## Fall 2008

Instructor: Martha Wallace, Science Center 256
Text: David Lay, Linear Algebra and Its Applications, 3rd ed. or 3rd ed. updated

### Tentative Assignments

 Date Class Topic Homework Assigned: Reading (and notes) due next class: Moodle quiz due by 7 a.m. the day of next class. Written work due: in draft form next class in final form at beginning of the following class 09/03 1.1-1.2: What is Linear Algebra? Systems of Linear Equations Go to the College Network L: Drive to find the powerpoints used today. Look in the Class Materials Folder 1. Homework Assigned: Complete: quiz (below) by 8 a.m. on Friday, Sept. 5. T Read: Course Policies, You are responsible for knowing content. Browse Note to Student and Intro to Ch. 1, Take notes on Sections 1.1-1.2. Write: 1.1: 1, 11, 17-19, 25, 29-31, 33; 1.2: 2, 23,24, 28 Written HW Due: Draft form on 9/05; Final form on 9/08 09/05 1.3: Vector and Matrix Equations 2. Read: Take notes on 1.3, Review 1.2 and complete Moodle Quiz 2 before 8:00 a.m. Monday. Write: 1.2: 7, 14, 25, 27; 1.3: 7, 10, 13, 18, 21, 26, 27. Written HW Due: Draft on 9/08; Final on 9/10

 Date Class Topic Homework Assigned: Reading (and notes) due next class: Moodle quiz due by 8 a.m. the day of next class. Written work due: in draft form next class in final form at beginning of the following class 09/08 1.4: The Matrix Equation Ax = b 1.3: 16, 17, 19, 20 3. Read: Section 1.4 and complete Moodle Quiz 3 before 8:00 a.m. Wednesday. Write: 1.3: 12, 14, 28, 32 1.4: 4, 6, 8, 10, 13-21 odd, 25, 36. Start a list (not to be handed in) of all of the concepts, definitions,and theorems in Sections 1.1-1.4 Written HW Due: 9/12 9/10 1.4: The Matrix Equation Ax = b 1.5: Solutions of Linear Systems 1.4: 27, 29-36 4. Note that most of the homework assigned is not due in draft form until Monday, and will be due in final form on Wednesday next week.  We will be busy in the lab on Friday, so will not have time for homework questions. Read: Skim Intro to Maple sheet before Friday class. Read Section 1.5 and complete Moodle Quiz 4 before 8:00 a.m. Monday. Write: 1.4: 12-22 even, 26, 28, 40, 42, 1.5: 1, 6, 11 Complete Matrix Chart to hand in. Skip the last question on linear independence. Written HW Due: In Draft form on Monday, 9/15.  In Final form on Wednesday, 9/17. 09/12 Maple Lab 5. Read: No new reading. Write: Finish Lab and put in Drop Box on L: Drive Written HW Due: 9/17

 Date Homework Due Today: New Homework Assigned Today: 09/15 Class 6 Section 1.5 1.5: 27 -29, 34, 35 6. Reading Due: Section 1.5 and complete Moodle Quiz 4 before 8:00 a.m. Writing Due: 1.3: 12, 14, 28, 32 1.4: 4, 6, 8, 10, 13-21 odd, 25, 36. Draft HW Due For Class Discussion : 1.4: 12-22 even, 26, 28, 40, 42, 1.5: 1, 6, 11 Matrix Chart to hand in. 6. To Read: Section 1.6. No Moodle quiz this time. To Write: 1.5: 16, 20, 22, 26, 30, 32; Concept Review Sheet: Span (Filling in this sheet gives you a tool for studying for the quiz, as well as points for homework.) Written HW Due: 9/17 draft, 9/19 final 09/17 Class 7 Section 1.6 7. Reading Due: Section 1.6. No Moodle Quiz due. Writing Due: 1.4: 12-22 even, 26, 28, 40, 42, 1.5: 1, 6, 11 Matrix Chart to hand in. Labs 1 and 2 (you can have an extension on this part -- be sure to notify me if you want an extension.) Draft HW Due For Class Discussion : 1.5: 16, 20, 22, 26, 30, 32; Complete Concept Review Sheet: Span 7. To Read: Section 1.7 and complete Moodle Quiz 7 before 8:00 a.m. Friday. To Write: 1.6: 1, 4, 5, 11 and your choice of two problems from 6, 8, 10, 12, and 14 Written HW Due: 9/19 draft, 9/22 final 09/19 Class 8. Section 1.7 Note: 1/2 hour quiz on Monday! Bring Questions about Quiz to class today. 8. Reading Due: Section 1.7 and complete Moodle Quiz 7 before 8:00 a.m. Writing Due: 1.5: 16, 20, 22, 26, 30, 32; Concept Review Sheet: Span Draft HW Due For Class Discussion : 1.6: 1, 4, 5, 11 and your choice of two problems from 6, 8, 10, 12, and 14. 8. To Read: Nothing new. Study for quiz. To Write: 1.7: 14, 30, 35, 39-42; Written HW Due: 9/22 draft, 9/24 final

