Math 221 Section 204 Lecture Schedule

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Lecture schedule:
Date Topic Reading to prepare for class
Suggested practice problems Lecture Notes
Thurs, Jan 4 Linear systems + introduction to row reduction Section 1.1 1.1 exercises 11-14, 15, 17, 19, 23 Scanned Notes
Tues, Jan 9 Row reduction, vector equations Sections 1.2+1.3 1.2 exercises 1, 3, 5, 7-11, 13, 15, 17, 21, 23
1.3 exercises 1-4, 7, 11, 17, 23
Scanned Notes
Thurs, Jan 11 Vector equations and matrix equations Section 1.4 1.4 exercises 1-4, 9, 10, 11, 12, 21, 22, 23, 24 Scanned Notes
Tues, Jan 16 Solution sets of linear systems, starting on applications of linear systems. Sections 1.5-1.6 1.5 exercises 7-10, 13, 14, 15, 23, 24, 26, 27, 28-31, 32, 33 Scanned Notes
Thurs, Jan 18 Applications of Linear Systems, starting on linear independence Sections 1.6-1.7 1.6 exercises 1, 3, 7-11, 12-15 (the parts marked with an [M] are intended to be done with a calculator / math software and are optional). Scanned Notes
Tues, Jan 23 Linear independence and linear transformations Sections 1.7-1.8 1.7 exercises 1, 2, 5, 7, 9, 10, 15-20, 27, 28, 33-38. (Highlight to check your answers to 34, 36, 38: 34 is false, 36 is false, 38 is true) Scanned Notes
Thurs, Jan 25 Linear transformations and their matrices Sections 1.8-1.9 1.8 exercises 3,5,9,11,13-16,18,27,31,32-35
1.9 exercises 1-6,9,10,12,17,19,25,27,28
Scanned Notes
Tues, Jan 30 Matrix operations Section 2.1 2.1 exercises 1-4, 9, 10, 12, 13, 18-21, 27 Scanned Notes
Thurs, Feb 1 Inverses of matrices Section 2.2 2.2 exercises 1, 3, 5, 6, 8, 12, 21-24, 31, 32, 33 Scanned Notes
Tues, Feb 6 Characterizations of invertibility Section 2.3 2.3 exercises 1-8, 13, 17, 21, 23, 27, 33 Scanned Notes
Thurs, Feb 8 Midterm 1
Tues, Feb 13 Subspaces of Rn Section 2.5 2.5 exercises 1-4, 7, 9, 11-14, 23, 25, 27-29 Scanned Notes
Thurs, Feb 15 Dimension and Rank Section 2.6 2.6 exercises 1, 2, 3, 5, 7, 9, 11, 13, 14 Scanned Notes
Tues, Feb 20 No class - midterm break
Thurs, Feb 22 No class - midterm break
Tues, Feb 27 A bit about coordinates; introduction to determinants Sections 2.6 and 3.1 Scanned Notes
Thurs, Mar 1 More on determinants Sections 3.1 and 3.2 3.1 exercises 9, 11, 13, 15-18, 19, 21
3.2 exercises 1-4, 4, 7, 9, 15-20, 21, 25, 29
Scanned Notes
Tues, Mar 6 Eigenvectors and eigenvalues Section 4.1 4.1 exercises 1-8, 9, 11, 13, 15, 17-20 Scanned Notes
Thurs, Mar 8 The characteristic equation Section 4.2 4.2 exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 18 Scanned Notes
Tues, Mar 13 Diagonalization Section 4.3 4.3 exercises 1, 3, 5, 7, 9, 11, 15, 17, 23, 24, 27 Scanned Notes
Thurs, Mar 15 Discrete dynamical systems Section 4.6 4.6 exercises 1, 3-7, 15 Scanned Notes
Tues, Mar 20 Finishing with eigenvectors, starting inner products Sections 5.1-5.2 5.1 exercises 1, 3, 5, 7, 9, 11, 13, 15, 17, 24, 31 Scanned Notes
Thurs, Mar 22 Midterm 2
Tues, Mar 27 Orthogonal sets and orthogonal projections Sections 5.2-5.3 5.2 exercises 1, 3, 5, 7, 9, 13, 17
5.3 exercises 1, 3, 5, 11, 13, 15
Scanned Notes
Thurs, Mar 29 Orthogonal projections and the Gram-Schmidt process Sections 5.3-5.4 5.4 exercises 1, 3, 5, 7, 9 Scanned Notes
Tues, Apr 3 Least-squares problems Section 5.5 5.5 exercises 1, 3, 5, 7, 9, 11, 13, 19, 21 Scanned Notes
Thurs, Apr 5 Summary + a few final topics Scanned Notes

Homework schedule:
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.