MHB Exercises with Solutions of Calculus 2

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SUMMARY

This discussion focuses on finding online resources for exercises and solutions related to Calculus 2, particularly for university-level students in Europe. Key recommendations include "Ask Mr. Calculus" for AP Calculus test solutions and "Paul's Online Notes" for comprehensive examples covering various topics such as vectors, partial derivatives, and double integrals. Participants emphasize the importance of specifying topics to better assist in locating relevant materials. The conversation highlights the variability in Calculus 2 curricula across different educational systems.

PREREQUISITES
  • Understanding of Calculus 1 concepts
  • Familiarity with vector functions and parametric equations
  • Knowledge of partial derivatives and their applications
  • Basic comprehension of double and triple integrals
NEXT STEPS
  • Explore "Ask Mr. Calculus" for AP Calculus solutions
  • Visit "Paul's Online Notes" for detailed examples on Calculus II topics
  • Research the "Theorem of Fubini" for double integrals
  • Study the implications of the "Implicit Function Theorem" in multivariable calculus
USEFUL FOR

Students studying Calculus II, educators seeking teaching resources, and anyone looking to enhance their understanding of multivariable calculus concepts.

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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