Don’t know how related is this, but when I started studying maths seriously I always used Desmos to graph everything, and tried to think how the graph would look before entering the function on it, to a point when I could kinda see the curve on my mind just by looking at the function. It was extremely useful during tests, being able to visualize the curve and have it help me with the problems, and is still useful now that I work in a math intensive environment.
Same here, was very useful in Calc 3 when we were talking about volumes in 3d space. Starts to break down a bit when you’re thinking of 3d volumes as solutions to equations of 4 variables (which would actually be describing a 4d shape, that intersects 3d space in certain regions).
Trying to visualize abstract 3d shapes from a formula makes my head hurt. It’s definitely something I’ll get better at as I begin to recognize the patterns in multivariable functions but at the moment it’s a real struggle
Don’t know how related is this, but when I started studying maths seriously I always used Desmos to graph everything, and tried to think how the graph would look before entering the function on it, to a point when I could kinda see the curve on my mind just by looking at the function. It was extremely useful during tests, being able to visualize the curve and have it help me with the problems, and is still useful now that I work in a math intensive environment.
Same here, was very useful in Calc 3 when we were talking about volumes in 3d space. Starts to break down a bit when you’re thinking of 3d volumes as solutions to equations of 4 variables (which would actually be describing a 4d shape, that intersects 3d space in certain regions).
Trying to visualize abstract 3d shapes from a formula makes my head hurt. It’s definitely something I’ll get better at as I begin to recognize the patterns in multivariable functions but at the moment it’s a real struggle