Linear Algebra Calculus
Linear algebra a free text for a standard us undergraduate course jim hefferon mathematics and statistics department saint michaels college jhefferon at smcvtedu.
Linear algebra calculus. If you are linking to this site please use that page for a broad list or link to linearpugetsoundedu specifically for the linear algebra text. A first course in linear algebra is an introductory textbook designed for university sophomores and juniors. We will begin our journey through linear algebra by defining and conceptualizing what a vector is rather than starting with matrices and matrix operations like in a more basic algebra course and defining some basic operations like addition subtraction and scalar multiplication. You can use it as a main text as a supplement or for independent study. Linear algebra matrix algebra homogeneous systems and vector subspaces basic notions determinants and eigenvalues diagonalization the exponential of a matrix applicationsreal symmetric matrices classification of conics and quadrics conics and the method of lagrange multipliers normal modes.
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations. The book begins with systems of linear equations then covers matrix algebra before taking up finite dimensional vector spaces in full generality. Typically such a student will have taken calculus but this is not a prerequisite. This note covers the following topics. Open source textbooks this page is no longer maintained as of september 2010 instead i am concentrating recommendations and examples within the undergraduate mathematics curriculum so please visit the open math curriculum page.
Linear algebra is a text for a first us undergraduate linear algebra course.