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YT 5 minutes 16 seconds
Patrick J
❖ Double Integral Using Polar Coordinates - Part 1 of 3 ❖
YT 2 minutes 44 seconds
Patrick J
Groups - Showing G is a group - Part 2
YT 5 minutes 35 seconds
Patrick J
Groups - Showing G is a group - Part 1
YT 8 minutes 1 second
Patrick J
Algebra Word Problem: Distance, Rate, and Time
YT 9 minutes 35 seconds
Patrick J
Inverse Trigonometric Functions - Derivatives - Example 3
YT 4 minutes 21 seconds
Patrick J
Inverse Trigonometric Functions - Derivatives - Example 2
YT 6 minutes 45 seconds
Patrick J
Derivatives of Inverse Trigonometric Functions
YT 4 minutes 12 seconds
Patrick J
Torque - An application of the cross product
YT 7 minutes 27 seconds
Patrick J
❖ Vectors - The Dot Product ❖
YT 3 minutes 33 seconds
Patrick J
❖ Vectors - Finding Magnitude or Length ❖
YT 7 minutes 23 seconds
Patrick J
Complex Numbers - Multiplying and Dividing
YT 4 minutes 22 seconds
Patrick J
Complex Numbers - Graphing, Adding, Subtracting
YT 8 minutes 24 seconds
Patrick J
Line Integrals - Evaluating a Line Integral
YT 5 minutes 33 seconds
Patrick J
y-y1 = m(x - x1) Find the Equation of a Line Using Point-Slope Form
YT 6 minutes 42 seconds
Patrick J
Finding the Slope of a Line
YT 5 minutes 37 seconds
Patrick J
Volumes of Revolution - Cylindrical Shells (Two Examples)
YT 4 minutes 39 seconds
Patrick J
Telescoping Series Example
YT 8 minutes 20 seconds
Patrick J
Using the Integral Test for Series
YT 2 minutes 53 seconds
Patrick J
Volumes of Revolution - Disk/Washers Example 3
YT 3 minutes 3 seconds
Patrick J
Volumes of Revolution - Disk/Washers Example 2
YT 4 minutes 35 seconds
Patrick J
❖ Volumes of Revolution - Disk/Washers Example 1 ❖
YT 6 minutes
Patrick J
Evaluating a Triple Integral
YT 2 minutes 12 seconds
Patrick J
SAT Math Question #8
YT 1 minute 12 seconds
Patrick J
SAT Math Question #7
YT 3 minutes 45 seconds
Patrick J
SAT Math Question #6
YT 1 minute 43 seconds
Patrick J
SAT Math Question #5
YT 2 minutes 16 seconds
Patrick J
SAT Math Question #4
YT 3 minutes 29 seconds
Patrick J
Related Rates #5 Involving Baseball!
YT 2 minutes 21 seconds
Patrick J
🔺 Related Rates in Calculus: Finding the Rate of Change of a Triangle's Side 🔺
YT 3 minutes 54 seconds
Patrick J
🔍 Explore Related Rates with Moving Points on Graphs! 🔍
YT 2 minutes 47 seconds
Patrick J
Related Rates #2 Using Cones
YT 4 minutes 11 seconds
Patrick J
Finding the Linearization at a Point / Tangent Line Approximation
YT 7 minutes 22 seconds
Patrick J
Finding Critical Numbers - Example 2
YT 4 minutes 42 seconds
Patrick J
Finding Critical Numbers - Example 1 Involving a Rational Function (Fraction)
YT 8 minutes 8 seconds
Patrick J
❖ Integration by Parts - The Original Integral Appears after Using IBP's Twice?! ❖
YT 6 minutes 8 seconds
Patrick J
Integration By Parts - Using IBP's Twice
YT 4 minutes 12 seconds
Patrick J
❖ Synthetic Division - Example 2 ❖
YT 5 minutes 46 seconds
Patrick J
❖ Synthetic Division - A Shortcut for Long Division! ❖
YT 7 minutes 19 seconds
Patrick J
❖ A Way to remember the Entire Unit Circle for Trigonometry ❖
YT 9 minutes 5 seconds
Patrick J
The Pythagorean Theorem
YT 4 minutes 56 seconds
Patrick J
Finding the Domain and Range of a Piecewise Function
YT 8 minutes 21 seconds
Patrick J
