Thanks for the information. I thought integrals were covered in Calc 1 to at least some extent, and then further in depth in Calc 2? I certainly could be wrong though. It's been about eight years since I've looked at this stuff. I'm so rusty with some of it. Some is coming fairly easy, some is a bit challenging to fully grasp again.jedishrfu said:Calc 1 covers differentiation and uses of derivatives so I think that is chapters 1 thru 4
Chapter 5 covers integration and would be a part of Calc 2
https://catalog.lib.uchicago.edu/vufind/Record/7928570/TOC
Different schools and different textbooks might or might not cover a brief introduction to integration in the first calculus course. There's also the matter that some schools run a calculus sequence in two semesters while others might run it over a period of three quarters.Ascendant0 said:I thought integrals were covered in Calc 1 to at least some extent, and then further in depth in Calc 2
In Calc I, the chapters typically covered from Thomas' Calculus include Chapter 1 (Functions), Chapter 2 (Limits and Continuity), Chapter 3 (Derivatives), and parts of Chapter 4 (Applications of Derivatives).
While most Calc I courses follow a similar structure, the exact chapters covered can vary depending on the institution and the instructor. However, the core topics of limits, derivatives, and their applications are generally consistent.
Yes, Chapter 1 is essential as it covers the foundational concepts of functions, which are crucial for understanding limits and derivatives in subsequent chapters.
Integrals are typically introduced in Calc II. However, some Calc I courses might briefly touch on the concept of antiderivatives, which is usually found at the end of Chapter 4 in Thomas' Calculus.
The depth of coverage for applications of derivatives can vary, but typically, Calc I will cover basic applications such as optimization and related rates, which are found in Chapter 4 of Thomas' Calculus.