You will be seeing this material again, and should develop valuable skills for your future. Vector in the Plane and in 3-Space, Vector Spaces, Subspaces, Span and Linear Independence, Basis and Dimension, Homogeneous Systems, Rank of a Matrix. Linear Transformation, Matrix of a Linear Transformation, Vector Spaces of Matrices and Vector Spaces of Linear Transformation, Similarity. Determinants, Properties of Determinants, Cofactor Expansion, Inverse of a Matrix, Applications of Determinants. Eigenvalues, and Eigenvectors, Diagonalization and Similar Matrices, Stable Age Distribution in a Population, Real Quadratic Forms.
Daily homework is required.
After you have tried all the problems on your own, I would strongly encourage you to work with others, so you can help each other with the difficult questions. However, you should write up your solutions individually in your own words. When writing up your homework try to present your work as clearly and completely as possible. Please use white paper from a standard size 8.5 X 11 Pad or loose-leaf binder, but not ripped out of a spiral notebook. Class attendance is required.