My mother in law got a degree in mathamatics, and was a software engineer, she just got a promotion into management (she is Korean by the way). My little sister works in computer networking and security, and has become the go-to woman in her department (she hasn't even worked there a year) She doesn't have a degree, but has military experience(not korean). And my cousin-in-law also works in IT (not korean). I know lots of women who have careers in computers. I am a college student and have meet lots of women interested in hard science. I had a chemist in my economics class. And half my integral calculus class were women. (I got an A!!! Who says dyslexics can't do math!) And my husband's math teacher is a woman is working on getting her PHD in mathmatics.
software engineers are glorified programmers (nothing wrong with that), and math degrees are not science.
Women stay away from the non-life sciences and engineering in droves, they are not as suited for it, nor as interested. Women have the luxury of choosing majors based on interest and passing fancy (media studies and art history majors for example, are almost all women or gay men). Men tend to major in areas that relate directy to income.