❖ Find the Formula for a Piecewise Function from Graph ❖
YT 7 minutes 22 seconds
Patrick J
Using the Discriminant for Quadratic Equations
YT 5 minutes 50 seconds
Patrick J
❖ Long Division of Polynomials - A slightly harder example ❖
YT 6 minutes 22 seconds
Patrick J
Using the Quadratic Formula
YT 7 minutes 30 seconds
Patrick J
Deriving the Quadratic Formula
YT 5 minutes 38 seconds
Patrick J
Finding the Probability of Winning the Texas Lottery
YT 8 minutes 53 seconds
Patrick J
Calculating Probability - "At Least One" statements
YT 5 minutes 36 seconds
Patrick J
Calculating Probability - " And " statements, Dependent
YT 8 minutes 4 seconds
Patrick J
Calculating Probability - " And " statements, independent
YT 5 minutes 49 seconds
Patrick J
❖ First Order Linear Differential Equations ❖
YT 6 minutes 23 seconds
Patrick J
Finding the Equation of an Exponential Function
YT 4 minutes 38 seconds
Patrick J
Parametric Curves - Finding Second Derivatives
YT 6 minutes 46 seconds
Patrick J
❖ The Chain Rule : Harder Example ❖
YT 6 minutes 28 seconds
Patrick J
Using the Chain Rule - Harder Example #3
YT 4 minutes 42 seconds
Patrick J
❖ The Chain Rule - Using the Chain Rule Multiple Times ❖
YT 9 minutes 23 seconds
Patrick J
Parametric Curves - Calculating Area
YT 9 minutes 26 seconds
Patrick J
Calculating the Probability of Simple Events
YT 5 minutes 50 seconds
Patrick J
Derivatives of Parametric Functions
YT 9 minutes 6 seconds
Patrick J
Graphing the Greatest Integer or Floor Function
YT 6 minutes 6 seconds
Patrick J
Integration Using Partial Fractions / Rationalizing Sub
YT 5 minutes 8 seconds
Patrick J
❖ Solving Separable First Order Differential Equations ❖
YT 4 minutes 49 seconds
Patrick J
Graphing Systems of Linear Inequalities - Example 2
YT 5 minutes 17 seconds
Patrick J
Graphing Systems of Linear Inequalities - Example 1
YT 8 minutes 24 seconds
Patrick J
Solving Linear Absolute Value Equations and Inequalities
YT 6 minutes 35 seconds
Patrick J
Rationalize the Denominator - Harder Example
YT 7 minutes 3 seconds
Patrick J
Rationalize the Denominator
YT 4 minutes 20 seconds
Patrick J
Trigonometric Substitution - Example 3 / Part 2
YT 9 minutes 30 seconds
Patrick J
Trigonometric Substitution - Example 3 / Part 1
YT 7 minutes 22 seconds
Patrick J
❖ Trigonometric Substitution - Example 2 ❖
YT 10 minutes 28 seconds
Patrick J
Calculating the Work Required to Drain a Tank
YT 6 minutes 5 seconds
Patrick J
Finding Surface Area - Part 2
YT 7 minutes 9 seconds
Patrick J
Finding Surface Area - Part 1
YT 10 minutes 1 second
Patrick J
Arc Length
YT 6 minutes 28 seconds
Patrick J
❖ Solving a System of Linear Equations Using Inverses ❖
YT 8 minutes 12 seconds
Patrick J
Proving some Random Trigonometric Identities
YT 9 minutes 16 seconds
Patrick J
Deriving Trigonometric Identies from Known Identities
YT 4 minutes 32 seconds
Patrick J
Quick Trick to Remember Values on The Unit Circle
YT 9 minutes 50 seconds
Patrick J
Approximating a Definite Integral Using Rectangles
YT 9 minutes 14 seconds
Patrick J
❖ The Definite Integral - Understanding the Definition ❖
YT 8 minutes 24 seconds
Patrick J
Graphing Linear Functions by Finding X,Y Intercepts
YT 8 minutes 43 seconds
Patrick J
Trigonometric Integrals - Part 6 of 6
YT 7 minutes 26 seconds
Patrick J
Graphing Using Graph Transformations - Example 2.
