Nov 1-5
Math 253 Weekly Schedule
Text: Introduction to Linear Algebra
3rd edition, G. Strang.
[ Math 253 Home | Course Syllabus ]
Week Dates Reading Assignment Homework Assignment HW Due Date Exam Date
1 Aug 31 - Sept 3 Sections 1.1, 1.2, 2.1
vectors, linear combinations, dot products, linear equations
Assignment 1
1.1   1, 2, 3, 18, 19, 28
1.2   1, 2, 4, 6b, 8, 11, 13, 20, 29
Thursday
Sept 9
No Exam
2 Sept 6 - 10 Sections 2.1, 2.2, 2.3
linear equations, elimination, elimination using matrices
Assignment 2
2.1   10, 11, 18, 22, 27
2.2   1, 2, 5, 11, 19
2.3   1, 2, 3, 7, 8
Also write up the solutions to the two problems that you didn't do in Group Exam 1
Thursday
Sept 16
Group
Exam 1
Friday
Sept 10
3 Sept 13 - 17 Sections 2.4, 2.5, 2.6
matrix mult, inverse matrix, elimination=LU factorization
Assignment 3
2.3   27
2.4   14, 26
2.5   1, 2, 3, 6, 7, 9, 25
2.6   12, 18
2.7   4
Also write up the solutions to the two problems that you didn't do in Group Exam 2
Thursday
Sept 23
Group
Exam 2
Monday
Sept 20
4 Sept 20 - 24 Sections 2.7, 3.1, 3.2
transposes and permutations, vector spaces, null space
Assignment 4
2.7   5, 7, 16, 19
3.1   1, 2, 8, 10, 18, 20, 22, 24, 28
3.2   1, 2
Also write up the solutions to the two problems that you didn't do in Group Exam 3
Thursday
Sept 30
Group
Exam3
Monday
Sept 27
5 Sept 27 -
Oct 1
Sections 3.2, 3.3, 3.4
null space, rank of a matrix, solving Ax=b
Assignment 5
3.2   4, 5, 8, 9, 13, 14, 15, 18,
        19, 26, 27, 30
3.3   7, 10, 15, 17, 18, 19
Friday
Oct 8
MIDTERM
EXAM 1
Monday
Oct 4
6 Oct 4 - 8 Sections 3.5, 3.6
Independence, Basis, Dimension, & the Four Subspaces
Assignment 6
3.4   1, 4, 6, 11,13, 16, 17, 24
3.5   2, 5, 9, 10, 13, 21, 27, 29
Thursday
Oct 14
7 Oct 11-15 Sections 3.6, 4.1, 4.2
The Four Subspaces, Orthogonality, Projections
Assignment 7
3.6   2, 4, 11, 13, 20
4.1   3, 4, 11, 17, 19, 21, 28
4.2   1, 2
Also write up the solutions to the two problems that you didn't do in Group Exam 4
Thursday
Oct 21
Group
Exam 4
Friday
Oct 15
8 & 9 Oct 18-29 Sections 4.2, 4.3, 4.4
Projections, Least Squares Approximations
Assignment 8
Group Exam 5
Group Exam 5, solutions
Friday
Oct 29
Group
Exam 5
Friday
Oct 29
10 Sections 4.4, 5.1, 5.2
Orthonormal Bases, Gram-Schmidt, Determinants
Assignment 9
Group Exam 6
Group Exam 6, solutions
Friday
Nov 5
Group
Exam 6
Friday
Nov 5
11 Nov 8-12 Sections 6.1, 6.2
Eigenvalues and Eigenvectors, Diagonalization
Assignment 10 Friday
Nov 12
MIDTERM
EXAM 2
Solutions
[1], [2], [3], [4],
12 Nov 15-19 Sections 6.2, 6.4, 8.3
Diagonalization, Diagonalization and Symmetric Matricies, Markov Matricies
Assignment 11
6.1   12, 20, 22, 27
6.2   1, 3, 4, 7, 10, 15, 16, 19, 24
Friday
Nov 19
Group
Exam 7
Tuesday
Nov 23
13 Nov 22-24 Sections 6.3
Applications to Differential Equations
Assignment 12 Friday
Dec 3
Group
Exam 8
t.b.a.
14 Nov 28-Dec 3 Sections 7.1, 7.2, 7.3
Linear Transformations, Coordinates, Change of Coordinates Matrix, Quadratic Forms
Assignment 13 Friday
Dec 10
or at final exam
Group
Exam 8
t.b.a.
15 Dec 6-10 Sections 6.7 and notes
Constrained Optimization, Singular Value Decomposition
FINAL EXAM
Tues, Dec 14
2-5PM

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