Revolution ( Volume of a Sphere )
Volume of Revolution ( Washer Method – Part 1 )
Volume of Revolution ( Washer Method – Part 2 )
Volume of Revolution ( Washer Method – Part 3 )
Volume of Revolution ( Shell Method – Part 1 )
Volume of Revolution ( Shell Method – Part 2 )
Volume of Revolution ( Shell Method – Part 3 )
Volume of Revolution ( Shell method – Part 4 )
Volume of Revolution ( Shell Method – Part 5 )
Volume of a Solid using Cross Sections (#1)
Volume of a Solid using Cross Sections ( #2 )
Volume of a Solid using Cross Sections ( #3 )
Volume of a Solid using Cross Sections ( #4 )
Volume of a Solid using Cross Sections ( #5 )
Volume of a Solid using Cross Sections ( #6 )
Integration by Parts:
Integration by Parts ( Part 1 )
Integration by Parts ( Part 2 )
Integration by Parts ( Part 3 )
Integration by Parts ( Part 4 )
Integration by Parts ( Part 5 )
Integration by Parts ( Part 6 )
Techniques of Integration:
Integration by Partial Fractions ( Part 1 ) Fraction Decomposition
Integration by Partial Fractions ( Part 2 ) Distinct Linear Factors
Integration by Partial Fractions ( Part 3 ) Distinct Linear Factors
Integration by Partial Fractions ( Part 4 ) Repeated Linear Factors
Integration by Partial Fractions ( Part 5 ) Quadratic Factors
Integration by Partial Fractions ( Part 6 ) Long Division
Trigonometric Integrals ( Part 1 ) ( Sine & Cosine )
Trigonometric Integrals ( Part 2 ) ( Sine & Cosine )
Trigonometric Integrals ( Part 3 ) ( Sine & Cosine )
Trigonometric Integrals ( Part 4 ) ( Sine & Cosine )
Trigonometric Integrals ( Part 5 ) ( Sine & Cosine )
Trigonometric Integrals ( Part 6 ) ( Secant & Tangent )
Trigonometric Integrals ( Part 7 ) ( Secant & Tangent )
Trigonometric Integrals ( Part 8 ) ( Secant & Tangent )
Trigonometric Integrals ( Part 9 ) ( Secant & Tangent )
Trigonometric Integrals ( Part 10 ) ( Secant & Tangent )
Integrals using Trigonometric Substitution ( Part 1 )
Integrals using Trigonometric Substitution ( Part 2 )
Integrals using Trigonometric Substitution ( Part 3 )
Integrals using Trigonometric Substitution ( Part 4 )
Integrals using Trigonometric Substitution ( Part 5 )
Integrals using Trigonometric Substitution ( Part 6 )
Integrals using Trigonometric Substitution ( Part 7 )
Integrals using Trigonometric Substitution ( Part 8 )
Improper Integrals ( Part 1 ) Infinite Limits
Improper Integrals ( Part 2 ) Infinite Limits
Improper Integrals ( Part 3 ) Infinite Limits
Improper Integrals ( Part 4 ) Infinite Limits
Improper Integrals ( Part 5 ) Infinite Limits
Improper Integrals ( Part 6 ) Infinite Limits
Improper Integrals ( Part 7 ) Infinite Limits
Improper Integrals ( Part 8 ) Infinite Discontinuity
Improper Integrals ( Part 9 ) Infinite Discontinuity
Improper Integrals ( Part 10 ) Infinite Discontinuity
Improper Integrals ( Part 11 ) Infinite Discontinuity
Infinite Series
A Review of Basic Arithmetic Sequences
A Review of Basic Arithmetic Series
A Review of Basic Geometric Sequences
( Part 1 ) Change Repeating Decimals into Fractional Form
( Part 2 ) Change Repeating Decimals into Fractional Form
Convergence of a Sequence ( Part 1 )
Convergence of a Sequence ( Part 2 )
Convergence of a Sequence ( Part 3 )
Convergence of a Sequence ( Part 4 ) ( with Factorials )
Convergence of a Sequence ( Part 5 ) “Squeeze Theorem”
Infinite Sequence and Series Graphs & Partial Sums
