Math 4326, Linear Algebra Syllabus

This page will be updated throughout the semester.

Homework   Resources

Instructor: Marshall Hampton

Office: 172 SCC

Email: mhampton at d.umn.edu (preferred contact method)

Telephone: 726-6329

Office hours: Mon. 1-4, Wed 1-2, Tues. 1-2, or by appointment.

Class homepage: http://www.d.umn.edu/~mhampton/m4326f8.html

Lecture Times: 10:00 - 10:50 A.M., SCC 21, M,W,F.

Prerequisites: Math 3280 and Math 3355.

Student Conduct Code: see the full description at http://www.d.umn.edu/assl/conduct/code/.

Textbook: Linear Algebra and Its Applications, Third Updated Edition, by David Lay. ISBN: 978-0321287137.

Topics: The course catalog description is: "Systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, linear independence, span, basis, coordinates, linear transformations, matrix representations of linear transformations, eigenvalues and eigenvectors, diagonalization, Gram-Schmidt orthogonalization, orthogonal projection and least squares". This corresponds to chapters 1-6 in our text. If time permits we will also cover the SVD (singular value decomposition) and other topics in chapter 7.

Exams: There will be two midterm exams (Oct 17th and Nov 14th) and a final (Dec 17th, 10am-12). A sheet of notes is allowed on each exam. .

Practice midterm 1 exam Practice midterm 1 solutions .

Practice midterm 2 exam; practice midterm 2 solutions .

Practice final exam, Practice final solutions .

Grading: The homework assignments will be weighted equally, with the lowest score dropped. Grades will be assigned on a curve. The approximate weighting is homework: 20%, worksheets/in-class: 5%, midterms: 20%, final: 35%. If you do exceptionally well in some areas, these may be weighted more.

Homework:

Assignment 1 (due M 9/8):
1.1: 8, 16, 28, 33, 34.
1.2: 4, 14, 30, 32, 34.
Assignment 2 (due M 9/15):
1.3: 24, 30.
1.4: 21.
1.5: 16, 38.
1.6: 1, 5.
1.7: 2, 22, 34.
1.8: 16, 24.
Assignment 3 (due M 9/22):
1.9: 8, 24.
1.10: 4.
Chapter 1 Supplementary problems: 10, 24.
2.1: 12, 28.
2.2: 2, 31, 34.
Assignment 4 (due M 9/29):
1.10: 6, 12.
2.3: 6, 20, 36, 44. For 44, you should use floating point computations - if using mathematica, this means you need use the N function or enter things numerically (for example, 1/7.0 instead of 1/7).
2.4: 15, 22.
2.5: 25.
2.7: 9,10,11.
2.8: 2,12.
Assignment 5 (due M 10/6):
2.8: 29.
2.9: 2, 6, 18.
3.1: 14, 22, 38.
3.2: 6, 28, 34, 35.
Assignment 6 (due M 10/13):
3.3: 6, 30.
4.1: 6, 20b, 26, 32.
4.2: 26, 32, 34.
4.3: 32, 34.
4.4: 12.
Assignment 7 (due M 10/27):
4.5: 4, 22, 26.
4.6: 18, 24, 32.
4.7: 6, 12.
5.1: 2, 19, 26, 32.
Assignment 8 (due M 11/3):
5.2: 2, 12, 22.
5.3: 3, 18, 22.
5.4: 2, 6, 20, 28.
5.5: 8, 10, 14.
Assignment 9 (due M 11/10):
5.7: 4, 6, 12.
5.8: 2, 12, 20.
Chapter 5 Supplementary Problems (Not optional, from pages 370 - 372): 2, 19, 22.
Assignment 10 (due W 11/26):
6.1: 20, 28.
6.2: 10, 24, 34.
6.3: 4, 8, 22, 24.
6.4: 2.
Assignment 11 (due W 12/3):
6.4: 20.
6.5: 2,10,16,20,22.
6.6: 10.
Assignment 12 (due F 12/12):
6.7: 8, 26.
6.8: 10.
7.1: 18, 26.
7.2: 22.
7.4: 8, 12, 18, 21.

Resources:
Symmetric matrix worksheet

SVD example

MIT OpenCourseWare: linear algebra. Excellent lecture videos, interactive applets, and much more.

This is a free linear algebra textbook by Jim Hefferon that may be helpful.

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Disabilities: An individual who has a disability, either permanent or temporary, which might affect his/her ability to perform in this class should contact the instructor as soon as possible so that he can adapt methods, materials and/or tests as needed to provide for equitable participation.