Endgames can be the most complex part of the games even though there are fewer pieces on the board. The reason is that this part of the game needs careful calculation. It should be obvious to you by now that a king + bishop or a king + knight against just a king are draws. Learning how to push the opponent's king in a corner or the last rank are fundamental to winning. And in case you're in a losing position, if you calculate carefully you may be able to trap your own king for a forced stalemate and a draw. You could also run around the board for 50 moves and declare a draw. This is a link about the 50 move rule:

http://www.chessvariants.com/d.chess/50moves.html

This link shows you some basic and some advanced ideas involving sacrifices to lead to mate. Play these moves out on a real board as well so that during a real game the "feel" of those moves will be second nature and natural to your eyes and hands.

http://www.usefulchess.com/tactics/chess_tactics.html

On this same site you will see problems, quizzes and studies. Problem solving and tactics make up 99% of chess, so looking at puzzles are a fun way to strengthen your middle game. You can study all the chess openings in the world but if you can't develop tactical ideas to go forward, you can be stuck. You can also practice playing against the computer on this site as well, including a fun 3D simulation:

http://www.usefulchess.com/index.html

When you play against the computer, here's an idea. Use the database of master level games I gave you in an earlier lesson (http://www.365chess.com/) and copy those moves against the computer, then continue until the database runs out of moves. After that develop your middle game from that point. As you look through the database commit to memory what the most popular moves the masters used from the database. During a game when the pressure is on, you won't really feel the pressure as much because you'd know from memory what the masters played. That can give you a huge edge in a tournament.

http://www.usefulchess.com/index.html

You can train on the endgames using this link among others you find:

http://www.chesskit.com/training/endgame/

And here are some articles on endgames on chess.com, as seen through the eyes of masters:

http://www.chess.com/articles/endgames

Hi JayPillay, thanks for instructive post.

One can also do some free tactic and endgame problems at www.chesstempo.com