 Date Homework Due Today: New Homework Assigned Today: 09/22 Section 1.7 Quiz on 1.1-1.6 9. Quiz on 1.1-1.6 Today! Reading Due: Nothing New. Writing Due: Matrix Chart to hand in. Concept Review Sheet: Span 1.6: 1, 4, 5, 11 and your choice of two problems from 6, 8, 10, 12, and 14 Draft HW Due For Class Discussion : , 1.7: 14, 30, 35, 39-42; 9. To Read: Section 1.8. Complete Moodle Quiz 9 before 8:00 a.m. Wednesday. To Write: 1.7: 18, 20, 24, 28, 34, 36; 1.8: 2, 3, 6 Written HW Due: 9/24 draft, 9/26 final 09/24 Section 1.8: Linear Transformations 10. Reading Due: Section 1.8 and Moodle Quiz 9 Writing Due: 1.7: 14, 30, 35, 39-42; Draft HW Due For Class Discussion : 1.7: 18, 20, 24, 28, 34, 36; 1.8: 2, 3, 6 10. To Read: Section 1.9 and complete Moodle Quiz 10 before 8:00 a.m. Friday. To Write: 1.8: 7-9, 12, 17-20 25, 30, 31, 37, 39; Complete Concept Review Sheet for Linear Independence Written HW Due: 9/26 draft, 9/29 final 09/26 1.9: Linear Transformation Matrix Lab 3 11. Reading Due: Section 1.9 and complete Moodle Quiz 10 before 8 a.m.. Writing Due: 1.7: 18, 20, 24, 28, 34, 36; 1.8: 2, 3, 6 See hints in 9/24 box. Draft HW Due For Class Discussion : 1.8: 7-9, 12, 17-20 25, 30, 31, 37, 39; Concept Review Sheet for Linear Independence 11. To Read: Review Sections 1.1-1.9. No Moodle Quiz. To Write: 1.8: 24, 32, 34; Finish Lab 3 (try to finish by 10/01, but will be accepted later if necessary) Bonus: 1.8: 26, 28, 36 (Note: Bonus questions are to be written separately from other homework and marked as Bonus. They are to be attempted only after the regular writing assignment is finished and understood. Written HW Due: 9/29 draft, 10/01 final

 Date Homework Due Today: New Homework Assigned Today: 9/29 1.9: Linear Transformations NOTE: Test I on Friday, Oct. 10 Class 12: Reading Due: Review Sections 1.1-1.9 Writing Due: 1.8: 7-9, 12, 17-20 25, 30, 31, 37, 39 (postponed - not due till 10/01) Concept Review Sheet for Linear Independence Draft HW Due For Class Discussion : 1.8: 24, 32, 34; Finish Lab 3 Class 12: To Read: Section 1.10 and Complete Moodle Quiz -12 before 8:00 a.m. Wednesday. To Write: 1.9: 1, 2, 13-19, 21-22, 25-28; Complete Spotted Owl (Not to be handed in) Bonus (Optional: See rules for bonus problems) Bonus: 1.9: 33, 36 Written HW Due: Draft version due:10/01 Final version due:10/03 10/01 1.10: Applications NOTE: Test I on Friday, Oct. 10 Class 13: Reading Due: Section 1.10 and Moodle Quiz 12 Writing Due: 1.8: 7-9, 12, 17-20 25, 30, 31, 37, 39; 1.8: 24, 32, 34; Lab 3(can be late -notify me if it will not be done by 10/03) Draft HW Due For Class Discussion : 1.9: 1, 2, 13-19, 21-22, 25-28; Spotted Owl Class 13: To Read: Section 2.1 and Complete Moodle Quiz 13 before 8:00 a.m. Friday. To Write: 1.10: 9, 11-13; Ch. 1 Supp: 17-20 Bonus (Optional: See rules for bonus problems) Bonus: 1.10: 2, 4, 6, 8 Written HW Due: Draft version due:10/03 Final version due:10/06 10/03 2.1: Matrix Operations NOTE: Test I on Friday, Oct. 10 Class 14: Reading Due: Section 2.1 and Moodle Quiz 13 Writing Due: 1.9: 1, 2, 13-19, 21-22, 25-28; Draft HW Due For Class Discussion : 1.10: 9, 11-13; Ch. 1 Supp: 17-20 Ch. 1 Supp: 17-20 Class 14: To Read: Section 2.2 and Complete Moodle Quiz 14 before 8:00 a.m. Monday. To Write: 2.1: 2, 4, 7, 8, 10, 11, 17, 27, 39, 40 Bonus (Optional: See rules for bonus problems) Bonus: Sections 2.4 and 2.5 Written HW Due: Draft version due:10/06 Final version due:10/08

