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Calculus Resource Page
 
   

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Welcome to the Guaranteach Calculus Resource page!

Here you can get access to some of our best Calculus videos! Scroll down or pick a category below to find dozens of short video lessons available immediately. Please create an account to view these lessons.
 
What kind of Calculus help do you need?
 
  Limits (17 lessons, 101 videos)
  Introduction to Integrals (7 lessons, 47 videos)
  Applications of Differentiation (24 lessons, 143 videos)
  Derivatives (15 lessons, 92 videos)
  Indefinite Integrals (16 lessons, 95 videos)
 
 Limits (17 lessons, 101 videos)

Limits
 (5 videos)

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In this lesson, the concept of a limit of a function is introduced. Students should already be familiar with the domain and range of a function. (1:58)
Convergence at a Limit
 (5 videos)

Play
This lesson explains how the left and right limits for a value of the domain of a function relate to the concept of convergence. Understanding of left and right limits is essential. (3:27)
Substitution Method for Limits
 (5 videos)

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This lesson explains that the most straightforward way to determine a limit at a given point is simply to evaluate the function at that point. This is part of a group of lessons that explain different ways of finding limits. (2:41)
Extreme Value Theorem
 (5 videos)

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This lesson explores and defines the Extreme Value Theorem and connects this theorem to Calculus and taking limits. This will be useful for analyzing continuous intervals of functions. (4:14)
 
Other lessons in this section: Limits from the Left (5 videos) , Limits from the Right (5 videos) , Diverging Limits (5 videos) , Differing Limits in a Function (6 videos) , Intermediate Value Theorem (5 videos) , Taking a Limit from the Left (9 videos) , Taking a Limit from the Right (7 videos) , Recognizing a Converging Limit (7 videos) , Recognizing a Diverging Limit (7 videos) , Finding a Limit Through Substitution (7 videos) , Demonstrating Different Limits (8 videos) , Limits and Derivatives (4 videos) , Choosing the Correct Method of Integration (6 videos)
 Introduction to Integrals (7 lessons, 47 videos)

Integrals
 (7 videos)

Play
This lesson describes the two functions of an integral. It expands the concept of Riemann sums to an infinite amount of rectangles. (4:31)
First Fundamnetal Theorem of Calculus
 (5 videos)

Play
This lesson introduces the idea that integration can undo differentiation without altering the original function. Students should already be familiar with the concept that integration and differentiation are inverse processes. (1:31)
Computing a Middle Riemann Sum
 (7 videos)

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Given an interval of a function, this lesson shows how to use a middle Riemann sum to approximate the area under the function. This is just one method of approximating areas using Riemann sums. (1:52)
Taking the Integral of a Derivative
 (7 videos)

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This lesson demonstrates how the integral of the derivative of a function compares with the original function. The concepts of derivatives and integrals should already be familiar. (1:43)
 
Other lessons in this section: Finding a Right Riemann Sum (7 videos) , Computing a Trapezoidal Riemann Sum (7 videos) , Taking the Derivative of Integral (7 videos)
 Applications of Differentiation (24 lessons, 143 videos)

Inflection
 (5 videos)

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This lesson introduces the concept of the inflection point and explains how it is related to the second derivative and shape of a function. Understanding of derivatives is required. (2:28)
Interval Charts
 (5 videos)

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A way of presenting information about the behavior of a function over adjacent intervals is introduced here. Students should be familiar with the concepts of intervals and critical points. (3:41)
Extrema
 (5 videos)

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This lesson explains what the extrema of a function are and how they relate to derivatives. Students should be familiar with the concept of a derivative and its relationship to the slope of a tangent. (1:53)
Finding Inflection Points
 (9 videos)

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Locating inflection points on a graph and using them to interpret the shape of the graph are demonstrate here. This can be useful when graphing curvy functions. (2:48)
 
