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Math Help - Lower Grade Level for Trig and Algebra ?

  1. #1
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    Lower Grade Level for Trig and Algebra ?

    Hello, I need some resources or books that can teach Trigonometry and Algebra that relates to vectors, matrices etc at a lower grade level to understand the basics, before moving up the ladder, any online or book suggestions ?
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    Re: Lower Grade Level for Trig and Algebra ?

    Hey GreyWolf.

    I don't know about any specific resources that meet that need, but one thing that you can do is discuss the rotation matrix. This will link all the topics together in a nice fashion.

    The idea is that you start off in 2D and you want to rotate a point some angle. So you start with a point (x,y) rotate it (x',y') and then construct the matrix to take (x,y) to get (x',y') where (x,y) = x, (x',y') = b and Ax = b where A is a 2x2 matrix.

    You can derive this using some basic trig addition laws for sin(a+b) and cos(a+b) which can be proved either geometrically or otherwise. Once you do this you derive your rotation matrix and then introduce matrix multiplication where Ax = b and you can look at the inverse process to get x given b by using x = inv(A)*b, and show that inv(A) simply rotates by the negative of the angle by showing that you get -theta instead of +theta.

    That should link up matrices, vectors and trig nicely.
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    Re: Lower Grade Level for Trig and Algebra ?

    Quote Originally Posted by chiro View Post
    Hey GreyWolf.

    I don't know about any specific resources that meet that need, but one thing that you can do is discuss the rotation matrix. This will link all the topics together in a nice fashion.

    The idea is that you start off in 2D and you want to rotate a point some angle. So you start with a point (x,y) rotate it (x',y') and then construct the matrix to take (x,y) to get (x',y') where (x,y) = x, (x',y') = b and Ax = b where A is a 2x2 matrix.

    You can derive this using some basic trig addition laws for sin(a+b) and cos(a+b) which can be proved either geometrically or otherwise. Once you do this you derive your rotation matrix and then introduce matrix multiplication where Ax = b and you can look at the inverse process to get x given b by using x = inv(A)*b, and show that inv(A) simply rotates by the negative of the angle by showing that you get -theta instead of +theta.

    That should link up matrices, vectors and trig nicely.
    I don't understand I know vectors are rows and combined are matrices. I want to get a basic understand, I'm still not understanding What are dot products, etc
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    Re: Lower Grade Level for Trig and Algebra ?

    Quote Originally Posted by GreyWolf View Post
    I don't understand I know vectors are rows and combined are matrices. I want to get a basic understand, I'm still not understanding What are dot products, etc
    This is a great resource. It is relatively inexpensive. It requires no calculus.
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    Re: Lower Grade Level for Trig and Algebra ?

    Quote Originally Posted by Plato View Post
    This is a great resource. It is relatively inexpensive. It requires no calculus.
    Any other book that breaks Vectors, Matrices, Dot Products etc, down almost to laymen terms, then I can gradually go up from there ?
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    Re: Lower Grade Level for Trig and Algebra ?

    Quote Originally Posted by GreyWolf View Post
    Any other book that breaks Vectors, Matrices, Dot Products etc, down almost to laymen terms, then I can gradually go up from there ?
    Frankly, that response mystifies me. What does it mean?
    You always must start at some level of mathematics understanding.
    The reference I gave you assumes nothing beyond basic pre-calculus.
    Look, the study of vectors is not for amateurs.
    You really do need to know basic calculus.
    However, this is another book. Look for a text by h.m. schey.
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    Re: Lower Grade Level for Trig and Algebra ?

    Quote Originally Posted by Plato View Post
    Frankly, that response mystifies me. What does it mean?
    You always must start at some level of mathematics understanding.
    The reference I gave you assumes nothing beyond basic pre-calculus.
    Look, the study of vectors is not for amateurs.
    You really do need to know basic calculus.
    However, this is another book. Look for a text by h.m. schey.
    At what grade level is Algebra and Triganmonety taught ? I need something that gets the mind started, jumping into it too far, I won't learn, my focus is on vectors and trigonometry with 3D shapes ? I hope that helps, imagine if you will, you knew almost nothing or forgot alot of this stuff, you don't have a personal teacher, so you need a book to get the mind started, that is basic, that can break down how a vector works, how a matrices works, what is a dot product etc. Explaining all of this, without fancy equations, but simple ways to understand, from that point once ready I can move up the latter.
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