I am trying to solve an advanced heat transfer problem and I have a 2nd order ODE. I can solve the homogeneous solution easily, but I am having trouble with the non-homogeneous solution.Homework Statement
Given a turbine blade and asked to model as a one-dimensional fin, subject to the...
I am an electrical engineer 20 years from my last formal course in grad school. I wish to teach myself advanced optics, particularly diffraction theory, analysis of polarization using Jones calculus, aberrations, etc. I realize that my mathematics chops are sadly rusty through years of disuse...
I'm about to start my first year of studying mathematics. My university requires me to take quite a lot of basic courses in the first year and after that there are some strict limits on the number of courses I can take. This means that I will not be able to take all the courses I would like to...
Hey all.
I'm actually a math and chemistry major at the Univ. of Illinois Chicago. I have a competitive GPA, research experience, and an overal good academic history. What I'm trying to do is plan my advanced math courses to not only be functionable within my area of interests (engineering...
Hai friends! Currently iam doing australian advanced level in ACBT in Sri lanka.And i hope to get my bachelors in theoritical physics.So i want to know whether Uk universities will accept australian a/l i mean australian a/l =uk a/l ? Thank you!
Looking for an Advanced "How Things Work" book
Hey, I was just wondering if anyone knew of a book that was like a "How things work" book but written for someone who has a bachelors in the physical sciences, engineering of applied math or some such? I'd settle for a website. Like what I'm...
There are several reactions that one can have upon seeing the text Advanced Calculus by Sternberg and Loomis. (Those unfamiliar with this book can find it online here: http://www.math.harvard.edu/~shlomo/)
My reaction was simply to be surprised at the extreme discrepancy between the material...
Hi all, I'm a bit new here. I was unsure where to post this but this seems most appropriate to me.
Getting down to it, I'm interested in a number of topics in advanced physics. Specifically, I'd like to begin to do a bit of self-guided study on special/general relativity and eventually QM and...
This is a bit different kind of help that I need compared to most other threads in this forum. I was not sure of where exactly to post this. But, since it is pretty much homework, and it's for my AP Calculus AB course, I thought this would be an appropriate place to put this thread. If not...
Hi all.
I need a book on advanced numerical methods (note: methods, not analysis) suitable for an undergrad. I have already had a first course in numerical methods, the usual one an undergrad takes.
The topics the book needs to cover is:
Finite difference, finite elements and spectral...
I am a rising sophomore and am currently registered for Physics I (calc) and Calculus II. However, I am attempting a double major (phys, math), and have started late...so I would like to double up on my maths for the next 2-3 semesters.
I am currently learning Calculus II, so when I take the...
Hi everyone,
In my advanced quantum course (I'm a master's student) I'm supposed to give a 40 minute talk about something that I find interesting that is related to our course material (which is basically anything in quantum. We basically covered: scattering theory, many-body stuff...
Hi,
I'm looking for good textbooks or problem books for a 9 and 10th grade students. Maybe not as difficult as the AMC or IMO level math, but some problems that require some thought rather than just plug and chug formulas. For example, I want to find a good problem set for trig proofs, and...
capacitor problem! (Advanced)
Homework Statement
I am simulating a Biological system. For ease just consider it as a parallel plate capacitor. Now the simulation software takes the value of charge Q, but not the value of V. Now as C=Q/V, can we say that the charge Q of a parallel plate...
Hello all,
I usually consider myself to be quite good at most things math and physics related, but compared to some of the people here, I'm sure I'm very terrible at it.
I have a very advanced projectile motion problem that I need to solve (not for school). I'm trying to contact everyone...
Homework Statement
let L(x)= integral from 1 to x: 1/t dt. Show that L:]0,infinity[--->R is continuously differentiable. show that L(xy)=L(x)+L(y) for all x,y in ]0,infinity[.
hint: let L1(x)=L(xy) and compute L'1(x)
you don't have to solve it for me, just lead me in the right...
I somehow managed to get Bs in two calculus courses and was pretty confident that in a pinch I was capable of doing work involving lagrange multipliers, Green's theorem, convergences of improper integrals, and such. My textbook was multivariable calculus by Larson and Edwards which I was sold...
For example what is the difference between an intro mechanics or E&M course and an intermediate level one? What about an advanced one that you would take in grad school?
Questions: Where can I obtain the most advanced published papers regarding valid unification theories? If there are none, which published papers will get me closest when combined in their respective categories?
Comment: It is obvious to me through speculation, physical laws have yet to...
I'm planning on taking a 3-year Advanced Diploma in a college for Electromechanical Engineering Technology. If I do well in this program, then I will transfer to an undergraduate engineering program at some university.
I've been thinking, if the Technology program is equivalent to just some...
Hello,
I am not a physician but I am a new Ph.D. student in computer vision.
Despite this, I often get the feeling that the mathematics involved in computer vision or computer graphics is somehow similar to the one used by physicians, though this is not always true.
Few examples are vector...
OK. I'm scared... this is the book I just got that one of my classes is using, and, reading the reviews on amazon ... well, you be the judge. I've never seen so many 1 star reviews for a textbook:
https://www.amazon.com/dp/0534399002/?tag=pfamazon01-20
Has anyone used it? (this is the...
I am having problems understanding this. Could someone explain how to arrive at the answer for this problem . (-5/2)(x)(x+3)^(-3/2) + (5)(x+3)^(-1/2) Thank you
It says to factor and simplify. Express the answer as a fraction without negative exponents.This is where I get to...
