remember是记住，别忘了（干某事，某个人）
eg. Remember to turn off the lights when you leave.
I will remember you forever.

memorize是把……牢记于心，背诵
eg. You don't have to memorize all the fomulas. They will be provided during the exam.
你不用去记那些公式，考试的时候会给的。
留意相近但不同的用法. ●memorize = 记忆. ●remember = 记起.