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-   -   Review of calculus/ODE (https://www.mersenneforum.org/showthread.php?t=14336)

Primeinator 2010-12-11 08:31

Review of calculus/ODE
 
Hello, fellow (presumable) mathematics enthusiasts! I am seeking some input. Here is my situation:

I am a college student, but my neither of my majors (Biology and Biochemistry) require a large degree of continued mathematical exposure; however, I will be taking a course next fall that requires Calculus I and II. That following spring I will be taking a class that requires Calc III and recommends Ordinary Differential Equations. I have taken all of these math courses in the past, but it has been several years and I unfortunately did not keep the textbooks. My question is this:

What textbook would you recommend for reviewing Calculus I, II, and III? My requirements are that it not assume I am somehow related to Einstein and/or Newton. I love math, but I must work somewhat more diligently at it than most people who would classes beyond Calc I (which was pretty easy). Texts that assume I can instantly see from step 1 to step 10 every time are frustrating. That being said, I do not want the textbook to be a "watered-down" version of Calculus either as that is boring and not helpful.

I would also like to obtain a textbook for ODE that meets the same criteria (does not have to include PDE, but that is a bonus). Input would be greatly appreciated! Thanks,

Kyle

Edit: The Biochemistry portion (P-Chem 1 and 2) require some mathematical ability, but I am a bit rusty on my knowledge!

cmd 2010-12-11 16:11

dissolve, if possible, we doubt ...
when last time you have changed your location?

Primeinator 2010-12-11 19:34

[QUOTE=cmd;241288]dissolve, if possible, we doubt ...
when last time you have changed your location?[/QUOTE]

If you are referring to 'somewhere near M48,' then that would have been changed following discovery of M47. If you require a more geographically precise location, I live in the United States. To be really precise- I live in Kansas.

cmd 2010-12-11 19:54

perchè non usare ancora "bdpq" ?
 
[QUOTE=Primeinator;241333]If you are referring to 'somewhere near M48,' then that would have been changed following discovery of M47. If you require a more geographically precise location, I live in the United States. To be really precise- I live in Kansas.[/QUOTE]

Sioux Kansa meaning "People of the south wind." Topeka and Wichita. home to many Native Americans who hunted the bison?

we do not want to offend ... but ...

Now we are in "SKASSAT CITY" because of the global crisis ... be equally interested in finding M48?



( we like ... [URL="http://www.taote.it/newcine/magooz.htm"]the land of Dorothy[/URL] )

Primeinator 2010-12-12 21:49

[QUOTE=cmd;241342]Sioux Kansa meaning "People of the south wind." Topeka and Wichita. home to many Native Americans who hunted the bison?

we do not want to offend ... but ...

Now we are in "SKASSAT CITY" because of the global crisis ... be equally interested in finding M48?



( we like ... [URL="http://www.taote.it/newcine/magooz.htm"]the land of Dorothy[/URL] )[/QUOTE]

Umm...okay??

davieddy 2010-12-12 22:34

[QUOTE=Primeinator;241478]Umm...okay??[/QUOTE]

Is that your best attempt at Italian?

cmd 2010-12-12 22:52

umm2yup
 
[QUOTE=Primeinator;241478]Umm...okay??[/QUOTE]

x_um (m) _y .... fine thx ... & upp
y_up (p) i_x ... symbolic meanings ... know ?
(Yup) see [URL="http://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EM_spectrum.svg/787px-EM_spectrum.svg.png"]colors[/URL] ? know [URL="http://2.bp.blogspot.com/_rvR3ouziO8g/TNlM3lOU2fI/AAAAAAAAAu4/8Is1uzQ0ZJQ/s320/c1ode.GIF"]numbers[/URL] in text ?


... signs for [B]the road[/B] to the Wizard of Oz, interested ? (W[M.of.8]z)

davar55 2010-12-13 02:48

Referring to OP: I used the Thomas text in high school calculus.
It was excellent, but I have no copy now.

