These two assignments are worth extra points. The problems cover repeated eigenvalues in Section 7.8. These are optional. While 7.8 is not on the Final Exam, these problems require you to find eigenvalues and eigenvectors, so the exercises will help you prepare for the Final.

1. Do book problems from Section 7.8: 1, 2, 3. Due at the Final Exam. I will add up to 18 points to your written homework score for the semester.

2. Do the WeBWorK for Section 7.8. Due at the Final Exam. I will add up to 16 points to your online homework score for the semester.

Also, don’t forget about the Library’s archive of past final exams. I won’t give any extra credit for completing these, but they will be useful guides to study for our final exam.

Due in class on Tuesday, April 29.

For the written homework, you are required to generate phase portraits (aka direction fields) for the systems. See this relevant post for how to generate the phase portraits.

Read Sections 7.5 and 7.6 in the book.

Do the WeBWorK for 7.5 and 7.6.

Complete these written problems:

• Section 7.5 problems 1, 7, 24.
• Section 7.6 problems 1, 7, 11.

Due Tuesday, April 22, in class.

Read Sections 7.3 and 7.4.

Do WeBWorK for Section 7.3.

Complete book problems from

• Section 7.3 problems 1, 3, 7, 16, 22
• Section 7.4 problems 5, 6abc

Due Tuesday, April 15, in class

Read Sections 6.5, 7.1, and 7.2

Do the WeBWorK for Sections 6.5, 7.1, 7.2

Do the written problems:

• Section 6.5 problems 1, 5, 17
• Section 7.1 problems 1, 5, 22
• Section 7.2 problems 1, 22, 25

This is due Thursday, April 10, at 12:30 pm.

Do WeBWork for Section 6.5

This assignment is due Thursday, April 3, in class. Recall the exam is Tuesday, April 1. There will be no quiz that week.

1. Read Sections 6.3 and 6.4.
2. Do WeBWorK for Sections 6.3 and 6.4.
3. Do written problems Section 6.3 #22, 36, Section 6.4 #1, 14.

Due March 25

• Read Sections 6.1, 6.2
• Do WeBWork for Sections 6.1 and 6.2
• Do book problems:
  • Section 6.1 problems 5, 8, 24
  • Section 6.2 problems 11, 21, 24

Due Tuesday, March 18.

• WebWork for Sections 3.7 and 3.8
• Read Sections 3.7 and 3.8
• Book problems
  • Section 3.7 problems 3, 6, 11
  • Section 3.8 problems 5, 6, 10

Note: this assignment is now complete.

Due 4th of March, 2014.

• Read Sections 3.4 – 3.6
• Read especially Section 3.5 example 5
• Do the WeBWorK for Sections 3.4 – 3.6
• Do these written problems:
  • Section 3.4 problems 11, 12, 16. Additional instructions: on 16, state explicitly what this “special” solution is, and discuss its long-term behavior.
  • Section 3.5 problems 5, 16, 19
  • Section 3.6 problems 3, 7, 13

edit: Let me clarify “special” above. The book asks you to find some critical value of \(b\). This value of \(b\) gives you an (one) IVP, and I call this IVP’s solution the “special solution”. So I want this solution, and its limit as \(t\to\infty\) .

This assignment will be due on Thursday, Februaury 20. Note: the first midterm exam is on February 18.

• Read sections 3.2 and 3.3 in the book.
• Complete the WeBWorK for section 3.3
• Complete the written problems:
  • 2, 7 and 24 of Section 3.2, and
  • 1, 7, and 17 of Section 3.3