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Math Help - Engineering Mathematics, Need Help ASAP

  1. #1
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    Engineering Mathematics, Need Help ASAP

    Hi there people, I have just joined looking for some math help at a rather late stage for my requirement and i will give a brief intro of the problem in the hope someone can help.

    I am currently studying Electronic Engineering at University of Liverpool, I am a second year student required to complete 3 Math modules this year, all of which I have failed.

    I have always been somewhat of a failure at mathematics, against all explaination and understanding since I am a top student at all other areas of my subject. I think my lack of understanding of this general sort of mathematics is down to a lack of interest or interest in learning the methods.

    I have always found maths lectures and lessons boring, possibly the worst thing i have to sit through but either way it has to be done.

    Now, to my present problem, in 2 days time i have to resit the first of 3 mathematics exams i failed. Followed a day later then three days later by the second and third.

    These exams are not what i would call Adanced level as such, probably no higher than A level. (I don't know if people here understand the UK grading system, this is an American/Canadian site right?)

    Anyway, I failed A level also, and pretty much any other maths exam I have been asked to do.

    What I need if possible is some aid, not specific as such but general learning on specific types of questions and how best to tackle them. I have past papers I am attempting to work through and have various parts (most) which I am unable to do.

    If nobody minds I would like to use this thread to post various questions, fairly fast paced, for replies on how to answer or a way to remember the method of answers such questions.

    Maths does make me feel stupid and I apologise for the level of these questions, are probably quite simple to most, however I do have (excluding maths exams) a 94% average in my subject which is one of the most difficult my department has to offer. (Hence why nobody can understand why i am not capable of what should be simple maths).

    Ok, on that note, I will begin with a couple of things that have me stuck at the moment starting with the first question of the paper.

    1. State the maximal range and domain of the function:

     <br />
f(x) = e^x - 1<br />

    Sketch the graph of y = f(x), indicating the co-ordinates of any points where the graph crossees the axis.

    NOTE: I would like to stress that unless otherwise stated it is not the direct answer I require but an explanation of the method of solving such question. (The question i will be given should be the same form in each paper with nothing more different than a change of the function or the variables, the questions and layout should be the same.)

    ===========================================

    2. This question has me both in terms of working it out and also the actual answer, I have the solutions sheet and i cannot for the life of me obtain the answer shown in the sheet nor see a way of possibly obtaining it.

    2. Maclaurin series expansions

    by evauating f(0), f'(0) and f''(0), obain the maclaurin series expansion of the function:

     <br />
f(x) = 1/sqrt(1+3x)<br />

    Upto and including the term in X^2.

    I will leave it there for now at those two questions which are the simplest in the paper until i receive a response and posible if you require me to format the questions differently. Thanks and i await a reply.
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  2. #2
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    Quote Originally Posted by Alias_NeO View Post
    If nobody minds I would like to use this thread to post various questions, fairly fast paced, for replies on how to answer or a way to remember the method of answers such questions.
    Not a good idea. Instead post your questions in the Calculus subforum (that is what I assume most of them are). If you want to review them click on your username and click "find all post by this user". It will take you to a page of all post that you made and started. With that you will be able to find all your questions.
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  3. #3
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    Hmm

    Unfortunately not, the paper consists of various areas of mathematics, infact your assumption that most of them are Calculus is wrong infact most of them are not. Some however i do not know which category they should fit into (because i simply don't know what form of maths they are) and so do not know where to put them.
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  4. #4
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    Quote Originally Posted by Alias_NeO View Post
    1. State the maximal range and domain of the function:

     <br />
f(x) = e^x - 1<br />

    Sketch the graph of y = f(x), indicating the co-ordinates of any points where the graph crossees the axis.
    The domain in the sense you want it is the set of real numbers on which f(x) is defined, and the range is the set of real numbers which are the values of f(x) for some x in the domain.

    Now e^x is defined for all real x so the domain is the entire real line. As x ranges over the real line e^x ranges from 0 to +\infty so the range of f(x) is (-1, \infty).

    RonL
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  5. #5
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    Thanks

    Thank you, that makes sense, so is the range, the values of y for which the function is valid?
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by Alias_NeO View Post
    Thank you, that makes sense, so is the range, the values of y for which the function is valid?
    The range is the set of y's that can occur as the value of the function fro some x in the domain.

    RonL
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  7. #7
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    Excellent

    "Gotcha" - I see now. Thanks, Will start a new thread for the next question, maclaurin series expansion, not sure which section that should go under?


    NOTE** I have sat the paper and so no longer require help with this one. Thank you.**
    Last edited by Alias_NeO; August 30th 2007 at 07:10 AM.
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