MTH 520--2nd Course in Linear Algebra (Abstract Linear Algebra)--Homework Assignments

Exams:

• Exam I: Friday, March 19, 11:30 AM - 12:20 PM remote, two-device proctored completed
• Exam II: Friday, April 23, 11:30 AM - 12:20 PM remote, two-device proctored completed
• Final Exam: Monday, May 10, 2021, 11:45 AM - 2:45 PM remote, two-device proctored

Office Hours: TR 5:00 - 5:50 via Zoom and by appointment

Textbook: 

• Linear Algebra (2nd Edition) by Kenneth M Hoffman and Ray Kunze
• Out of print but available on the internet

Note: problems in brackets [ ] are to be done, but not turned in.

Final Exam

• When: Monday, May 10, 2021 at 11:45 AM - 2:45 PM zoom proctored, details will be forthcoming
• Covers: Sections 1.1 - 3.7, 5.1 - 5.6 (as covered in class), 6.2 - 6.4, 6.6 - 6.8
• including the corresponding material on the lecture slides/notes
• including the homework
• you may need some results from Chapter 4
  
• Format:
• 8 to 10 problems/definitions/proofs/statement of theorems
• proofs from the book or lecture, or pieces of proofs, may well be on the exam
• No alphanumeric/programmable/graphing calculators allowed
• UB ID card must be shown to gain admittance to exam
• Notes: None
• Internet resources: None are allowed--not to solve problems, to do problems, or to check solutions
• Collaboration: None. This is to be your own, individual work
• Exam time: available at 11:45 AM on Monday, May 10
• Due in Gradescope: 02:55 PM on Monday, May 10
• Submit in black or blue ink handwritten only on WHITE PAPER
  
• Be sure to match each problem in Gradescope to the page in your work where the problem can be found
  
• E.g., if problem 3 is on page 4, indicate this to Gradescope

Week of May 3:

• Read: Sections: 6.1 - 6.5
• [Assignment 14: do but don't turn in]
• Not due in Gradescope
• Section 6.7: 1, 2, 4, 5
• Section 6.8: 1, 2, 3, 5

Coming Attractions (very tentative list of upcoming assignments):

• TBA

Week of February 1:

• Read: Sections: 1.1 - 1.5
• Assignment 1:
• Section 1.2:  1 - 4, 6, 7
• Additional Problems 1, 2
• Due Monday, February 8 in Gradescope by 11:59 PM
• problems listed for an assignment are to be posted to Gradescope 
• Solutions must be typed in  LaTeX
• LaTeX resources: UBLearns>Course Documents
• Lengthy computations may be handwritten (e.g. row reducing a matrix)
• or exported from a CAS such as Mathematica

Week of February 8:

• Read: Sections: 1.6 - 2.2
• Assignment 2:
• Due Monday, February 15 in Gradescope by 11:59 PM
• Section 1.3:  3, 5, 7
• Section 1.5:  3, 4, 8 (a hard problem--try to find an elegant solution)

Week of February 15:

• Read: Sections: 2.3
• Assignment 3:
• Due Monday, February 22 in Gradescope by 11:59 PM
• Section 1.4: 1, 4, 8, 10 a hard problem
• Section 1.6: 1, 5 - 7, 10, [11]. Look at 12 (extremely hard problem)
• Section 2.1: 4, 6, 7

Week of February 23:

• Read: Sections: 2.4 - 2.6
• Assignment 4:
• Due Monday, March 1 in Gradescope by 11:59 PM
• Section 2.2: [1 - 2],  3, 5, 7,  9
• Section 2.3:  [1],  4, 9 - 11, 13, 14 (a harder, but still doable problem)
• Note: Problem 13 references Exercise 5 in Section 1.2, not 1.1

Week of March 1:

• Read: Sections: 3.1 - 3.4
• Assignment 5:
• Due Monday, March 8 in Gradescope by 11:59 PM
• Section 2.4: 2, 6
• Section 2.6: 1, [2], 3, 5
• For Problem 1:  Theorem 4 is on p 44

Week of March 8:

• Read: Sections: 3.1 - 3.5
• Assignment 6:
• Due Monday, March 15 in Gradescope by 11:59 PM
• Section 3.1: 4, 5, 8, 10, 12, [13]
• Section 3.2: 3 - 6, 8, 10, 11

