Poems
In Summer 2010, I assigned the
class to write a twostanza poem for the EML3041
Computational Methods course. Here is their attempt.
Engrossed in code with a large data chart
Numbers, graphs, and lots of information
Gleefully discovering ways to start
In applying different computation.
NaiveGauss, Interpolation or Spline
Eliminate plenty of matrix fear
Expressing a more optimal design
Reserving time to play and have a beer! :)

The decade is ending with a depression,
Life is too short with many situations,
Memories and experience of regression,
Can be solved using differential equations.
To succeed in life, one needs to initiate,
They who wait will run out of time,
With many variables to differentiate,
Which can be fit via splines.
On our goal to solving Simultaneous Linear Equations
We have learned the method of Gaussian Elimination
Partial Pivoting has proved to be more precise
But all the math ends up being not so nice.
Have to love that matrix multiplication
Or how about that backward substitution?
So make sure to not make an error
The larger the matrix, the more the terror!

Keep pluggin' and keep chuggin',
Whether you Newton_Raphson it up or you Gaussian.
You see the hate, that Computational Method serves on a
platter.
So what we goin' have, Absolute Value or Error.
I never thought I'd be hating like this,
When I look at my book, my mind goes on a trip.
Then LU came in, and knocked my pride on my face.
Feel like I'm in a pit, But I already dug myself a
grave.

Numerical methods is the thing for you
If calculus makes your brain feel like goo
Lots of simple math and repetition
Just manipulate the matrix like a magician
Filling in the blanks with interpolation
Is about as easy as building the space station
Integration without my TI89
It’s tons of fun, so get in line

To integrate numerical methods with a rhyme,
Takes so much time,
For between Math and English I interpolate,
But between them, I no longer differentiate.
Both are subjects taught in schools,
To be used through life as tools,
Once it was assumed that they diverge,
Oh what an error, for they really converge!

When doing interpolation of linear spline,
which is forming consecutive of straight lines,
one should do when assigned,
if not in this course one will fall behind, you will
be given a chart with velocity vs time .
So study instead of listening to music with rhymes that are
not kind.
Which corrupts your mind when doing spline.
On the exam you will be asked to find the distance
which 4 or five constants having to integrate with respect
to x’s.

Computational Methods
Just one more day until the test
Why do I feel the need to regress
Interpolate, extrapolate
Here comes the need to acclimate
Dr.Kaw’s calibration
May just be my abomination
Will my retention
Affect my compensation?

I separate and differentiate
the variables of my life
evaluate and approximate
the outcome finite.
Look no further than the knowledge at hand
and you soon will see
we've only to have a continuous drive
for convergence of success.


This is the wonderful class of Numerical Methods
Where Dr. Kaw adds fast, he must have broken records
So, everyone races, without tying their laces,
In crunching up numbers in different bases.
If you can’t differentiate and integrate
Well, you better you can interpolate
If someone calls you Naïve, they’re talking about the Gauss
Elimination
And the easiest thing you’ll learn is the LU Decomposition.

There's so many ways to find the wrong answer
When the exact solution is so simple to find.
To my summer this class is kind of like cancer
It's taking up all of my vacation time.
Yet I know that this course is needed
If I want to graduate soon.
To the lessons and lectures I should've heeded
For I don't want my grade to be doomed.

There is no sunshine with Comp Method
But it’s not warm without the math
I have heard that this class is so hard
Unfortunately I had to see it first hand
I wonder this time if I will pass
I need to work very hard to pass with A
But I know I know I know I know I know
There is no sunshine unless I pass

Interpolation, integration
It’s a sensation that's sweeping the nation
Forward elimination, back substitution
That’s a way to find a matrix solution
Even with the country in a recession
That won’t stop me from learning regression
Computing velocity versus time
Using “fancy” calculators should be a crime.

Math is good
Math is great
Oh this class, I can not hate
Though I think I could
All the things we approximate
Head spinning as I integrate
Don't forget to differentiate
Gotta run, can't be late

An ancient math has come to be,
seems so foreign to you and me.
Full of wonder and full of grace,
she's more than a just pretty face.
The passion that was, through space and time,
proved to fit on just one thin dime.
Though my love had come and pass
still I'm stuck here in the class.

