Preparing for Exams: Curve-balls & Unseen Problems

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To effectively prepare for exams that include unexpected problems, mastering the material is crucial. Engaging with a variety of exercise problems enhances understanding, as different resources may present concepts in unique ways. Thoroughly reading each section and working through examples—especially challenging ones—can solidify comprehension. It's beneficial to exceed recommended practice problems, focusing on those that are difficult or unfamiliar. During exam preparation, aim to make the test feel manageable, limiting active problem-solving to more complex questions to conserve time. Additionally, allowing time for review and answer verification is essential. Overall, a comprehensive and varied study approach, combined with effective time management during exams, can significantly improve performance.
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How do you prepare for exams that have curve-balls and/or problems that are not from the lecture or on the homework?
 
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The best way to handle problems like that are to truly master the material. Those questions are on the test to see if you've mastered the material, not to just trip you up or get points off.
 
zapz said:
The best way to handle problems like that are to truly master the material. Those questions are on the test to see if you've mastered the material, not to just trip you up or get points off.

"how do you prepare..." (:
 
Work through as many exercise problems as you can, and try to get exposure to the material from several perspectives. Sometimes a concept will be explained in one book in a more technical way, and the same concept will be explained in another book in a more conceptual/theoretical way. Having both explanations helps to really understand the material.
 
I find reading each section thoroughly helps. Also going over each example in every section helps! I spend less time on ones that I think are straight forward and more time on challenging examples. Also, if I feel the explanation in one book is weak then I usually look in another book or look on the web for tutorials. For my personal learning style, I feel that I actually do the learning through the reading and trying to uncover the techniques in the examples. Also, do more than the recommended work! Do more of the problems you struggle with or problems that look pretty hard (or all of them!). Also, If you spend a lot of your time studying each section thoroughly then studying for the exam should be more of a review. Normally I will pick a couple easy problems from easy sections being covered and spend most of my time practicing how to tackle hard problems. Most of the time the easy problems will somehow be imbedded in the large grotesque problems. For my personal style, and this is the tricky part, I try to get to the point where I take an exam I feel like it is all material that I can do without much thought. As funny as it sounds I try to limit problem solving as much as possible and save it only for those really hard problems. I kind of think of my problem solving skills as a limited turbo boost in an arcade game. Unlike an arcade game, I feel that applying my problem solving skills to every test question would take way too long and I would most likely run out of time. Also, I try to save myself at least 5 minutes to check my answers. Lastly, I think that trying to beat the clock is half the battle sometimes and I personally think that 2-4 hr. tests with snacks are much easier than 50 min. tests.
 
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babysnatcher said:
"how do you prepare..." (:

Zapz gave you good advice. Don't be unappreciative about it.

Previously you wrote:

babysnatcher said:
I just read once, attempt the examples, and I solve the basic problems. My CE professor said he read every chapter 3 times. Is there anyway to understand what is going on better?

You got good advice in that thread, you got good advice from your professor, and you got good advice from zapz. If you were to follow this advice, it's likely your problem will go away. Up to you.
 
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Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
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