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Help me understand Math by studying on my own without a lecturer

  1. Aug 8, 2011 #1
    Hi guys,

    I just registered before I go to work so I hope I'm allowed to ask this question here. If not I apologise, I'm quite in a hurry before work.

    1. The problem statement, all variables and given/known data

    I am completing my bachelors in Telecommunication through a distance education University from my home country. Why don't I study in the states? Well it will be more expense and have to transfer subjects etc etc.

    I'm doing Engineering Mathematics IV and haven't done math in a while. Please if someone knows of some good resources on the web where I can learn the below sections it will be appreciated. I have a textbook but they use "higher english" if that makes sense. English is my second language and i'm fluent but the way the textbook is written is confusing.

    I'm not looking for a spoon feed or anything, I study at least 3hrs a day and watch a lot of videos on subjects. The below ones I can't really seem to find any good sources that explain what they are and how to compute them.
    Maybe if it's possibe, can you tell me what I need to know before I attempt these type of questions? I'm not totally lost but it takes time to tackle a new subject so if I can know what I need to know before hand then it will speed things up. I love math, just not when I'm stuck. :)

    Here are some sections I need info on.

    Complex Anaysis - mapping onto the w-plane from z-plane
    Laurent Expansion
    Show that the integral has a contour integral for a suitable path
    How to find the transfer function of a given differential equation
    The state space model using Laplace
    How to determine the response of a system if a forcing function is applied at t=0
    Write down the transfer function of a system initially in a quiescent state, and
    show that it is not stable using the Ruth-Hurwitz criterion.
    What is the state space model ex. x= AX + Bu; y = Cx
    Method of convolution
    Write down the difference equation if given a z-transform
    How to solve state space equations by taking z-transforms and inverse matrix


    Sorry I know it's a lot and probably confusing, I'm trying to finish this before work. It feels like I'm in over my head even though I'm studying every day like a book worm. I have to do a lot of catching up regarding simple calculus too coz I haven't done it in 6years.

    Any advice would help. Thanks guys.



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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