MATH 20F: Linear Algebra Winter 2007
General information > Lecture schedule

Lecture schedule

This schedule is subject to revision during the term.

 # Date  Section(s)Subject Download
 1 Mon, Jan 8
 1.1
 Introduction, linear systems
 
 2 Wed, Jan 10  1.2 Solving linear systems, echelon forms
 Slides
 3 Fri, Jan 12
 1.3, 1.4
 Vector equations, the matrix equation Ax=b Slides
 4 Wed, Jan 17
 1.4, 1.5  Matrix-vector product, solution sets of linear systems Slides
 5 Fri, Jan 19  1.6 Applications of linear systems Slides
 6 Mon, Jan 22 1.7  Linear independence Slides
 7  Wed, Jan 24
 1.8 Introduction to linear mappings
 Slides, review sheet
 8 Fri, Jan 26
 1.9 The matrix of a linear transformation
 Slides, review sheet 
 9 Mon, Jan 29 2.1 Matrix operations
 Slides
 I Wed, Jan 31
 1.1-1.9, 2.1 Midterm exam I
 Exam, solutions
 10 Fri, Feb 2  2.2 The inverse of a matrix
 Slides
 11 Mon, Feb 5
 2.3, 2.5
 Characterizations of invertible matrices, LU factorization
 Slides , review sheet
 12 Wed, Feb 7
 4.1 Vector spaces and subspaces
 Slides
 13 Fri, Feb 9
 4.2 Null spaces, column spaces, kernels, and ranges
 Slides
 14 Mon, Feb 12
 4.3  Linearly independent sets, bases  Slides
 15 Wed, Feb 14
 4.5, 4.6  Dimension, rank Slides
 16 Fri, Feb 16
 4.4, 4.7 Coordinate systems, change of basis
 Slides
 17 Wed, Feb 21
 3.1,3.2 Determinants Slides
 18 Fri, Feb 23
 3.2, 3.3
 More on determinants, Cramer's rule, volume, linear transformations
 Slides
 19 Mon, Feb 26
 2.2- Review Slides
 II Wed, Feb 28
 2.2- Midterm exam II
 Exam, solutions
 20 Fri, Mar 2
 5.1, 5.2 Eigenvectors and eigenvalues, the characteristic equation Slides
 21 Mon, Mar 5
 5.3 Diagonalization
 Slides
 22 Wed, Mar 7
 6.1
 Inner product, length, orthogonality Slides
 23 Fri, Mar 9
 6.2, 7.1
 Orthogonal sets, diagonalization of symmetric matrices
 Slides
 24 Mon, Mar 12
 6.3, 6.5 Orthogonal projections, least-squares problems
 Slides
 25 Wed, Mar 14
 6.4
 The Gram-Schmidt process Slides
 26  Fri, Mar 16
 5.1- Review
 Slides
 III Wed, Mar 21
 1.1- Final exam
Exam