Most Important Precalculus Topics

In summary, the most important topics in precalculus needed before entering calculus 1 are: a strong understanding of trigonometry, knowledge of basic geometric facts such as areas of squares, rectangles, triangles, and trapezoids, familiarity with analytic geometry and the ability to translate between equations and graphs, and mastery of basic algebra including finding roots of polynomials and solving linear and quadratic equations. According to Stewart's Calculus book, the Diagnostic Exam in the beginning can help students identify the most important concepts to focus on. It is also worth noting that the renowned calculus professor James Stewart, who authored many popular textbooks, passed away in December 2014.
  • #1
mathdad
1,283
1
In your opinion, what are the most important topics in precalculus needed before entering calculus 1? What must a student know well after taking precalculus?
 
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  • #2
Definitely need to know your trig really well. See http://mathhelpboards.com/trigonometry-12/trigonometry-memorize-trigonometry-derive-35.html for some help on that. You need to know basic geometric facts like areas of squares, rectangles, triangles, and trapezoids. You need analytic geometry - so you're very familiar with going between the equation defining a function and its graph. You also need a significant mastery of basic algebra: finding roots of polynomials, solving equations including linear and quadratic. If you look at Stewart's Calculus book, he has a Diagnostic Exam in the beginning that should help you understand very well what the most important things to know are.
 
  • #3
Ackbach said:
Definitely need to know your trig really well. See http://mathhelpboards.com/trigonometry-12/trigonometry-memorize-trigonometry-derive-35.html for some help on that. You need to know basic geometric facts like areas of squares, rectangles, triangles, and trapezoids. You need analytic geometry - so you're very familiar with going between the equation defining a function and its graph. You also need a significant mastery of basic algebra: finding roots of polynomials, solving equations including linear and quadratic. If you look at Stewart's Calculus book, he has a Diagnostic Exam in the beginning that should help you understand very well what the most important things to know are.

Thanks but I was looking for a list. I am now waiting for my James Stewart textbook to arrive in the mail. I think precalculus is super cool. It covers so many interesting topics that most students need to master.

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By the way, the great calculus professor, James Stewart, passed away in December 2014.
 

FAQ: Most Important Precalculus Topics

What is precalculus?

Precalculus is a branch of mathematics that prepares students for calculus. It covers topics such as functions, graphs, trigonometry, and algebraic equations.

Why is precalculus important?

Precalculus is important because it provides the necessary foundation for understanding and solving more complex mathematical problems in calculus and other advanced math courses.

What are the most important topics in precalculus?

The most important topics in precalculus include functions and their graphs, trigonometry, algebraic equations and inequalities, and exponential and logarithmic functions.

How can I prepare for precalculus?

You can prepare for precalculus by reviewing basic algebra and geometry concepts, practicing solving equations and graphing functions, and familiarizing yourself with trigonometric concepts and identities.

What careers require knowledge of precalculus?

Careers that require knowledge of precalculus include engineering, computer science, economics, and physics. It is also important for students planning to pursue a degree in mathematics or any other STEM field.

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