Classes Definition and 568 Threads

Hey everyone, I'm just curious what undergrad mathematics courses are traditionally more proof intensive. The reason why, is that although I'm a physics major currently, I (generally) really enjoy doing mathematics, just for the sake of mathematics... so I regularly have thoughts of "maybe I...

I've been reading some threads on this site about how many math/physics courses an undergraduate should take in a term. Many posts I've read say that around 3 math/physics courses a term is reasonable for someone who wants to major in physics or math. But something seems amiss because at my...

Here are the required courses. I'll explain my options: Engineering calc 1/2 or Life Sciences calc 1/2 Physics with calc1/2 or physics without calc 1/2 Basically, that's my whole dilemma. Do I want Engineering Calc and Physics with calc, or without? Like does it make me any less skilled or...

Hi all, I'm a 5th year Chem E major in which I'm interested in going into the Environmental E industry after college. I figured that Chem E would be pretty closely related, and I'm wondering if it'll be useful to take some basic ENV S classes before I graduate despite it not really be...

Hello I am going to be a Sophomore in the upcoming fall semester. For the past couple of days I have been trying to decide if I should take another math class next semester. I am passionate about both math and physics so the lack of humanities does not bother me and honestly I am happier in the...

I am 13 years old going into my freshman year. I am overall a good student. High school is starting for me so I am getting more nervous about my class selections. I am taking Honors Math 1, Honors English 1, Spanish 2, Honors World History, and Honors Earth and Environmental. I haven't received...

In Mexico city

Not that long ago (last year) my family and I moved to the US and I have had a very hard time learning the English language so please excuse me for any typos and grammatically incorrect sentences, Thanks. I am 13 years old and my goal in life is to become a doctor, specifically a surgeon. I...

In your experience, what were the most difficult intro courses in engineering with the highest failure rates? calculus, physics?

In community college right now and Physics 3 (electricity and magnetism) has crushed my physics GPA. Phys 1/2 was a 3.9/3.8 and this quarter is likely to be a 3.5. I could have studied harder and I could have done more to get a higher grade, but I should probably say the class average on...

PF Family, I'll be starting my junior year this fall. I'm so excited, but I know I have a lot of work ahead of me. I want to get started this summer by teaching myself some things before the Fall semester begins. In the fall, I will use the books that I will have used for self-study in the...

Just finished sophomore year of undergrad at a severely grade-inflated institution, and have been receiving relatively "low" grades for all but one semester. Since I first discovered my intense interest in physics freshman year, I've really been pushing myself to take more challenging courses. I...

Looking for accredited upper division physics [undergraduate] classes online/correspondence. Anyone know of any? My searches are failing me. Also, before someone says that it's impossible, upper div physics classes rarely have labs and are mostly math, so it is possible to do via correspondence...

So they say a PhD program is 4-6 years long, with 6 core classes during your first year (in quarters), then electives for the second year, and research after that. Is it at all normal to take graduate courses every year of your PhD? There two many courses that I want to take in the math and...

Hi, I am new to this forum and thank you in advance for your help. I just turned 19 years old and am finishing my first year at a university. I really wasn't sure what I wanted to major in so I basically did a bunch of general education classes along with some political science classes because...

In Chapter 7 of John M. Lee's book on topological manifolds, we find the following text on composable paths and the multiplication of path classes, [f] ... ... Lee, writes the following:In the above text, Lee defines composable paths and then defines path multiplication of path classes (not...

Homework Statement Give the equivalence classes of the relation aRb if and only if a^4 ≡ b^4 (mod 30) on the set {1, 2, 3, . . . , 15}. Homework Equations Definition of modular arithmetic. Definition of equivalence class. The Attempt at a Solution I can successfully do this problem using...

I'm not going to ask what mathematics are relevant to physics, I know the answer is all mathematics. I was hoping you guys could help me figure out which specific mathematics topics would be best to take concurrently or prior to certain physics topics, so that the order of my classes is most...

I found that for some LED's manufacturers specify groups/classes of radinat intensity in their datasheets. For example SFH 4258 from Osram http://www.osram-os.com/Graphics/XPic0/00101891_0.pdf/SFH%204258,%20Lead%20%28Pb%29%20Free%20Product%20-%20RoHS%20Compliant.pdf has four groups, going from...

Coursers has some wonderful engineering classes for free. I was thinking about getting a group of people together and hosting a "class" where we watch the lectures do work and help each other if need be.I'm not really sure how to even organize a "club" like this. I know I am disciplined and...

Hello, Given essentially unlimited time and financial support, what do you think would be the best courses an aspiring physicist should take undergrad to be best prepared(Other than the normal CM,EM,QM,etc.)to become a researcher in experimental physics? I've been working on a chemistry major...

Hello, I'm not yet at the University level, but I was just wondering what core (meaning physics and math) classes are important for someone going into physics. Some background on my education thus far, I took Algebra 1 in 7th grade, Geometry in 8th, algebra 2 in 9th, doubled up on math in 10th...

I understand that a tangent vector, tangent to some point p on some n-dimensional manifold \mathcal{M} can defined in terms of an equivalence class of curves [\gamma] (where the curves are defined as \gamma: (a,b)\rightarrow U\subset\mathcal{M}, passing through said point, such that \gamma (0)=...

I actually switched to physics late in my career, so my general studies and all is pretty much complete. All I have left is: 7 hours General Electives (6 if they count the unneeded 1 hour science lab i took with the required biology ) 3 hours of Undergraduate Research (But they offer a 2...

