A lot of exercises to understand topics (Math)

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SUMMARY

The discussion centers on effective study strategies for math and physics courses, emphasizing the importance of problem-solving over mere theory review. Participants agree that while foundational theory is necessary, engaging with numerous exercises enhances understanding and retention. The consensus suggests that students, particularly those in engineering or physics, should prioritize solving problems to prepare for exams and grasp concepts deeply. The effectiveness of study methods may vary based on individual learning styles and specific course requirements.

PREREQUISITES
  • Understanding of basic mathematical concepts and terminology.
  • Familiarity with physics principles relevant to engineering or math courses.
  • Knowledge of exam formats and requirements for math and physics subjects.
  • Experience with problem-solving techniques in academic settings.
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  • Explore effective problem-solving strategies in mathematics.
  • Research study techniques for physics courses, focusing on practical applications.
  • Investigate the balance between theory and practice in engineering education.
  • Learn about different exam preparation methods for math and physics subjects.
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Students in undergraduate math and physics courses, particularly those pursuing engineering, who seek to optimize their study habits and improve problem-solving skills.

annaphys
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Hello,

I have a few free days next week where I want to review the topics from this semester and would like people's opinions on how to go about really getting the most out of my free time. I am currently taking math classes from the math department and am wondering, should I focus on doing as many problems as possible instead of just re-reading the text? Is it in general good practice to do more problems than reading the theory? Of course one needs some theory before tackling problems but I believe one can only understand the theory when one actually tries to solve problems.

But I guess this can also go with physics, should I read the subjects in the book and focus majority of my time on solving problems?

I'd like to hear any personal experiences on how you succeeded in real math courses.
 
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Solving problems can take you a lot of time, so re-reading the lectures might be more effective.

This was as general as possible. Now come the details which could lead to a different recommendation:
  • Do you study physics or even more important, engineering? In this case you should do as many exercises as possible.
  • Which kind of exams will you face? Learn whatever will increase your score.
  • Are you studying philosophy or are heading towards logic? Learn the theory.
The truth lies probably somewhere in between, i.e. it depends on so much more information to give a good advice than you were sharing with us.
 
The info given is physics and math. I'm in undergrad so maybe that helps a bit more. My question was more based off the already-given info, that I am taking math courses with math students and wanted to know what worked for others who took such courses.
 

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