Week of March 15:

• Read: Sections: 3.1 - 3.5
• Assignment 7:
• Due Monday, March 22 in Gradescope by 11:59 PM
• Section 3.3: 2, 3, 5, 7

Week of March 22:

• Read: Sections: 3.6 - 3.7
• Assignment 8:
• Due Monday, March 29 in Gradescope by 11:59 PM
• Section 3.4: 2, 5, 10, 12
• Section 3.5: 1 - 5
• For problem 2, the answer should be in terms of the standard ordered basis for the dual space
• where the standard ordered basis for the dual space is the dual basis to the standard ordered basis for C^3.
• Alternatively, the book thinks of C^3 as row vectors, so the dual basis should be actual column vectors
• that give \delta_{ij}, the Kronecker delta, when applied to the given basis.

Week of March 29:

• Read: Sections: 4.1, 4.2, 4.4 (we've already done 4.3)
• Assignment 9:
• Due Monday, April 5 in Gradescope by 11:59 PM
• Section 3.5: 6 - 9, 11, 12
• 11b is hard
• Section 3.6: 1, 3

Week of April 5:

• Read: Sections: 5.1 - 5.4
• Assignment 10:
• Due Monday, April 12 in Gradescope by 11:59 PM
• Section 3.7: 2 - 5, 8
• Section 4.2: 6 - 8
• Section 4.4: 1, 3  

Week of April 12:

• Read: Sections: 6.1 - 6.5
• Assignment 11:
• Due Monday, April 19 in Gradescope by 11:59 PM
• Section 5.4: 3, 5, 8
• Section 6.2: 5, 8, 9, 13

Week of April 19:

• Read: Sections: 6.1 - 6.5
• Assignment 12:
• Due Tuesday, April 27 in Gradescope by 11:59 PM
• Section 6.3: 3 - 7, 9

Week of April 26:

• Read: Sections: 6.1 - 6.5
• Assignment 13:
• Due Tuesday, May 3 in Gradescope by 11:59 PM
• Section 6.4: [1], 3, 5, 8, 10
• Section 6.6: 1, 2

Exam I

• When: Friday, March 19 at 11:30 AM - 12:20 PM zoom proctored, details will be forthcoming
• Covers: Sections 1.1 -  3.2
• including the corresponding material on the lecture slides/notes
• Format:
• 4 or 5 problems/definitions/proofs/statement of theorems
• proofs from the book or lecture, or pieces of proofs, may well be on the exam
• No alphanumeric/programmable/graphing calculators allowed
• UB ID card must be shown to gain admittance to exam
• Notes: None
• Internet resources: None are allowed--not to solve problems, to do problems, or to check solutions
• Collaboration: None. This is to be your own, individual work
• Exam time: available at 11:30 AM on Friday, March 19
• Due in Gradescope: 12:30 PM on Friday, March 19
• Submit in black or blue ink handwritten only
  
• Be sure to match each problem in Gradescope to the page in your work where the problem can be found
  
• E.g., if problem 3 is on page 4, indicate this to Gradescope

Exam II

• When: Friday, April 23 at 11:30 AM - 12:20 PM zoom proctored, details will be forthcoming
• Covers: Sections 3.3 - 3.7, 5.1 - 5.6 (as covered in class), 6.2
• including the corresponding material on the lecture slides/notes
• including the homework
  
• Format:
• 4 or 5 problems/definitions/proofs/statement of theorems
• proofs from the book or lecture, or pieces of proofs, may well be on the exam
• No alphanumeric/programmable/graphing calculators allowed
• UB ID card must be shown to gain admittance to exam
• Notes: None
• Internet resources: None are allowed--not to solve problems, to do problems, or to check solutions
• Collaboration: None. This is to be your own, individual work
• Exam time: available at 11:30 AM on Friday, April 23
• Due in Gradescope: 12:30 PM on Friday, April 23
• Submit in black or blue ink handwritten only
  
• Be sure to match each problem in Gradescope to the page in your work where the problem can be found
  
• E.g., if problem 3 is on page 4, indicate this to Gradescope