Self-learner path.

[King Friday]

I'm studying Algebra 1 & 2 right now and I enjoy it.
I'm then going to take High School Geometry.
Am I on the right learning path to eventually learn Calculus to a respectable level?

Thank you in advance!
KF

 

[blamocur]

Geometry is an interesting subject by itself, but I do't think it is a prerequisite for learning calculus.

 

[fresh_42]

Geometry is an interesting subject by itself, but I do't think it is a prerequisite for learning calculus.

If you see it as a collection of problems drawn by a compass and a ruler, then maybe not. But quite a few theorems anf formulas are really helpful and should be in the repertoire:

• Thales's theorem
• Cosine theorem with Pythagoras as a special case
• Sum of angles in a polygon
• Trigonometric functions
• Catenary
• Right triangles
• Area and volume formulas
• Perpendiculars
• Golden ratio

You don't need to know how to construct a heptadecagon, but knowing how to deal with the cosine function is definitely an advantage.

 

[King Friday]

If you see it as a collection of problems drawn by a compass and a ruler, then maybe not. But quite a few theorems anf formulas are really helpful and should be in the repertoire:

• Thales's theorem
• Cosine theorem with Pythagoras as a special case
• Sum of angles in a polygon
• Trigonometric functions
• Catenary
• Right triangles
• Area and volume formulas
• Perpendiculars
• Golden ratio

You don't need to know how to construct a heptadecagon, but knowing how to deal with the cosine function is definitely an advantage.

I am, at my level unfamiliar with most of these terms.
But I have repeatedly read that it's a fundamental part of prep for Calculus.
On Udemy, I'm taking this course next:

Master Geometry: Full Curriculum with Practice​

 

[blamocur]

Familiarity with trigonometric functions, as well as with some other functions (exponents, logarithms, hyperbolic functions), and their properties is a good idea because they are used in calculus, but I am not sure that those belong in geometry.

 

[King Friday]

Familiarity with trigonometric functions, as well as with some other functions (exponents, logarithms, hyperbolic functions), and their properties is a good idea because they are used in calculus, but I am not sure that those belong in geometry.

They don't.

 

[fresh_42]

Familiarity with trigonometric functions, as well as with some other functions (exponents, logarithms, hyperbolic functions), and their properties is a good idea because they are used in calculus, but I am not sure that those belong in geometry.

[imath] \dfrac{\text{adjacent}}{\text{hypotenuse}} [/imath] shouldn't be geometry?

Everything that comes with right angles is important, and even more so in complex calculus. Geometry means measuring lengths and angles. On the other side, calculus is heavily dependent on the Euclidean (sic!) metric. It may not be visible throughout calculus, but it is as basic as arithmetic is.

 

[fresh_42]

They don't.

They do.