I was Kicked Out of My House, But I'm Living Well Now

Lela is a reincarnated girl who was banished from her parents' home and raised in the middle of nowhere. Thanks to her spartan education for gifted children, she has grown up to be a splendid, brainy young lady! She uses her knowledge from her previous life to create useful magical tools, but when she is accepted into a nobleman's academy...? She falls in love at first sight with a handsome knight, gets into a fight with her half-sister, and has a string of unexpected troubles...?