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calculus (Mathematics in general)

In most calculus courses using the computer is reduced to graph some functions, for which it is sufficient with some very simple programs. Plot is important and a good program is Gnuplot is free, but not very intuitive at first, is intended to integrate with other applications, but is powerful.
A program that integrates gnuplot is maximal, this program is free and can integrate, derive, solve equations, inequalities, differential equations, Fourier analysis, and more. The simplest version is wxMaxima to work, this program is sufficient to accompany the first course in calculus.
A program I recommend is MuPAD is powerful, lightweight, has a nice graphical interface is intuitive and very easy to learn to program (scripts), the problem is that it stopped being free a few years ago and disappeared within a year, was acquired by scilab, the company matlab which owns and does not give you more support. Fortunately Univalle is licensed for this program and the network is a ligth version is completely free and is perfect for a student, can be easily carried in a USB.
is a pleasure to experiment with the computer, play with these programs will see that they can become friends and understand the functions better.
is good to learn a programming language to go further in testing and implementing programs that solve specific problems. I recommend Python is powerful, elegant, free and easy to learn best, is compact with MuPAD, even NASA is using it. There
non-free programs such as Mathematica, Derive, Matlab, but are more for professional use, and it is better to be free, it is better to use free software, the world will be worse if we give total power to the companies.
Those who plan to buy an expensive graphing calculator, such as HP4x, Texas, do not recommend it unless this is the only thing that makes you an engineer. For the price of these slow calculators you can get a Pocket PC, which emulates all of these calculators and hundreds of times faster, also serve media player, translator, calendar and many more things that are very useful for a student, I will write more about these little computers in another post. The most interesting is that these programs are great for pocket pc, such as Space Time, which is a powerful tool pocket for a student (details in another post) I only say that next to the program these calculators are expensive as a sum -potatoes.
To write math (Text Editor) recommend you try TeXmacs program is very easy to use and produces results that could not even dream Word.

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About

Euler wrote one of the first books of calculation in the eighteenth century and sad to say but you can learn more about this book that reading current textbooks.
However I will comment on some more popular books. Many textbooks are a monstrosity, but not so bad.
If you want to learn calculus with quality and rigor, but without losing sight of real applications (not much artificial texts) it is best to study with classical Courant, Introduction to Calculus and mathematical analysis, this is the first book Modern Computing and many are inferior copies. The problems in this book are few but perfect, do not expect variations of the same year. Perhaps this lack of exercise Baldor style makes life more difficult for some teachers who like all hechecito or prevent deep discuciones with students, explaining that it is not no use as a text (the education system for students think may be dangerous, it is best to repeat). But if you are interested in exploring, you do not miss this book in your library.
A popular book is mathematical calculation Apostol, which is how the book of Courant but neutered, lost applications, removed some of the best chapters and added more traditional exercises, but it remains a book good, but no physical motivation, but is rigorous in the topics presented, it does not much loved by engineers who confuse having a sense of approximate numerical or ccon the lack of rigor.
To the delight of mathematicians who want to know some things seriously, and that pi is irrational, is the book of Spivak.
If you need is to solve typical exercises, pass the course solving exercises ever read any of the Schaum series books. The good news is that in a lot of exercises that are casting a very good need a good understanding of the concepts, and some difficult exercise but classics are, to the surprise of many here resolved. A good selection of exercises in this book will help a lot in a calculus course.
But not all books are American calculation, some Russian, some excellent books written French. Dixmier
wrote a book called elementary mathematics where is all that students should learn in the first semesters, is great, should be taken into account a possible change in the curriculum, this book does not fit into any program, but it is a invaluable reference.
Dieudonné is a mathematician famous for writing a book on analysis that is the bane of many students, a symbol of more abstract mathematics, but he redeemed writing one of the most beautiful books of mathematics, calculus. If there were no reforms so stupid people doing this probably would be a common calculus textbook, but it is not, because it combines the calculation with complex numbers (as it should be)
so can be used more as a book of complex variable but da nostalgia see what we could teach and what we are teaching. Soon
comment on books like Lang or our guidebook Marsden and Russian books, missing books of history and selected issues and tell them about what are the worst and why.
You can discuss your favorite books or hated, remember this is a space for discussion.
I forget to comment on the book of calculation and computation, but I'll leave for input on programs for calculators, computers and calculators.
If you want some of the books listed let us know to give you the links.

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workbooks Calculation Guide I

In this link to download the exercises guide and workbook (MIHD bond is fast), are in English, but do not worry about this, the level is very basic and the first exercises are numerical calculations.
soon publish links to other books. Less