Online Calculus I Tutor
Your Calculus I Tutor is Right Around the Corner
Is the Tutorzilla Calculus I Tutor really just right around the corner? The answer is "yes" if your corner consists of a computer with an internet connection. How about that! And not only is the tutor close, but your first Calculus 1 session is FREE! It must put a smile on your face knowing that No Credit Card is Required. We have so much faith in our Calculus 1 tutoring that the first session is free. Want to get started? This is what you need to do to get help in Calculus I:
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Create an account: You will be asked to list some basic information so that your tutor knows what time zone you are in, along with some other important information that is required for your session, and from there you can access our full Tutoring Services. You can create your account by clicking HERE.
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Reserving your Calculus 1 Session: Reserving your session is done by locating the Scheduler, which is found on your Account page. Then you set the date and time that you want your session to be. Now you can rest easy knowing that help is on the way!
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Meeting up with your Calculus I Tutor online: The day of your tutoring session, just look for the session manager, (it's also on your account page). From there just click the start session button, and your tutor will be there along with the virtual whiteboard to walk through problems with you!
These are all very basic steps for getting help. Tutorzilla Calculus I Tutors are always available! All you have to do is simply create an account and you are on your way...
Overview of Calculus I
The history of calculus spans more the 3800 years. From an ancient Egyptian working out the volume of a pyramidal frustrum, to Archimedes expanding on the method of exhaustion, to Leibniz and Newton developing the fundamental theorem of calculus, this area of mathematics has contributors through ancient, medieval, and modern ages and throughout the world. Calculus has captured the imagination of many great thinkers through the centuries, and it is a fascinating study! With an exceptional Calculus 1 tutor, you can explore the concepts of Limits, Continuity, Theorems, Derivatives, L'Hôpital's Rule, and Inverse Trig Functions.
Limits
A "limit" is used to determine the value of a function as it gets arbitrarily close to a point. We use limits in calculus to understand what derivatives are and how they function. Sometimes a limit does not exist if it does not approach the same number from the left and the right side of the function. To express a limit mathematically, we use the form:
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Continuity
Continuity further explores the concept of limits. For general functions, we can tell immediately if they are continuous or not at a given point. However, we still need a mathematical definition to describe continuity. A function is continuous at c if and only if at the limit as x approaches c of the f (x) = f (c). We use the concept of continuity in calculus to determine limits and derivatives.
Theorems
You will explore many theorems in Calculus 1, but two of the most important theorems that we learn about are the Extreme Value Theorem and the Intermediate Value Theorem. The Intermediate Value Theorem can help us determine a third point if a function is continuous between two points [a,b]. More importantly it also helps us to determine if a function has roots, or more commonly called "zeros". The Extreme Value Theorem allows us to determine maximums and minimums for a given function. These theorems are useful to us, but it is important to remember they can only be used with continuous functions.
Derivatives
In calculus, the derivative is the instantaneous rate of change at a given point. Derivatives are a very useful part of calculus, with concepts that overlap into physics. For example, we can use derivatives to find acceleration and velocity of a car, or the distance a car has traveled.
For a given function, we can draw a tangent line through the function and determine the slope of the tangent line where it hits the function, and that is our derivative.
In derivatives, there are a variety of rules, including the Product, Quotient, and Chain rule. There are also many other rules we learn while diving into derivatives. Our online calculus tutoring can help you understand all the rules and how to apply them.
L’Hôpital’s Rule
This is rule named after mathematician Guillaume de L'Hôpital, and it is another case where we can use the concepts from limits. We can only use this rule in certain cases, including 0/0,.png){kind=small}
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. L'Hôpital's rule is an easier way for finding the limit or derivative of a function than previous concepts.
Inverse Trigonometry Functions
Did you think you could leave trigonometry behind and skip on your merry way into Calculus studies? Think again. In Calculus 1, we further study trigonometry concepts with inverse trig functions. We will learn what the derivatives are of inverse trigonometry functions, and we also learn how to find them algebraically. If you missed some of the trig concepts, we have a great online Trig tutor to help you catch up.
Does it seem as if this page has been written in a foreign language you've never spoken? Is that about how clear Calculus I is for you? That's why Tutorzilla is here! We have great Calculus 1 tutoring available to you 24 hours a day, 7 days a week so that you can always get the help you need. Create an account today, and your private calculus tutor can teach you how to speak Calculus I with the best of them!
Once you've conquered Calculus I, you are ready to expand your bright mind and leap over to an online Calculus II tutor.
