Instructor: Joseph Zielinski
Office: Wean Hall 7101
Office hours: TBD
Class times: MWF 3:30pm-4:20pm
Class location: Baker Hall 235B
A mathematically rigorous treatment of Linear Algebra over an arbitrary field. Topics studied will include abstract vector spaces, linear transformations, determinants, eigenvalues, eigenvectors, inner products, invariant subspaces, canonical forms, the spectral theorem and the singular value decomposition.
Linear Algebra Done Right, Third Edition by Sheldon Axler.
There will be homework assignments most weeks. When taken together, they account for 20% of the total grade. Assignments should be written up in LaTeX. There will also be two midterm exams, each worth 20%, and a final exam worth 40%.
Homework 1 - Due 1/31: 1.B: 1,2,6; 1.C: 4,11,15,24; 2.A: 10,11,15.
Homework 2 - Due 2/7: 2.B: 5,6,7,8; 2.C: 1,12,14,15.
Homework 3 - Due 2/14: 3.A: 11,12,13; 3.B: 2,5,6,20,28; 3.D: 2,7.
Homework 4 - Due 2/21: 3.C: 3,6; 3.D: 10,18; 3.E: 1,8,13,14; 3.F: 3,4,10.
Homework 5 - Due 3/7: 3.F: 34,35; 5.A: 2,3,5,14,25; 5.B: 13,19; 5.C: 6,9.
Homework 6 - Due 3/21: 5.B: 10,11,12; 5.C: 10,16; 6.A: 1,3.
Homework 7 - Due 4/6: 6.A: 19,20,21,29; 6.B: 5,10,11,17; 6.C: 1,6,7,9,10,14.
Homework 8 - Due 4/18: 7.A: 2,3,7,18,20; 7.B: 4,6,7,8,14; 7.C: 4,8.
There were two midterms. The first midterm was administered in class on 2/28. The second was due April 11.
Students are encouraged to work with one another on the homework problems, and are free to consult other textbooks to further their understanding of the material. However, the work that is submitted for credit must be completed by the student alone, in their own words. For any exams given in take-home format, the material may not be discussed with anyone and no references other than the primary course textbook may be consulted.
I ask that you turn off your mobile devices and close your laptops during class.
It is unlikely that I will accept a late assignment or allow a missed exam to be made up. Exceptions may be made for serious circumstances with ample forewarning, or for severe circumstances.
This syllabus is subject to change. Please consult this webpage regularly for the most current version.