I've signed up for calc 3 and physics 2. They let us take calc 3 concurrently with differential equations, I was just trying to avoid unneeded filler classes to make it full time. Linear algebra isn't really required but I thought it looked interesting.MidgetDwarf said:
I need differential equations before partial differential equations, just looked it up. Looks like linear algebra is going to be a choice to take.Vanadium 50 said:
Differentials are infinitesimal changes in a variable, often denoted by "dx" or "dy". They are used in calculus to represent small changes in a function. Partial differentials are similar, but they involve taking the derivative of a function with respect to only one of its variables, while holding the other variables constant.
Differentials are necessary for understanding partial differentials because they provide a foundation for understanding how a function changes with respect to one variable. Without understanding differentials, it can be difficult to grasp the concept of taking a partial derivative.
Technically, yes, you can use partial differentials without explicitly knowing about differentials. However, understanding differentials can greatly enhance your understanding and intuition for partial differentials.
Differentials and partial differentials are used in a wide variety of scientific fields, including physics, engineering, economics, and biology. They are particularly useful in modeling and predicting how systems will change over time.
Some tips for improving your understanding of differentials and partial differentials include practicing problems, seeking out additional resources such as textbooks or online tutorials, and working with a tutor or study group. It can also be helpful to try visualizing differentials and partial differentials geometrically.