Department of Mathematics

Linear Algebra - Summer 2012

  • Course Webpage
    • This syllabus is tentative and should not be considered definitive. The instructor reserves the right to modify it to meet the needs of the class. It is the student's responsibility to attend class regularly and to make note of any changes. Make sure you check the class website for sections covered on the exams, HW problems and announcements.
    • Course Description: Linear Algebra With Applications. Real and complex vector spaces; linear transformations; Gram-Schmidt process and projections; least squares; QR and LU factorization; diagonalization, real and complex spectral theorem; Schur triangular form; Jordan canonical form; quadratic forms.
    • Textbook: Linear Algebra and its Applications, fourth edition, by Gilbert Strang
    • Course Grade: Your couse grade will be determined using the following distributions: homework 100 pts; two midterms 200 pts; final exam 200 pts.
    • Scores will be posted on Blackboard.
    • Tentative Schedule

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  • Course Evaluation

  • Exam Information
    • There will be two midterms and a MULTIPLE CHOICE final exam. The dates and sections covered will be posted here.
    • Midterm 1 is (tentatively) scheduled for Friday 29 June covering 1.2, 1.3, 1.4, 1.5, 1.6, 2.1, 2.2, 2.3, 2.4, 2.6, 3.1, 3.2.
    • Midterm 2 is (tentatively) scheduled for Friday 20 July covering 3.3 (skip weighted least squares), 3.4, 3.5 (properties of complex numbers), 4.2, 4.3, 4.4 (skip section 3 and 4), 5.1, 5.2, 5.4 (skip second order equations).
    • Final exam is scheduled for Wednesday 1 August in WTHR 200 from 10:20 am -- 12:20 pm. Final exam review here. Please skip 15, 23, and 25.

  • How Google Finds Your Needle in the Web's Haystack

  • Biography of Cornelius Lanczos who invented the Fast Fourier Transform while at Purdue.

  • Contrast between null space and column space of a matrix.

  • Flow graph for the Fast Fourier Transform with n=8.

  • Jordan Canonical Form Examples

  • Homework
    • There will also be problems to turn in at the beginning of class on due dates below. No late homework will be accepted.

Due Date

Assignment

Comments

not due

6.1: 2, 3, 4, 12
6.2: 2, 8, 14, 15

Fri 27 Jul

HW 9:
5.5: 2, 6, 17, 19, 20, 21
5.6: 1, 14, 22, 24
Appendix B: 1, 3

HW up to 5.6 but we will still cover 6.1 and 6.2.

Fri 20 Jul

HW 8:
5.2: 5, 7, 12, 14
5.4: 1, 2, 5, 6, 8, 9

Tue 17 Jul

HW 7:
4.3: 3, 7, 11, 14, 18
4.4: 2, 13, 18
5.1: 4, 5, 10, 14

Fri 13 Jul

HW 6:
3.5: 5, 6, 8, 9, 11
4.2: 1, 4, 7, 10, 14

I replaced 4.2#11 with 4.2#14

Tues 10 Jul

HW 5:
3.3: 3, 4, 5, 12
3.4: 6, 9, 11, 13, 21, 22, 23, 24

Fri 29 Jun

HW 4:
2.6: 1, 8, 18, 22
3.1: 1, 6, 11, 12
3.2: 3, 5, 12, 16

Tue 26 Jun

HW 3:
2.3: 1, 8, 16, 28, 29
2.4: 3, 20, 32, 37
2.5: 1, 2, 3

Wed 20 Jun

HW 2:
1.5: 4, 5, 15
1.6: 4, 6, 13
2.1: 2, 9, 20
2.2: 2, 7, 13

Fri 15 Jun

HW 1:
1.2: 3, 4, 11
1.3: 8, 11, 12
1.4: 5, 10, 13, 20

Have a great summer!