
 Sept 4: Course intro and OAC review: complex numbers (Ch. 1.7)
 Sept 9: OAC review: polar form, dot + cross product (Ch. 1.14, 1.6)
 Sept 11: OAC review: equation of planes, lines, intersection, angles (Ch. 1.5)
 Sept 16: math notation (sets, functions) (Ch. 4.1)
 Sept 17: vector spaces (Ch. 4.23)
 Sept 23: subspace test (Ch. 4.5)
 Sept 25: linear combinations, span (Ch. 4.4, 4.6 up to top of p.124)
 Sept 30: systems of linear equations, Gaussian elimination, echelon form (Ch. 3.13 and 3.56)
 Oct 2: Review, row canonical form (parts of Ch. 3.7)
 Oct 7: span of an infinite set, row/column space, linear independence (Ch. 4.64.7)
 Oct 9: linear independence examples, basis (Ch. 4.8)
 Oct 14: properties of bases, examples (Ch. 4.8, 3.11 up to p.86)
 Oct 16: Matrix multiplication (Ch. 2.13, 2.5)
 Oct 21: Problem solving skills, rank, row canonical form (Ch. 4.9, 3.7)
 Oct 23: matrix form of linear systems Ax=b, null space of a matrix, linear functions, examples in R^2, matrix of a linear function F:R^2>R^2 (Ch. 3.9, 5.3)
 Oct 28: fast matrix multiplication, inverse of a matrix, postscript demo (Ch. 2.9)
 Oct 30: coordinates, matrix of a general linear function (Ch. 4.11, 6.12, 6.5)
 Nov 4: trace, determinant, change of basis, composition of linear functions (Ch. 2.7, 8.16, 6.3)
 Nov 6: review
 Nov 11: change of basis and matrix representation of a linear function (Ch. 6.3)
 Nov 13: eigenvectors, eigenvalues, diagonalization (Ch. 9.1, 9.45)
 Nov 18: characteristic polynomial, multiplicity of eigenvalues, examples (Ch. 9.5)
 Nov 20: eigenspaces, polynomials of matrices, CayleyHamilton theorem, solving B^2=I and B^2=A, similar matrices (Ch. 9.2, 9.3)
 Nov 25: eigenvectors and diagonalization of real symmetric matrices (Ch. 9.6). Example: coupled oscillations.
 Nov 27: image and kernel of linear maps, determinants via minors and cofactors (Ch. 5.4, 8.7). Example: Fourier analysis.