Numerical Methods is a subject so peculiar
But converting from base 2 to base 10 is oh so familiar
From differentiation, Gaussian Elimination and quadratic
spline
To curve fitting, interpolation and regression for a line
Yes there’s more to learn than could fit on a wall
But there’s only one method that will find them all
Formulate, implement, solve and interpret
After this class, you’ll do everything perfect

If you have numbers and unknowns all in a mix,
Then solve for the variables using a matrix.
Numbers may be large, a real base 10 load,
Well shorten the notation with binary code.
I can easily distinguish Chris Brown, Soulja Boy, and Yung
Joc when I hear 'em,
Yet, I have trouble understanding the Gaussian elimination
theorem.
Our ability to solve problems is our greatest possession,
We've learned to use integration, interpolation, and linear
regression.

When I enter the room,
I can feel the crowds doom,
As Dr Kaw teaches,
the differentiation he preaches.
While the central divide makes your answer precise,
the fdd takes only two measurements, how nice,
so when the test comes, I won't be stressin,
I'll be able to derive every single expression.

With the final questions laid before me
A sudden rush of anxiety floods my being
Can i get my will to match my ultimate desire
As that looming expectation vibrates my facial attire
Though I yearn for success
Will my persistence in Comp Methods end up being a valid
tool
That of which my professors have told
We will redesign a better future and watch it unfold

Numerical Methods, the art of approximation
Includes matrices, computers and differentiation.
Our Weapons are the best in the War against Terror,
But a missile hit our base due to a truncation error.
We learn to eliminate with the method of Gaussian,
I don’t understand this subject, to me it sounds like
Russian.
Distances, velocities, time, and accelerations,
I can solve for all of them using Simultaneous Linear
Equations

Computational Methods is all about manipulation
When analyzing a problem you might run into a regression
You can spend some time by using Gaussian Elimination
Other ways to solve include direct interpolation
Finding roots of equations involve derivations
To find distance from a velocity equation you will use
integration
When describing acceleration from a velocity equation use
differentiation
If you know what you’re doing you’ll have no hesitation.

Simultaneous equations
Pivoting all the rows
LU Decomposition
Ideal for my woes.
Naive Gauss Elimination
Errors in the round
I. switch my information
No doubt by the sound.
The types of solving methods
Everyone is just fine
Relative to the challenge
Problem solved with Spline.

Computational Methods burns my brain
Sometimes I think I’m going insane
I thought I was good at math
But those days are far in the past
Although on the first test I earned a D
That will not be the end for me
I will do better on the next test
I will score higher than the rest!

There was a boy who lived in the school
With Numerical methods he didnt know what to do
He studied and studied just to get C's
Gonna study some more and get me a B
Matrices and Interpolation and solving equations
workin hard but its a lot of information
I had the studyin good and goin
but had to stop to write this poem.


Numerical Methods is so fun
We’ll come to class until it’s done
Dr. Kaw shows us real world problems
Then shows us how matrices can help solve them.
By the time this class is through
We’ll be able to show you too
Some may think it’s all a bore
But numerical methods we’ll use for sure.

You add here and subtract there;
That is the basics for numerical methods idea;
Well… not so quick my dear;
Don’t forget the algebra and calculus ideas.
Problems??? Engineering is no exception;
And with numerical methods there is no fear for deception;
Just put your mathematics into good application;
And now you’re ready to face, any engineering complication.

(A) Math is greatest off all
(A) Especially numerical methods in the fall
(B) Learning it's fun, learning it's great
(B) You have to study off your buns, until it is late.
(C) Numerical methods isn’t easy
(C) But more interesting than listening to Weezy
(D) This class is no ordinary task
(D) Through and through it is applicable until the last


Calculus has given me a fight
But I have a goal in my sight
To multiply my knowledge
In this equation we call college.
I'm in this divided road
Learning how to carry my load
Every problem has a solution
So I'll carry on in this fine institution.

As I walked to the classroom I thought of spline,
I can feel a shiver running down my spine.
LU method? " oh, the terror!"
I hope I don’t get a large error.
Do not extrapolate was what I affirmed,
the absolute relative true error I must confirm.
Simultaneous linear equations  "oh, the abuse!"
Gaussian's method I must use.

Using Numerical Methods can be a significant chore.
You must approximate correctly to converge a high score.
The matrix is not just a TV show.
It will allow mathematical models to flow.
As we regress into the classroom after a test
We find that only a few have done their best.
It's a good thing that our professor tells lots of jokes.
That keeps the classroom filled with happy folks.

Numerical methods can be used to solve
Any type of problem that can evolve.
We use integration and interpolate too
To find the numbers that we can use.
Numerical methods can be fun I say,
If you joke and laugh I’ll show you the way!
Just remember to show all of your work,
Or else confusion and head scratches can soon lurk!

