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zodiacbrave
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Hello,
This might sound like a dumb question but can one learn Linear Algebra before Calculus?
Thank you.
This might sound like a dumb question but can one learn Linear Algebra before Calculus?
Thank you.
Fredrik said:You don't need calculus. You need to understand what functions are and have some idea what sets are to understand the definition of a vector space, and you need know how to add and multiply real numbers (e.g. rules like (a+b)(c+d)=ac+ad+bc+bd). But that's it.
mathwonk said:e.g. the inverse function theorem in calculus says: if the derivative of a smooth function f at a is an invertible linear map, then locally near a, f is an invertible smooth map.
mathwonk said:i.e. correctly done, calculus is the art of using linear algebra to deduce things about non linear functions.
Linear Algebra is a branch of mathematics that deals with linear equations and their representations in vector spaces. It involves the study of linear transformations, matrices, and systems of linear equations.
No, it is not necessary to have a thorough understanding of Linear Algebra before learning Calculus. However, some basic concepts such as matrices and vectors are often used in Calculus, so having a basic understanding of Linear Algebra can be helpful.
The main topics covered in Linear Algebra before Calculus include vector operations, matrices and their properties, systems of linear equations, determinants, and eigenvalues and eigenvectors.
Linear Algebra has numerous applications in various fields such as engineering, physics, computer science, and economics. It is used to solve systems of linear equations, model and analyze data, and create computer graphics, among others.
The difficulty of learning Linear Algebra can vary for different individuals. Some concepts may be challenging at first, but with practice and understanding, it can become easier. It is important to have a strong foundation in algebra before learning Linear Algebra.