 Date Homework Due Today: New Homework Assigned Today: 10/06 Invertible Matrices 15 Reading Due: Section 2.2 and Moodle Quiz 14 Writing Due: 1.10: 9, 11-13;  Ch. 1 Supp: 17-20 Draft HW Due For Class Discussion : 2.1: 2, 4, 7, 8, 10, 11, 17, 27, 39, 40 15 To Read: Section 2.3 and Complete Moodle Quiz 15 before 8:00 a.m. Wednesday. To Write: 2.2: 2, 3, 6, 7, 13, 16, 18, 30, 31, 35 Written HW Due: Draft version due 10/08 Final version due: 10/15 10/08 IMT, Part I Review for Test What's Next After Linear? 16 Reading Due: Section 2.3 and  Moodle Quiz 15 Writing Due: 2.1: 2, 4, 7, 8, 10, 11, 17, 27, 39, 40 Draft HW Due For Class Discussion : 2.2: 2, 3, 6, 7, 13, 16, 18, 30, 31, 35 16 To Read:  Review for Test.  No Moodle Quiz. Review Chapter I for Test.  No Moodle Quiz. To Write: 2.3: 2, 6, 8, 15-19 (cite parts of IMT), 20-24, 27; (Not due in draft form until Friday after break.) Written HW Due: Draft version due: 10/20 Final version due: 10/22 10/09 Optional: Help Session for Test.  SC 184: 11:25-12:25 I will answer your questions on Chapter 1. 10/10 Test I 17 Test I over Chapter 1 -- In Class 17 Assignment: Have a Great Break!

 Date Homework Due Today: New Homework Assigned Today: 10/13 and 10/15 Break! Relax and have some fun Get caught up on sleep 10/17 Intro to Determinants 18. Lab on your own, no class scheduled today. Reading Due: Nothing! Writing Due: Nothing Draft HW Due For Class Discussion : Nothing 18. To Read: Section 3.1 and 3.2 after you have done Lab 3.5.  No Moodle Quiz. To Write: Lab 3.5 in Class Materials on the L: Drive.  Do this on your own schedule, but have it done or nearly done by Monday class. Written HW Due: Draft version due: 10/22 Final version due: 10/24

