advanced Definition and 536 Threads

  1. M

    MSc Materials Science or MSc Advanced Composites & Polymers

    Would anyone here have an opinion on whether either of these MSc courses is better to have when looking for employment later? I'll already have a BSc Physics. 1) MSc Materials Science (at a much better ranked university than below, and includes some programming) 2) MSc Advanced Composites &...
  2. P

    Advanced mathematics in theoretical physics

    Hi everyone, Please refer me to a very advanced mathematical physics reference that has applications in theoretical particle physics. I have seen the book Howard Georgi in Lie Algebras in particle physics but want more advanced ones. Any ideas would be very appreciated.Paul
  3. A

    MHB Advanced probability formula help for a relative layman

    Hi, I have my GSCE in maths but since then have not been that involved with it. Recently I've got very interested in probabilities, statistics with particular reference to modelling tennis match outcomes. I'm struggling to break down and understand the below and what I'd like to do is...
  4. PhysicsKid0123

    Solve Advanced SHM Problem: Get Expert Guidance

    I have a homework problem I need help with. I don't want the answer given to me since I know I can answer it with the proper guidance. How should I approach this problem? This is what I have so far. How should I approach this? Did I start off right? Thanks in advanced!
  5. PhysicsKid0123

    Solving Advanced SHM Problem: Tips & Guidance

    I have a homework problem I need help with. I don't want the answer given to me since I know I can answer it with the proper guidance. How should I approach this problem? This is what I have so far. How should I approach this? Did I start off right? Thanks in advanced!
  6. L

    Advanced One Dimensional Kinematic Problem

    A car is traveling at 25 m/s when it runs off the road and hits a utility pole. The car stops instantly, but the driver continues to move forward at 25 m/s. The airbag starts from rest with a constant acceleration from a distance of 50 cm away from the driver and makes contact with him in 9...
  7. N

    How can I go from high school level to understanding advanced optics?

    I've long had a fascination with optics and have deicded to study it seriously. I want to go from high school level education to being able to understand ’ðs; xÞ ¼ Ai s  x 2  2 þ iax " # exp as  ax2 2  ix3 12 þ ia2 x 2 þ is x 2   : or something to that effect. I want to...
  8. Q

    How many Advanced Engineering courses in semester?

    I want to get done by 2017 or before...I started college in 2012 and switched major to Electrical Engineering , double major Philosphy :D come next summer I'll have the core engineering classes remaining and 7 philosophy courses to get that degree. My question is how many advanced...
  9. M

    Schools Need Help with Advanced (Past AP) High School Courses

    I'm going into Senior year. I live I have taken 9 (3 I paid for so they don't count as dual enrollment) dual enrollment courses and next year I'm taking 4 more. I've reached my limit on college dual enrollment courses yet I have 2 spots in my schedule. I would like to use these to take...
  10. W

    Advanced calculus like Sternberg's but less abstract

    I've read Spivak 's calculus so I tried Sternberg 's book,IT IS kind of hard,because the abstraction is put upfront,I know of his other book with Bamberg, but a review on amazon deterred me from buying it,was I right in doing so? Any adv.Calculus book that have some physics in it like Sternberg's?
  11. V

    Understanding advanced technology

    The scenario is the following: A society that is less advanced than the one producing a certain technology is exposed to the latter. The person who finds the device/fragment in question is either a A, layman, a B, trained engineer or an C, inventor/visionary, and the technology might range...
  12. R

    Freshman schedule help: advanced physics & chem? calc3/lin.alg/diff.eq

    I am going to be an incoming freshman for engineering (undecided, big 4). I am building a schedule that I don't know how to build. Scored 5 ap calc bc. *** My schedule list is * **English**: Freshman Composition (Honors maybe, i don't think this matters much) * **Math**: Calc 3/Lin...
  13. M

    Finding Advanced PDE Resources for Meteorologists with a Math Background

    I am a meteorologist with Bachelor's Degrees in both Meteorology and Mathematics. I took an intro PDE course in college, but want to learn more. Can anyone suggest a book that would be a good book after only having an intro course? Thanks.
  14. T

    Advanced atomic physx: From Liouville Equation to the Bloch equations

    This question was on Stackexchange, and no one was able to solve it. So now I'm posting it here, and I wish someone could help. I'm trying to derive the Bloch equations[1] from the Liouville equation[2]. This should be possible according to this paper[3], where it discusses higher order Bloch...
  15. H

    Why are advanced finite-element methods not more popular?

