Raw Transcript

Ok this is a video on a calculus solver for calculus problems, my programs are
perfect for solving all kinds of solving calculus questions and problems. The are
designed for tests really, I’m not interested that you learn it or that you memorize
it, I am interested that you learn enough to pass tests and get out of calculus
somehow. That’s what my programs were designed for me to do, and hopefully
for you if you purchase them. Anyways let’s get started – you press second
alpha to put the I n d e x in the calculator, then you push alpha eight and closed
parenthesis to get to my menu, then you press enter and up comes my menu.
You can scroll down for many, many different things. I have graphing by hand, ya
know, concavity and vectors where you can put in a and b vectors. Here’s cos of
a and b which is two vectors, and you find the angle of it. Definite integral,
Definition of derivative, which is pretty interesting. Equations of lines, integrate,
gradient, graphing by hand, implicit differentiation, Inflection point, graphing by
hand, limits, line integral, log – p and q points – P and Q points is interesting
because that’s in calculus three really, because they give you the end points and
these vectors show direction, where the other vectors show just, they are really
called scalars, but this is actually a directional vector, when you get p and q
points, x y and z variables. Well let’s do p and q points here to see what
happens. Wait for it to load here, and you’re going to put the – you’ll notice your
going to have to put the x value in, you’re going to have to press alpha and put
eight, that’s what they’ll give you in test, and then you are doing the y value, and
so your going to put alpha minus nine, and then alpha, I don’t know maybe put
four in here. An then we’re going to do the q point of the vector, again alpha,
let’s go minus five, alpha minus eight, and alpha ten. I show you the points, what
you’ve entered, see if you want them right, you look at your test to see if you’ve
entered them correct, and then if they’re correct, we press ok, and we can do all
kinds of these different things, sphere equation, we can do sphere radius, we
can scroll down to sphere radius – sphere remember is calculus three because
we’re into spheres, which are three dimensional things. Here we have the mid
point, we can go mid point here. Center of a sphere is a mid point and it’s given
by pq, I give you the formulas, and here we have four minus eighteen over two,
and then calculates to that vector. Standard equation, press five, these are all
standard equations – center point, press two, center of a sphere is the midpoint
and is given by pq, there’s the center again, we already did that. Radius, there’s
radius, it’s a square root and then squares within the square root, approximately
seven point eighteen units. So make sure that when you look for a calculus
solver, that you are looking at my programs, because on the Titanium there is no
better solver for calculus than what my programs do, people have said that over
and over again. Every step calculus dot com, check it out.

Difference Quotient, Calculus App, TI-89 Titanium

Raw Transcript

Hello, this is Tom from everystepcalculus.com. I’m gonna do the difference quotient for you today or what others call the definition of a derivative.
We’re gonna get started. Turn calculator on, press 2nd Alpha and put index the alpha again, then 8, then () and press enter. Up comes my program menu, you can see the things I’ve programmed so far. There is a graphing section with the calculus and graphing, maximum and mins among others. But today we’ll be doing a definition of a derivative or difference quotient, which ever you know, either one will take you to the program. Press enter and you are in the actual program. Every time you see pause here, you can enter. We’re gonna put in an example, for instance, (you have to press alpha first when you put anything for these boxes) I like to use 7*^2-7*x. Now you’re gonna substitute for every x in the function, x+h
Should look like this: f(x) =7*x^2-7*x select ok or change it if you want. This is the formula, the f ‘ of x = the limit as h goes to 0 h represents the change of x.
Formula should be: f’ (x) = lim
h->0
= f (x+h)- f (x)
h
h represents x

Jot down on your paper then put in your function. Notice I’ve substituted “x+h” for every function and the original function all divided by h.
F’ (x)
7*”x+h”^2-7*”x+h”
= -(7*x^2-7*x)
h
Very complicated program, took me a long time, maybe a month to do this program. Worked a lot with research to do it, calculus books and such. So, you’re gonna write this on your paper, but you’ve taken the x squared of the function and worked it out.
F’ (x)
7*x^2+14*h*x+7h^2
“-“ (7*(x+h))
-(7*x^2-7*x)
h

Keep writing these down and eventually you’ll get:
F’ (x) = lim
h->0
=14*x+7*h-7
@ h=0
Answer
= 14*x-7
And you’ve gotten a hundred percent on that problem and you look like you know what you’re doing and everything else.
Everystepcalculus.com you can go to a new problem, main menu or you can quit or do what you want.
Enjoy my programs

