Incorrect table definition; there can be only one auto column and it must be defined as a key

I am attempting to migrate from MS SQL to MYSQL, using the MYSQL Migration Toolkit.  I have generated scripts with the tool that I am running from myPHPadmin.  While some of the CREATE TABLE commands are working, a few of them generate this error:

Incorrect table definition; there can be only one auto column and it must be defined as a key.

My understanding is you cannot have more than one field with auto_increment, and it must be primary key.  Can you not have multiple primary keys but set only one of the to auto_increment?

DROP TABLE IF EXISTS `captain1`.`tblEducation`;
CREATE TABLE `captain1`.`tblEducation` (
  `UserID` INT(10) NOT NULL,
  `EducationID` INT(10) NOT NULL AUTO_INCREMENT,
  `InstituteName` VARCHAR(50) NULL,
  `ProgramName` VARCHAR(50) NULL,
  `LevelObtained` VARCHAR(50) NULL,
  `StudyFrom` DATETIME NULL,
  `StudyTo` DATETIME NULL,
  `GradDate` DATETIME NULL,
  `Skills` VARCHAR(50) NULL,
  `Type` VARCHAR(50) NULL,
  PRIMARY KEY (`UserID`, `EducationID`),
  CONSTRAINT `FK_tblEducation_tblUsers` FOREIGN KEY `FK_tblEducation_tblUsers` (`UserID`)
    REFERENCES `captain1`.`tblUsers` (`UserID`)
    ON DELETE NO ACTION
    ON UPDATE NO ACTION
)
ENGINE = INNODB;

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