Applied Linear Algebra

**Course code:**Math 1025, Section B**Semester:**Fall (September-December) 2019**Place:**York University, Curtis Lecture Hall (CLH) D**Time:**Mondays, Wednesdays and Fridays, 3:30-4:30 PM**Lecturer:**Paolo Perrone (Office N605, Ross Building)**Office hours:**Wednesdays 1:30-3 PM or by appointment**Course outline:**PDF file here

- Systems of equations
- Matrices
- Determinants
- R
^{n} - Linear transformations
- Complex numbers
- Spectral theory
- Some curvilinear coordinates
- General vector spaces (if time permits)

- K. Kuttler,
*A first course in Linear Algebra*, Lyryx open text. Available as pdf here.

- The Youtube lecture series Essence of linear algebra by 3Blue1Brown is an excellent introduction to the basic concepts of linear algebra. You may want to check out the other videos of that channel too, for different topics, from calculus to machine learning.
- The Wikipedia page on linear algebra is also a good starting point, very well explained.
- The MIT Online Video Lectures on Linear Algebra are a freely available good resource, containing more advanced topics as well.
- The Khan Academy series on Linear Algebra contain very helpful tips as well as explicit examples.