    Hi, I'm an engineer who uses a lot of finite-element software for doing multiphyics modeling. I've been learning a lot about the foundations of the finite-element method, but I have a particulary nagging question that I havn't been able to get a satisfying answer to: Why do most finite-element...
  16. C

    Seeking Advanced Text In Mathematics/Mathematical Physics

    I'm majoring in physics and I'm about to take a course entitled Mathematical Methods of Physics. It covers Sturm-Liouville Theory, Integral Transforms, Fourier Analysis and PDEs. I read in the thread "So you Want to be a Physicist" that ”Mathematical Methods in the Physical Science” by Mary...
  17. R

    Advanced numerical solution of differential equation

    Show that the explicit Runge-Kutta scheme \begin{equation} \frac {y_{n+1} -y_{n}}{h}= \frac{1}{2} [f(t,y_{n} + f(t+h, y_{n}+hk_{1})] \end{equation} where $k_{1} = f(t,y_{n})$ applied to the equation $y'= y(1-y)$ has two spurious fixed points if $h>2$. Briefy describe how you would...
  18. C

    MHB How Can You Calculate the Area of a Polygon Using Coordinates?

    I have been given various corners which are x and y coordinates for a shape. The coordinates are listed in a vector e.g. xpoints = [x1, x2, x3, …, xn, x1] and ypoints = [y1, y2, y3, …, yn, y1] so that corner 1 would be (x1,y2) and corner n would be (xn, yn). I have listed the first point last so...
  19. J

    Windows SW for advanced data analysis

    I wrote this small Excel macro to gather data from vehicles database: Sub ImportCarQueryDB() Call JSON2Excel("2,3,4,8,12,14,20,21,26,27,28,29,31,32,33") ' Specify which fields to extract/import End Sub Sub JSON2Excel(ByVal fields As String) Filename$ = "C:\temp\fiat2.txt"...
  20. R

    MHB Advanced Numerical solution of differential equations

    i) IF $\frac{dy}{dt} = - \frac{∂H}{∂z}, \frac{dz}{dt}= \frac{∂H}{∂y}$ where H is a function of $y$ and $z$, show that $H(y,z)$ is constant in time. ii) Take a $H(y,z) =Ay^2 + 2Hyz + Bz^2$ where $A,B,H$ are constants and show that solutions of the system lie on ellipses. iii) Apply the...
  21. Crush1986

    Challenging Yourself in Physics: Recommended Textbooks for Advanced Students

    Hi all. First year physics student here. I'm doing very very well in my course at my Uni (A++ after first midterm) I study by doing an insane amount of problems from 2 books. Both are about the same difficulty to me (Halliday, and the other is Young) is there a book anyone knows of that might be...
  22. R

    MHB Advanced topic in numerical solution of differential equation

    Investigate the stability of the PECE method where P=Predictor : y_(n+1) = y_n + hf(y_n) C=Corrector: y_(n+1) = y_n + h [(1-θ) f(y_n) + θ f(y_(n+1))], (0<θ<1) and E is the evaluation step. => substituting the predictor into corrector gives:y_(n+1) = y_n + h [(1-θ) f(y_n) + θf( y_n+ h f y_n...
  23. M

    Stability Analysis for Implicit Euler Method with Negative Amplification Factor

    Fint the modified equation when the implicit Euler method is applied to y'= f(y). If f(y)=λy, where λ is negative. what is the effect on the amplication factor? => y ' = λ * y dy / dx = λ * y dy / y = λ dx ln y = λ* x + C y = Ae^( λ* x ), the constant factor does not depend on λ. i...
  24. T

