Charlie Mulgrew netted the only goal of the game at Pittodrie when he converted Charlie Adam's free-kick in the 39th minute for his first international goal.
Strachan said: "There were some good individual performances. Everybody knows how the pitch was, it was a problem sometimes.
"You could see the players who have played more regularly and that's got to be a problem for us. The guys who played regularly did a good job.
"Players were picking up good positions but we need to find them earlier. But overall I thought the second half we did really well. It was a horrible day when the surface was bad and they played against a different type of player.
"There was a lot to like and we made chances."
Strachan admitted he was "blown away" by nerves and excitement in the run-up to the game.
He said: "I'm glad it's all over because in 40 years of football that is probably the most excited and nervous I have been before a game in my life.
"I didn't know how I would feel when I first took charge of the team. Now I know. It was an incredible experience.
"I don't think I expected that. I thought I had done nearly everything in the game, played everywhere, and it kind of blew me away really.
"I've been in the Champions League, I have had to beat AC Milan, Barcelona, Man United, and it wasn't like that."