THE CALCULUS TUTOR SERIES: LEARNING BY EXAMPLE
Calculus essentially takes the fundamentals of algebra and extends them to include rates of change between quantities. Calculus is extremely powerful and very useful in the study of Science and Engineering, motion of bodies, fluid mechanics, electricity, magnetism, and is the foundation for nearly all branches of science.
The Calculus Tutor Series is a complete 17 lesson series covering all of the core topics in detail. What sets this series apart from other calculus teaching tools is that the concepts are taught entirely through step-by-step example problems of increasing difficulty. It works by introducing each new concept in an easy to understand way and using example problems that are worked out step-by-step and line-by-line to completion. If a student has a problem with coursework or homework, simply find a similar problem fully worked on in the series and review for the steps needed to solve the problem.
Students will be able to work problems with ease, improve their problem-solving skills and understand the underlying concepts of Calculus.
Host, Jason holds M.S. degrees in Electrical Engineering and Physics from the University of Texas. He has been teaching Math Tutor programs since 2004, with his proven methods of helping students understand basic math and physics principles step-by-step, using practical examples.
Teachers User Instruction & Resource Guide available on our website at www.tmwmedia.com. Resource Guide - Includes Recommended books & Physics Websites.
Resource Guide - Includes Recommended books & Physics Websites.
Grade Level 9 - College.
Accelerate Your Math Skills with this Award-Winning Series!
“The instruction is very clear. Each program breaks down problems in a way that you can easily understand. Highly recommended.”
This series is best used in order from Volume 1 through Volume 17.
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What Is a Derivative?
This lesson conceptually introduces the concept of the derivative, which is one of the central topics in Calculus. The derivative is introduced by way of a discussion of real-world experience with position, velocity, and acceleration in everyday life. The position, velocity, and acceleration graphs are drawn to illustrate the point and numerous example problems are worked to reinforce the material.
29 min.
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KA8585DVD
$ 39.95
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The Derivative Defined As a Limit
This lesson begins with introducing the concept, a limit in Calculus. This concept of the limit is then used to present the formal mathematical definition of the derivative. This limit-based definition of the derivative is used to solve several problems that allow the student to gain practice in finding derivates of functions.
26 min.
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KA8586DVD
$ 39.95
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Differentiation Formulas
This lesson continues the discussion of the derivative by presenting several differentiation formulas that are necessary to master the concepts. Students are taught how to take derivatives of functions containing a constant, polynomial functions, and functions that are added, subtracted, multiplied, and divided by one another. Numerous example problems are worked to illustrate the material.
39 min.
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KA8587DVD
$ 39.95
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Derivatives Of Trigonometric Functions
This lesson teaches students how to take derivatives of the trigonometric functions. Derivatives of sine, cosine, tangent, cotangent, secant, and cosecant are covered. In addition, several memory aids are introduced to help the student remember the relationship between these trigonometric functions. Numerous problems are worked to give the student practice with these types of problems.
39 min.
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KA8588DVD
$ 39.95
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The Chain Rule
Teaches students how to use the chain rule of calculus to take derivatives of more complex functions. The chain rule is useful when the problem contains functions that are nested within one another. This is known as a composite function. Several problems are worked to reinforce the proper use of the chain rule.
32 min.
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KA8589DVD
$ 39.95
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Higher Order Derivatives
This lesson introduces the concepts associated with higher order derivatives in Calculus. Many real-world examples are given which require the use of higher order derivatives in everyday life. Students are given practice in calculating the first, second, third, and forth derivative of several functions.
19 min.
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KA8590DVD
$ 39.95
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Related Rates
This lesson teaches students how to solve related rates problems in Calculus. These types of problems are usually word problems that involve two or more quantities that are changing with respect to one another. The student is shown how to extract the relevant information from the problem, set the problem up, and apply the rules of Calculus to solve the problems.
35 min.
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KA8591DVD
$ 39.95
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Curve Sketching Using Derivatives
This lesson teaches students how to sketch curves using the rules of Calculus and the properties of derivatives. Numerous examples are worked and reinforce the concepts associated with using the sign of the derivative to predict the shape of the curve in question..
29 min.
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KA8592DVD
$ 39.95
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Introduction To Integrals
This lesson introduces one of the central topics in Calculus known as the integral. The integral is introduced as the opposite of the derivative and this property is used to solve several integrals to reinforce the concept. The difference between indefinite and definite integrals is presented to the student, and The Fundamental Theorem of Calculus is used to solve several definite integrals.
28 min.
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KA8593DVD
$ 39.95
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Solving Integrals
This lesson teaches students the techniques of integration associated with integrating polynomials and trigonometric functions. The fundamental theorem of calculus is used to solve definite integrals of these types in a step-by-step fashion. The problems are sequenced in increasing difficulty to promote understanding of these topics.
32 min.
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KA8594DVD
$ 39.95
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Integration By Substitution
This lesson teaches students the powerful technique of integration known as integration by substitution. The student is taught how to choose the proper substitution to make in the integral, set up the transformed integral accordingly, and carry out the integration to arrive at the answer. Many problems are worked to reinforce this concept.
47 min.
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KA8595DVD
$ 39.95
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Calculating Volume With Integrals
This lesson teaches students how to apply the concept of the integral in order to calculate the volume of an object. Problems of this type involve a function that is revolved around the x-axis to make a three dimensional shape. The goal is to find the volume of this shape. The student is taught how to set up the problem and solve the integrals accordingly.
18 min.
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KA8596DVD
$ 39.95
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Derivatives and Integrals Of Exponentials
This lesson teaches students how to take derivatives of functions that involve an exponential and how to solve integrals that involve exponentials. Teaches how to set up the problems properly, choose the proper substitution for the integrals, and carry out the operations. Many problems are worked to reinforce this material..
28 min.
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KA8597DVD
$ 39.95
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Derivatives Of Logarithms
This lesson teaches students how to solve integrals and take derivatives of functions that involve a logarithm. Many problems are worked in step-by-step detail in order to illustrate the concepts and provide practice for the student..
28 min.
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KA8598DVD
$ 39.95
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Integration By Parts
This lesson introduces students to the technique of integration known as integration by parts. The student is taught how to recognize when a problem could be solved using this technique of integration. A detailed explanation of how to choose the proper substitution is provided to the student, along with many example problems to reinforce the concepts.
29 min.
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KA8599DVD
$ 39.95
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Integration By Trig Substitution
This lesson teaches students how to use trigonometric substitutions to solve integrals. Many examples are provided that teach how to recognize these integrals, set up the substitution properly, and carry out the integration. In addition, the relevant trigonometric identities are reviewed which are of help in these problems.
23 min.
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KA8600DVD
$ 39.95
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Improper Integrals
This lesson introduces the concept of the improper integral. These types of integrals have one or more limits of the integration occur at infinity. Many problems are solved that teach the student how to properly solve integrals of this type.
14 min.
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KA8601DVD
$ 39.95
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