YT 7 minutes 5 seconds
Patrick J
Graphing Using Graph Transformations - Example 1
YT 5 minutes 58 seconds
Patrick J
Trigonometric Integrals - Part 5 of 6
YT 8 minutes 57 seconds
Patrick J
Trigonometric Integrals - Part 4 of 6
YT 5 minutes 54 seconds
Patrick J
Trigonometric Integrals - Part 3 of 6
YT 6 minutes 2 seconds
Patrick J
Trigonometric Integrals - Part 2 of 6
YT 5 minutes 57 seconds
Patrick J
❖ Trigonometric Integrals - Odd Powers of Sine And/Or Cosine ❖
YT 5 minutes 39 seconds
Patrick J
Graph Transformations about the X-axis and Y-axis
YT 7 minutes 7 seconds
Patrick J
Horizontal And Vertical Graph Stretches and Compressions Part 2 of 3
YT 8 minutes 13 seconds
Patrick J
Horizontal And Vertical Graph Stretches and Compressions Part 1 of 3
YT 7 minutes 13 seconds
Patrick J
The Squeeze Theorem for Limits, Example 1
YT 7 minutes 53 seconds
Patrick J
Intermediate Value Theorem
YT 8 minutes 25 seconds
Patrick J
Continuity - Part 2 of 2
YT 6 minutes 25 seconds
Patrick J
Continuity and Limits Made Easy - Part 1 of 2
YT 6 minutes 2 seconds
Patrick J
A Complete Partial Fractions Problem
YT 8 minutes 5 seconds
Patrick J
Curve Sketching Using Calculus - Part 2of 2
YT 10 minutes 1 second
Patrick J
Curve Sketching Using Calculus - Part 1 of 2
YT 10 minutes 16 seconds
Patrick J
Summation Notation
YT 9 minutes 37 seconds
Patrick J
Horizontal and Vertical Graph Transformations
YT 7 minutes 54 seconds
Patrick J
KNOW THESE GRAPHS from Algebra!
YT 9 minutes 3 seconds
Patrick J
Factoring by Grouping
YT 8 minutes 46 seconds
Patrick J
Parametric Curves - Basic Graphing
YT 10 minutes 8 seconds
Patrick J
❖ Root Test for Series ❖
YT 6 minutes 11 seconds
Patrick J
Local Maximum and Minimum Values -Function of Two Variables
YT 10 minutes 44 seconds
Patrick J
Local Maximum and Minimum Values/ Function of Two Variables
YT 6 minutes 51 seconds
Patrick J
Polar Coordinates - Basic Graphing
YT 9 minutes 47 seconds
Patrick J
SAT MATH - Part 3
YT 9 minutes 10 seconds
Patrick J
SAT Math - Part 2
YT 8 minutes 28 seconds
Patrick J
SAT Math - Part 1
YT 9 minutes 57 seconds
Patrick J
Combinations - Counting Using Combinations, Includes Word Problems
YT 9 minutes 13 seconds
Patrick J
❖ The Binomial Series - Example 2 ❖
YT 10 minutes 35 seconds
Patrick J
Polar Coordinates - The Basics
YT 9 minutes 11 seconds
Patrick J
❖ The Binomial Series ❖
YT 8 minutes 57 seconds
Patrick J
Multiplication and Division of Power Series
YT 10 minutes 47 seconds
Patrick J
Taylor's Inequality
YT 10 minutes 22 seconds
Patrick J
Finding the Greatest Common Factor, GCF
YT 10 minutes 31 seconds
Patrick J
Permutations Made Easy- Counting Using Permutations
YT 8 minutes 35 seconds
Patrick J
Factorials - Evaluating Factorials! Basic Info
YT 10 minutes 12 seconds
Patrick J
Multiplication Principle - Counting Techniques
YT 10 minutes 22 seconds
Patrick J
💧 Making a Rain Gutter 💧
YT 9 minutes 47 seconds
Patrick J
Alternating Series Estimation Theorem
YT 4 minutes 52 seconds
Patrick J
Improper Integral with Infinite Discontinuity at Endpoint
YT 5 minutes 21 seconds
Patrick J
Improper Integral w/ Infinite Discontinuity in the Middle
YT 9 minutes 57 seconds
Patrick J
Improper Integral - More Complicated Example
YT 6 minutes 23 seconds
Patrick J
❖ Improper Integral - Basic Idea and Example ❖
YT 8 minutes 41 seconds
Patrick J
❖ Solving Linear Inequalities Made Easy ❖
YT 6 minutes 12 seconds
Patrick J
Sequences - Examples showing convergence or divergence
YT 2 minutes 53 seconds
Patrick J
❖ Product Rule and Chain Rule Example ❖
YT 10 minutes 14 seconds
Patrick J
Negative Exponents
YT 5 minutes 7 seconds
Patrick J
What is a Limit? Basic Idea of Limits
YT 9 minutes 22 seconds
Patrick J
More Complicated Derivative Examples
YT 9 minutes 7 seconds
Patrick J
Basic Derivative Examples
YT 4 minutes 46 seconds
Patrick J
Basic Chain Rule Problems
YT 4 minutes 48 seconds
Patrick J
Integration by U-Substitution, Definite Integral
YT 5 minutes 54 seconds
Patrick J
U-substitution - Indefinite Integral, Another 2 examples
YT 8 minutes 53 seconds
Patrick J
Limit Comparison Test and Direct Comparison Test
YT 7 minutes 35 seconds
Patrick J
Limit Comparison Test and Direct Comparison Test
YT 6 minutes 2 seconds
Patrick J
Calculating a Limit Involving sin(x)/x as x approaches zero
YT 9 minutes 11 seconds
Patrick J
❖ Calculating a Limit at Infinity with a Radical ❖
YT 8 minutes 51 seconds
Patrick J
Limits at Infinity - Basic Idea and Shortcuts!