Here or anywhere around the World
Inequality among us causes a war
Whether Im rich or poor
This differentiation makes us ignore the value of life
Let’s not pretend this does not exist
But instead, let’s work together with a common goal
To see if can measure the length of that pandemic
Then we will be able to define peace.

Numerical methods is cool
I like to learn it in school
Quadratic equations are neat
When I get the right answer it’s sweet.
Solving linear equations can be hard
It leaves my eyes starred
But I better get done with my math
Or I will receive my wife’s wrath.

Alpha, Delta and Beta are supplying
Simultaneous equations we are applying
Solving by integration and differentiation
We are understanding this wonderful creation
From solving problems to life’s mysteries
It’s been here through all of history
Whether designing trunnions, turbines, or toys
There’s always a Numerical Method to employ

Love and respect are functions of time
Your variables push me to tequila with lime
Whether it’s love or hate you’re needed by all means
When I think of you, I SUM in my jeans!
You are important to all and hold a place in my brain
But not in my love matrix; you’re more of a pain
When you test me, it makes me squirm
“Numerical Methods,” you’re great, but not during this term

I can be used to approximate, differentiate, and
interpolate.
However, some of my techniques students do not fully
appreciate.
With me practice makes perfect so be prepared to spend some
time,
Because taking shortcuts is most definitely a crime.
Be cautious of chopping which may lead to a large error,
Because after such you may be cursing like a sailor.
I command attention to detail and must be respected,
Because I am.. numerical methods.

Dark corners of LIF 272...
Lost in a world full of gauss and decomposition
haunted dreams and matrix superstition
absolute relative approximate error will make you cry for
mother
just as we begin the interpretive regression mystery....
hold that thought, break for five
when we return, a clicker quiz to see who stays alive
gasp for breath, check your messages or run for cover
if only i hadn't changed my major from chemistry

Why is it so hard for me to rhyme,
About numerical methods and functions of time,
Too busy interpolating to find the shortest path,
Studying forward elimination to avoid professor wrath.
Linear, quadratic, and cubic splines,
My mind is full of so many lines,
Like an infinite loop trying to reach a conclusion,
An engineer must keep on learning to find a solution.

In the land of mathematics
The engineers were problematic,
With problems, numbers so erratic,
Their work became completely static.
Numerical Methods came and said “Wait!
There is a way to put them straight.
Find the error and integrate,
Regress a line or interpolate.”

I am writing a poem for computation
i didn't realize what time it was now IM in a bad situation
i wish i had done this sooner
hey look on TV threes a guy sailing a scooner
Comp methods has some problems
with enough work i hope i can solve them
i hope this class goes smooth
but i feel it will be as tough as pulling a tooth

I like Numerical Methods and I cannot lie
You other Engineers can't deny
That when a matrix walks in 4x4 deep
The methods for solving the inverse can be very, very steep.
But don't worry, it's a breeze
Just step back from the Naive.
Substitute your mind forward to 4.07 and cram it in your
head
To make sense of the LU Decomposition Method.

With Newton Rhapson
You will need only one
To care for Bisection
Take two for your selection.
With Gaussian Elimation
You will go forward and back
If you forget this
Your answer will be whack.

Numerical methods is sweeping our nation,
as a better way to solve math equations.
Errors caused by chopping or rounding,
now so small no longer astounding!
Its possibilities are like dividing by zero,
making it our mathematical hero.
All in all, at the end of the day,
numerical methods is paving the way!

In learning the nuances to this method of numerical solution
This Stegner did not make a straight path to failure as a
resolution
the practices taught and many hours of study would not fail
Yet verily the outcome told an empirical tail
Old lessons learned and new ones taught
the mind needs to integrate the data without fraught
as the masses reveal the skills they learned
A happy graduation to those sojourned

Numerical Methods, what is your sign?
Your path to solutions is simply divine.
I'm trying to learn all your magical ways,
or at least enough, for a passing grade.
Numerical Methods requires some thought.
Sometimes I get it, sometimes, not...
I'll learn what I can, no matter the cost.
From the quote of a rap song, "Like a Boss"

In computational methods
true errors are welcome
therefore breaks are need it
youtube videos are for the weekend
If I ever lost my comp methods book
I could still remember how to find a root
formulate my alternatives to solve my troubles
interpret my thoughts will implement my teachings

Comp Methods, the class is fun.
Comp Methods, the class is fine.
Comp Methods makes me want to run.
Comp Methods makes me want to dine.
Interpolation, oh I can not wait.
Interpolation, oh I can not decline.
Interpolation, it must be fate.
Interpolation, it must be divine.