At the last class of our professional seminar, the head of our graduate department came and spoke to us about graduate school admissions and enrollment. It got me interested in the subject, because my industry interests include areas like energy research, robotics and space engineering. I have...
Homework Statement
A dis of mass (m) and radius (r) with I=(1/2)(m)(r^2) is rolling down an incline dragging with it a mass (m) attached with a light rod to a bearing at the center of the disc. The friction coefficients are the same for both masses, Uk and Us.
Determine the linear...
is the chances pretty rare that advanced and intelligient life exists somewhere else in our universe, I mean it seems like we got pretty lucky here on Earth to get these conditions to have such abundant life. I am not doubting that bacteria and other simpler organisms exist elsewhere but it...
Suppose f is defined in a neighborhood of x, and suppose f '' (x) exists. Show that:
lim [f(x+h)+f(x-h)-2f(x)] / h^2 = f''(x).
h->0
Show by an example that that the limit may exist even if f '' (x) may not. (hint: use lHopital's Theorem).
Proof:
f '' (x) exists implies...
Would it be more beneficial to take graduate courses in your B.S. major in place of electives than taking physics classes? I would like to take as many physics classes as possible but if it will help me get into graduate school or be a better engineer i would want to take graduate courses
Homework Statement
Suppose f: [a,b] -> R and g: [a,b] -> R are both continuous. Let T = {x: f(x)=g(x)}. Prove that T is closed.
Homework Equations
If a function f: D -> R is continuous, then for each E > 0 there exists a delta >0 such that if |x-x0| < delta (for x, x0 in D) then...
Homework Statement
For the sequence defined recursively as follows:
a_1 = 2, and a_(n+1) = 1/ (a_n)^2 for all n from N.
Homework Equations
So, we are supposed to use induction to first fidn if the sequence increases or decreases, and then use induction again to show if it...
Homework Statement
Suppose that the sequence {a_n} converges to A. Define the sequence {b_n} by:
b_n = (a_n +a_(n+1) )/2
Does the sequence {b_n} converge? If so, specify the limit and prove your conclusion. Otherwise, give an example when this is not true.
Homework Equations...
Hello to all,
I'm solving one interesting problem that basically tailor to the problem in attachment.
I'm pretty much sure I'm on the right track, but my knowledge of math became little rusty since colledge, so I need to ask fo confirmation.
Please have a look and tell me if I wrote these...
Homework Statement
Prove that: ⋂_(n=1)^∞▒〖(0,1/n]=∅〗
Homework Equations
If tried with mathematical induction, we would need to know the procedure follows:
This would be my P(n) statement: ⋂_(n=1)^∞▒〖(0,1/n]=∅〗
now we would need to find out if P(1) is true and then assume...
Homework Statement
Prove that: A is a subset of B if and only if (A intersection B)=A
Homework Equations
The Attempt at a SolutionI tried proving the right side, that is
(A \cap B)=A
For two sets to be equal then they have to be subsets of each other...so:
(A \cap B)...
If anyone of you got the book Advanced Calculus 2e by Fitzpatrick I would appreciate your posting of the questions 14, 15, 16 on page 20. My order of the book hasn't reached me but I need to turn in the homework tomorrow. I just need the questions.
Thank you.
Hey!
Well, we did the lemon battery in school. Re-did it at home. Played with my flashing LED's... And then realized I have to make a documentation on it. (boring part)
Anyway, the simple one page thing has grown to 5 pages. Teacher better like it. hehe.
2H+(g) + 2e- → H2 (g) is the...
Homework Statement
integrate dy/dx = (1+e^y)(1+x) from x=0 using the improved euler method taking step sizes of 0.125. compare the numerical solution of y(0.5) with the exact value
The Attempt at a Solution
Firstly to find the exact value I use separation of variables and the initial...
I was wondering if someone could just tell me whether or not Most of intro and all of advanced Physics is primarily built upon Calculus and any other advanced Math topics. I know that high school physics usually teaches physics from a non-calculus point of view but I am specifically referring to...
I wish to know whether there are free softwares available for doing calculations in quantum mechanics, special and general theory of relativity, quantum field theory and similar fields. Are there any computer related experiments for theoretical physics?
I was wondering what the difference was between textbooks or books that teach Algebra at different levels (elementary, intermediate etc.) and College Algebra. Do College Algebra textbooks cover all levels of algebra and more, or is this some advanced new algebra.
P.S. Not referring to linear...
Hi,
I will be teaching myself advanced mechanics over the next few weeks. Is it better to start with a modern book using all the new mathematics (manifolds etc.) or with an older one like Goldstein or Landau first?
Hi guys,
I'm finishing up a term project in a numerical analysis course, and one of the last things left that I need to do is provide a brief survey of the methods used by modern researchers to solve the 2-D wave equation initial boundary value problem. My group solved this equation for an...
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...
I had some questions...
1. How come garlic extract increases the hayflick limit?
http://www.smartskincare.com/aging/aging-mechanisms_cellular-clock.html
2. How come feeding the cell more results in its growth in size?(if that's so then why don't liver cells grow?)
3. I have read...
Homework Statement
"Consider a bead of mass m that is free to move around a horizontal, circular ring of wire (the wire passes through a hole in the bead). You may neglect gravity in this problem (assume the experiment is being done in space, far away from anything else). The radius of the...