# The Art Of Problem Solving Volume 1

Perhaps most importantly, I hope you will have a good idea about just what can be done with C, and what can’t, so that you will be able to further develop your skill at using C as the need arises. FINITE SUMS AND INTEGRATION § 11.1 How Much Water Can a Water Tower Hold?§ 11.2 Numerical Solution § 11.3 Analytic Solution § 11.4 Just How Much Water Does the Notrees Tank Hold, Anyway?For general advice, see my advice, Geoff Smith's advice, etc. Predicting improvement in math contests is a lot like trying to predict the stock market.

Perhaps most importantly, I hope you will have a good idea about just what can be done with C, and what can’t, so that you will be able to further develop your skill at using C as the need arises. FINITE SUMS AND INTEGRATION § 11.1 How Much Water Can a Water Tower Hold?

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The purpose here is not to make you proficient at circuit analysis, but rather to introduce you to the basic ideas, such as just what is a current or a voltage.

Then, when you encounter the subject again in considerably more detail, you will have some understanding and familiarity to fall back on.

This is a pretty specialized program which turns out to be surprisingly useful in engineering.

It allows you to graph data and functions, and to do rather complex arithmetic calculations on large quantities of data easily.

I hope that you will come to view the spreadsheet as a tool you can use later to help you understand things and to avoid some of the arithmetic drudgery. I think you should find the spreadsheet easy to learn and entertaining to use (it was designed that way).

In the second semester, you will be introduced to a more general-purpose program, called the C compiler.With that disclaimer, here are some possible suggestions for math olympiads.Younger students (preparing for AMC/AIME) would likely benefit from books or classes from Art of Problem Solving, like Volume 2.The other secondary goal is to provide you with skill in using a computer.In the first semester of the course, your interaction with a computer will be almost entirely through a spreadsheet program.C is a computer language somewhat similar to FORTRAN, Pascal, or BASIC which allows you to write your own programs, and thereby to tell the computer exactly what you want it to do.You will probably not emerge from the course as a skilled C programmer, but I hope you will be able to use C to solve many of the problems which you are likely to encounter later in your career. These are FAQ's about math contests and particularly how to go about training for them.One-sentence answer: do lots of problems just above your current ability, and spend some of time on reflection. It's worth pointing out that no one has a silver bullet: there's no known study method \$X\$ (let alone a specific handout/book) such that students following \$X\$ consistently do well on USAMO.These notes were written to accompany a two-semester introductory course in Electrical Engineering.The primary goal of the course is to introduce you to the art of technical problem solving.