Bailey World of Math

Description of Course:To this point, the mathematical education of students has been primarily one dimensional. Prior to delving to nonlinear vector-valued functions in several variables, linear algebra provides a study of linear vector valued functions in several variables, which are more algebraically rich and easier to study. Since the linear transformations studied will be primarily over the real numbers, students will find the graphs and introduction to the concept of kernel, image and coset somewhat easier to digest than if they studied group theory. Linear algebra will also prepare students for differential equations, a course they may study later, as differential operators are linear transformations.

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Chapter 1: Vectors and Vector Operations