 Date Homework Due Today: New Homework Assigned Today: 10/20 3.1 and 3.2: Determinants Catch-up 20. Reading Due: Sections 3.1 and 3.2 Writing Due: None in final form, but make sure to that your drafts are very close to final or you will get way behind. Draft HW Due For Class Discussion : 2.2: 2, 3, 6, 13, 16. 18, 30, 31, 35 2.3: 2, 6, 8, 15-19 (cite parts of IMT), 20-24, 27 Lab 3.5 20. To Read: Section 4.1 and Complete Moodle Quiz 20 before 8:00 a.m. Wednesday. To Write: 3.1: 2, 4, 10, 14, 25-32, 41 3.2: 1-4, 15-20, 31, 32, 33, 34, 39, 45(Maple); Written HW Due: Draft version due: 10/22 Final version due:: 10/24 10/22 3.2: Determinants again 4.1 Vector Spaces 21. Reading Due: Section 4.1 and Moodle Quiz 20. Writing Due: 2.2: 2, 3, 6, 13, 16. 18, 30, 31, 35 2.3: 2, 6, 8, 15-19 (cite parts of IMT), 20-24, 27 Lab 3.5 Draft HW Due For Class Discussion : 3.1: 2, 4, 10, 14, 25-32, 41 3.2: 1-4, 15-20, 31, 32, 33, 34, 39, 45(Maple) 21. To Read: Section 4.2 and Complete Moodle Quiz 21 before 8:00 a.m. Friday. To Write: 4.1: 1-6, 8, 9, 12-16, 21, 22, 26, 27; 4.2: 2, 3, 6, Written HW Due: Draft version due: 10/24 Final version due: 10/27 10/24 4.2: Null and Column Spaces 22. Reading Due: Section 4.2 and Moodle Quiz 21 Writing Due: 3.1: 2, 4, 10, 14, 25-32, 41 3.2: 1-4, 15-20, 31, 32, 33, 34, 39, 45(Maple) Draft HW Due For Class Discussion : 4.1: 1-6, 8, 9, 12-16, 21, 22, 26, 27; 4.2: 2, 3, 6, 22. To Read: Section 4.3 and Complete Moodle Quiz 22 before 8:00 a.m. Monday. To Write: 4.2: 4, 5, 8 Subspace Sheet, 1, 2 (see corrected version of questions 1a, 1b, 1c here.) Written HW Due: Draft version due: 10/27 Final version due: 10/29

 Date Homework Due Today: New Homework Assigned Today: 11/03 Dimension Rank 26 Reading Due: Section 4.5 and 4.6 and Moodle Quiz 25 Writing Due: 4.3: 10, 14, 16, 20, 23-25, 29-31, 33 4.4: 3, 7, 10 Subspace Worksheet Part 3 Draft HW Due For Class Discussion : 4.4: 11, 13, 14, 18, 27, 31; 4.5: 3, 7, 11, 12, 14, 26 To Read: Section 4.9 and Complete Moodle Quiz 26 before 8:00 a.m. Wednesday. To Write: 4.5: 26, 27; 4.6: 1, 4, 8, 9, 19-27 odd; Bonus: (Optional: See rules for bonus problems) Bonus: Written HW Due: Draft version due: 11/05 Final version due: 11/07 11/05 Dimension Rank Markov Chains 27 Reading Due: Section 4.9 and Moodle Quiz 26 Writing Due: 4.4: 11, 13, 14, 18, 27, 31; 4.5: 3, 7, 11, 12, 14, Draft HW Due For Class Discussion : 4.5: 26, 27; 4.6: 1, 4, 8, 9, 19-27 odd; 27 To Read: Review Sections 2.1-2.3, 3.1-3.2, 4.1-4.6 and Sample Test II. No Moodle quiz To Write: 4.9: 1, 2, 4, 8, 13, 15 Sections 4.1-4.6: compile outline Written HW Due: Draft version due: 11/07 Final version due: 11/12 11/07 Review for Test 28 Reading Due: Review Sections 2.1-2.3, 3.1-3.2, 4.1-4.6 and Sample Test II. No Moodle quiz due Writing Due: 4.5: 26, 27; 4.6: 1, 4, 8, 9, 19-27 odd; Draft HW Due For Class Discussion : 4.9: 1, 2, 4, 8, 13, 15 28 To Read: None -- just study for Monday test To Write: None -- just study for Monday test Written HW Due: Draft version due: Final version due:

 Date Homework Due Today: New Homework Assigned Today: 11/10 TEST II: 29. TEST II: Through Section 4.6 29. To Read: Read: Intro to Chapter 5 and 5.1.  To Write: Nothing Written HW Due: Draft version due: Final version due: 11/12 Eigenvectors Eigenvalues 30 Reading Due: Intro to Chapter 5 and Section 5.1. No moodle quiz. Writing Due: 4.9: 1, 2, 4, 8, 13, 15  Draft HW Due For Class Discussion : 4.9: 1, 2, 4, 8, 13, 15  2 30 To Read: Section 5.2 and Complete Moodle Quiz 30 before 8:00 a.m. Friday. To Write: 5.1: 2, 6, 10, 12, 20; Eigenvector Maple worksheet in Class Folder on L: Drive Written HW Due: Draft version due: 11/12 Final version due:  11/15 11/14 Characteristic Equation 31 Reading Due: Section 5.2 and Moodle Quiz 30 Writing Due: 4.9: 1, 2, 4, 8, 13, 15  Draft HW Due For Class Discussion : 5.1: 2, 6, 10, 12, 20; Eigenvector Maple worksheet in Class Folder on L: Drive 31 To Read: Section 5.3 and Complete Moodle Quiz 31 before 8:00 a.m. Monday. To Write: 5.1: 23, 25, 31, 32, 38;  5.2: 2, 8, 9, 16; Written HW Due: Draft version due: 11/15 Final version due:  11/17