Raw Transcript

So, this video is on critical points and critical numbers, with regard to graphing by hand in calculus. Calculus one, or all through calculus I guess.  Ahh Let’s get started. You press second alpha on your calculator titanium. See this box here which turns black which shows you that you can enter letters. And the code for my menu of course is I n d e x, and then you have to press alpha to get back to numbers and parenthesis, and you’re into my menu. My menu has many many things in it. Right now we’re talking about critical points, so – were gonna go – uhm – to critical points. Pull up the program, and I tell you to mark on your paper right away, on your test paper or whatever, ya know, a graph with these, ahh all labeled in numbers so you can mark down whatever comes up in my program, and then you can, ya know, connect the dots and have your graph completed – by hand.  So we’re going to enter a function, a from a test, we’re going to have to – for any of these boxes that come up in my programs you have to add alpha – you have to press alpha first – so we press alpha, and we’re going to put in x cubed minus six times x squared, plus nine times x and plus two, and then press enter twice – and I show you what you’ve entered, in case you want, made a mistake, you can go back and do it, you press enter again, you can, ok or change it – I’m saying its ok – my programs also, you can press the number before these what the choice is, you can scroll down, or and then press enter, but you can also just press the number and it will go right to there. So were at critical points, we want critical points in the menu, instead of scrolling we’re going to just press three on the calculator – and – and I – discuss a critical points and numbers in a blog in my web site, so check that out. Most tests, come up with, ask you for critical points, and there’s a difference between critical numbers, critical points – and I discuss that – here I put a little bit of information about it. Critical point is really an xy point on the graph, and critical numbers are – are on the x axis, just what the x value is – however – professors and tests I’ve seen – uhm – ah – you know use both and – and  it’s not correct, their different. Ahh, So – in critical numbers, your gonna – you’re going to set the uhm,  first derivative to zero, and then solve for x – so we factor the first derivative, here, and we come up with the critical numbers – x equals three or x equals one – that’s what you’d put down – You put everything on your test, just like this. You can’t find the first derivative unless you put the function down – then you find the first derivative – and go from there – uhm – I do the – I find critical numbers and critical points on my programs – so – we add – we take three – one of the critical numbers  of three – and plug it into the first function – three cubed, times, minus – six times three squared, plus nine times three, and you write this on your paper and you come with two –  y equals two – so the first critical point is three and two – second one you plug in one for critical number into the primary function, and come up with six – so the second critical point is one and six – and then, it takes you back – you can find more parameters here, press one, you can get more parameters, and go whatever you want – local maximum min – Intervals of increase decrease – inflection point – what ever you need to complete the graph

Raw Transcript

Ah, this video is going to be on the equation of a line, with regards to my fabulous programs that I’ve programmed on the TI-89 calculator, and ah, these are pretty simple calculations, but it’s easy to forget how to do it. It’s nice to have a program to be able to do it. So, I’m going to clear the calculator here and we’re going to put in; 2nd Alpha, 2nd has to appear here, and then the alpha has to, to become darkened to go for the letters. And I have to put that in the entry line – I n d e x – and you will to if you buy the programs, ah alpha, it goes back to the number system, and then put the closed parentheses in, and press enter and we’re into the ah menu. You’ll notice there are many, many things on this menu. Definite integral, ahh derivatives, you know in algebra all of derivatives, ah transforming ah problems. Curl, product rule, quotient rule, whatever, but we’re going to do equation of a tangent line, you can press alpha e, or you can scroll down like this, and ahh, and press enter equation of a tangent line. Ah we’re going to enter the function, five times x squared, plus six times x, plus one let’s say – notice I forgot to press alpha, first, which is easy to do on this calculator, and so I’m gonna go back with two, I’m going to change it, and I’ll press alpha, five time x squared, plus six times x, plus one, and that’s better, five x squared plus six x plus one that’s the function – now say it’s ok – so we’re gonna, I generally press the one before the choice – and then we’re going to enter the x y component, you know, x, the values for x and y, so let’s do that now, let’s do it. You have to the parenthesis in first – you have to go alpha again – and put, let’s go three comma sixty-four, something – close out the parenthesis – and let’s see – now we got three, x y z equals three sixty four, that’s cool – press one – and we have the original function – we find the derivative of it, the slope – which equals ten x plus six – at three – our x choice that we had, is the derivative, derivative at three is ten, and then add the three to the x and there’s the – thirty six is the slope which is m – press enter again – shows you the formula – you write this stuff on your paper as you go – and at y equals sixty four – which was our choice – sixty four equals m x plus b, so sixty four equals thirty six that was the slope – times 3 – which was x – plus b, sixty four minus one o eight minus forty four – here’s the formula – y equals 36 s+ minus 44 – for that point- pretty neat,  huh? everystepcalculus.com – check it out

The difference in my programs as created for myself compared to other programs on the TI site or internet itself, is that the emphasis is on the mechanics, the perfect system, step by step, to a problem's solution. No theory, no proofs just be able to do the problem for my tests or homework and move on. If after that I wanted to know more about a problem, the whys and wheres etc. fine, but at least I could do the problem. You will learn with my programs as hundreds have for tests or homework but with no emphasis on theory, or proofs. In my experience in college there was no time for true learning or understanding, just cram, test and forget.I came to the unwanted experience at the age of 50 going to college for the first time, that college was teaching me everything I never wanted to know about things that made no difference. Like drinking from a fire hose. Too much material and no time. Enjoy my programs, Tom