Xyzzy 2010-12-13 05:12

[QUOTE]What textbook would you recommend for reviewing Calculus I, II, and III?[/QUOTE][URL]http://www.mersenneforum.org/showthread.php?p=82528&highlight=calculus#post82528[/URL]

[SIZE=1]Snake1: 4½ years later and they are still working through it![/SIZE]

cmd 2010-12-13 07:25

if yup do not understand ... ask too many more times,
we too often do not understand here,
ask and ask and no one to help us understand ...
fit but even so ...
because in the end all to understand everything!


m_[URL="http://en.wikipedia.org/wiki/Ordinary_differential_equation"]ode[/URL]_l ([URL="http://en.wikipedia.org/wiki/Kurt_G%C3%B6del"]G[/URL])




transport (vehicles), motion to transport mathematical


_ in between ( [URL="http://www.metacafe.com/watch/yt-plwgI-JX9vs/88_miglia_allora_ritorno_al_futuro_iii_recut_trailer/"]tra & in[/URL] )
_ and in machine
[URL="http://www.metacafe.com/watch/yt-SHVOQXRYIyo/yellowsone_how_to_make_a_time_lapse_without_a_camera_or_webcam_and_for_free_v_3/"]walking[/URL] on hands
with head in hands
_ in the head with [URL="http://www.metacafe.com/watch/4240359/labyrinth_movie_trailer/"]head[/URL]
_ in [URL="http://www.metacafe.com/watch/yt--JDJs-Aa9ho/the_time_machine_time_passing_sequences/"]time[/URL]

davieddy 2010-12-13 08:20

@cmd: What are you on?

I want some :smile:

David

cmd 2010-12-13 08:28

@rooster
 
[QUOTE=davieddy;241560]@cmd: What are you on?

I want some :smile:

David[/QUOTE]

we say to you, to the retina and the other, see Apple in the "location"

Christenson 2010-12-25 02:32

Textbook:

Georgi Shilov: Linear Algebra. Dover, probably 1960s. Study the first half or so.

This book, though not directly on calculus or ODE, will give you quite a bit of insight into what people are doing in those courses, and make them *much* easier. Eigenvalues and eigenvectors make sense after you read this book. Existence-Uniqueness theorem takes on meaning.

Primeinator 2011-01-05 05:03

[QUOTE=Xyzzy;241541][URL]http://www.mersenneforum.org/showthread.php?p=82528&highlight=calculus#post82528[/URL]

[SIZE=1]Snake1: 4½ years later and they are still working through it![/SIZE][/QUOTE]

Thank you. This sounds very promising, though it is expensive. It warrants further investigation:smile:

[QUOTE=Christenson;243210]Textbook:

Georgi Shilov: Linear Algebra. Dover, probably 1960s. Study the first half or so.

This book, though not directly on calculus or ODE, will give you quite a bit of insight into what people are doing in those courses, and make them *much* easier. Eigenvalues and eigenvectors make sense after you read this book. Existence-Uniqueness theorem takes on meaning.[/QUOTE]

Okay, thank you. I will look into it.

cmd 2011-01-05 09:08

see
 
[QUOTE=cmd;241494]x_um (m) _y .... fine thx ... & upp
y_up (p) i_x ... symbolic meanings ... know ?
(Yup) see [URL="http://upload.wikimedia.org/wikipedia/commons/thumb/f/f1/EM_spectrum.svg/787px-EM_spectrum.svg.png"]colors[/URL] ? know [URL="http://2.bp.blogspot.com/_rvR3ouziO8g/TNlM3lOU2fI/AAAAAAAAAu4/8Is1uzQ0ZJQ/s320/c1ode.GIF"]numbers[/URL] in text ?


... signs for [B]the road[/B] to the Wizard of Oz, interested ? (W[M.of.8]z)[/QUOTE]

excuse us ... not wanting to scare
(uncomplicated)
[B]'[/B] be equal to [B]1[/B] (on)
[B]_[/B] be the same [B]o[/B] (zero) [B]0[/B] (off)

[URL="http://4.bp.blogspot.com/_rvR3ouziO8g/TQieBcXsQdI/AAAAAAAAAv4/tyDdUAXJJ-E/s1600/po1_zigzag_s.PNG"]look here[/URL]

see column ( 2, 3, 4, 5 ) background ... '' ( black ) ... __ ( green )

[COLOR="DeepSkyBlue"]then out to the right pedicle[/COLOR]



















[COLOR="LemonChiffon"]ps "when you see, we finished the test"[/COLOR]

Christenson 2011-01-12 23:05

forgot to say: Dover tends to print paperbacks for $10-$15, new...using public domain material. Enjoy...


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