I have 3 models:
class Student < ActiveRecord::Base
has_many :student_enrollments, dependent: :destroy
has_many :courses, through: :student_enrollment
Combining includes and where results in ActiveRecord performing a LEFT OUTER JOIN behind the scenes (without the where this would generate the normal set of two queries).
So you could do something like:
Course.includes(:student_enrollments).where(student_enrollments: { course_id: nil })
Docs here: http://guides.rubyonrails.org/active_record_querying.html#specifying-conditions-on-eager-loaded-associations