What is Classes: Definition and 591 Discussions

Prove that if [i] and [j] are equivalence classes modulo 1. Prove that if [i] and [j] are equivalence classes modulo n such that [i]=[j], then gcd(i,n)=gcd(j,n) 2. Prove that if gcd(a,b)=1 and if c divides b, then gcd(a,c)=1. please help

Hi, I'm considering the following classes: PHY 126, which is Physics B, and it meets 6 times a week (3x LEC, 3x LAB). MAT 211, which is Intro to Linear Algebra, and it meets 3 times a week for 6 weeks. Or a general non-science course that is required by the diversified education curriculum...

I used to be pre-med but I switched to chemistry and I'd like to go to engineering grad school. I have to take more advanced physics classes in addition to chemistry but I've only taken the Algebra-based intro class. Can I take more advanced physics classes like Classical Mechanics, Modern...

Hello! I have a project in which I must simulate a blog application,with users' post mangament. These are the requirements: A blog has a title and a collection of posts.The posts have the following information: -author -data -title -text Each post has a code that is generated...

Hello, I am at High School graduate and 26 years old. I try other forums as for suggestions. They did say it is well certainly still possible but I might need to work harder or sitting around people that is younger but it's still possible because of my age. I want to go for Nuclear...

I'm a high school senior going to college next year to study engineering. I'm kind of stressing over these math placement tests that my school makes all engineering majors take. Most students with my major take Analytic Geometry Calculus their first semester. As I mentioned, all engineering...

(This may be a little bit outside the normal scope of this particular forum. I realized after writing this I didn't really know where to go with questions about computational complexity. Does anyone have any recommendations as to places where this question might be more appropriate? Anyway:)...

hello, I just have a question on summer classes, I want to get physics II, calc 3, and differential equations done with before the fall, but I have some concerns all those in one semester would be too much, so here's some ideas I was having. 12 week semester: physics II (along with lab and...

Hello, Since few days, I was looking forward to start some pre-calculus classes...but I am kind of confused with the 'types' of classes offered. Oh and I am in 9th grade...prob. I'll take it next year(its not available in my school, I will probably have to learn somewhere else,can anyone...

Writing "Cram Sheets" for Math/Science Classes... I like to write "Cram Sheets" for Math/Science Class that include my common mistakes, important notes, and any extra information that my textbook does not accentuate or simplify. I like them to be neat and tidy (and hopefully digital so I can...

I usually sit in front of all my classes (middle of the front horizontal row) so unless the professor wanders around class, I should have a clarity. I'm thinking about getting one of those digital/.wma formats from Olympus that has the feature to drown out background noise since I "write loud."...

I know that V, Ord and Card are proper classes because otherwise foundation, successor and Cantor's theorem would be violated respectively. But if a class is in bijection with one of them, why is that class automatically proper? If we don't assume choice, then the cardinality argument doesn't...

So I'm kind of confused about the definition: a-b\in I Why a - b instead of a + b?

I'm taking calculus, physics, com sci, physics lab, and a life science class w/ lab this quarter and I feel like I'm having a hard time memorizing all that material I'm being taught, especially for math and physics since there are so many equations in physics. The homework load is manageable so...

Hi guys I am having trouble with this question (i have attached). Any help with it would be very much appreciated. Many thanks in advance Pete

I was wondering if anyone knows a more efficient method of finding conjugacy classes than the one i am currently using. tex/ Example D_6* =<x,y| x^3=1, y^4=1, yx=x^2y> now to find the conjugacy classes of this group i would first write out the orbit of x <x> ={ 1x1, xxx^2, x^2xx...

hello again, basically just having a question on the classes I'm taking next semester, I'm so far registered for Physics I w/ Calc, a Physics Problem Solving Class (kind of a supplement for Physics I that my school offers), Calculus II, and Discrete Mathematics; these are all repeats actually...

I can't decide which classes to take. Class 1 (below) sounds useful. The group practice in Class 3 sounds fun, but the class starts kind of late. Class 9 sounds great, too, but I'm not sure I can find the class room. Class 11 would be okay, but I'm not sure I like role-playing games. Class...

Is my life over?

So, the question is: Determine all finite groups that have at most three conjugacy classes I'm a little confused by how to start. Right now, we can say for sure that cyclic groups of order 1, 2, and 3 satisfy this criterion. Also, with Lagrange's Theorem and the counting formula(I'm using...

It seems like most schools that I've looked at don't offer a class in full on QM until senior (according to the course sequences they universities have laid out -- these are probably maleable to a certain degree). I am mostly looking at state school as my GPA isn't good enough to get into any...

I'm beginning college winter semester, and am just curious what sort of math classes I would be most appropriate for understanding the mathematics behind quantum theory. I have several years background in cosmology and astronomy, however the subject of the quantum has just been to tantalizing to...

How exactly do placement tests work for most colleges? Do you say "I want to take so-and-so upper math class", and they'll give you a specific test for that class to make sure you have knowledge of the prerequisites? Ex. If you want to place into a graduate-level analysis class, will they test...

Hey everyone, I recently went to enroll for classes for my first quarter of college. However, I have a bit of a dilemma (or so I think). When I left high school I assumed the university would see on my final transcript that I took pre-calculus (I got a B+), and that I would be allowed to...

I'm currently a rising High School Junior and I'm wondering if it is worth it to take as many classes as you can during your High School years to find out what you truly enjoy. So far, I've taken Physics and I loved it but I've heard that you need to combine 2 subjects, for example, Physics and...

Hi, I'm a mechanical engineering (technically engineering science) student. It's almost time for me to pick my course electives but I don't know what to pick. I do have some interests but I would also like to take classes that will help me land a job. Although I would like to strictly take...

