2270-2 Spring 2010 Reading Schedule Week 1, Jan 11-15 Section 1.1,1.2,1.3. Solving linear systems of equations. Week 2, Jan 19-22 Sections 2.1,2.2,2.3. Print and read the first maple lab. Vector, dot product, vector space, linear transformation, inverse, geometry, matrix operations. Week 3, Jan 25-29 Sections 2.4,3.1,3.2. Kernel, image, subspace, independence, basis, pivot theorem. Week 4, Feb 1-5 Sections 3.3,3.4. Dimension. Coordinates. Week 5, Feb 8-12 Sections 4.1,4.2. Vector space, linear transformation, isomorphism, matrix of a linear transformation. Week 6, Feb 16-19 Sections 4.3,5.1,5.2. Orthonormal basis, Gram-Schmidt process, QR-factorization. Week 7, Feb 22-26 Section 5.3. Read Ch 1-3, to prepare for Exam 1, on Thu Feb 25. Orthogonal transformation, projection, normal equations, near point theorem. Week 8, Mar 1-5 Sections 5.4,5.5. Data fit, least squares, four fundamental subspaces, inner product, Fourier series. Week 9, Mar 8-12 Sections 6.1,6.2,6.3,7.1. Determinant, adjugate formula, cofactor, 4 Rules, Cramer's rule. Discrete dynamical systems. Week 10, Mar 15-19 Sections 7.1,7.2,7.3. Eigenanalysis, diagonalization. Spring Break: Mar 20-28 Happy Holiday! Week 11, Mar 29,30,31, Apr 1,2 Sections 7.4,7.5. Diagonalization, complex eigenvalues. Week 12, Apr 5-9 Sections 7.6,8.1. Stability, Symmetric matrix, Quadratic form. Week 13, Apr 12-16 Sections 8.2,8.3. Spectral theory. Quadratic forms. Singular value decomposition. Start Final Exam review ch 2 to 9. Week 14, Apr 19-23 Sections 9.1,9.2. Read ch 4-7 to prepare for Exam 2, on Thu Apr 22. Dynamical systems. Linear differential equations. Week 15, Apr 26,27,28 Section 9.3, Dynamical systems applications. Week 16, Final Exam 6-8pm in JTB 130 on Tuesday May 4, 2010.