| Math
571 Linear Algebra for Applications Autumn 2006 |
| Course Materials | Assignments | Lecture Schedule | Exam Dates | Carmen |
Course Information
| Instructor: Office: Phone: Email: |
Angela
Barnhill MW 536 292-5251 abarnhill at math dot ohio-state dot edu |
| Final Exam Week Office Hours: |
Friday, December 1: 1 - 2:30 pm Monday, December 4: 9 - 10 am and 3 - 4 pm Tuesday, December 5: 10 am - noon and 2 - 3 pm Wednesday, December 6: 3 - 5 pm Or by appointment |
| Office
Hours: (Until Dec. 1) |
Mondays 11:30 am - 1:00 pm Tuesdays 10:30 am - noon Or by appointment |
Lectures: Mondays, Wednesdays, and Fridays in EA 295 at 9:30 am (Section 12928) and 10:30 am (Section 12929)
| Texts: | Linear Algebra with Applications by Steven Leon, 7th edition |
| Linear Algebra Labs with MATLAB by David Hill and David Zitarelli, 3rd edition |
Supplementary Material: MATLAB Tutorial Linear Space Outline
Important Dates:
- Midterm 1: Friday, October 13th (in class)
- Midterm 2: Wednesday, November 8 (in class)
- Cumulative Final Exam:
- 9:30 Section - Wednesday, December 6, 7:30 am - 9:18 am
- 10:30 Section - Thursday, December 7, 7:30 am - 9:18 am
Examinations will not be rescheduled because of travel arrangements -- it is your responsibility to schedule travel appropriately.
Grading:
| Homework: Midterms: Final Exam: |
20% 20% each 40% |
Remark on written work: You are encouraged to discuss the course material with other students. However, anything that you turn in must be your own work. Work must be neat and legible in order to be graded.
Course Materials
Note: Some course materials will be posted in PDF format. If you do not already have the capability to view such documents, then in order to open these files, you will need to install Adobe Acrobat Reader (a free program).
Carmen (Check your grades, see posted solutions, view course announcements, etc.)
Syllabus
MATLAB Tutorial
Midterm 1 Information
Linear Space Outline
Midterm 2 Information
Final Exam Information
Homework Assignments
- Homework assignments are due at the beginning of class on the given due date. Late homework will not be accepted.
- You must always show your work to receive credit.
- Even though you do not have to turn in all the problems, please make sure you are able to do all of them.
- Sections are from the Leon text, unless otherwise noted. (HZ denotes Hill and Zitarelli and MT denotes MATLAB Tutorial.)
- Problems from HZ require the use of MATLAB.
- You must submit a printout of your MATLAB code for problems involving MATLAB.
| # | Due Date | Read | Problems | Problems to be turned in |
| 1 | Wed. 9/27 | §1.1-1.3 |
§1.1: 1c, 3, 4, 5, 6(b, d, e, h), 9, 10 §1.2: 1, 2, 5(a, b, c, e, f, h, i), 6(c, d), 8, 9, 10, 15 §1.3: 1, 2, 4, 5c, 6c, 7, 8(b, c), 10, 15, 16, 20, 22, 23, 24, 25 |
§1.1: 5c, 6h, 10 §1.2: 5i, 6c, 10 §1.3: 1g, 7b, 16, 23 |
| 2 | Wed. 10/4 | MT 1.1-1.6 MT 2.1-2.6 HZ 1.1-1.2 HZ 3.1-3.3 |
HZ 1.1: 1-4 HZ 1.2: 1-6 HZ 3.1: 1-6 (Ignore matdat1. You will need to input A,B,C,D,x.) HZ 3.2: 1-4 HZ 3.3: 1, 2 Leon 1.2: 13 (use MATLAB!), 14 |
HZ 1.1: 3 HZ 1.2: 3 HZ 3.1: 2, 5 HZ 3.2: 2, 4 Leon 1.2: 13 |
| 3 | Wed. 10/11 | § 1.4 | Part 1: Handout Part 2: §1.4: 1, 3, 5, 6, 7, 13 |
Part 1: Handout: 1, 5, 7 Part 2: §1.4: 5, 7 |
| 4 | Fri. 10/20 | § 1.4 HZ Project 1 |
§ 1.4: 8, 9, 10(b, c, e, f, g), 11, 12(b,c), 18, 22 § 1.3: 32, 33 HZ Project 1: Exercises 2, 5, 7 Handout |
§ 1.4: 8d, 10f, 12b, 18 § 1.3: 32 HZ Project 1: 2 Handout: 1 |
| 5 | Fri. 10/27 | LS Outline 1.1 § 3.1 & 3.2 § 2.1 & 2.2 |
