Just Math Tutoring The Best Austin Math Tutor! Free Math Videos!
TRIGONOMETRIC TOPICS
Converting from Degrees to Radians and from Radians to Degrees, and Finding these Angles on the Unit Circle
More examples of Converting from Degrees to Radians and from Radians to Degrees
The Sine and Cosine Function - Evaluating Sine and Cosine at different Radian measures
The Other Trig functions - Tangent, Cotangent, Secant, Cosecant and evaluating these trigonometric functions at radian measures
Solving Trigonometric Equations
The Trigonometric Functions and Right Triangle
A 'Trick' to Remember Values in Quadrant 1 of the Unit Circle
A Way To Remember the ENTIRE Unit CircleDeriving Many Important Trigonometric Identities from only a Few Known Identities
Proving Trigonometric Identities - Random Examples
The Pythagorean Theorem
CALCULUS TOPICS
Limits
Basic Limit Information
Calculating Limits by Factoring and Cancelling
Calculating Limits by Getting Common Denominators
Calculating Limits by Expanding and Cancelling
Calculating Limits by Multiplying by a Conjugate
Calculating Limits by using: limit x--> 0 [sin(x)/x] = 1The Squeeze Theorem For Limits
Limits at Infinity (See also Improper Integrals for More Examples!)
Basic Limit at Infinity Example and 'Shortcut' Information
Limit at Infinity Example with Radicals Present - Two Examples
Continuity
Continuity - Basic Idea and Types of Discontinuities Continuity - Examples of Finding Discontinuities of Piecewise Functions
Derivatives
Basic Derivative Formulas
Basic Derivative Examples
Finding the Equation of a Tangent Line
Find the Linearization at a PointFinding the Derivative Using the Definition of the Derivative
Derivatives Using the Product Rule
More Examples Using the Product Rule
Derivatives Using the Quotient Rule
More Examples Using the Quotient Rule
Derivatives Using the Chain Rule
More Chain Rule Examples
Chain Rule - Harder Example # 1
Chain Rule - Harder Example # 2
Chain Rule - Harder Example # 3
More Complicated Derivative Examples
More Complicated Derivative Examples - Part 2
Using the Product and Chain Rule to Find a Derivative - Then Factoring and Simplifying
Derivatives Using Implicit Differentiation
Derivatives Using Implicit Differentiation - More Examples #1
Derivatives Using Implicit Differentiation - More Examles #2
Related Rates Problems and Implicit Differentiation
Related Rates Involving a Cone
Related Rates - A point moving on a graph
Related Rates - With Trigonometry
Related Rates - Baseball Diamond ExampleLogarithmic Differentiation - Basic Idea and Example
Logarithmic Differentiation Example 2
Derivatives Involving Logarithmic Functions - ln(x), log (x), etc.
Properties of Logarithms - Logarithmic Functions (algebra stuff!!)
