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Example 1

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If P is the point (9, 4, 7) what are the angles alpha. beta and gamma made by the vector OP with x, y and z aexes, respectively?

[size=18pt]Solution[/size]

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Example 2
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please do you have idea on computational mathematics please give me an intro a new course that am about to study

What topic are you studying?

1. Computational Fluid Dynamics
2. Colloquium on Computational Complexity
3. Algorithms  Computational

I am into computational differentiation/differential calculus. Are you into pure or applied Mathematics?

These are the units that computational Mathematics students undergo. For readers information, Computational Mathematics, a hybrid program that sits at the intersection of mathematics and computer science.

First year

1. Fundamental Mathematics 1
2. Fundamental Mathematics 2
3. Statistics (Discrete and Continuous)
4. Software Development 1
5. Mathematical Methods 1
6. Software Development 2

Second year

1. Mathematical Methods 2
2. Ordinary Differential Equations
3. Numerical Algebra and Calculus
4. Data Structures and Algorithms
5. Symbolic and Declarative Computing and Artificial Intelligence
6. Numerical Solution of Ordinary Differential Equations
7. Statistics and Experimental Design

Third year

1. Real and Complex Analysis
2. Partial Differential Equations
3. Decision Support Systems
4. Programming Language Theory and Semantics

Elective options

5. Mobile Networks Performance Modelling
6. Technical Investigation and Report
7. Continuum Mechanics
8. Formal Methods
9. Computer Graphics
10. Digital Image Processing
11. Artificial Intelligence for Games

Solution for Example 2

You can also view vector from MIT here

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Integration
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I am in applied mathematics year 3 unilag. the course includes topics like:

error analysis,
interpolation linear and non linear eqn,
curve fitting,
numerical soln of algebraic and transcendental eqn,
numerical diff and integration,
initial value problem for ordinary diff eqn.

let me know do one you can start with me i learnt that the course is some how

thanks

Advanced statistical mathematics and Linear algebra. I have a mod here for your interest.

I am in my first year Applied Mathematics Greenwich University, London England. I am not very bad with Maths and Stats. I really don't like proofs.

Can ayone prove this de Moivre's Theorem? I need a short course on Pure Maths

write de movire's and use binomial expansion
cos is the real part then you will use trig identity
to arrive at your answer.

[s]The solution is not of Binomial expansion but of de Moivre's.  Although de Moivre's can be derived from Euler's formula that use Taylor series expansion.
[/s]

/You really gat energy mayne. . .

Umm. . .Webmonkey can you please help me with very good E-books on Electrical Engineering, Mechanical Engineering, Computer programming and Workshop Technology or to make it easy for me you can pass me a very reliable site where i download these.

I really need vital books on applied mechanics.

I will be awesomely grateful mayne! Thanks.

Give me sometime, I will go through my firefox Bookmarks and add some useful links for computational algorithms, Maths and Mechanics. Have a look here to see some video from MIT, Linear Algebra. If you are into those kind of things let me know by detailing your particular interest.

I am preparing for exams for January, so I could be a little busy for now. I am going through Linear Algebra, Statistics and Discrete Maths revisions.

What computer language are you into? Or are you particularly concern about their semantics?

you can help me go thru firefox to get material on computational mathematics that inculdes
those topics that i posted, you can help me get material on ring theory

You want information on these topics?

1. Error analysis
2. Interpolation linear and non linear eqn,
3. Curve fitting,
4. Numerical soln of algebraic and transcendental eqn,
5. Numerical diff and integration,
6. Initial value problem for ordinary diff eqn

Do you have access to MatLab and MiniTab?

No i don't have access to matlab and minilab pls i will like you help out,
i really full explanatory note on those topics because that is my area of
specialisation.I will be expecting your response.

@webmonkey

A close cylindrical tank of radius 50ft and height of 72ft is to be painted on the top and the sides with a paint of thickest 0.01in. About how many gallons of paint (231in^3 = 1 gallon) are required?

Hint: The volume of a cylinder is given V = pir^2h





Hi webmonkey. Sorry I've not been online until yesterday (celebrating Christmas). I saw the above question you posed at me and honestly I wasn't able to so;lve it completly without nhaving a peep at the solution you gave. I'm okay with the elementary part of differetial calculus (1st principle, product rule, chain rule, log, quotient rule, explicit differentials and exponentials). You should pls give more tutoring on application of differentiation and then move on to Integral calculus (specifically trapezium rule, integration by parts and by partial fractions. I just got thru with my O'levels some months ago and intend to get into college (university) next session. Thanks man.

@Godisking.

You need to do your A-Level after your O-Level. I am suprise you know this far from O-Level. You will understand more after your A-Levels. A-Level will prepare your for HE (Higher Education) i.e. University.  Believe me, it is suicide to enter HE with O-Level, particularly if you are a Mathematics major or Engineering, physics or Computer Science major.

