OFFICE: Math 450 PHONE: (765) 494-1975 EMAIL: eremenko@math.purdue.edu
HW 1 (due August 30, before the class begins) 1.2.4, 1.2.11, 1.3.5, 1.3.22, 1.3.25, 1.4.13, 1.4.21, 1.4.34, 1.5.18, 1.5.19, 1.6.6, 1.6.11.
HW 2: 1.6.14, 2.1.2, 2.1.4, 2.2.4, 2.2.6, 2.3.2, 2.3.8, 2.3.14, 2.3.16. (This HW can be returned on Thursday, September 8, because the web page did not work during the weekend).
HW3: 2.4.4, 2.4.8, 2.4.10, 2.5.2, 2.5.4, 2.6.2, 2.6.8, 2.6.10, 2.6.20, 2.6.45. (Due on Tuesday, Sept. 13, as usual)
HW4: 3.1.2, 3.1.6, 3.1.12, 3.2.4, 3.2.6, 3.2.12, 3.3.4, 3.3.24, 3.4.6, 3.4.10, 3.4.14. (Read section 3.4 for the last three problems).
HW5: 3.4.20, 3.4.22, 3.4.24, 3.4.32, 3.5.4, 3.5.5, 3.5.6, and from Review on p. 198: 3.2, 3.10, 3.12,
HW6: 4.2.2, 4.2.4, 4.2.6, 4.3.2, 4.3.4, 4.3.8, 4.4.4, 4.4.6,
HW7: (due Oct, 25) 5.1.4, 5.1.6, 5.1.10 a-b) 5.1.12, 5.2.2, 5.2.6, 5.3.3, 5.3.5, 5.3.11, 5.4.2, 5.4.5, 5.4.6, 5.4.8.
HW8: (due Nov, 1) 5.4.10, 5.4.11, 5.4.14, 5.4.15, 5.4.19, 5.5.2, 5.5.6, 5.5.12, 5.5.13, 5.5.14.
HW9: 5.6.2, 5.6.14, 5.6.22, Appendix B: B1, B3, B4, B5, B7.
HW10 (due Tue Nov. 22): 6.1.4, 6.1.6, 6.2.2, 6.2.5, 6.2.8, 6.2.10, 6.2.19.
HW11 (due Tue Dec. 6): 6.4.3, 6.4.5, 6.4.7, 6.4.11, 6.5.2, 6.5.4.
These two handouts contain more complicated and important examples from physics: a string with many beads on it, and more detail on rotations of 3-space. This is additional material which could not be covered in the course, but may be very useful for a curious student.
For determinants you may find this handout useful:
pdf.
Problems there ARE NOT assigned as a homework,
but I encourage you to solve them (and will answer any questions on them
you might have).
G. Strang's web page for his course at MIT.
Recommended books for further reading:
F. Gantmacher (a. k. a. Gantmakher) Theory of matrices in 2 vols.
F. Gantmacher (a. k. a. Gantmakher) and M. Krein, Oscillation matrices
and kernels and small vibrations of mechanical systems.
P. Lax, Linear Algebra.
A. Givental, Linear algebra and differential equations.
R. Courant and D. Hilbert, Methods of mathematical physics, vol. 1
G. Dantzig and M. Thapa, Linear programming.