MAA 4224. Introduction to Analysis I (3) MAA 4226, 4227. Advanced Calculus I, II (3, 3) MAA 4402. Complex Variables (3) MAP 4103. Mathematical Modeling MAP 4153. Vector Calculus with Introduction to Tensors (3) MAP 4216. Calculus of Variations (3) MAP 4341. Elementary Partial Differential...

hey guys, I was just wondering what courses in applied mathematics are needed for physics. Thanks

Wazzapnin'. :cool: I'm 14 and I'm going to be a 10th grader this year. My school doesn't offer post-BC math, so I have to take all of my math classes online. Currently, I am studying Real and Complex Analysis, Linear Algebra, Abstract Algebra, and Topology [W00T for Dover. :biggrin:] on my...

Homework Statement I need to find the congruence classes mod (3 + sqrt(-3))/2 in Q[sqrt(-3)]. Homework Equations None known. The Attempt at a Solution I'm not sure how to go about finding these congruence classes. I know that in the regular integers congruences classes mod x are...

Many high school and college students do not understand Mathematics and/or Physics. Based on the schools I have attended, I have observed that Physics is taught from a textbook perspective, with a lab class full of nifty experiments that do not conclusively prove anything. I believe we have...

Here's the deal: I'm currently a sophomore in high school and I need to choose my classes for junior year. I've made a thread like this, but I'm addressing a newer issue here. I'm taking AP Physics B this year and that is the only AP/Honors class I have taken so far. Here's what I've...

I'm a senior in college that just switched from a Bio major to a Math major. In the fall, I'll be taking: Discrete Math Number Theory Electrodynamics & Kinetic Theory Piano Speech I have a summer to prepare for the two math classes and one physics class. Do you have any tips on things...

would it be a bad idea to take these three math classes together for next fall semester (Fall 'o7) Number Theory Ordinary Differential Equations Introduction to Real Analysis I have heard good things about every one of the teachers, So I cam confident the teaching will be good. My...

Don't take one from this guy. This link has been around for a while, but this may be a good time for a refresher view.

So I have decided to take some electrical engineering classes. I am a physics major and am pretty certain that I want to study physics at graduate school as well. I will be able to finish almost all of the required physics major courses by the end of my sophomore year. I want to take some EE...

Does anybody else here find that their physics classes - while providing an acceptable working understanding of the maths involved, don't treat the mathematics with enough rigorousness for their students to be able to understand other discussions on the subject? I ask because I'm quite often...

I am a double major in EE and physics. I have taken all of the courses required of me (calc 1-3, DiffEQ, advanced engineering math, prob/stats) and I am considering taking 3 more math classes for a mth minor. I am looking at taking linear alg (of course), advanced calculus, and PDE...

Hey everyone. I'm getting ready to register for spring classes, and I'd like to get some opinions on some things. First off, I'm a sophomore in Electrical Engineering, and I plan on going to grad school for a masters. I talked to my advisor the other day, and we discussed projects he's working...

Hi, I'm trying to teach myself QFT, and I'm stuck with one formula in Part I of Weinberg's trilogy. I think I managed to understand how one gets Formula 2.B.7 in the appendix of Chapter 2, thanks to the information provided by Weinberg, but don't get 2.B.10, page 97. Could anyone one give me a...

I am in Aerospace Engineering and I am about ready to schedule for classes next semester. I was thinking about taking Calc 3, Physics 1, Thermodynamics, Auto Cad, and probably something else. As I have been looking at this I am thinking it will be a tough semester. I might think about...

I'm currently attending the University of Minnesota in the evenings, waiting for my wife to finish her Ph.D. I plan on going back for a B.S. in engineering, but I haven't picked a field yet. I'm currently taking Calc II, and have the following classes left to take before I start full time...

Show that the elements in a conujgacy class of a finite group all have the same order cl(a) = {xax^-1|x in G} G is finite G = {e,g1,g2,...,gm} cl(g)={e,c1,c2,c3,...,cn} finite for n =< m Then |e| | n , |c1| | n, |c2| | n, |cn| | n Well C1 =xgix^1 for some gi. any hint?

What is the "organic chemistry" class in math? Is real analysis considered by many to be this type of class? In your opinion, what have been your easiest/most difficult math classes (in ascending order)? Any feedback is appreciated Thanks

Hey everyone, I am a recently declared Physics major which means that this next year is going to be the year I start to really get involved with Physics. I am taking Introduction to Quantum Physics, Introduction to Astrophysics, and Differential Equations and Gen Chem I. I was also...

I was trying to understand how structs differ from classes in c++ and I came across this: http://carcino.gen.nz/tech/cpp/struct_vs_class.php I was wondering.. when would you choose to use a struct in c++ rather than a class?

9th grade teachers: "Kids, write a thesis that specifically states 3 different supporting topics" 10th grade teachers: "Write a thesis that is three-pronged, is factual, and supports the main point of the paper" And, happy new school year, all! What do I get in 11th grade English...

I will be attending Western Washington University this fall and just signed up for my first quarter classes today! Fortunately, I passed the AP Physics exam with a 3 so I was able to get a credit for that, and passed the Advanced Math Placement Test, and so was able to get into Calculus. My...

I am interested in DSP, for the coming semester, I can only take one signal processing class, and I have two choices that I am not exactly sure what they really are: 1) Statistical Signal Processing: Detection theory and hypothesis testing. Introduction to estimation theory. Properties of...

I am just trying to seek opinions from professional simply because my maths advisor said he doesn't know much about that field. I am trying to get into financial maths/financial engineering/computational financial program after my B.S in maths next year. According to my assumed timetable, I...