Math 221 Section 204 Lecture Schedule

Main PageQuiz/Exam info


Lecture schedule:
Date Topic Reading to prepare for class
Quiz/Exam? Lecture Notes
Tues, Jan 3 Course overview; Systems of linear equations Sections 1.1+1.2 Scanned Notes
Thurs, Jan 5 Row reduction and vector equations Sections 1.2+1.3 Scanned Notes
Tues, Jan 10 Vectors and matrix equations Sections 1.3+1.4
Some additional notes on vectors
Quiz 1: Sections 1.1-1.3 Scanned Notes
Thurs, Jan 12 Matrix equations and solution sets Sections 1.4+1.5 Scanned Notes
Tues, Jan 17 Applications of linear systems; linear independence Sections 1.6+1.7 Quiz 2: Sections 1.3-1.5 Scanned Notes
Thurs, Jan 19 Linear independence, linear transformations Sections 1.7+1.8 Scanned Notes
Tues, Jan 24 Linear transformations, Matrix of a linear transformation Sections 1.8+1.9 Quiz 3: Sections 1.6-1.8 Scanned Notes
Thurs, Jan 26 Matrix of a linear transformation, and review Section 1.9 Scanned Notes
Tues, Jan 31 Midterm 1: Sections 1.1-1.9
Thurs, Feb 2 Matrix operations Section 2.1 Scanned Notes
Tues, Feb 7 Inverses of matrices Section 2.2 Quiz 4: Section 2.1 Scanned Notes
Thurs, Feb 9 Invertible matrices; subspaces of Rn Sections 2.3+2.5 Scanned Notes
Tues, Feb 14 Subspaces of Rn; dimension and rank Sections 2.5+2.6 Quiz 5: Section 2.2-2.3 Scanned Notes
Thurs, Feb 16 Dimension and rank Section 2.6
also coordinate system notes
Scanned Notes
Tues, Feb 28 Determinants Section 3.1 Quiz 6: Sections 2.5-2.6 Scanned Notes
Thurs, Mar 2 More about determinants Section 3.2 Scanned Notes
Tues, Mar 7 Midterm 2: Sections 2.1-3.2
Thurs, Mar 9 Eigenvectors and eigenvalues Section 4.1 Scanned Notes
Tues, Mar 14 The characteristic equation Section 4.2 Quiz 7: Section 4.1 Scanned Notes
Thurs, Mar 16 Eigenvectors and diagonalization Section 4.3
Section 2 of coordinate system notes
Scanned Notes
Tues, Mar 21 Coordinate systems and diagonalization Section 4.4
Section 2 of coordinate system notes
Quiz 8: Sections 4.2-4.3 Scanned Notes
Thurs, Mar 23 Discrete Dynamical Systems Section 4.6
Section 1 of dynamical systems notes
Scanned Notes
Tues, Mar 28 The inner product and orthogonality Section 5.1 Quiz 9: Sections 4.4 and 4.6 Scanned Notes
Thurs, Mar 30 Orthogonal sets, orthogonal projections Sections 5.2, 5.3 Scanned Notes
Tues, Apr 4 Orthogonal projections, least squares Sections 5.3, 5.5 Quiz 10 Scanned Notes
Thurs, Apr 6 Least squares, the spectral theorem, and wrap-up Section 5.5 Scanned Notes

The sections listed above are for the textbook for the course, the third custom UBC edition of Linear Algebra and its Applications by David Lay - if you have the non-custom edition the section numbers will be different. For reference, the sections we'll cover in the course are the following.