Text: Custom version of Linear Algebra with Applications by Gareth Williams (available at Amherst Books)
Date 
Topic 
Assigned Work and Links 
Due Date 
1/241/25  
Th 
Overview of course Lab #1 in Webster 102 
Mathematica Help Sheet  
F 
1.1 Matrices and systems of linear equations 1.2 GaussJordan elimination 
Set 1 (p11): 11c, 12d, 13c 
Wed 1/30 
1/282/1 

M  1.3 Vector space R^{n} 1.4 Subspaces of R^{n } 
Set 3 (p30): 9ac, 10ac, 11ac Set 4 (p): 1a, 2d, 3abcd, 4, 8, 11abc 
Fri 2/1 
W 
1.5 Basis and dimension in R^{n}  Set 5 (p41): 2, 3ad, 6af, 8bc, 11ab, 16, 17, 19ac  Mon 2/4 
Th 
Lab #2 Curve fitting  
F 
1.6 Dot product, angle, norm 1.7 Traffic flow 
Set 6 (p52): 4c, 8c, 11c, 13b, 17d, 21, 24, 34 Set 7 (p61): 16 
Wed 2/6 
2/42/8 

M 
2.1 Matrix addition and multiplication 
Set 1 (p85): 5af, 8ad, 15a, 18 Note: solutions are at end of chapter (p170) 
Fri 2/8 
W 
2.2 Properties of matrix operations  Set 2 (p96): 3, 12abc, 14ac, 15, 17, 23, 24ac, 26, 27, 33, 36, 40, 42  Mon 2/11 
Th 
Lab #3 Concrete mixes  
F 
2.3 Symmetric matrices 
Set 3 (p108): 1ef, 7, 9, 10, 11ad, 14, 16ac, 20, 21, 23, 28a  Wed 2/13 
2/112/15 

M 
2.4 Matrix inverse  Set 4 (p120): 5a, 7a, 8a, 10, 12ac, 26, 27, 32, 33bdf  Mon 2/18 
W 
2.5 Matrix transformations  Set 5 (p133): 5bg, 8bd, 10a, 12ab, 14, 19, 20, 21  Wed 2/20 
Th 
No class  Hill cipher worksheet and Mathematica file Optional reading: Lester Hill's 1929 article on his cipher 

F 
No class  
2/182/22  
*Wed and Thurs schedule reversed this week  
M 
2.6 Linear transformations  Set 6 (p143): 2, 4b, 12b, 13d, 16, 19, 21, 26, 34ab, 37  Fri 2/22 
W 
Lab #4 Leontief model (section 2.7) and generation of fractals in Webster 102  
Th 
2.8 Markov chains in Mudd 206  Set 8 (p156): 2, 6  Wed 2/27 
F 
Review  
2/253/1 

M 
Exam 1  
W 
3.1 Intro to determinants 3.2 Properties of determinants 
Set 1 (p188): 12, 15 Set 2 (p197): 6ac, 8af, 9af, 10ac, 19, 20, 22 Note: solutions are at end of chapter (p229) 
Wed 3/6 
Th 
Lab #5 Geometry and determinants  
F 
3.3 Determinants and Linear Systems 
Set 3 (p205): 3ab, 5ac, 8ab, 13ab, 15, 23  Fri 3/8 
3/43/8 

M  3.4 Eigenvalues and eigenvectors  Set 4 (p213): 2, 9, 10, 24, 26, 28, 29, 34a  Mon 3/11 
W 
3.5 Google Page Rank General info on Google 
Google handout #5, 7, 8, 9 
Wed 3/13 
Th 
Lab #6 Google  
F 
Finish Google application  
3/113/15 

M 
4.1 General vector spaces  Set 1 (p242): 8, 14, 26ad, 27ad, 30, 36 Note: solutions are at end of chapter (p318) 
Mon 3/25 
W 
4.2 Linear combinations and span  Set 2 (p250): 3a, 8a, 9a, 11ab, 17, 19abc  Wed 3/27 
Th 
Lab #7 Parking lots  
F 
4.3 Linear independence  Set 3 (p256): 4b, 6a, 8a,9ac, 10, 15ab, 17ae  Fri 3/29 
3/163/24 
Spring Recess  
3/253/29  
M 
4.4 Properties of bases  Set 4 (p263): 1a, 6a, 7, 11, 15e, 17de, 19a, 20a, 21d  Mon 4/1 
W 
4.5 Rank  Set 5 (p273): 2abc, 4ac, 8, 10b, 11abc, 16  Fri 4/5 
Th 
Lab #8 GPS  
F 
4.6 Projections  Set 6 (p284): 2ab, 3a, 6e, 9, 10, 13a, 16a  Mon 4/8 
4/14/5 

M 
Review  Proofwriting tips More proofwriting strategies 

W 
Exam 2  
Th 
Lab #9 GramSchmidt  
F 
4.7 Orthogonal complement  Set 7 (p292): 1a, 6, 12  Fri 4/12 
4/84/12 

M 
4.8 Kernel, range, rank/nullity theorem  Set 8 (p302): 4, 7, 13, 14, 15ac, 16bc, 20, 23abc, 29, 32, 36, 39  Mon 4/15 
W 
4.9 Onetoone transformations 4.10 Transformations and linear systems 
Set 9 (p308): 1abc, 2ac, 4ac, 6, 7 Set 10 (p315): 5, 12 
Wed 4/17 
Th 
Lab #10 Pipes Pipes diagram 

F 
5.1 Coordinate vectors  Set 1 (p340): 2, 6, 10, 12, 13, 16, 21, 23, 25, 27, 28 
Fri 4/19 
4/154/19 

M 
5.2 Matrix representations of linear transformations  Set 2 (p348): 6, 11, 13, 14, 16a, 20  Mon 4/22 
W 
More on matrix reps  
Th 
Lab #11 Portfolio analysis 

F 
5.3 Diagonalization  Set 3 (p361): 3ac, 5a, 7a, 9a, 11af, 13a, 16  Fri 3/26 
4/224/26 

*Wed and Thurs schedule reversed this week  
M 
6.1 Inner product spaces  Set 1 (p390): 1, 4, 6, 8a, 9a, 10, 16a, 17a, 18a, 21a, 26ad  Mon 4/29 
W 
Lab #12 Fibonacci sequence in Webster 102  
Th 
6.3 Approximation of functions in Mudd 206  Set 3 (p404): 1, 6  Fri 5/3 
F 
6.4 Least squares  Set 4 (p415): 1, 9, 36, 41ab  Mon 5/6 
4/295/3 

M 
Review  Sample proof and proof problems for practice  
W 
Exam 3  
Th 
Lab #13 Least squares 

F 
7.6 Singular value decomposition  Set 6 (p471): 13, 17, 21, 38 Note: solutions are on p475 
Wed 5/8 
5/65/8 

M 
Finish SVD  
W 
Math Dept final exam webpage (look for Math 21, 22, 271, 272 exams)  
Final Exam: Sat May 18 9amnoon Merrill 2 