    Quantum Physics Science Advanced Project

    So, I love physics and math. I have my first Science fair coming up, and I've dreamed about this day since I was five. Putting my knowledge into work that my peers can judge, and maybe spark interest in Physics for someone else. What project could I do that is Quantum Physics or really any...
  25. R

    MHB Advanced topic in Odes 2

    For the equation dy/dt =y(1-ky), where k is a constant,find the fixed points and investigate their stability. what are the fixed points of the modified Euler Scheme applied to this equation and what is their stability? => dy / dt = y ( 1 - ky ) dy / dt = y - ky^2 dy / dt - y = - ky^2 Let v...
  26. R

    MHB How Does the Implicit Euler Method Affect the Amplification Factor for y' = λy?

    Fint the modified equation when the implicit Euler method is applied to y'= f(y). If f(y)=λy, where λ is negative. what is the effect on the amplication factor? => y ' = lambda * y dy / dx = lambda * y dy / y = lambda dx ln y = lambda * x + C y = [ C / lambda ]e^( lambda * x ) This is what...
  27. W

    Questioning Light Speed: An Advanced Physics Mystery

    Hi everyone, First I want to say that I hardly know anything about advanced physics, and I'm just looking to ask something that I've been thinking about for a while. So I'd also appreciate if you kept the explanation somewhat understandable :P Anyway, here's my question: If light from...
  28. M

    Does Physics get more abstract with the more advanced topics?

    In high school I absolutely hated Physics. The class was just all about memorizing formulas and stuff, and I thought I wasn't learning anything useful for real life. Yet now that I'm older I have re-discovered my passion for science and I'd like to give the subject another try. The Internet...
  29. youth4ever

    MHB Can Complex Integration Solve These Advanced Calculus Problems?

    Hello my Math friends, I have a complex integration problem: The integral to calculate is : Integrate[Cos [mx]/(x^2 + a^2), {x, -Infinity, Infinity}] or if particularized for a=1, m=1 the integral will be : Integrate[Cos [x]/(x^2 + 1), {x, -Infinity, Infinity}] I know the answer for both of...
  30. Hepth

    Advanced : HQET Derivative manipulation

    This is a semi-advanced question for anyone with HQET experience. When you expand out the Lagrangian, as well as the wave functions, you get things like the equation of motion that are expressed in terms of the covariant derivative and the heavy quark velocity : \def\lts#1{\kern+0.1em...
  31. T

    How Can You Represent a Linear Transformation with a Block Matrix Form?

    Homework Statement Let T: C→D with dim(A)=n and dim(B)=m. Show that there exists bases B and B' for C and D, respectively, such that the matrix of T in block form is M=|I 0| |0 0| where I is a k by k identity matrix Homework Equations The Attempt at a Solution Honestly no idea...
  32. P

    What advanced math courses would you recommend for grad physics?

    Hi guys, I'm currently an undergraduate, but I'm going for a simultaneous Bachelors/Masters in Physics. I've already taken advanced math courses in the following subjects: Combinatorics, Real Analysis, Partial Differential Equations, and Numerical Analysis, and I have also studied some Gamma...
  33. E

    Applications of Advanced Math to Mechanical Engineering

    Hey Everyone! I was wandering what applications (if any) advanced math topics like topology, functional analysis, abstract algebra, etc. have in Mechanical Engineering. Thanks a lot!
  34. S

    Nice Resource to learn Advanced Calculus

    Greetings everyone, I know this is not the right place for this post but I cannot post in the science education subforum so I post my question here. I need a good resource - textbook, online resource, video lecture etc.- that explains the multivariate calculus really well; the topics I want...
  35. P

    Advanced Project - Wheatstone Bridge for TCR measurements

    Advanced Project -- Wheatstone Bridge for TCR measurements Ok, so I have to do this experiment on my own as part of my coursework this year and I picked something called the temperature coefficient of resistance. I think I basically have to determine the TCR or copper and I'm almost...
  36. N

