What are some good non-textbook books for preparing for Calculus II-III?

In summary, the conversation discusses a student's upcoming Calculus II-III classes and their search for non-textbook books to read over the summer to prepare. Suggestions are made for books such as "The Calculus Tutoring Book" by Carol and Robert Ash, "Calculus: An intuitive and physical approach" by Morris Kline, and "Course on Modern Analysis" by Whittaker & Watson. Other recommendations include "Multivariable Calculus" and "Calculus, Early Transcendentals" by James Stewart. The conversation also emphasizes the importance of using textbooks to fully understand quantitative concepts.
  • #1
kingnasty
2
0
I am going to be taking calculus II-III next year and would like to know if there are any good non textbook books out there that would be a good read over the summer to get me familiar with the material that will be covered in each of these classes. I read "calculus, by Gootman" prior to taking calc one and it helped enormously. I have already checked out “How to ace the rest of calculus" but I would like something a hair more formal than that (something with practice problems). Any suggestion would be greatly appreciated.
 
Physics news on Phys.org
  • #2
You might try "The Calculus Tutoring Book" by Carol and Robert Ash, published by the IEEE...and/or "Calculus: An intuitive and physical approach" by Morris Kline, published by Dover. Both of them are very worthwhile, IMHO.
 
  • #3
Whittaker & Watson "Course on Modern Analysis" is a good book.I got the 1927 edition.I think newer ones have been published.

Real nice & useful stuff.

Daniel.
 
  • #4
Try "Multivariable Calculus" and "Calculus, Early Transcendentals" by James Stewart. The former is for Cal 3 and the latter, Cals 1&2.They are textbooks, but are easy reads and the concepts and proofs are well explained.

Personally, there is nothing better than actual textbooks if your aim is to understand "quantitatively", and not just qualitatively.
 
Last edited by a moderator:

FAQ: What are some good non-textbook books for preparing for Calculus II-III?

What are the main topics covered in a Calculus II-III book?

A Calculus II-III book typically covers topics such as integration techniques, including substitution, integration by parts, and partial fractions, as well as applications of integration such as volumes of solids and arc length. It also covers topics in multivariable calculus, including partial derivatives, multiple integrals, and vector calculus.

Is knowledge of Calculus I necessary to understand a Calculus II-III book?

Yes, a strong understanding of Calculus I is essential to understanding a Calculus II-III book. Topics such as limits, derivatives, and basic integration are built upon in Calculus II-III, so it is important to have a solid foundation in these concepts.

What are some common resources for studying Calculus II-III?

Some common resources for studying Calculus II-III include textbooks, online lectures and tutorials, practice problems, and study groups or tutoring services. It is important to find a resource that works best for your learning style.

What are some real-world applications of Calculus II-III?

Calculus II-III has many real-world applications in fields such as engineering, physics, economics, and statistics. Some examples include using integration to calculate the area under a curve, using partial derivatives to optimize a function, and using multiple integrals to find volumes of irregular shapes.

What are some tips for success in a Calculus II-III course?

To succeed in a Calculus II-III course, it is important to attend lectures, take thorough notes, and actively participate in class. It is also helpful to practice regularly, seek help when needed, and approach difficult problems step-by-step. Additionally, having a strong understanding of Calculus I and a solid mathematical foundation can greatly contribute to success in Calculus II-III.

Similar threads

Replies
17
Views
1K
Replies
0
Views
2K
Replies
26
Views
4K
Replies
12
Views
7K
Replies
8
Views
3K
Back
Top