Is there other way to get into more advanced study of math, with a low GPA? I am a second-year undergraduate majoring in mathematics. In my first year of studies, I didn't do really well on my exams and therefore my results were not good, with a GPA at around 2. I didn't really put time into it, but when I started learning advanced probability, I found that I am interested in it and want to study more and am even thinking of doing research. Also I think I have found my way to study math as I didn't quite do before. In that semester, I got 2 A+. In my school, I heard that people who apply for a master's degree normally have a first-class honors degree. Is there another way to get into more advanced study of math, even with a low GPA?
Admissions committees (at least in the US) are generally forgiving of low grades in your first year, especially if you (and your recommendation letters) tell a compelling story about hitting your groove/finding your passion for the material in your second year.  Keep your grades up, get some undergraduate research experience, and you'll be fine.