    Advanced Control Systems in Cambridgeshire: Find a Provider

    Can anyone recommend a company that provide advanced control systems for marine and civil engineering in the Cambridgeshire area? Thank you
  37. M

    Advanced Physics Mentor: Find a Qualified Tutor

    Hello, Ever since I can remember, I've been trying to create models of reality that would help me understand the world around me. I have this innate obsession of understanding the world, and I always end up burning the midnight oil, studying topics that I'm not familiar with (mostly physics...
  38. A

    Advanced numerical analysis - numerical integration

    If I have a x,y table of discrete datapoints with a discrete dataset, such that delta x is not a constant, what are some of the more advanced techiques that I can use to integrate this? I remember that there were Trapezoidal rules and Simpson's rule where delta x IS a constant (and there are...
  39. C

    Mech E specializations: Thermal/Fluids vs Advanced Dynamics/controls

    Which one would you choose for a MS concentration? And which field would be more theoretical and have more opportunities? sorry if I posted this in the wrong forum.
  40. C

    Good resources for more advanced fluids?

    I'm trying to understand some fluids concepts that don't seem to be covered in very much detail in introductory fluid mechanics textbook. Specifically, these topics include pumps (gear pumps mainly) and shear-thickening fluid behavior in pipe flows and in said pumps. Any ideas on good...
  41. ajayguhan

    Advanced Engineering Maths: Is Erwin Kreysizg Enough?

    I'm 1st year mechanical engineering student, I'm following "advanced engineering mathematics" by Erwin kreysizg. Is that book enough for the mathematical content for the next four years or else is there any more advanced math that i must take up after finishing erwin kreysizg.
  42. A

    How Do You Solve the Equation 4^x + 6(4^-x) = 5?

    Homework Statement 4^x + 6(4^-x) = 5 Homework Equations log? since this is the unit we are doing, but I'm not sure if it applies. The Attempt at a Solution I was thinking of changing 4^x to a variable like 'a', but 4^-x is not the same so I can't replace that with 'a' as well...
  43. M

    Stepping down from an advanced calculator

    This is kind of sad, but I'm beginning to realize how much I rely on my graphing calculator any more for solving equations and whatnot. I am trying to incorporate a much simpler calculator from time to time (CASIO fx-260) and am struggling with some very basic operations. Say I have the...
  44. N

    Advanced EM Field Book Using Differential Forms

    Hey guys, I am wondering whether there is any book out there that approaches EM field using differential form and on the same or more advanced than Jackson, I have a solid knowledge of differential form and algebraic topology, thanks :D
  45. S

    What are the recommended advanced math subjects for an electrical engineer?

    After Linear Algebra, Ordinary Differential Equations, Partial Differential Equations, Complex Analysis, Numerical Methods, Numerical Methods for Partial Differential Equations, what math subject comes next? List as many math subjects as possible. But they need to be in order.
  46. M

    Setting Up an Advanced Mathematics Equation

    Homework Statement Twice the supplement of angle 0 is 104 degrees greater than four times the complement of angle 0. Find 0. Homework Equations The Attempt at a Solution I'm not sure where to begin. I'm good with angle relationships, all I need is the equation.
  47. M

    Advanced life following a universal handbook

    I was having a discussion with my friend about alien life and we both kinda agreed that for life to be intelligent, it must follow the same path as all intelligent life in the universe. If we say that all life through the universe is Darwinian, then for a species to be intelligent it must have...
  48. L

    How to deal with conceptual Physics after learning advanced math?

    Hi all, I've started the course of Physics at college last year and I need some advice right now. My main areas of interest are General Relativity and Quantum Mechanics, and these theories as well as every math needed to understand them wouldn't be covered in the course in detail (General...
  49. M

    Will advanced technology lead to socialism?

    In a truly technologically advanced society everything is available to all for little money. If such a thing does not happen then there is no technological progress. In 1983 the Motorola DynaTAC 8000X cell phone was 4k and as heavy as a brick. The battery only lasted a 1/2 hr. Nowadays...
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