Derivatives involving Exponential Functions - e^x, a^x, etc
Derivatives Involving Inverse Trigonometric Functions
Inverse Trigonometric Derivative Example 1
Inverse Trigonometric Derivative Example 2Inverse Trigonometric Derivative Example 3More Examples Involving Inverse Trig FunctionsFinding Partial Derivatives
The General Chain Rule - Part 1
The General Chain Rule - Part 2
Newtons Method
Where a Function is Increasing and Decreasing , Finding Local Maximums and Local Minimums
What does it mean for a function to be increasing/decreasing? What is a local maximum and a local minimum? Basic Idea
Finding Critical Numbers - Example 1
Finding Critical Numbers - Example 2Using the First Derivative to find where a funtion is increasing/decreasing and where the local maximums and minimums occur- 2 basic examples
Using the First Derivative to find where a funtion is increasing/decreasing and where the local maximums and minimums occur - Harder Example
Lagrange Multipliers - Finding Maximums or MinimumsUsing the Second Derivative to Find Local Maximums and Local Minimums
Using the Second Derivative to Find Where a Function is Concave Up/Concave Down
Optimization Problem #1
Optimization Problem #2
Optimization Problem #3Finding Local Maximums, Local Minimums and Saddle Points - Example 1
Finding Local Maximums, Local Minimums and Saddle Points - Example 2
Curve Sketching Using Calculus - Part 1 of 2
Curve Sketching Using Calculus - Part 2 of 2
Limits - L'Hospital's Rule
Indeterminate Quotients - Basic Idea and Examples
Indeterminate Products - Basic Idea and Examples
Indeterminate Differences - Basic Idea and Examples
Indeterminate Powers - Basic Idea and Examples
Integration Techniques / Antiderivatives
Summation Notation
The Definite Integral - Understanding the Definition
Approximating a Definite Integral Using Rectangles
Basic Integration Formulas
- turn down your volume, I was too close to the mic! : )
Basic Antiderivate Examples
- Indefinite Integral
More Basic Integration Problems
Basic Definite Integral Example
Indefinite Integral - U-substitution
Definite Integral - U-substitution
More Integration Using U-Substitution
More Complicated U-Substitution Problems
Integration Involving Inverse Trigonometric Functions
Integration By Parts - Indefinite Integral
Integration By Parts - Definite Integral
More Integration By Parts Examples
Using Integration Parts Twice
Using 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
Trigonometric Substitution - Example 1 Part 1 (the last part is cut off, but finished in the next video!
Trigonometric Substituion - Example 1 Part 2
Trigonometric Substitution - Example 2
Trigonometric Substitution - Example 3 Part 1
Trigonometric Substitution - Example 3 Part 2
Partial Fractions - The Different Types of Partial Fraction Decompositions / How to Decompose a Rational Function
Partial Fractions - How to Determine the Coefficients of a Partial Fraction Decomposition
A Complete Partial Fractions Problem
A Complete Partial Fractions Problem Using a Rationalizing SubstitutionCalculating Double Integrals Over Rectangular Regions
Calculating Double Integrals Over General Regions
Double Integral using Polar Coordinates - Part 1
Double Integral using Polar Coordinates - Part 2
Double Integral using Polar Coordinates - Part 3Evaluating a Triple Integral
Evaluating a Triple Integral in Spherical CoordinatesLine Integrals - Evaluating a Line IntegralUsing Integration to Solve First Order Linear Differential Equations
Finding Centroids/Centers of Mass - Part 1
Finding Centroids/Centers of Mass - Part 2Improper Integrals
Basic Improper Integral Examples and Information
Example of a More Complicated Improper Integral using L'Hospitals Rule
Improper Integral Example with Infinity in the Upper and Lower Limit
Improper Integral with an Infinite Discontinuity at an Endpoint
Improper Integral with an Infinite Discontinuity in the Middle of the Interval
Volumes of Revolution
Calculating Volumes of Revolution using the Disk/Washer Method - Rotating Regions about a Horizontal Line (for ex., the X-axis)
Calculating Volumes of Revolution using the Disk/Washer Method - Rotating Regions about a Vertical Line (for ex., the Y-axis)
Calculating Volumes of Revolution Using the Disk/Washer Method
Work Problems
Finding the Work To Empty a Tank Full of Water
Polar Coordinates / Parametric Curves
Polar Coordinates - The Basics
Polar Coordinates - Basic Graphing
Parametric Curves - Basic Graphing
Parametric Functions - Finding First Derivatives
Parametric Functions - Finding Second Derivatives
Parametric Curves - Calculating Areas
Graphing a Polar Curve - Part 1
