# Math 22: Lecture schedule and practice problems - SUMMER 2017

Section 1 (Barnett) has the X-hour on Thursday 12:15pm-1:05pm in Kemeny 008.
Section 2 (Musty) has the X-hr on Tuesday 12:15pm-1:05pm in Kemeny 108.

lecture week date reading, reminders daily topics section 1 resources section 2 resources practice problems from book
#1 0 June 23 F website, 1.1 Systems of linear equations solnsets worksheet lecture01.pdf 5, 7, 9, 11, 13, 21, 27
#2 June 24 Sa 1.2 Row reduction, echelon forms row reduction, echelon form examples; echform worksheet lecture02.pdf 1;4205;0c
classwork02.pdf
3, 5, 13, 15, 19, 21(ans:ffttf), 31
#3 1 June 26 M 1.3 Vector equations, linear combinations, span span worksheets: from class, another lecture03.pdf 7, 9, 11, 15, 21, 22, 23(ans:ffttf)
#4 June 28 W 1.4, 1.5 The matrix equation Ax=b, solution sets matvec lecture04.pdf 1.4: 3, 9, 15, 19, 23(ans:ftfttt)
1.5: 7, 15, 23(ans:tffft), 27, 31
#5 June 30 F 1.6, 1.7, HW1 Due Linear independence, Applications: network flow lecture05.pdf 1.6: 11, 12
1.7: 5, 13, 17, 21(ans:fftt), 25, 27, 33, 37, 39
X-hour Resources on proofs doing proofs methods of proof lectureX01.pdf
#6 2 July 3 M 1.8 Introduction to linear transformations lecture06.pdf
classwork06.pdf
classwork06ans.pdf linxform
lecture06.pdf
classwork06.pdf
classwork06ans.pdf
7, 9, 11, 13, 17, 19, 21(ans:tffft), 27
#7 July 5 W 1.9 The matrix of a linear transformation onto and 1-1 lecture07.pdf
classwork07.pdf
classwork07ans.pdf
3, 9, 15, 17, 23(ans:ttfff)), 25, 35.
#8 July 7 F 1.10, 2.1 HW2 Due. Applications: difference equations, matrix operations matrix multiplication lecture08.pdf 1.10: 9. 2.1: 3,5,9,15(ans:ffttf),16(ans:ftfft),17,21(tricky),23.
X-hour Resources on proofs more critical thinking about proofs
No X-hour for section 2 this week (they are welcome in section 1)
1x1 lin sys proofs, Is it a proof?
#9 3 July 10 M 2.2 The inverse of a matrix basic inverse computation lecture09.pdf 7, 10(ans:ftttf), 13, 17, 19, 21, 31, 35
#10 July 12 W 2.3 Characteristics of invertible matrices (exercise proving p.114 of book) lecture11.pdf 3,7,11(ans:ttftt),15,17,22,27,33.
#12 July 14 F 4.1, HW3 Due Vector spaces and subspaces subspace lecture12.pdf 2,3,7,9,15,17,31
X-hour (#11) 3.1, 3.2 Extra lecture (a one-off): Determinants and their properties (for section 2: X-hr is Tuesday so lecs #10 and #11 swapped) det via row red. lecture10x.pdf 3.1: 5,9,11,35,37; 3.2: 7,23,27(ans:tftf),29,31,33,39
#13 4 July 17 M 4.2 Null and column spaces lecture13.pdf 3, 7, 11, 17, 21, 23, 25(ans:tftftt). [For some harder ones: 31, 35]
#14 July 19 W 4.3 Bases, spanning set theorem lecture14.pdf 3,5,11,13,15,19,21(ans:tftff),23,25(be careful & see prac prob 3!)
