Advanced Calculus Problem Solving Websites

In summary, the conversation discusses the search for websites that can provide help with advanced calculus topics such as Fourier series, linear algebra, abstract algebra, differential geometry, finite element analysis, and complex variables. However, it is pointed out that most of these topics are not actually part of advanced calculus, which mainly focuses on partial derivatives, multiple integrals, the Jacobian, and series. The mention of the binomial expansion leads to a discussion of other related topics such as Taylor series and convergence. It is also noted that some of the mentioned topics, like linear algebra, are standalone subjects. While the speaker does not know of any websites that explain advanced calculus well, they suggest using Google to search for PDF files, which can be helpful and often
  • #1
hawaiidude
41
0
does anyone know any"good" websites where i can find and solve problems for advanced calculus...such as Fourier series, linear algebra, absract algebra, differential geometry, finite element analysis and complex variables, etc?
 
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  • #2
and the binomial expansion thing
 
  • #3
Hate to tell you this, but most of those topics aren't part of advanced calculus. That contains partial derivatives and multiple inegrals, the Jacobian, the implicit function theorem and maybe a deeper look at series. You might encounter the binomial expansion there but you'ld be more likely to spend time with Taylor series and different kinds of convergence. Likewise integrals, and uniform convergence. when I did it long ago it was full of epsilon and delta proofs (Weierstrasse's theory of continuity).

Several of the things you mentioned, like linear algebra, are subjects in their own right.
 
  • #4
Unfortunately I do not know of any sites that explain advanced calculus very well. Most sites that do are university sites which are impossible to view unless you are a student. However, use google to seach for PDF files. These are usually very handy and often come in textbook format.
 

1. What is advanced calculus?

Advanced calculus is a branch of mathematics that deals with the study of functions, limits, derivatives, and integrals of complex and abstract mathematical concepts. It goes beyond basic calculus and involves more complicated techniques and theories.

2. How can advanced calculus problem solving websites help me?

These websites provide a platform for students and researchers to access a variety of advanced calculus problems, solutions, and resources. They offer step-by-step explanations, practice exercises, and interactive tools to enhance understanding and problem solving skills.

3. Are these websites suitable for beginners?

While these websites are primarily designed for advanced calculus students and researchers, they can also be beneficial for beginners who have a strong foundation in basic calculus. Some websites offer introductory courses and resources to help beginners build a solid understanding of advanced calculus concepts.

4. Are there any free advanced calculus problem solving websites available?

Yes, there are several free advanced calculus problem solving websites available. Some popular ones include Khan Academy, Coursera, and MIT OpenCourseWare. These websites offer a wide range of resources and materials for advanced calculus at no cost.

5. Can I use these websites to prepare for exams?

Yes, these websites can be a great resource for exam preparation. They offer practice problems, quizzes, and exams that can help students assess their understanding and prepare for tests. Some websites also have forums and communities where students can discuss and collaborate on problem solving strategies.

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