Definitely one of the harder courses. However, I came out with good MATLAB knowledge, which I used in other courses I was taking at the same time. The course felt like a combination of many of my past MATH courses but more in-depth and difficult.It always feels rewarding when you get to apply mathematical concepts to real world problems like chemical systems, circuits, and Markov Chain probabilities.

Topics Covered:

- Solving linear equations
- Interpolation
- Finite difference approximations
- Subspaces, basis and dimension
- The four fundamental subspaces for a matrix
- Graphs and networks
- Projections
- Complex vector spaces and inner product
- Orthonormal bases, orthogonal matrices and unitary matrices
- Fourier series
- Discrete Fourier transform
- Eigenvalues and Eigenvectors
- Hermitian matrices and real symmetric matrices
- Power method
- Recursion relations
- Markov chains
- Singular value decomposition
- Principle component analyis (PCA)
- Applications of linear algebra to problems in science and engineering
- Use of computer algebra systems for solving problems in linear algebras