Do I Need HS Geometry for Upper Division Math?

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Understanding high school geometry can be beneficial for upper division math, particularly for topics like trigonometry and proofs. While some students manage to excel in lower division math without a strong geometry background, knowledge of geometric concepts is often crucial for grasping advanced topics. Geometry helps develop proof skills, which are essential in higher mathematics. Familiarity with vectors and matrices, typically covered in geometry courses, is also important for advanced linear algebra and physics. Although some argue that specific geometry results may not be directly applicable in higher math, concepts like similar triangles and parallel lines can occasionally arise. Overall, while geometry may not be strictly necessary, having a foundational understanding can enhance mathematical proficiency and problem-solving skills. If time is limited, focusing on essential topics and seeking resources when needed is advisable.
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Do I need to know high school geometry for upper division math? I aced most of my lower division math without any extensive knowledge of HS geometry. I know enough to do a max min box problem and a incline plane physics problem. But other then that, I don't know much.
 
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It will be difficult to do well in trig without a fairly good background in geometry. Besides the direct utility in knowing something about triangles, you will need the background in proofs (normally taught in geometry) to do well proving identities.
 
Yes. It is needed more than calc imo. True, you will rarely if ever use Euclid's results but you will get familiar with proofs which dominate all of math. Likewise, geometry courses will cover vectors and matrices (at least in Canada) which are used constantly in higher year math and physics. Most advanced linear algebra courses will assume faimiliarity with these concepts, even if the course prereqs don't. If your geometry course covers trig, that alone would also be a huge factor.
 
Well I know trig, vectors and matricies. I just don't know the postulates, theorems and proofs utilized in geometry.
 
Okay, so I am guessing you've seen theorems and proofs of other things, which is all you really take home from geometry. Well that and proof by contradiction. No, stuff covered in geometry will not be used in higher math. Unless you get into number theory and compass constructions, which is pure math that a physicist won't usually take.

Still, I have come into about three occassions that invoked the use of similar triangles, subtended angles, and parrallel lines. But other than that, you don't need the results.

It won't hurt to study it, as its not too hard. But if time does not permit, don't sweat it.
 
Don't worry about it. If you run into something you don't know, then you should just read up on it.
 
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