We try to intimidate you with our symbols and big words;
Engineers are smart (some cocky) you can be assured;
This class they call Comp Methods, it's not all that bad;
Furthest thing from a bore, unlike some classes we've had;
Integration, Regression, Gaussian Elimination..not to
mention Tpain;
We cover it all, even talk about Luke “dancing in the rain”;
And when programming in MATLAB, we can locate the glitch;
Cuz if we keep all this up, one day we'll be RICH! : )

Computational methods is our glorious mission
Solving equations using LU decomposition
Numerical values and their propagation of errors
Make this living nightmare quite a terror
Focus and concentration are the integral of success
Moving forwardelimination can help clear the mess
Then take a step backsubstitution and see
That the answer lies just a few computations from thee

Numerical methods is the newest sensation...
It'll help you with your math, especially interpolation.
You'll have to add, subtract, multiply and divide,
And if you follow these rules, you'll know how to get by
The first two steps are formulate and solve,
Once you're done with that you must interpret it all.
After interpretation, comes the implementation,
And that numerical methods! The newest sensation!

It starts of as one divided by three
Then there was mathematical error exists
Here we learn how to calculate
We know computational methods are the best.
There was an area under the curve
It was challenging how to discover
We use computational method to be precise
Forward, Backward and Central Divide


Learn numerical methods so you can formulate a model right
on the first try,
if you don’t you have no chance of ever being as successful
as T.I.
Time and money lost by roundoff or truncation errors will
make your boss as mad as can be,
And don’t even try to blame the poor interns and say “it
wasn’t me!”
Because I’m a pro at calculating true and approximate errors
and if they turn out to be too high
I’ll show the boss you should’ve used a polynomial
regression model, you’ll be embarrassed and start to cry.
Soon I’ll be in charge using Taylor series, Gaussian
elimination and spline interpolation just fine,
And you will be chillin’ in the unemployment line.

Numerical Methods is just for me,
Using my TI30Xa with glee.
Interpolating and approximating is up to ye,
Studying you must if you wish to flee.
Class is a blast and you must jive,
Laughing and learning is how things drive.
No matter how hard you strive,
The answer is always five!!

Approximating mathematical processes
Finding the error your answer possesses
The tolerance is prespecified
Does your approximation fit inside
Differentiation integration
Simultaneous linear equations
Interpolation and ODE's
Solved with numerical METHOD's

So I’m taking comp methods right now
And this is class is omg wow
I have this huge test with interpolation
Let me show you a demonstration
Not enough time, I’m only kidding
Just like this course, it can be misleading
But if I can understand partial pivoting,
Passing this course will be riveting

The method of Gaussian Elimination I learned,
In turn, many erasers I have burned.
My calculator is of no value anymore
As such, simultaneous equations I adore
My errors are true and absolute,
With Matlab in my arsenal there's nothing I cannot shoot.
Differential equations were once my enemies
Now I can solve them in my undies.

Naïve Gaussian?
Or maybe just shy?
Oh, you’re innocent
Come here let me see why
Partial pivoting
That’s the secret I share
Let me switch those
Two rows In your matrix right there.

Some may feel like not going to class
because during the weekend they lost gray mass.
The teacher makes you feel you are on a excursion
only when you get comfortable with backward substitution.
Going to class feels like a family reunion
discussing how we're going to fit the freaking trunnion.
After checking the calculations we felt the terror
it was a false alarm caused by the absolute error.

Comp Methods is an interesting class
Mr. Miyagi says practice and you will pass
While some problems cause great hesitation
I hope that they are easy to solve like Gaussian
Elimination.
With great advice
All we have to do is make the right choice
Using quadratic interpolation to find a specific point
To the left pass that joint.

As I sit here studying for my test,
I am wondering how I can do my best.
Spline Interpolation I understand the least,
Floating Point Representation, I can tear up like a beast!
Without repetition, I will fail this class,
But I must use a Ti30Xa if I want to pass.
Life is like a set of Simultaneous Linear Equations,
I don't have enough variables which gives me many
frustrations!

Hurry to the car
Its not that far
So need not fear
Lets get in gear
Here it comes
Its getting closer
Excitement grows
Computational Methods will end my woes!

Cook book is like a calculus book
A soup of things to do
A chain of rules
The ingredients...
Three quarts of integration
And one cup of calculation
that's the soup named
computational methods

I walk into Numerical Methods; my day, a blur,
I spend my days searching for the answer,
Only to learn there is more than one end,
To this quadratic equation I must tend,
Thinking numerically outside the bun,
Holistically makes me want some fun,
Raphson, Gauss, Euler and Newton,
Are nothing compared to the great Clayton.