§ 3.1: 6, 8, 10 § 3.2: 1, 2, 4, 5, 6, 17, 19, 20 § 2.1: 1, 3(a, d, g), 4, 5, 6 |
§ 3.1: 10 § 3.2: (Explain your answers!) 1c, 2d, 4b, 6(d,e), 19 § 2.1: 1, 3g, 5 |
| 6 | Fri. 11/3 (by 4:30 pm) |
§ 2.2 § 3.2 § 3.3 HZ 6.1 HZ 6.2 HZ 6.3 |
§ 2.2: 1, 2, 3, 4, 6, 9, 10, 14 § 3.2: 9, 10, 11, 12, 14 § 3.3: 1, 2, 5, 6, 7(a,b), 8, 10, 13, 16 HZ 6.1: Exercises 1, 2, 3, 8 HZ 6.2: 4, 7, 8, 9 HZ 6.3: 1(a-e), 2, 3 |
§ 2.2: 3f, 4, 14 § 3.2: 10c, 11 § 3.3: 6c, 8, 10 HZ 6.1: 3 HZ 6.2: 4 HZ 6.3: 1c |
| 7 | Wed. 11/15 |
§ 3.4 § 3.5 HZ 7.2 |
§ 3.4: 2, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15 § 3.5: 4 HZ 7.2: 1, 2, 3, 4, 5 |
§ 3.4: 4, 7, 10, 13, 14c, 15 § 3.5: 4 HZ 7.2: 2, 3 |
| 8 | Wed. 11/22 |
§ 3.5 § 3.6 |
§ 3.5: 3, 5, 6, 8, 9, 10 § 3.6: 1, 2, 4, 5, 6, 7, 8, 10, 11, 14 |
§ 3.5: 5, 8, 10 § 3.6: 1b, 2c, 7, 11, 14 |
| 9 | Wed. 11/29** | § 7.4 LS Outline 2.1-2.3 LS Outline 3.1 |
§ 5.4: 13, 14, 15, 16, 19, 21, 22, 26, 28 § 7.4: 1, 2, 3, 7, 9, 10, 13, 21, 22, 23, 25, 28, 29, 30, 31 Handout |
§ 5.4: 14, 16, 26, 28 § 7.4: 1d, 3, 10, 25, 28, 29, 30, 31 Handout: 1c, 3 |
| 10 | N/A | § 5.1 § 5.2 § 5.3 § 5.4 |
§ 5.1: 3, 5, 7, 9, 11, 12, 13, 16 § 5.2: 1, 2, 3, 4, 7, 8, 9, 12, 13 § 5.3: 1, 2, 3, 4, 10, 13 § 5.4: 6, 7, 8b |
Not to be turned in |
**Assignment 9 will be accepted in class on Friday, December 1, but it is STRONGLY recommended that you turn it in on Wednesday, November 29.
Tentative Lecture Schedule
(subject to change)
| Date | Topics (corresponding sections of text) |
| Wed. 9/20 | systems of linear equations, augmented matrices, elementary row operations (1.1, 1.2) |
| Fri. 9/22 | (reduced) row echelon form, matrix algebra (1.2, 1.3) |
| Mon. 9/25 | finish 1.3, introduction to MATLAB (MATLAB Tutorial) |
| Wed. 9/27 | more with MATLAB |
| Fri. 9/29 | more with MATLAB, applications |
| Mon. 10/2 | more applications |
| Wed. 10/4 | finish Markov chains, start elementary matrices (1.4) |
| Fri. 10/6 | row equivalence, equivalent conditions for nonsingularity (1.4) |
| Mon. 10/9 | computing inverses using row reduction (1.4) |
| Wed. 10/11 | Q&A session for Midterm 1 (Midterm 1 Information) |
| Fri. 10/13 | Midterm 1 |
| Mon. 10/16 | LU Decompositions (1.4), graph theory |
| Wed. 10/18 | vector spaces and subspaces (3.1, 3.2, Linear Space Outline 1.1) |
| Fri. 10/20 | vector spaces and subspaces continued (3.1, 3.2, Linear Space Outline 1.1) |
| Mon. 10/23 | vector spaces and subspaces continued (3.1, 3.2, Linear Space Outline 1.1) |
| Wed. 10/25 | determinants (2.1, 2.2) |
| Fri. 10/27 | span (3.2) |
| Mon. 10/30 | linear independence (3.3) |
| Wed. 11/1 | basis and dimension (3.4) |
| Fri. 11/3 | change of basis (3.5) |
| Mon. 11/5 | Q&A session for Midterm 2 (Midterm 2 Information) |
| Wed. 11/7 | Midterm 2 |
| Fri. 11/9 | University Holiday |
| Mon. 11/13 | transition matrices (3.5), row and column space (3.6) |
| Wed. 11/15 | more with row and column space (3.6) |
| Fri. 11/17 | accuracy of MATLAB calculations, norms, and condition numbers (Leon 7.4, Linear Space Outline 2.1-2.3, MATLAB Tutorial 5.2, 7) |
| Mon. 11/20 | more on accuracy of MATLAB calculations, norms, and condition numbers (Leon 7.4, Linear Space Outline 2.1-2.3, MATLAB Tutorial 5.2, 7) |
| Wed. 11/22 | condition numbers (Leon 7.4, Linear Space Outline 2.3, MATLAB Tutorial 7) |
| Fri. 11/24 | University Holiday |
| Mon. 11/27 | inner products and orthogonal subspaces (5.1, 5.2, 5.4) |
| Wed. 11/29 | projections and least squares (5.1, 5.3) |
| Fri. 12/1 | "fundamental subspaces", examples of orthogonal subspaces and least squares (5.2, 5.3) |