Is Retaking Geometry Necessary for a Physics Major at UCLA?

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Discussion Overview

The discussion revolves around the necessity of retaking a geometry course for a physics major at UCLA, particularly in light of a participant's prior experience with a geometry class at a community college. The conversation touches on the relevance of geometry, its proofs, and the potential impact on future studies in physics and mathematics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses concern about missing important concepts from geometry due to a lack of effort in a previous course, questioning whether to retake the class or self-study.
  • Another participant seeks clarification on what type of geometry is being referred to, suggesting that it could be differential or Euclidean geometry.
  • A different participant clarifies that the geometry in question is likely remedial Euclidean geometry, emphasizing its foundational role in mathematics and suggesting that self-study could be beneficial.
  • Some participants argue that geometry may not be necessary unless one intends to teach it, while others highlight its importance for mathematical development and understanding proofs.
  • One participant shares their personal experience, stating they have not found Euclidean geometry useful and did not find the proofs instructive.
  • Another participant mentions their own struggles with trigonometry rather than geometry, implying that foundational skills in geometry may not be as critical as other areas.
  • A suggestion is made to read specific geometry texts to gain a deeper understanding of the subject independently.
  • One participant reflects on their high school geometry experience, noting that they do not remember much from the proofs and believe that basic geometry concepts are sufficient for practical applications.

Areas of Agreement / Disagreement

Participants express a range of opinions on the necessity of retaking geometry, with some arguing it is not essential while others suggest it could be beneficial for foundational understanding. There is no clear consensus on whether retaking the course is necessary.

Contextual Notes

Participants highlight various experiences with geometry, indicating that the perceived importance of the course may depend on individual educational paths and future academic goals. There are differing views on the relevance of proofs and the foundational nature of geometry in relation to other mathematical topics.

twentyten
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I currently attend a community college and I wondering if I robbed myself of important concepts learned in a geometry class.

I took the class over a summer for credit no/credit. To make a short story shorter I didn't put any effort into the class and didn't learn much of anything.

The course mostly had to do with proofs. My actual grade in the class was a C but it only shows as a CR on my transcripts. The instructor was new and didn't do a very good job of organizing the class and as a result we even skipped some of the material.

I'm currently taking a trig class and almost done (1 week left) and doing very well, I've got an A. I will be taking precalc next semester.

I would eventually like to transfer to UCLA and major in physics and a possible double major in mathematics. My question is should I retake the geometry class? Should I maybe just do some self study with a good book? How will not having a rigorous course in geometry and geometric proofs effect me?
 
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What do you mean by Geometry? Differential Geometry, Euclidean Geometry, ...?
 
mattmns said:
What do you mean by Geometry? Differential Geometry, Euclidean Geometry, ...?

He means "College Preparatory Geometry", but since his course was at a community college, it would be remedial Geometry, Euclidian Geometry, the course with proofs.

You don't really need it unless you expect to one day teach it. Many people like to skip it because it does not provide credit toward an undergraduate degree. On the other hand, you could and possibly should study it because (1) it is good for your development, (2) it is for many people, a first rigorous course emphasising proofs in Mathematics, (3) This Geometry course is considered a foundation level course, supporting other Mathematics, (4) you may one day wish you could teach this course.

You could study it on your own using a good or excellent textbook. This may take you between 4 and 5 months and you can study at your own pace and review whenever you want, not needing to keep pace with a scheduled semester class.

Taking that course as a summer-session class at a community college was probably not a good idea - too fast - not enough weeks to fully absorb what you study. Scheduling topics for lessons is more difficult for both teacher and student in the few short weeks of summer sessions; students become tired after so many hours in class during the class period; maybe the teacher gets tired, too.

the decison is yours. You don't need it unless you one day teach it; then, you will study it again, and in very fine detail. You would not necessarily need to do it for course credit, but you would need to study it.
 
i've never used euclidean geometry for anything nor were the proofs very instructive.
 
I got a C- in geometry in High-School and it hasn't showed up to bite me in the ass yet.

Now TRIGonometry, that screwed me over... :(
 
read hartshorne's geometry: euclid and beyond, in conjunction with euclid, and you will know a lot of geometry.
 
I don't think retaking geometry is necessary. I took that course in high school and the 1st semester material was all the proofs while the 2nd semester was devoted to the topics that most people think of when they think of geometry (volumes, areas, and other more computational aspects of geometry). To be honest, I remember absolutely nothing from 1st semester geometry. I would have to go relearn all those theorems. The only geometry you need is the basic stuff (angles created when two parallel lines are intersected by a transversal, right triangle trigonometry, the length, midpoint, and slope of a line, the sum of the angles in polygons, etc...). A lot the material I mentioned is retaught in trigonometry anyways.
 

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