Given an element a in a group G, class(a) = {all x in G such that there exists a g in G such that gxg^(-1) = a} class(b) = {all x in G such that there exists a g in G such that gxg^(-1) = b} so let's say y is a conjugate of both a and b, so it is in both class(a) and class(b), does that mean...

I think having a career in nanotechnology might be the right choice. However, my school doesn't offer a concentration in nanotechnology unless you are in chemistry. I would like to know some undergraduate courses that would be helpful to me if I decided to go on to get a masters in nanotechnology.

Would proof based classes like real analysis, abstract algebra etc be helpful to a biomath major. Currently, I am a math major in a good community college, almost on the verge of transferring to a 4 year institution. My goal is eventually to get into med school and pursue radiation oncology but...

I know that there are multiple threads regarding retaking classes but everyone's situation is different and I wasn't sure if those posts were going to apply to my situation. I suffered medical problems, both mental and physical, before even entering university and had them all through freshmen...

\begin{equation*}Let\text{ } (X,\mathcal{A} ,\mu ) \text{ }be \text{ }a \text{ }complete\text{ } \sigma -finite\text{ } measure\text{ } space \\and \text{ }Y \text{ }be \text{ }a \text{ }separable\text{ } Banach\text{ } space\text{ } supplied \text{ }with \text{ }the \text{ }norm\text{ }...

I am reading Paul E. Bland's book, "Rings and Their Modules". I am trying to understand Chapter 4, Section 4.1 on generating and cogenerating classes and need help with the proof of Proposition 4.1.1. Proposition 4.1.1 and its proof read as follows: I need some help with what seems a...

Print person1's kids, apply the IncNumKids() function, and print again, outputting text as below. End each line with newline. Sample output for below program: Kids: 3 New baby, kids now: 4 Sample program: #include <iostream> using namespace std; class PersonInfo { public: void...

I am currently taking physics with cal 1 and cal 2 at the same time. It's a lot of work but I may come out of both with A's. I made an A in Cal 1 and seem to understand the math pretty easily. So my question is do you think it's feasible to take Physics with Cal 2, Cal 3, Differential Equations...

Hello! (Smile) We are given the set $E=\{d,e,f \}$, $d,e,f$ different from each other and the relation $I_{E}=\{ <x,x>: x \in E\}$. Prove that $I_{E}$ is a set. In addition, show that the relation $I_{E}$ is an equivalence relation in $E$ and find all the equivalence classes. That's what I...

Should i wait a year or so and take AP physics or take physics over the summer, at a college just asking(am a freshman in high school)

Does anybody know of a good resource which might discuss these in greater detail? In particular, once one has reduced a Markov chain to a set of communicating classes, are there methods to treat this as a "coarse grained" Markov chain for which one can then compute transition rates between the...

Would you guys suggest taking more advanced courses in physics or education for a junior and senior course load to prepare for grad school when you're majoring in physics education post undergrad?

I'm planning on going to graduate school, and that means I'll need research experience. Now, double-majoring in electrical engineering and physics, my semester schedules are too rough for me to take up research, but I was thinking of doing it over the summer. However, the university I'm at is...

why are the physics classes so boring? I am taking some upper devision EM,QM classes. they just keep repeating everything I have learned in the previous few years. can't they jump straight to the fun part like in Landau?

Hi I am a sophmore in high school doing multivariable calculus in a local community college and next semester I will be going into linear algebra with differential equations. The problem is that after differential equations and linear algebra the community college does not have any other math...

Question: Find the equivalence classes and the number of equivalence classes of the following relations. A is the set of all possible strings of 3 or 4 letters in alphabet {A, B, C, D}, and (x, y) ∈ R if and only if x and y have the same first letter and the same third letter. My attempted...

Hi I am an undergrad student in an Electrical engineering program and going for my masters and undergrad degree at the same time (special program i am in). I an very interested on the hardware side of quantum computing as to have a future career in this field (eventually will go for a PhD). I...

I am only able to take nine hrs of traditional classroom setting a semester how much more difficult are online classes in this field as opposed to traditional

Hi All, The Euler class of the tangent bundle of a compact, oriented manifold agrees with the evaluation of the top homology class on the fundamental class (which is represented by the manifold itself), and maybe also figure out how to do actual computations using Poincare duality (to figure out...

I am having trouble taking classes to get full time status because my college only offers electrical engineering courses at night. I am looking for some physics classes that will prove useful in my field. I've heard some PE's with masters in engineering physics say they can derive solutions to...

So I am going into my third year at a college. I am a double major math and mechanical engineering. And I'm trying to decide which schedule I should take. The main difference between them is one option takes only two semesters while the other takes 3 semesters. I do not want to over do myself...

Suppose we have a class equivalence relation ~ on a proper class C. Can we form the class of equivalence classes C/~? What axioms do we need, assuming we base ourself on NBG? I can't seem to prove that this class exists with the axioms stated. I.e., the proposition that there exists a class D...

I am just curious about what classes need to be taken to become a mathematician. Thanks!

I'm not exactly sure of the intended order of the upper-division physics classes because they aren't ordered one after another. My current background is all As in: Calc1-3, ODEs, Linear Algebra, lower division mechanics and E&M, and another physics course that didn't transfer from my previous...

I am an upcoming freshman. I will major in engineering. When applying to the school I chose mechanical because of its "versatility and stability in the job market." (I don't fully understand the meaning of these phrases; I get my knowledge from anecdotal experience when browsing forums). I may...

I am a computer engineering major, and the core for EE and CpE are the same. The junior year is where the two programs begin to branch apart. There is an elective spot for a 2000+ class in my major. Which areas would be good to know about in today's workforce? Of course, I would be interested in...