Courses Intermediate Mechanics Self-Review

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A student expressed concern about their understanding of mechanics after performing well in the first course but feeling unprepared for the second course, which covers advanced topics like Lagrangian and Hamiltonian mechanics. They sought resources for self-studying physics. Responses emphasized the importance of strengthening mathematical skills and revisiting the first course material for deeper insights. Recommendations included working through additional problems and exploring the textbook "Mechanics" by Sommerfeld, which, while challenging, can enhance understanding of mechanics. There was also a suggestion to inquire about the specific textbooks used in their courses to gather more tailored advice.
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Good day,
I performed relatively well(A-) in the first course of my sophomore mechanics class, but I don't feel as if I've sufficiently mastered the material to perform well in the 2nd course in the sequence, and of course, the principles of Lagrangian and Hamiltonian mechanics, simple harmonic oscillators, etc. are of interest to any physics major with the slightest interest in quantum mechanics. Does anyone have any resources/strong opinions on best practices for self-studying physics?
Thank you for your time.
 
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At the time of taking the first course, in most cases, students have fairly limited amount of mathematics background. I would suggest that you focus on learning more math, and at the same time, go back over the material of the first course looking for new insights.
 
Dr.D said:
At the time of taking the first course, in most cases, students have fairly limited amount of mathematics background. I would suggest that you focus on learning more math, and at the same time, go back over the material of the first course looking for new insights.
Awesome, thank you so much. I noticed I was getting confused with some of the complex analysis going into simple harmonic oscillators and some of the more involved differential equations solutions; I will definitely make a note to review that. Thank you again!
 
If you feel you haven't sufficiently "mastered the material", work more problems. Have you run out?
 
Sommerfeld, Mechanics is a stretch but reading the most interesting parts can really turn you on to mechanics. Other than that, I think preparing for more advanced math involved in your second mechanics course is good advice.
If you do go the Sommerfeld route, don't worry about not understanding everything. It is likely that even physics graduate students do not understand everything in Sommerfeld. But Sommerfeld seems to know how to showcase interesting mechanics and physics in general. If you find the textbook to buy or get at the library, you will probably return to that book again and again.
 
OrangeEater said:
I performed relatively well(A-) in the first course of my sophomore mechanics class, but I don't feel as if I've sufficiently mastered the material to perform well in the 2nd course in the sequence
Which textbook(s) do these courses use? Some people here are probably familiar with them, or at least acquainted.
 
This is my second year in college, and I changed my major to electrical engineering at the start of my second year. I'm taking Calc 1, and I know that I'm going to fail the course. I think there are several reasons for this. I hadn't touched math in an entire year (finished pre-calc 2 in HS), and I heard Calc 1 was the easiest math course, so I decided that taking the class without outside help (tutors or office hours) was enough. I tried really hard and spent hours learning, studying, and...

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