Mathematics · Columbia University
How to solve systems of equations, how to understand matrix operations in the context of systems of equations.
Basic Linear Algebra Gauss Jordan elimination Gram-Schmidt algorithm Subspaces Determinants Diagonalization
I learned vector functions and derivations in 3-dimensional space. A lot of material was covered based on our knowledge of calc1 and calc 2, and it was enjoyable.
Linear Algebra: Kernel, Image, Subspace, Diagonalization, Orthogonal Matrix
- Working with vectors, vector functions, and geometry of space - differentiating, integrating, and manipulating such functions.
Matrices, Linear Transformations, Subspaces, Linear Spaces, Orthogonality and LSR, Determinations, Eigenvalues + Eigenvectors, Symmetic Matrices
We learned what I think is the essence of linear of algebra. From what I can tell, the course material was thorough.
This course built off of the foundational differential and integral calculus I'd learned in high school and delved into more novel topics I hadn't been as well-practiced in, specifically with its multivariable components.
Systems of linear equations, matrices, linear transformations, subspaces of n-dimensional space, bases and coordinates, orthogonality and least squares, determinants, eigenvalues and eigenvectors, spectral theorem, quadratic forms, discrete dynamical systems
BEST MATH CLASS I'VE EVER TAKEN. Most interesting I actually enjoyed going to class