Other lessons in this section: Critical Number Types (5 videos) , Differentiation and Critical Numbers (0 videos) , Derivatives and Function Intervals (5 videos) , Decreasing and Increasing Intervals (5 videos) , Endpoint Extrema (5 videos) , Relative Extrema (5 videos) , Concavity (5 videos) , Determining the Critical Numbers of a Function (7 videos) , Determining the Direction on an Interval (7 videos) , Finding the Intervals of a Function (7 videos) , Choosing a Test Number (8 videos) , Determining the Sign of a Test Number (7 videos) , Graphing Intervals (7 videos) , Finding Extrema on an Interval (5 videos) , Graphing Extrema (7 videos)
 Derivatives (15 lessons, 92 videos)

Tangents
 (5 videos)

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The concept introduced here is the tangent of a function at a point, as well as its relation to secants and derivatives. Understanding of slope is required. (2:16)
Secant Lines
 (5 videos)

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The concept of a secant line being formed based on two points on a function is introduced here. This concept will be used to explain tangents and derivatives. (2:18)
Derivative Notations
 (5 videos)

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Different ways to notate the same derivative are discussed here. These will be used in equations involving derivatives. (4:56)
Factoring to Find a Derivative
 (7 videos)

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Finding the derivative of a function at some point, when initial substitution gives an indeterminate value, is demonstrated here. Students should already know how to factor and how to substitutes values into an equation. (3:48)
 
Other lessons in this section: Derivative and Slope (7 videos) , Differentiation and Continuity (5 videos) , Applications of Derivatives (5 videos) , First Form of a Derivative (5 videos) , Second Form of a Derivative (5 videos) , Taking the Derivative Form One (7 videos) , Taking the Derivative Form Two (7 videos) , Determining the Equation of a Tangent Line (7 videos) , Finding a Horizontal Tangent (7 videos) , Finding a Vertical Tangent (7 videos) , Taking the Derivative of a Radical Function (8 videos)
 Indefinite Integrals (16 lessons, 95 videos)

Taking the Integral of a Function
 (5 videos)

Play
This lesson shows that not all functions have anti-derivatives but those that do follow certain rules. Students should already be familiar with the concepts of integration and differentiation. (1:29)
Taking the Integral of a Constant
 (8 videos)

Play
In this lesson specific examples of how to take the integral of a constant are shown. This is part of a series of lessons that demonstrate how to integrate different types of expressions. (3:24)
Taking the Integral of a Power
 (8 videos)

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Specific examples of how to take the integral of a variable raised to a power are shown here. This is part of a series of lessons that demonstrate how to integrate different types of expressions. (1:48)
Taking the Integral of a Polynomial
 (9 videos)

Play
Specific examples of how to take the integral of a polynomial are shown here. This is part of a series of lessons that demonstrate how to integrate different types of expressions. (2:45)
 
Other lessons in this section: Indefinite Integrals (0 videos) , The Indefinite Integral (5 videos) , Integrals and Powers (5 videos) , Integrals and Constants (5 videos) , Integrals with Addition or Subtraction (5 videos) , Integral of an Exponential Function (5 videos) , Trigonometric Integrals (5 videos) , Integral of a Polynomial (6 videos) , Taking the Integral of a Sum (7 videos) , Taking the Integral of a Difference (7 videos) , Taking the Integral of Sine and Cosine (8 videos) , Taking the Integral of an Exponential Function (7 videos)
 
 
 
  Practice Worksheets

  
  Sometimes doing is the best way to learn. Find practice worksheets below with videos of step-by-step explanations & solutions.

  
 
PRACTICE WITH LIMITS.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
PRACTICE WITH DERIVATIVES.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
PRACTICE WITH INTEGRALS.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
PRACTICE WITH INDEFINITE INTEGRALS.PDF
Answer 1 Answer 2 Answer 3 Answer 4 Answer 5 Answer 6 Answer 7 Answer 8 Answer 9 Answer 10
 
 
 
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