YT 4 minutes 9 seconds
Patrick J
❖ Calculating a Limit by Multiplying by a Conjugate ❖
YT 1 minute 50 seconds
Patrick J
Calculating a Limit by Expanding and Simplifying
YT 4 minutes 53 seconds
Patrick J
Calculating a Limit by Getting a Common Denominator
YT 3 minutes 15 seconds
Patrick J
Calculating a Limt By Factoring and Canceling
YT 5 minutes 41 seconds
Patrick J
Absolute Value and Evaluating Numbers
YT 7 minutes 23 seconds
Patrick J
Reading Domain and Range of a Relation From a Graph
YT 7 minutes 46 seconds
Patrick J
Using Implicit Differentiation - Extra Examples
YT 6 minutes 1 second
Patrick J
Alternating Series
YT 10 minutes 40 seconds
Patrick J
Factoring a Number
YT 9 minutes 57 seconds
Patrick J
Geometric Series and the Test for Divergence - Part 1
YT 8 minutes 1 second
Patrick J
❖ Composition of Functions ❖
YT 6 minutes 33 seconds
Patrick J
Fractions - Multiplying and Dividing
YT 7 minutes 36 seconds
Patrick J
Fractions - Adding and Subtracting
YT 9 minutes 4 seconds
Patrick J
L'Hospitals Rule - Indeterminate Powers
YT 7 minutes 5 seconds
Patrick J
L'Hospital's Rule - Indeterminate Differences
YT 5 minutes 45 seconds
Patrick J
L'Hospital's Rule - Indeterminate Products
YT 7 minutes 26 seconds
Patrick J
L'Hospital's Rule and Indeterminate Quotients
YT 10 minutes 25 seconds
Patrick J
Simplifying Square Roots
YT 10 minutes 4 seconds
Patrick J
Evaluating Numbers Raised to Fractional Exponents
YT 10 minutes 21 seconds
Patrick J
Calculating Double Integrals over General Regions
YT 6 minutes 42 seconds
Patrick J
General Chain Rule - Part 2
YT 9 minutes 40 seconds
Patrick J
❖ General Chain Rule And Partial Derivatives ❖
YT 10 minutes 10 seconds
Patrick J
Differentiating and Integrating Power Series
YT 10 minutes 10 seconds
Patrick J
❖ Power Series Representation of Functions ❖
YT 5 minutes 35 seconds
Patrick J
Row Reducing a Matrix - Systems of Linear Equations - Part 2
YT 10 minutes
Patrick J
Row Reducing a Matrix - Systems of Linear Equations - Part 1
YT 9 minutes 57 seconds
Patrick J
❖ LaGrange Multipliers - Finding Maximum or Minimum Values ❖
YT 9 minutes 45 seconds
Patrick J
❖ Taylor and Maclaurin Series - ln(x) ❖
YT 6 minutes 30 seconds
Patrick J
❖ Taylor and Maclaurin Series - Example 1 ❖
YT 10 minutes 4 seconds
Patrick J
❖ U-Substitution - More Complicated Examples ❖
YT 10 minutes
Patrick J
Solving Systems of Equations Using Elimination By Addition
YT 8 minutes 12 seconds
Patrick J
❖ Solving Linear Systems of Equations Using Substitution ❖
YT 8 minutes 46 seconds
Patrick J
❖ Integration by Parts ❖
YT 9 minutes 45 seconds
Patrick J
❖ Finding the Equation of a Tangent Line ❖
YT 9 minutes 47 seconds
Patrick J
❖ Power Series - Finding the Interval of Convergence ❖
YT 7 minutes 38 seconds
Patrick J
❖ Finding a Derivative Using the Definition of a Derivative ❖
YT 9 minutes 24 seconds
Patrick J
Using the Ratio Test to Determine if a Series Converges #2
YT 7 minutes 39 seconds
Patrick J
Ratio Test to Determine if a Series Converges