Linear algebra is the study of systems of linear equations, matrices, vectors, linear functions, and vector spaces. The central ideas in linear algebra are so powerful that their influence seeps into many other branches of mathematics and statistics, the sciences, engineering, and economics.
I am offering the course at Soka this Spring 2022. The class will have no prerequisite, though some mathematical maturity is advised.
The syllabus from the last time I taught this course, Fall 2021, can be found here.
Learning Goals for the course:
Developing a mastery of the particular tools of linear algebra (the ability to solve systems of linear equations, work with matrices, find eigenvalues and eigenvectors),
Understanding the concepts behind these tools (What is a vector space? How are matrices related to linear transformations? What is linear independence?),
Improving problem-solving skills (using tools in new settings, approaching hard problems, struggling through adversity),
Learning how to understand and communicate logical and mathematical arguments,
Gaining a positive association with mathematics
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