Summary of material
Math 214 is a computationally based course in linear algebra. Major topics covered include:
- Reduced row echelon form and its use in describing solutions of linear equations
- Matrices and matrix multiplication
- Uses of linear algebra in two-dimensional and three-dimensional geometry and modeling
- Dot products and their geometric applications
- Least squares data fitting
- QR decomposition
- Determinants
- Eigenvalues and their applications to discrete dynamical systems
- Singular value decomposition and its applications
Math 214 does expect students to obtain a conceptual understanding of these topics, but does not expect them to produce formal mathematical proofs. Students who wish to learn to write proofs should consider Math 217 or Math 201.