OFFICE HOURS: Math 600 Tuesday 3:00-4:00 + by appointment PHONE: (765) 494-1975 EMAIL: eremenko@math.purdue.edu

Notice: We use FOURTH edition of Strang's text Linear Algebra and its applicatons. The Homework is assigned from the 4-th edition. It must be available in the University bookstore, and there is a copy on reserve in the MATH library on the 3-d floor of the Math building.

HW 1 (due August 29, before the class begins) 1.2.5, 1.2.11, 1.2.13, 1.3.1, 1.3.4, 1.3.5, 1.4.1, 1.4.14, 1.4.17, 1.4.19.

HW 2: (due September 5) 1.5.4, 1.5.11, 1.5.14, 1.5.15, 1.6.6, 1.6.10, 1.6.11, 2.1.2, 2.1.7, 2.2.3, 2.2.6.

HW 3 (due September 12): 2.3.2, 2.3.7, 2.3.10, 2.3.13, 2.3.20, 2.4.3, 2.4.18, 2.4.20, 2.6.1, 2.6.6, 2.6.8, 2.6.9, 2.6.16.

HW 4 (due September 19): 2.6.18, 2.6.19, 2.6.21, 3.1.2, 3.1.6, 3.1.9, 3.1.16, 3.2.3, 3.2.5, 3.2.8, 3.2.9, 3.2.10.

HW 5 (due September 26): 3.3.4, 3.3.6, 3.3.12, 3.3.18, 3.4.6, 3.4.13, 3.4.14, 3.4.20, 3.4.21, 3.4.28.

Midterm exam is on Thursday, October 5, in class. It is an exam with closed books, no notes or calculators are allowed. Covers chapters 1,2,3, except 1.7, 2.5, 3.5. The problems in the exam will be similar to those in HW and in Review sections at the end of each chapter. Some problems are with full credit, and others yes/no or multiple choice type. There will be a review on October 3.

HW 6 (due October 3) is in the handout here, all exercises WITHOUT star(*): pdf. In addition to this handout you may read "Complex numbers and their conjugates" on p. 281-282, and from "Complex roots of Unity" to "Fast Fourier transform" on p. 189-193. This material is not covered by the midterm exam.

Here you can see
pictures
of an
analog Fourier synthesizer, a high-precision instrument, used
to compute Fourier coefficients and to sum a Fourier series in pre-computer
era (until the middle of XX century).

And here is a short biography
of Cornelius Lanczos who invented
the Fast Fourier transform while working at Purdue University.

HW 7 (due Oct. 24): 4.2.3, 4.2.4, 4.2.5, 4.2.17, 4.3.7, 4.3.8, 4.3.12, 4.3.13, 4.4.3, 4.4.13, 4.4.14, 4.4.24.

You may find this handout: Determinants useful (There are no problems in it, it is just a condensed exposition of the topic).

HW 8 (due Oct. 31): 5.1.1, 5.1.5, 5.1.7, 5.1.14, 5.1.18, 5.2.1, 5.2.2, 5.2.5, 5.2.6, 5.2.9, 5.2.10, 5.2.15.

Additional topics: Spectral theorems for Hermitian and unitary matrices (required reading), 25 billion dollars eigenvector (optional reading).

HW 9 (due Nov. 7): 5.3.4, 5.3.6, 5.3.9, 5.4.1, 5.4.8, 5.4.9, 5.4.14, 5.4.15, 5.5.7, 5.5.12, 5.5.17, 5.5.20.

HW 10 (due Nov. 14): 5.6.2, 5.6.14, 5.6.15, 5.6.16 (a) 5.6.23, 5.6.24, 5.6.28, 5.6.30, 5.6.31,

HW 11 (due Nov. 21) 6.1.2, 6.1.7, 6.1.13. 6.2.1, 6.2.7, 6.2.10, 6.2.12, 6.2.15.

HW 12 (due Nov. 28, last one): 6.3.5, 6.3.2, 6.3.11, 6.3.12, 6.4.1, 6.4.5, 6.4.7, 6.4.11 (Read p. 339-341 for 6.4.1).