Midterm 1: Wednesday July 19, 6:00pm - 8:00pm, Kemeny 008 (solutions)
#15 July 21 F 4.4, HW4 Due Coordinate systems and isomorphism basis for Col A lecture15.pdf
classwork15.pdf
3,7,11,13,15(ans:tff),21,23,27
X-hour m22matlab.m
m22sage-notebook
sage-quickref.pdf
sage-for-linear-algebra.pdf
#16 5 July 24 M 4.5 Dimension of a vector space or subspace dimension of subspaces of R3 worksheet lecture16.pdf 5,7,11,13,19(ans:ttfft),21,23,29(ans:ttt),31 (ie T cannot grow the dim!)
#17 July 26 W 4.6 The rank theorem abstract V.S. review, rank and bases worksheet lecture17.pdf 4.6: 1,5,9,15,17(ans:tftft),19,27,29,33
#18 July 28 F 5.1, HW5 Due Eigenvectors and eigenvalues eigen worksheet lecture18.pdf 5.1: 7,9,15,17,20,21(ans:ftttf),23,26(note that A may not be the zero matrix),27,31(find both eigenvalues)
X-hour Resources Linear algebra on the computer, MATLAB No X-hour for section 2
#19 6 July 31 M 5.2 The characteristic equation (Quiz 2 for section 1). char eqn (use for practise) lecture19.pdf 5.2: 3,7,11,15,18,22bcd(ans:ftf),23,25(see Ex.5)
#20 Aug 2 W 5.3 Diagonalization diagonalization lecture20.pdf 5.3: 5,7,9,13,21(ans:ttff),23,25,27,28
#21 Aug 4 F 4.9, Resources, HW6 Due Applications: Markov chains, Google PageRank evolve.m lecture21.pdf
PageRank2x2
PageRank3x3
PageRank4x4
4.9: 1,5,9,11,19, & writing the A and G matrices for any small web.
X-hour mathematical language grammar worksheet, mid2 prac qus (Quiz for section 2)
#22 7 Aug 7 M 6.1 Inner products, orthogonality lecture22.pdf 6.1: 1,5,9,13,19(ans:tttft),24,28,30.
Midterm 2: Tuesday August 8, 6:00pm - 8:00pm, Kemeny 008 (solutions)
#23 Aug 9 W 6.2 Orthogonal sets orthog sets worksheet lecture23.pdf 6.2: 9,11,13,21,23(ans:ttftf),25,28(key),29,33.
#24 Aug 11 F 6.3, HW7 Due Orthogonal projections lecture24.pdf 6.3: 3,7,13,15,17(good),19,22(ans:tttff),23,24
X-hour
#25 8 Aug 14 M 6.4 Constructing orthogonal bases: Gram-Schmidt Guest lecture: Lizzie Tripp Guest lecture: Emma Hartman
classwork25.pdf
6.4: 3,7,9,13,17(ans:ttt),18(ans:ttt),19,21,22.
#26 Aug 16 W 6.5 Least-squares problems least sq worksheet lecture26.pdf 6.5: 1,5,9,13,17(ans:ttftt),19(lovely; note b has a vector 0 that should be a scalar 0),20,21,25.
#27 Aug 18 F 7.4, HW8 Due Singular value decomposition (SVD) lecture27.pdf
SVD2x2
7.4: 3,7,11,13,14(1st row of V^T),18,19,21.
X-hour Guest lecture: Lizzie Tripp (7.1 and trace formula for graphs)
#28 9 Aug 21 M 7.4, 7.5 Applications of SVD: fundamental spaces, low rank approximation, principal component analysis (PCA) lowrankapprox.m demo, needs mystery.jpg lecture28.pdf
X-hour Guest lecture: Emma Hartman
#29 Aug 23 W HW9 Due Review review diag/orthog lecture29.pdf
classwork29.pdf
classwork29ans.pdf
Final Exam (Section 1): Monday August 28, 8:00am-11:00am, location Kemeny 008 (solutions)
Final Exam (Section 2): Sunday August 27, 8:00am-11:00am, location Kemeny 006 (solutions)