I'm a BS Math Student Majoring in Actuarial Science, finished with math subjects like Differential Calculus, Statistics, and Linear Algebra, currently studying Integral Calculus, Math Logic, and Probability Theory in my third year at College. By the time I graduate, I've already have finsihed Real and Numerical Analysis, Life Contengiencies and the like. My new professors suggest that I take up graduate school before I take up any Actuarial Science Exams because the current curriculum isn't sufficient enough for us to passthe exams to become Actuaries. I was thinking I should just do some self study on the subjects I'm not familiar with, particularly math subjects involving "Advanced Calculus". I'm not sure what Advanced calculus means because the term Advanced may be different to other people. 1.) Can anyone tell me what the scope of "Advanced Calculus" is? 2.) Are there any good books out there that can help me learn "Advanced Calculus"? I'm particularly interested in books that show definitions and proofs that are "easy to digest" with moderate exercises to solve.