Preparation for Advanced Calculus?

In summary, for those looking to prepare for an advanced calculus course, recommended books include "Spivak. Calculus" and "Proofs and Writing Mathematics" by Dayong Huang. Another suggestion is to brush up on the proof that a continuous function on a closed bounded interval has a maximum and minimum value, which can be found in "Advanced Calculus" by David Widder.
  • #1
SMA_01
218
0
I'm signed up to take Advanced Calculus 1 for the Fall semester, I think it's the equivalent of an intro Real Analysis course. I want to prepare ahead of time, especially because I heard it's challenging, does anyone know any books I can use to get a feel for the topic? I'm not too good with proofs, so I would like to really improve that skill.
 
Physics news on Phys.org
  • #2
Spivak. Calculus.

A phenomenal book on 'advanced' calculus - calc I but with rigor.
 
  • #4
Thank you, will look into it!
 
  • #5
When I asked Lynn Loomis what I needed to brush up on before taking his advanced calculus class he said I should learn the proof that a continuous function on a closed bounded interval has a maximum and minimum value. I learned it from the advanced calculus book by David Widder. Of course that was in 1963, before Spivak wrote his book. That proof is one the the "three big theorems" in Spivak's Calculus book.
 

Related to Preparation for Advanced Calculus?

1. What is the purpose of Preparation for Advanced Calculus?

Preparation for Advanced Calculus is designed to help students develop the necessary skills and knowledge to succeed in higher level math courses, specifically in the field of calculus. It focuses on strengthening fundamental concepts and problem-solving techniques that are essential for advanced calculus.

2. What topics are typically covered in Preparation for Advanced Calculus?

Topics covered in Preparation for Advanced Calculus may include functions and their properties, limits, derivatives, integrals, and basic concepts in multivariable calculus. It may also cover algebraic and trigonometric manipulation, as well as techniques for solving equations and inequalities.

3. How can I best prepare for Advanced Calculus?

To prepare for Advanced Calculus, it is important to have a strong foundation in algebra, trigonometry, and basic calculus concepts. It is also helpful to practice problem-solving and critical thinking skills, as well as familiarize yourself with the notation and terminology used in higher level math courses.

4. What are some common challenges students face in Preparation for Advanced Calculus?

Some common challenges students may face in Preparation for Advanced Calculus include understanding and applying new concepts, managing the high level of abstraction in the material, and developing strong problem-solving skills. It may also be challenging for students who have not taken a rigorous pre-calculus course.

5. How can I succeed in Preparation for Advanced Calculus?

To succeed in Preparation for Advanced Calculus, it is important to stay organized and keep up with the material. Make sure to attend all classes, take thorough notes, and actively participate in class discussions and activities. It is also helpful to practice regularly and seek help from your instructor or peers when needed.

Similar threads

Replies
8
Views
612
  • STEM Academic Advising
Replies
9
Views
2K
  • STEM Academic Advising
Replies
14
Views
828
Replies
3
Views
880
Replies
2
Views
1K
Replies
5
Views
2K
  • STEM Academic Advising
Replies
16
Views
1K
  • Science and Math Textbooks
Replies
1
Views
707
  • STEM Academic Advising
Replies
1
Views
720
  • STEM Academic Advising
Replies
4
Views
1K
Back
Top