What's the difference between pre-calculus and algebra?

No, pre-calculus and algebra are basically two different courses but they are interlinked in many ways, you have to understand their basics in order to know the real difference between them. Pre-calculus is basically a course taught in American education system, and is meant to prepare students for the course of calculus. The course explores various topics that are to be taught in calculus.It is also known as 'Algebra 3' and 'Introduction to Analysis'.

The course includes some algebraic topic with a shift towards calculus; these topics include sets, real numbers & complex numbers (both crucial to understand and study calculus), functions, inequalities, trigonometry, conic sections, sequences & series, vectors, matrices, polar coordinates, and limits to name a few. You see these are all algebraic topics, but have been included in pre-calculus to build your calculus foundation. Algebra on the other hand contains basic (foundation courses) to advance ones like Algebra 1 & 2 in American education system.

Though it covers some of the topics you'll study in pre-calculus yet it doesn't discuss these in detail. Also, you'll study these topics in pre-calculus in calculus's context.So, to conclude, pre-calculus and algebra overlap but only at the topics, not context, and pre-calculus is built on the algebra foundation. Hope it helps!

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