If you did Add-Maths/Pure Maths as an elective option in your O-Level, you are in good position to start A-Level. Below are links for tutorial on Applied Maths

1. Maths Revision
2. HMC Mathematics Tutorial Online
3. Calculus Premier
4. Purple Maths
5. Maths Centre (I used this a lot at my A-Level exams prep)
6. NIPISSING
7. Analyze Math
8. [url=http://www.math.ucdavis.edu/~kouba/]University of California, Dept of Mathematics[/url]
9. Interactivr Maths
10. Statistics (A lot of question from stats for A-Level students) If you are pursuing HE, you will do stats from first year to final. You knowledge of Integration will help you a lot.

11. Stats
12. [url=http://www.maths.mq.edu.au/~wchen/lndmfolder/lndm.html]Discrete Maths[/url] (You need discrete maths for HE. You will do it from first year to final year)

13. [url=http://]Computational Methods[/url] (You will touch this in second and third year of your HE for Mathematics major and Computational Mathematics major)


This links are all my firefox bookmarks on Maths prep for my A-Level. As you can tell I am on a higher Math field now. But for those pursuing HE, these are helpful links.



@ak001

1. Error analysis, university of california, dept of Physics
2. Interpolation linear and non linear eqn
3. Curve fitting
4. [url=http://books.google.co.uk/books?id=RhAOix1-wlYC&pg=PA20&lpg=PA20&dq=Numerical+solution+of+algebraic+and+transcendental+equation&source=web&ots=XtdrsdyycT&sig=Rpornp-7wJ4WmBTbuMDvPCZDNVM&hl=en&sa=X&oi=book_result&resnum=3&ct=result#PPA20,M1]Numerical soln of algebraic and transcendental eqn[/url] (I can help you buy this book. You need to pay for it yourself)
5. Numerical diff and integration
6. [url=http://]Initial value problem for ordinary diff eqn[/url]

People, please remember that I am not a teacher, not yet. I hope to become one after my graduation and PGC. I am on my first year of Mathematics. I simply open this thread to share knowledge with minds alike. Sofar, I have been bombarded with question that I cannot answer yet?

I have needs as well. I need help with higher differential calculus for applied applications i.e. Kinematical Interpretation

Welcome back all you mathematics enthusiast. I hope you had a lovely holidays and a wonderful new year. I wish everyone a prosperous new year. Back to the subject of the matter. I have exams couple of days away. I was going through previous year exam paper and I saw these two interesting questions and I thought to share it with you.

I will leave question 1 for you brilliant Mathematician to solve. If you are brave you can post your solution here. Below is solution for question 2

Enough of mathematics, lets derve into mechanics

PLS I NEED SOLUTION TO THIS QUESTION

QUESTION 1
A cantilever AB is of length 1.5m is acted upon by a point load of 2N at the egde (point B) of the cantilever. A uniform distributed load of 3N also acts on this cantilever from B over a distance of 1m (point C). Calculate the shear force and bending moment, thus draw a shear force - bending moment diagram.

THIS SHOULD BE A PIECE OF CAKE!!!!!!!!!

THANKS A LOT FOR UR HELP

I would love to see your solution for this question. I am not an engineering major thus, cannot answer this question. But I can derive a formula for you given some  knowledge or information.

Perhaps, you should look [url=http://www.google.com/url?sa=t&source=web&ct=res&cd=1&url=http%3A%2F%2Fwww.ignou.ac.in%2Fassignments%2Fdcleg%2F2nd%2520Semester.DOC&ei=nM9eSaTcGZDRjAfEvrm9Dw&usg=AFQjCNGc9e5LU-uifbpaeazoIeq-zRvnmw&sig2=S-AQtHI_yjG4ZnxOhtMGMQ]here[/url] for similar queations

Please can anyone help with the solution to this simultaneous equation. Please its urgent.
x^(1/4) + y^(1/5) = 5
x^(3/4) + y^(3/5) = 35

(The sign ^ means raised to power).

Thanks guys.

Use Cramer's theorem for two polynomial coefficients

Note that power of the polynomial--- Use basic algerba to evaluate the exponent

If you don't know basic algebra here is a [url=http://books.google.co.uk/books?id=GUGeEl5V_3sC&printsec=frontcover&dq=subject:%22+Mathematics+%22&lr=&as_brr=3&ei=lF1lSaWDI6aGzgSE3sDXAQ&rview=1#PPA151,M1]book[/url] for you to learn from

@ webmonkey

x^(1/4) + y^(1/5) = 5
x^(3/4) + y^(3/5) = 35

(The sign ^ means raised to power).

I know matrix, determinant and the likes of basic algebra and I also understand the mathematical relationship you put in ur last post; but with all that I wasn't able to solve that question I posted for you. Please help me outline the solution on this thread. I've been away from the internet for sometime. Thanks.

If you cannot solve it by now, you need to consider doing another course other than Mathematics

The exponents of x and y