## Math 221 Section 204 Lecture Schedule

### Main Page — Quiz/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 4.6Section 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.
• 1.1 Systems of linear equations
• 1.2 Row reduction and echelon forms
• 1.3 Vector equations
• 1.4 The matrix equation Ax = b
• 1.5 Solution sets of linear equations
• 1.6 Applications of linear systems (skip chemical equations)
• 1.7 Linear independence
• 1.8 Introduction to linear transformations
• 1.9 The matrix of a linear transformation
• 2.1 Matrix operations
• 2.2 The inverse of a matrix (skip elementary matrices)
• 2.3 Characterizations of invertible matrices
• 2.5 Subspaces of Rn
• 2.6 Dimension and rank
• 3.1 Introduction to determinants
• 3.2 Properties of determinants
• 4.1 Eigenvectors and eigenvalues
• 4.2 The characteristic equation
• 4.3 Diagonalization
• 4.4 Eigenvectors and linear transformations
• 4.6 Discrete dynamical systems
• 5.1 Inner product, length, and orthogonality
• 5.2 Orthogonal sets
• 5.3 Orthogonal projections
• 5.5 Least-square problems