Minimal Advice to Undergrads on Programming

This is v1, from 19 December 2008. See here for background, and a pointer to the latest version.

In roughly decreasing order of importance:

Take a real programming class
Learning enough syntax for some language to make things run without crashing is not the same as actually learning how to think computationally. One of the most valuable classes I ever took was CS 60A at Berkeley, which was an introduction to programming, and so to a whole way of thinking. (The textbook was The Structure and Interpretation of Computer Programs.) If at all possible, take a real programming class; if not possible, try to read a real programming book.
Of course by the time you are taking my class it is generally too late to follow this advice; hence the rest of the list.
(Actual software engineering is another discipline, over and above basic computational thinking; that's why we have a software engineering institute. There is a big difference between the kind of programming I am expecting you to do, and the kind of programming that software engineers can do.)
Comment your code
Comments lengthen your file, but they make it immensely easier for other people to understand. ("Other people" includes your future self; there are few experiences more frustrating than coming back to a program after a break only to wonder what you were thinking.) Comments should say what each part of the code does, and how it does it. The "what" is more important; you can change the "how" more often and more easily.
Every function (or subroutine, etc.) should have comments at the beginning saying:
  1. what it does;
  2. what all its inputs are (in order);
  3. what it requires of the inputs and the state of the system ("presumes")'
  4. what other functions or routines it calls ("dependencies");
  5. what side-effects it may have (e.g., "plots histogram of residuals");
  6. what all its outputs are (in order)
You should treat "Thou shalt comment thy code" as a commandment which Moses brought down from Mt. Sinai, written on stone by a fiery Hand. I will treat it so when I grade you.
RTFM
If a function isn't doing what you think it should be doing, read the manual. R in particular is pretty thoroughly documented. (I say this as someone whose job used to involve programming a piece of special-purpose hardware in a largely undocumented non-standard dialect of Forth.) Look at (and try) the examples. Follow the cross-references. There are lots of utility functions built into R; familiarize yourself with them.
Update: The utility functions I keep using: apply and its variants, especially sapply; sort, order; aggregate; table; rbind and cbind.
Start from the beginning and break it down
Start by thinking about what you want your program to do. Then figure out a set of slightly smaller steps which, put together, would accomplish that. Then take each of those steps and break them down into yet smaller ones. Keep going until the pieces you're left with are so small that you can see how to do each of them with only a few lines of code. Then write the code for the smallest bits, check it, once it works write the code for the next larger bits, and so on.
In slogan form:
  1. Think before you write.
  2. What first, then how.
  3. Design from the top down, code from the bottom up.
(Not everyone likes to design code this way, and it's not in the brought-down-from-Sinai-written-on-stone category, but there are many much worse ways to start.)
Break your code into many short functions
Since you have broken your programming problem into many small pieces, try to make each piece a short function. (In other languages you might make them subroutines or methods, but in R they should be functions.) Each function should be short, generally less than a page of print-out. These functions should generally be separate, not nested one inside the other. Using functions has many advantages:
Of course, every function should be commented, as described above.
Never do the same thing twice
Many programs involve doing the same thing multiple times, either as iteration, or to slightly different pieces of data, or with some parameters adjusted, etc. Never write two pieces of code to do the same job. Never copy the same piece of code into two places in your program. Instead, write one piece of code (generally a function; see above) and call it twice.
Doing this means that there is only one place to make a mistake, rather than many. It also means that when you fix your mistake, you only have one piece of code to correct, rather than many. (Even if you don't make a mistake, you can always make improvements, and then there's only one piece of code you have to work on.) It also leads to shorter, more comprehensible and more adaptable code.
Use meaningful names
Unlike some older languages, R lets you give variables and functions names of essentially arbitrary length and form. So give them meaningful names. Writing loglikelihood, or even loglike, instead of L makes your code a little longer, but also a lot clearer, and it runs just the same. About the only place you should use single-letter variable names is when they are counters in some loop (but see the advice on iteration below).
Check whether your program works
It's not a enough --- in fact it's very little --- to have a program which runs and gives you some output. It needs to be the right output. You should therefore construct tests, which are things that the correct program should be able to do, but an incorrect program should not. This means that:
Try to write tests for the component functions, as well as the program as a whole. That way you can see where failures are. Also, it's easier to figure out what the right answers should be for small parts of the problem than the whole.
Try to write tests as very small function which call the component you're testing with controlled input values. For instance, a test for a function which supposedly calculates derivatives might check whether it gets the derivative of x2 or 7e-5x right at ten randomly-chosen points. The testing function should warn you if the computed derivatives differ by more than a tolerance you specify from the actual derivatives. (That's why you're using such simple functions.)
With statistical procedures, tests can look at average or distributional results. For example, I once wrote a program to estimate some parameters by maximum likelihood; I could then use the fact that a likelihood ratio test should have a chi-squared distribution to check that the estimation part was working properly.
Of course, unless you are very clever, or the problem is very simple, a program could pass all your tests and still be wrong, but a program which fails your tests is definitely not right.
(Some people would actually advise writing your tests before writing any actual functions. They have their reasons but I think that's overkill for my courses.)
Don't give up; complain!
Sometimes you may be convinced that I have given you an impossible programming assignment, or may not be able to get some of the class code to work properly, etc. In these cases, do not just turn in nothing saying "I couldn't get the data file to load". Let me know. Most likely, either there is a trick which I forgot to mention, or I made a mistake in writing out the assignment. Either way, you are much better off telling me and getting help than you are turning in nothing. Of course, this presumes that you start the homework earlier than the night before it's due.
Avoid iteration
This one is very much specific to R. Explicit iteration in R is slow. (We could talk about the reasons for that sometime if you're interested.) In many languages, this would be a reasonable way of summing two vectors:
for (i in 1:length(a)) {
  c[i] = a[i] + b[i]
}
In R, this is stupid. R is designed to do all this in a single "vectorized" operation:
c = a + b
Since we need to add vectors all the time, this is an instance of using a single function repeatedly, rather than writing the same loop many times. (R just happens to call the function "+".) It is also orders of magnitude faster than the explicit loop, if the vectors are at all long. Wherever possible, vectorize your operations. (The apply() function and its relatives are your friends.) With practice, this gets easier and more natural.