Syllabus

18.06 MWF 10am  Room 54-100

Fall 2009  

Lect 01: 09.09 W:  The Geometry of Linear Equations
Lect 02: 09.11 F:  Elimination with Matrices
Lect 03: 09.14 M:  Matrix Operations and Inverses
Lect 04: 09.16 W:  LU and LDU Factorization.  Problem Set 1 due.
Lect 05: 09.18 F:  Transposes and Permutations
Lect 06  09.21 M:  Vector Spaces and Subspaces
Lect 07: 09.23 W:  The Nullspace: Solving Ax = 0.  Problem Set 2 due.
Lect 08: 09.25 F:  Rectangular PA = LU and Ax = b
Lect 09: 09.28 M:  Row Reduced Echelon Form
Lect 10: 09.30 W:  Basis and Dimension.  Problem Set 3 due.
Lect 11: 10.02 F:  The Four Fundamental Subspaces
         10.05 M:  EXAM 1. Chapters 1--3.
Lect 12: 10.07 W:  Graphs and Networks.  Problem Set 4 due.
Lect 13: 10.09 F:  Orthogonality
         10.12 M:  holiday -- Columbus day
Lect 14: 10.13 T:  Projections and Subspaces
Lect 15: 10.14 W:  Least Squares Approximations.  Problem Set 5 due.
Lect 16: 10.16 F:  Gram-Schmidt and A = QR
Lect 17: 10.19 M:  Properties of Determinants
Lect 18: 10.21 W:  Formulas for Determinants.  Problem Set 6 due.
Lect 19: 10.23 F:  Applications of Determinants
         10.26 M:  EXAM 2. Chapters 1--5, 8.2.
Lect 20: 10.28 W:  Eigenvalues and Eigenvectors.  Problem Set 7 due.  
Lect 21: 10.30 F:  Diagonalization
Lect 22: 11.02 M:  Markov Matrices
Lect 23: 11.04 W:  Fourier Series, FFT, Complex Matrices.  Problem Set 8 due.
Lect 24: 11.06 F:  Differential Equations
Lect 25: 11.09 M:  Symmetric Matrices
         11.11 W:  holiday -- Veteran's day
Lect 26: 11.13 F:  Positive Definite Matrices.  Problem Set 9 due.
Lect 27: 11.16 M:  Matrices in Engineering
Lect 28: 11.18 W:  Similar Matrices. Problem Set 10 due.
Lect 29: 11.20 F:  Singular Value Decomposition
         11.23 M:  EXAM 3.  Chapters 1--6,  8.
Lect 30: 11.25 W:  Linear Transformations.  Problem Set 11 due.
         11.27 F:  holiday - Thanksgiving 
Lect 31: 11.30 M:  Choice of Basis
Lect 32: 12.02 W:  Linear Programming.  Problem Set 12 due.
Lect 33: 12.04 F:  Optimization
Lect 34: 12.07 M:  Numerical Linear Algebra
Lect 35: 12.09 W:  Course review
        12.14-18:  FINAL EXAM