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Math 113: Linear Algebra and Matrix Theory

In Fall 2015 I taught Math 113 at Stanford University. The course assistant was Guanyang Wang. For questions about the material and class discussions, we used the Math 113 Piazza page.

Homework:

The midterm exam (solutions), and practice midterm (solutions), and the final exam.

Material covered:

The full syllabus for the course is available here.

Course description: Math 113 is a course on linear algebra, the study of vector spaces and linear maps. The emphasis will be quite theoretical: we will study abstract properties of vector spaces and linear maps as well as their geometric interpretation, mostly ignoring the computational aspects. If you are more interested in applications of linear algebra, you should consider taking Math 104 instead.
     Besides studying linear algebra, an important goal of the course is to learn how to write mathematics. In class we will give rigorous proofs, emphasizing proper mathematical language and notation. Through the homework assignments, you will learn to apply mathematical reasoning and write clear, compelling and correct proofs yourself. Your homework and exams will be judged accordingly. No background in linear algebra or proofs is assumed, and there are no formal prerequisites for the course; Math 113 is appropriate for students who have already seen some linear algebra in Math 51.

Textbook: Sheldon Axler, Linear Algebra Done Right (3rd ed), required.

Further resources: