in this day and age, when there are software like Maple and Mathematica and all the fancy graphical calculators, I often wonder how much time we waste even in higher learning when we use old paper and pen-methods to do our math. I mean that why do we learn and use step by step methods to take for example derivatives and integrals, when we could just solve them with calculators/software. What even the point of learning to use quadratic equation when you can always just solve it with calculator? Does it really give you any more understanding about the math beyond? Atleast it really is a waste of time. I mean think how much time for example physics student could use to really learning to understand physics, if they wouldn't waste their time by mechanically crunching differential equations step by step, when they could just get the values out of computer/calculator. Or is there something important in this that I miss? Because sometimes I see even professional physicist solving calculus equations step by step when they could easily get the value of x out of the equations with calculator in no time?