 Date Homework Due Today: New Homework Assigned Today: 11/17 Review 5.1, 5.2: Eigenvalues, eigenvectors, characteristic polynomials 32. Reading Due: Section 5.3 and Complete Moodle Quiz 31. Writing Due: 5.1: 2, 6, 10, 12, 20; Eigenvector Maple worksheet in Class Folder on L: Drive Draft HW Due For Class Discussion : 5.1: 23, 25, 31, 32, 38;  5.2: 2, 8, 9, 16; 32. To Read: Section 5.4 and Complete Moodle Quiz 32 before 8:00 a.m. Wednesday. To Write: 5.2: 25; 27; 5.3: 2, 4 Eigen-vector applications web search. E-mail wallace one or two sentences describing each of 2 or more applications. Include links to the websites. Written HW Due: Draft version due: 11/19 Final version due:  11/21 11/19 5.3: Diagonalization 33. Reading Due: Section 5.4 and Moodle Quiz 32 Writing Due: 5.1: 23, 25, 31, 32, 38;  5.2: 2, 8, 9, 16; Draft HW Due For Class Discussion : 5.2: 25; 27; 5.3: 2, 4 Eigen-vector applications web search. E-mail wallace one or two sentences describing each of 2 or more applications. Include links to the websites. 33. To Read: Skim Section 5.6. No Moodle quiz, To Write: 5.3: 16, 18, 20, 23, 24, 25, 27;  Lab 6; Written HW Due: Draft version due: 11/21 Final version due:  11/24 11/21 5.4: Eigenvectors and Linear Transformations The Spotted Owl revisited 34 Reading Due: Skim Section 5.6 Writing Due: 5.2: 25; 27; 5.3: 2, 4 Eigen-vector applications web search. E-mail wallace one or two sentences describing each of 2 or more applications. Include links to the websites. Draft HW Due For Class Discussion : 5.3: 16, 18, 20, 23, 24, 25, 27;  Lab 6; 34 To Read: No new reading: Just review To Write: 5.4: first do 11, 13, 15, 32; then go back and do 1,3,5,7,8 Written HW Due: Draft version due: 11/24 Final version due:  11/26

### The rest of this tentative schedule is indeed very tentative at this point, and may not even make sense yet.

 Date Homework Due Today: New Homework Assigned Today: Date Topic Class Reading Due: Read Writing Due: 1 2 Draft HW Due For Class Discussion : 1 2 Class To Read: Section --- and Complete Moodle Quiz --- before 8:00 a.m. Wednesday. To Write: 1 2 Written HW Due: Draft version due: Final version due: Date Topic Class Reading Due: Read Writing Due: 1 2 Draft HW Due For Class Discussion : 1 2 Class To Read: Section -- and Complete Moodle Quiz --- before 8:00 a.m. Friday. To Write: 1 2 Written HW Due: Draft version due: Final version due: Date Topic Class Reading Due: Read Writing Due: 1 2 Draft HW Due For Class Discussion : 1 2 Class To Read: Section --- and Complete Moodle Quiz --- before 8:00 a.m. Monday. To Write: 1 2 Written HW Due: Draft version due: Final version due:

