Looking for free Calculus help?

We have a series of free Calculus Video Lessons from UMKC - The
University of Missouri-Kansas City. The Topics are: Functions,
Limits of a Function, The Derivative of a Function, Some Special
Derivatives, The Derivative Applied, The Integral of a Function and
The Integral Applied.

We also have a series of free Calculus 2 Video Lessons from UNSW -
University of New South Wales, Sydney.

Beginning
Definition of a Function Visualizing Functions: Graphs Domain (& Range) of Functions Some Exercises |
Graphing
Technology Viewing Windows Zooming In or Out Errors in Resolution |

New
Functions From Old Operations on Functions How Operations Affect Function Graphs Functions with Symmetric Graphs Some Exercises |
Families
of Functions The Power Function Family y = x^{p}
The Polynomial Function, and Rational Function Families |

Trigonometry
for Calculus
Right Triangle Trigonometry Trigonometric Graphs Handy Trigonometric Identities Laws of Sine and Cosine Trigonometric Families |
Inverse Functions A Function Inverse to Another Function When do Inverse Functions (& Their Graphs) Exist? Inverse Trigonometric Functions |

Exponential
& Logarithmic Functions
The Exponential Function Family The Logarithmic Function Family Solving Exponential & Logarithmic Equations |

Intuitive
Beginning
A New Tool: The "Limit" Some Limit Examples Two-sided & One-sided Limits Limits that Fail to Exist: When f(x) grows without bound Limits at Infinity: When x grows without bound More Limits that Fail to Exist: Infinity & Infinite Indecision An Exercise on Limits |
The
Algebra of Limits as x ->a
Basic Limits Limits of Sums, Differences, Products, Quotients, & Roots Limits of Polynomial Functions Limits of Rational Functions & the Apparent Appearance of 0/0 Limits of Piecewise-Defined Functions: When One-sided Limits Matter! Some Exercises |

The
Algebra of Limits as x -> +/- inf : End Behavior
Basic Limits Limits of Sums, Differences, Products, Quotients, & Roots Limits of Polynomial Functions: Two End Behaviors Limits of Rational Functions: Three Types of End Behavior Limits of Functions with Radicals Some Exercises Limits of ln(x), ex, and More |
Continuous
Functions
Functions Continuous (or not!) at a Single Point x=cFunctions Continuous on an Interval Properties & Combinations of Continuous Functions The Intermediate Value Theorem & Approximating Roots: f(x) = 0Some Exercises |

Trigonometric
Functions
The 6 Trigonometric Functions: Continuous on Their Domains When Inverses are Continuous Finding a Limit by "Squeezing" Sin(x)/x -> 1 as x -> 0, and Other Limit Tales Some Exercises |

Measuring
Rates of Change Slopes of Tangent Lines One-Dimensional Motion Average Velocity Instantaneous Velocity General Rates of Change Some Exercises |
What is a
Derivative? Definition of the Derived Function: The
"Derivative", & Slopes of Tangent Lines Instantaneous Velocity Functions Differentiable (or not!) at a Single Point Functions Differentiable on an Interval A Function Differentiable at a point is Continuous at that point Other Derivative Notations Some Exercises |

Finding
Derivatives I: Basic Rules
The Power Rule Constant Multiple, Sum, & Difference Rules Notation for Derivatives of Derivatives Some Exercises |
Finding
Derivatives II
The Product Rule The Quotient Rule Some Exercises |

Finding
Derivatives III
The Sine Function The Other Trigonometric Functions Some Applications |
Finding
Derivatives IV
The Chain Rule: Derivatives of Compositions of Functions Generalized Derivative Formulas Some Exercises |

When Rates of
Change are Related
Differentiating Equations to "Relate Rates" A Strategy An Exercise |
More on
Derivatives
Local Linear Approximations of Non-Linear Functions Defining "dx" and "dy" Alone |

Implicit
Differentiation
Functions Defined Implicitly Derivatives of Functions Defined Implicitly The Derivative of Rational Powers of x Some Exercises |
Derivatives
Involving Logarithms
Derivatives of Logarithmic Functions The "Logarithmic Differentiation" Technique The Derivative of Irrational Powers of x Some Exercises |

Derivatives
Involving Inverses
Derivatives of Inverse Functions Derivatives of Exponential Functions Derivatives of Inverse Trigonometric Functions Some Exercises |
Finding
Limits Using Differentiation
Limits of Quotients that appear to be "Indeterminate": The
Rule of L'Hopital Some Examples Finding Other "Indeterminate" Limits |