Nth Term Test for Divergence ( Infinite Series )
“Geometric Series” Test for Convergence ( Infinite Series )
“p-Series” Test for Convergence ( Infinite Series )
Integral Test for Convergence ( Part 1 ) ( infinite Series )
Integral Test for Convergence ( Part 2 ) ( infinite Series )
Direct Comparison Test for Convergence ( Infinite Series )
Limit Comparison Test for Convergence ( Part 1 ) ( Infinite Series )
Limit Comparison Test for Convergence ( Part 2 ) ( Infinite Series )
Limit Comparison Test for Convergence ( Part 3 ) ( Infinite Series )
Alternating Series Test for Convergence ( Part 1 ) ( Infinite Series )
Alternating Series Test for Convergence ( Part 2 ) ( Infinite Series )
Alternating Series ( Part 3 ) Remainder Estimation ( Infinite Series )
Absolute and Conditional Convergence ( Part 1 ) ( Infinite Series )
Absolute and Conditional Convergence ( Part 2 ) ( Infinite Series )
Understanding the Ratio Test ( Part 1 ) ( Infinite Series )
Ratio Test for Convergence Examples ( Part 2 ) ( Infinite Series )
Root Test for Convergence ( Part 1 ) ( Infinite Series )
Root Test for Convergence ( Part 2 ) ( Infinite Series )
Root Test for Convergence ( Part 3 ) ( Infinite Series )
Taylor Polynomial Approximation for Sin(x) ( Infinite Series )
Taylor Polynomial for Sin(x) ( not centered at x=0 ) ( Infinite Series )
Taylor Polynomial Approximation for Cos(x) ( Infinite Series )
Taylor Polynomial Approximation for e^x ( Infinite Series )
( Part 1 ) Taylor Polynomial for ln(x) ( Infinite Series )
( Part 2 ) Taylor Polynomial for ln(1+x) ( Infinite Series )
( Part 3 ) Taylor Polynomial – Compare ln(x) with ln(1+x) ( Infinite Series )
Taylor Polynomial Approximation for 1 / ( 1 – x ) ( Infinite Series )
( Part 1 ) Lagrange Remainder of a Taylor Polynomial ( Infinite Series )
( Part 2 ) Lagrange Remainder of a Taylor Polynomial ( Infinite Series )
( Part 3 ) Lagrange Remainder of a Taylor Polynomial ( Infinite Series )
( Part 1 ) Power Series Interval of Convergence ( Infinite Series )
( Part 2 ) Power Series Interval of Convergence ( Infinite Series )
( Part 3 ) Power Series Interval of Convergence ( Infinite Series )
( Part 4 ) Power Series Interval of Convergence ( Infinite Series )
( Part 5 ) Power Series Interval of Convergence ( Infinite Series )
( Part 1 ) Convert Rational Function to Geometric Power Series (Infinite Series)
( Part 2 ) Convert Rational Function to Geometric Power Series (Infinite Series)
( Part 3 ) Convert Rational Function to Geometric Power Series (Infinite Series)
( Part 4 ) Convert Rational Function to Geometric Power Series (Infinite Series)
Find a New Power Series using Substitution ( Infinite Series )
( Part 1 ) Multiplication of Power Series ( Infinite Series )
( Part 2 ) Multiplication of Power Series ( Infinite Series )
( Part 3 ) Multiplication of Power Series ( Infinite Series )
( Part 1 ) Division of Power Series ( Infinite Series )
( Part 2 ) Division of Power Series ( Infinite Series )
( Part 1 ) Derivatives of Power Series ( Infinite Series )
( Part 2 ) Derivatives of Power Series ( Infinite Series )
( Part 1 ) Integration of Power Series ( Infinite Series )
( Part 2 ) Integration of Power Series ( Infinite Series )
( Part 3 ) Integration of Power Series ( Infinite Series )
=================== End of Video List =======================
AP Calculus Stillwater 