 Date Homework Due Today: New Homework Assigned Today: 11/17 Review 5.1, 5.2: Eigenvalues, eigenvectors, characteristic polynomials 32. Reading Due: Section 5.3 and Complete Moodle Quiz 31. Writing Due: 5.1: 2, 6, 10, 12, 20; Eigenvector Maple worksheet in Class Folder on L: Drive Draft HW Due For Class Discussion : 5.1: 23, 25, 31, 32, 38;  5.2: 2, 8, 9, 16; 32. To Read: Section 5.4 and Complete Moodle Quiz 32 before 8:00 a.m. Wednesday. To Write: 5.2: 25; 27; 5.3: 2, 4 Eigen-vector applications web search. E-mail wallace one or two sentences describing each of 2 or more applications. Include links to the websites. Written HW Due: Draft version due: 11/19 Final version due:  11/21 11/19 5.3: Diagonalization 33. Reading Due: Section 5.4 and Moodle Quiz 32 Writing Due: 5.1: 23, 25, 31, 32, 38;  5.2: 2, 8, 9, 16; Draft HW Due For Class Discussion : 5.2: 25; 27; 5.3: 2, 4 Eigen-vector applications web search. E-mail wallace one or two sentences describing each of 2 or more applications. Include links to the websites. 33. To Read: Skim Section 5.6. No Moodle quiz, To Write: 5.3: 16, 18, 20, 23, 24, 25, 27;  Lab 6; Written HW Due: Draft version due: 11/21 Final version due:  11/24 11/21 5.4: Eigenvectors and Linear Transformations The Spotted Owl revisited 34 Reading Due: Skim Section 5.6 Writing Due: 5.2: 25; 27; 5.3: 2, 4 Eigen-vector applications web search. E-mail wallace one or two sentences describing each of 2 or more applications. Include links to the websites. Draft HW Due For Class Discussion : 5.3: 16, 18, 20, 23, 24, 25, 27;  Lab 6; 34 To Read: No new reading: Just review To Write: 5.4: first do 11, 13, 15, 32; then go back and do 1,3,5,7,8 Written HW Due: Draft version due: 11/24 Final version due:  11/26

 Date Class Topic Homework Assigned: 11/17 Review 5.1, 5.2: Eigenvalues, eigenvectors, characteristic polynomials 28. 28. Read: 5.3 No Moodle quiz Write: 5.2: 25; 27; Eigen-vector applications web search. E-mail wallace one or two sentences describing each of 2 or more applications. Include links to the websites. Written HW Due: 11/19 5.3: Diagonalization 29. Read: 5.4: No Moodle quiz Write: 5.3: 2, 4, 16, 18, 20, 23, 24, 25, 27; Lab 6; Written HW Due 11/21 5.4: Eigenvectors and Linear Transformations The Spotted Owl revisited 30. Read: Skim 5.6: No Moodle quiz Write: 5.4: first do 11, 13, 15, 32; then go back and do 1,3,5,7,8 Written HW Due: 12/05

 Date Class Topic Homework Assigned: 11/24 TEST III Today None! 11/26 Break Thanksgiving None! 11/28 Break Thanksgiving None!

 Date Class Topic Homework Assigned: 12/01 5.6: Discrete Dynamical Systems 6.1: Inner Product, Length, Orthogonality 6.2: Orthogonal Sets 31. Read: None Write: 6.1: 2, 5, 8, 10, 14, 20; 6.2: 10, 11, 13, 18, 20, 22 Written HW Due: 12/07 12/03 6.1: Inner Product, Length, Orthogonality 6.2: Orthogonal Sets 32. Read: None Write: Outline for Test III Written HW Due: Bring to class on 12/07 12/05

 Date Class Topic Homework Assigned: 12/08 Review 12/10 Last Day of Class Review 12/12 Math 220: Final Exam: 2:00-4:00 12/13 Math 220: Final Exam: 2:00-4:00

 Date Homework Due Today: New Homework Assigned Today: Date Topic Class Reading Due: Read Writing Due: 1 2 Draft HW Due For Class Discussion : 1 2 Class To Read: Section --- and Complete Moodle Quiz --- before 8:00 a.m. Wednesday. To Write: 1 2 Written HW Due: Draft version due: Final version due: Date Topic Class Reading Due: Read Writing Due: 1 2 Draft HW Due For Class Discussion : 1 2 Class To Read: Section --- and Complete Moodle Quiz --- before 8:00 a.m. Friday. To Write: 1 2 Written HW Due: Draft version due: Final version due: Date Topic Class Reading Due: Read Writing Due: 1 2 Draft HW Due For Class Discussion : 1 2 Class To Read: Section --- and Complete Moodle Quiz --- before 8:00 a.m. Monday. To Write: 1 2 Written HW Due: Draft version due: Final version due:

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