Analyzing
the Graphs of Functions I
Increasing & Decreasing Functions: The
1st Derivative Applied Functions Concave Up or Concave Down: The 2nd Derivative Applied When Concavity Changes: Inflection Points Logistic Growth Curves: A Brief Look Some Exercises |
Analyzing
the Graphs of Functions II
Local Maximums & Minimums The 1st Derivative Test for Local Maximums & Minimums The 2nd Derivative Test for Local Maximums & Minimums Polynomial Function Graphs Some Exercises |

Analyzing
the Graphs of Functions III
What to Look For in a Graph Rational Function Graphs Functions Whose Graphs have Vertical Tangents or Cusps Some Exercises |
Analyzing
the Graphs of Functions IV
Global Maximums & Minimums Global Extrema on (finite) Closed Intervals Global Extrema on (finite or infinite) Open Intervals When a Single Local Extremum must be Global Some Exercises |

Optimization
Problems
Applied Maximum & Minimum Problems Optimization over a (finite) Closed Interval: Maximizing Area or Volume, Minimizing Cost Optimization over Other Intervals: Minimizing Materials or Distance An Economics Application: Cost, Revenue, Profit, & Marginal Analysis Some Exercises |
Newton's
Method for Approximating Roots of Equations
Development of the Method Strength & Weaknesses of the Method |

The
Mean Value Theorem for Derivatives
A Special Case of the Mean Value Theorem: Rolle's Theorem The (Full) Mean Value Theorem for Derivatives Direct Consequences of This Mean Value Theorem Some Exercises |
One-Dimensional
Motion & the Derivative
Rectilinear Motion Revisited Velocity, Speed, & Acceleration Analyzing a Position Graph An Exercise |

The
Indefinite Integral "Undo-ing" a Derivative:
Antiderivative = Indefinite Integral Finding Antiderivatives The Graphs of Antiderivatives: Integral Curves & the Slope Field Approximation The Antiderivative as Solution of a Differential Equation Some Exercises |
Indefinite
Integration by Substitution
The Substitution Method of Indefinite Integration: A Major
Technique Straightforward Substitutions More Interesting Substitutions Some Exercises |

Area Defined as a Limit
The Sigma Shorthand for Sums Summation Properties & Handy Formulas Definition of Area "Under a Curve" Net "Area" Approximating Area Numerically Some Exercises |
The
Definite Integral
The Definite Integral Defined The Definite Integral of a Continuous Function = Net "Area" Under a Curve Finding Definite Integrals A Note on the Definite Integral of a Discontinuous
FunctionSome Exercises |

The
Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus, Part 1 Definite & Indefinite Integrals Related The Mean Value Theorem for Integrals The Fundamental Theorem of Calculus, Part 2 Differentiation & Integration are Inverse Processes Some Exercises |
One-Dimensional
Motion & the Integral
Position, Velocity, Distance, & Displacement Uniformly Accelerated Motion The Free Fall Motion Model An Exercise |

Definite
Integration by Substitution
Extending the Substitution Method of Integration to Definite
Integrals Some Exercises |

Plane
Area Area Between Two Curves [One Floor, One Ceiling] Area Between Two Curves [One Left, One Right] An Exercise |
Volumes
I
Volumes by Slicing Volumes of Solids of Revolution: Disks Volumes of Solids of Revolution: Washers Some Exercises |

Volumes
II
Volumes of Solids of Revolution: Cylindrical Shells An Exercise |
Length
of a Plane Curve
Finding Arc Lengths Finding Arc Lengths of Parametric Curves |

Average Value of a Function Average (Mean) Value of a Continuous Function |
Work
Work Done by a Constant Force Work Done by a Variable Force Do-It-Yourself Integrals: Pumping Fluids Work as Change in Kinetic Energy An Exercise |

Surfaces and Partial Derivatives Tangent plane and error estimation | Chain rule for functions of two variables |

Integrals
of trig functions and reduction formulae Integration
by trig substitution and partial fractions Integration + Partial Fractions Integration via rationalizing substitutions and other substitutions |
Partial
derivatives and integration Introduction to Separable
Differential Equations Linear and Exact Differential Equations |

How to solve 2nd order differential equations? |
What is a
Taylor polynomial? Sequences and their limits Introduction to series + the integral test Integration and differential equations |

Series,
comparison + ratio tests Alternating series and
absolute convergence What is a Taylor series? What is a Power series? |
Arc
length + average value of a function Surface area of
revolution of functions Calculus revision lecture |

Hydrostatic Force | More Free Videos on Calculus |

Functions, Operations on Functions,

Polynomial and Rational Functions,

Exponential and Logarithmic Functions,

Sequences and Series,

Evaluating Limits, Derivatives,

Applications of Differentiation,

Integrals, Applications of Integration,

Techniques of Integration,

Parametric Equations and Polar Coordinates

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