Exercises with Solutions of Calculus 2

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Discussion Overview

The discussion revolves around finding online resources for exercises and solutions related to Calculus 2. Participants share various websites and resources, while also clarifying the topics of interest and the differences in curriculum across regions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests online resources for Calculus 2 exercises with solutions.
  • Another participant suggests a specific website, Ask Mr. Calculus, which provides AP Calculus questions and solutions.
  • A participant notes the importance of specifying topics, as the curriculum for Calculus 2 can vary significantly, especially for international users.
  • Several participants list specific topics they are interested in, including vectors, functions of many variables, partial derivatives, and integrals.
  • One participant mentions Paul’s Online Notes as a useful resource for problems and solutions in Calculus II.
  • Another participant suggests that some topics listed may extend into Calculus 3, indicating potential overlap in content.
  • There are suggestions to move the discussion to a chat forum, as it is more general rather than focused on a specific problem.
  • A link to a thread about books rather than online materials is shared, which may still be relevant.

Areas of Agreement / Disagreement

Participants generally agree on the need for specific resources and the importance of clarifying topics. However, there is no consensus on a single resource or approach, as multiple suggestions and opinions are presented.

Contextual Notes

Participants express varying levels of familiarity with the curriculum and resources, indicating that the discussion is influenced by individual educational backgrounds and regional differences in calculus education.

evinda
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Hello everybody!Could you tell me where I can find exercises with solutions of Calculus 2 online?Thanks! :rolleyes:
 
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Re: Calculus 2!

I am assuming you are from the US since you are talking about Calculus 2. Is that correct? For our international users, it might be better to explicitly list out the topics for which you are seeking help. Not everyone will be familiar with our system and further more, the curriculum for Calc II at various US colleges can vary tremendously. Let us have more details so we can help you more. :)
 
Re: Calculus 2

No,I am studying at a university in Europe...
The topics I am seeking for are the following:
>Vectors. Parametric equation of curve. Polar coordinates.
>Vector functions. Curves in space. Tangent line. Arc length.
>Functions of many variables. Graphs, surfaces. Contour lines and surfaces. Equation of plane.
>Limit and continuity for functions of many variables.
>Partial derivatives, differentiability, tangent plane.
>Gradient, chain rule derivation, Directional derivatives. Partial derivatives of higher order.
>Maxima and minima of functions of two or more variables. Minimize conditional.
>Implicit functions, theorem of implicit functions, theorem of reverse imaging.
>Double integrals, double integrals over general passages. Changing the order of integration. Theorem of Fubini.
>Change of variables for double integrals.
>Triple integrals.
 
Re: Calculus 2

evinda said:
No,I am studying at a university in Europe...

Not trying to offend you, haha. The list of topics you wrote looks great and I think you it'll be much easier to try to show you material now that will be useful.
 
Re: Calculus 2

evinda said:
No,I am studying at a university in Europe...
The topics I am seeking for are the following:
>Vectors. Parametric equation of curve. Polar coordinates.
>Vector functions. Curves in space. Tangent line. Arc length.
>Functions of many variables. Graphs, surfaces. Contour lines and surfaces. Equation of plane.
>Limit and continuity for functions of many variables.
>Partial derivatives, differentiability, tangent plane.
>Gradient, chain rule derivation, Directional derivatives. Partial derivatives of higher order.
>Maxima and minima of functions of two or more variables. Minimize conditional.
>Implicit functions, theorem of implicit functions, theorem of reverse imaging.
>Double integrals, double integrals over general passages. Changing the order of integration. Theorem of Fubini.
>Change of variables for double integrals.
>Triple integrals.
I still don't understand why I had like 50-70% of what you type in my calculus 1 but here is a good site who show some problem and how to solve it
Pauls Online Notes : Calculus II

Regards,
$$|\pi\rangle$$
 
Re: Calculus 2

I suggest moving the topic to the chat forum .
 
Re: Calculus 2

It sounds to me that some of the things that you described in your list may extend into calculus 3. I have not taken calculus 3 yet (Spring semester this coming school year ;) ) But another site I went to for calculus 2 practice was a place called Paul's Notes in the link below. He has plenty of examples for you to look at, and it appears he has most of your list on his site:

Pauls Online Notes : Calculus III (Look at sidebar on left side of page)

Hope you find this helpful!(Cool)EDIT: Wow, Petrus and I had the same brainwave!(Bigsmile)
 
Re: Calculus 2

Nice!Thank you very much! :p
 
  • #10
Re: Calculus 2

ZaidAlyafey said:
I suggest moving the topic to the chat forum .

I have moved the topic as suggested, as this topic isn't dealing with a specific problem or concept, but is rather a more general discussion better suited for this sub-forum.
 
  • #11
Re: Calculus 2

https://driven2services.com/staging/mh/index.php?threads/4275/ is about books rather than online materials, but it can be useful.
 

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