General chemistry does contain the elemental principles of analytical chemistry, but analytical chemistry is generally an upper-division chem course and you probably need to have completed general chem to get into it.
Analytical is the math of chemistry. statistical error in measurements, probabilities, exacting quantifications of analytes by methods such as: titration, gravametric precipitation, and various spectroscopic methods.
These subjects may be mentioned in general chemistry, and you may learn about their functions generally, but not to the exactness they are covered in analytical chem. I'm taking Analytical right now. It's tough, but I've heard Physical chemistry (P-chem) is much tougher.
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