I found the physics tutorials from the University of Washington particularly useful in developing a conceptual understanding of the material. The tutorials essentially walk the students through some simple situations asking key questions. Our class met once a week in the lab to work through...
I have never seen a Sonic although I hear about it often. I think there is one in Washington. You can buy ice trays with atypical shapes though. This might suffice.
If you simply plug in y_1{(x)}=x you should notice that this solves the differential equation. This is your first solution. Are you familiar with the method of reduction of order? Your second solution will be of the form y_2{(x)}=u(x)y_1{(x)}. Plug this into your differential equation and see if...
Are you sure you know what a physicist truly does? You are asking the wrong question. You will need to choose a particular branch of physics (nuclear, condensed matter, particle, etc). A separate issue is whether you wish to pursue theoretical or experimental research.
Chemistry: The science of the composition, structure, properties, and reactions of matter, especially of atomic and molecular systems
Physics: The science of matter and energy and of interactions between the two, grouped in traditional fields such as acoustics, optics, mechanics...
During my freshman year I took differential equations, calc 3, English, and third quarter intro physics in one quarter. This was time consuming to say the least, but doable. My only concern would be whether or not you will devote as much time to each class as you would with a less substantial...
Quality engineers of all kinds are likely to remain in high demand for the foreseeable future. I would suggest you select the field which most interests you. Although this is not comprehensive it may provide some assistance. You may also want to consider attending graduate school...
I agree, professors can only guide you in the right direction. In the end it is up to the individual to learn and master a subject. The ability to learn on your own is an invaluable skill to possess.
A course surveying the different engineering fields is not necessary. There are plenty of resources available to you outside of academia. Why don't you try searching online, or speaking with some engineers, students or advisors about the nature of their work? What field of physics most interests...
Engineering prospects look good to me.
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