These notes contain what is considered the first computer program – that is, an algorithm encoded for processing by a machine. Ada's notes are important in the early history of computers. She also foresaw the capability of computers to go beyond mere calculating or number-crunching while others, including Babbage himself, focused only on these capabilities.
I read all about this yesterday - she's pretty amazing isn't she? From a broken home with a neglectful mother, didn't learn mathematics until she was 17, then she and her DH both had affairs after they married, then she died at 36 from uterine cancer.