Wanting to study Functions from scratch for my Calculus preparation

In summary, studying Functions from scratch is essential for preparing for Calculus. By starting from the basics, one can develop a strong foundation and understanding of the concept, which is crucial for tackling more complex problems in Calculus. This approach allows for a more comprehensive understanding of Functions and its applications, making it easier to excel in Calculus.
  • #1
mark2142
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Does Precalculus by James Stewart teaches function from scratch ?
 
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  • #2
Can you say more about what you are looking for in a Precalculus textbook? What kind of functions?

If you search on the textbook at Amazon, you can use their "Look Inside" feature to view the Table of Contents and other brief summaries of the content:

https://www.amazon.com/dp/1305071751/?tag=pfamazon01-20
 
  • #3
Function that is taught in algebra I and II I suppose.
 
  • #4
Like trig functions, exponential functions, infinite series, and similar?

Did you try the "Look Inside" feature at Amazon yet?
 
  • #5
Actually I want to revise algebra 1 and 2 and move forward. Learn new maths. But I don’t want to buy new book. I was thinking if this book will do the job for a while?
(I am tired of buying books)
 
  • #7
mark2142 said:
Does Precalculus by James Stewart teaches function from scratch ?
Mark,

you have asked many pre-calculus questions in regards topics and books. The best course of action is to read and work through the pre-calculus book...
 
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  • #8
mark2142 said:
Does Precalculus by James Stewart teaches function from scratch ?
Yes, chapter 2 covers functions from the beginning
 
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  • #9
MidgetDwarf said:
Mark,

you have asked many pre-calculus questions in regards topics and books. The best course of action is to read and work through the pre-calculus book...
But I asked one question regarding books.
Muu9 said:
Yes, chapter 2 covers functions from the beginning
That’s a relief.
I prepare myself that now I’ll complete this or that book and will pursue my journey to learn science. I start the book and then I leave because the math is above my level. So I go buying new book. And then this cycle repeats. I start and then I leave. It has happened a lot. I think I have to learn and revise maths from beginning if I want to excel in physics. Everywhere there is calculus and I need to understand this calculus if I want to understand any physics topic. For that I have to go through Precalculus first. And for learning that I need to go through algebra 1 and 2. It’s a relief that algebra 1 and 2 are covered in Precalculus.
Thanks.
 
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  • #10
mark2142 said:
But I asked one question regarding books.

That’s a relief.
I prepare myself that now I’ll complete this or that book and will pursue my journey to learn science. I start the book and then I leave because the math is above my level. So I go buying new book. And then this cycle repeats. I start and then I leave. It has happened a lot. I think I have to learn and revise maths from beginning if I want to excel in physics. Everywhere there is calculus and I need to understand this calculus if I want to understand any physics topic. For that I have to go through Precalculus first. And for learning that I need to go through algebra 1 and 2. It’s a relief that algebra 1 and 2 are covered in Precalculus.
Thanks.
maybe you can benefit by using something like Aleks, and working through your book.
 
  • #11
MidgetDwarf said:
maybe you can benefit by using something like Aleks, and working through your book.
It usually costs money, but you can get access to it for free through this edx course: https://www.edx.org/course/precalculus
 

FAQ: Wanting to study Functions from scratch for my Calculus preparation

What are functions in mathematics?

Functions in mathematics are relationships between two sets that assign to every element of the first set exactly one element of the second set. Essentially, a function takes an input, performs a specific operation, and produces an output.

Why are functions important in calculus?

Functions are fundamental in calculus because they describe how quantities change and interact. Calculus is primarily concerned with the study of change (differentiation) and accumulation (integration), both of which are defined in terms of functions.

What are the different types of functions I should know?

Some key types of functions to understand include linear functions, quadratic functions, polynomial functions, rational functions, exponential functions, and trigonometric functions. Each type has unique properties and behaviors that are crucial in calculus.

How do I graph a function?

To graph a function, you plot points on a coordinate plane where the x-coordinate represents the input value and the y-coordinate represents the output value. By connecting these points, you can visualize the behavior of the function. Understanding how to interpret and draw these graphs is essential for calculus.

What resources can help me study functions effectively?

There are many resources available to study functions, including textbooks, online courses, educational websites, and video tutorials. Practice problems and interactive graphing tools can also be very helpful. Consistent practice and seeking help when needed are key to mastering functions.

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