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Kidphysics
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What to take first? Much help would be appreciated: Just took calc 1 and discrete mathematics.
pergradus said:DiffEQ IS calculus.
You can take linearalgebra without calc II, and it would do you good for difeQ as well. (some ideas come into play when solving systems of linear differential equations)
Are you a math major? Even if not, taking calc II and linear algebra together would be a good choice IMO.
don't take differential equations till you've mastered integration - you'll be doing tons of it.
Differential equations and linear algebra are two branches of mathematics that deal with different concepts. Differential equations focus on finding the relationship between a function and its derivatives, while linear algebra deals with linear transformations and systems of linear equations.
Differential equations and linear algebra have numerous applications in fields such as physics, engineering, economics, and biology. Some examples include modeling of population growth, predicting the spread of diseases, designing electrical circuits, and analyzing financial markets.
Linear algebra is often used to solve systems of differential equations, as it provides tools for manipulating matrices and vectors. Additionally, many concepts in linear algebra, such as eigenvalues and eigenvectors, have applications in solving differential equations.
In differential equations, key concepts include finding solutions to differential equations, stability analysis, and numerical methods for solving equations. In linear algebra, key concepts include vector spaces, matrices, determinants, and eigenvalues and eigenvectors.
To improve your understanding of these concepts, it is important to practice solving problems and working through examples. Additionally, seeking out additional resources such as textbooks, online tutorials, and attending lectures or workshops can also help deepen your understanding.