Graphing a Polar Curve - Part 2
Arc Length /Surface Area
Arc Length
Finding Surface Area - Part 1 of 2
Finding Surface Area - Part 2 of 2
Sequences and Series
What is a Sequence? Examples Showing Convergence or Divergence
More Examples of Showing Sequences Converging or Diverging
What is a Series? Discusses Geometric Series and the Test for Divergence
More Examples of Geometric Series and the Test for Divergence (Part 1)
Part 2 of the Above Video That Got Cut Off! (Part 2)
Telescoping Series
Showing A Series Diverges - Using Partial SumsBasic Idea of the Integral Test for Series
Example 1 using the Integral Test for Series
Example 2 using the Integral Test for Series
Example 3 Using the Integral Test for Series Basic Idea of the Limit Comparison Test and Direct Comparison Test for Series
Two Basic Examples: One using the Direct Comparison Test, One using the Limit Comparison Test
More Examples using the Direct Comparison Test and the Limit Comparison Test
Alternating Series, Basic Idea and Example
More Alternating Series Examples
Using The Alternating Series Estimation Theorem
Ratio Test to Determine if a Series Converges - Example 1
Ratio Test to Determine if a Series Converges - Example 2
Root Test for SeriesPower Series for Functions by Manipulating the Power Series Representation for 1/(1-x)
Power Series - Finding the Interval of ConvergenceDifferentiating and Integrating Power Series to Derive New Power Series Expressions
Multiplying and Dividing Power SeriesTaylor and MacLaurin Series - Example 1
Taylor and MacLaurin Series - Example 2
Taylor's Remainder Theorem aka Taylor's Inequality
The Binomial Series - Example 1
The Binomial Series - Example 2 - There is a small mistake at the very end! The power should be (2n+1)
Differential Equations
Solving Separable First Order Differential Equations
Solving First Order Linear Differential Equations (there is a small mistake that is noted during the video)
Solving Exact Differential EquationsHomogeneous Second Order Linear Differential Equations
Vectors
Finding the Magnitude or Length of a Vector
Calculating the Dot Product Between Two Vectors
Cross Product - Finding the Cross Product of Two Vectors
Torque - An Application of the Cross Product
ALGEBRA TOPICS
Fractions
Adding and Subtracting Fractions
Adding and Subtracting PolynomialsMultiplying and Dividing Fractions
Negative Numbers
Factoring Numbers
Absolute Value
Radical Notation -What Radical Notation Means, Simplifying Radicals, and Converting Fractional Exponents to Radical Notation
Finding the Least Common Multiple, LCMFinding the Greatest Common Factor, GCF
Rationalizing the Denominator of a Fraction - A few basic examples
Rationalizing the Denominator of a Fraction - A harder exampleGraphing
Graphing Linear Functions by Finding X and Y Intercepts
Graphing Piecewise Defined Functions
Finding the Slope between Two Points
Need a Math Tutor? Online experts can help you get your Math questions answered! Finding the Equation of a Line Using Point-Slope Form
Finding the Domain and Range of the Above Piecewise Defined Function
Finding the Formula of a Piecewise Defined Function from a Graph
A quick sketch of about 10 basic graphs you should know!
Graphing the Great Integer Function also known as the Floor FunctionGraph Transformations - Horizontal and Vertical shifts
Graph Transformations - Basic Formulas and Vertical Stretching/Compressing is Discussed
Graph Transformations - Horizontal and Vertical Stretching/Compressing is Discussed
Graph Transformations - Reflections about the X - Axis and Y-Axis are discussed - Basic Idea!
Graph Transformations - Putting it All Together!! Example 1
Graph Transformations - Putting it All Together!! Example 2
Graphing Linear Systems of Inequalities - Example 1
Graphing Linear Systems of Inequalities - Example 2
Finding the Equation of an Exponential Function from a GraphRandom Topics
The Basic Rules
Negative Exponents and Fractional Exponents
Evaluating Numbers Raised to Fractional Exponents
Simplifying Numbers Under Square Roots
Factoring Polynomials(*)
- Basic Factoring (*)
- Quadratics (*)
Function Notation
Adding and Subtraction Functions
Multplying and Dividing Functions
Composition of Functions
Domain and Range - Basic Idea - Reading the Domain and Range from Two Graphs
Long Division of Polynomials
Long Division of Polynomials - Slightly Harder Example
Synthetic Division - Example 1
Synthetic Division - Example 2
Finding the Domain of a Function (not from a graph)
Intermediate Value Theorem
The Pythagorean Theorem
Complex Numbers - Graphing, Adding and Subtracting\
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