You will NEED to have your student ID with you, or your exam will NOT be accepted.

Office: Lind Hall 357 (207 Church St SE)

Office Hours: MF 3:30-4:30 and by appointment

Phone: (612) 626-1062

Email: kurzke@ima.umn.edu

Javier Zuniga

Solutions to practice midterm 3

Due date | Assignment |

9/20 | 1.2: 3, 6, 26, 30. 1.3: 12, 16, 18, 32, 39, 40, 53. |

9/27 | 1.4: 8, 12. 1.5: 2, 4, 23. 2.1: 8, 10. 2.2: 2, 4, 6, 14, 20. |

10/4 | 2.2: 25, 26, 30, 34. 2.3: 2, 7, 14, 26. 2.4: 4, 8, 18, 19. |

10/11 | 2.5: 15, 21, 24. 2.6: 2, 11, 14. 3.1: 4, 5, 31, 34, 40. |

10/18 | 3.1: 44, 51. 3.2: 30, 32, 35. 3.3: 7, 11, 14, 18, 24, 25. |

10/25 | 3.4: 4, 11, 30, 32, 34. 3.5: 14, 16, 20, 44, 46. 3.6: 2, 16, 20, 28, 44. |

11/1 | 4.1: 4, 14, 28, 36. 4.2: 16, 30, 38, 60. 4.3: 16, 24, 26, 31, 32, 36. 4.4: 22, 28, 36, 40. |

11/8 | 4.5: 4, 12, 16, 22. 4.6: 2, 8, 19, 32, 40, 44. |

11/15 | 5.1: 10, 14, 34, 40, 62. 5.2: 6, 12, 34, 50. 5.3: 6, 18, 22, 26, 34, 46. |

11/22 | 5.4: 8, 14, 20, 32, 40, 44. 6.1: 5, 7, 18, 34. |

11/29 | 6.2: 16, 22, 28, 40. 6.3: 14, 16, 30, 33. 6.4: 4, 10, 15, 16. |

12/8 | 6.5: 14, 20, 22. 7.1: 15, 23, 29, 37. 7.2: 4, 8, 12, 18, 22. |

The course is divided into two somewhat related parts.

**Linear algebra:** matrices and matrix operations,
Gaussian elimination, matrix inverses, determinants, vector spaces and
subspaces, dependence, Wronskian, dimension, eigenvalues, eigenvectors,
diagonalization.
**ODE:** Separable and first-order linear equations with
applications, 2nd order linear equations with constant coefficients,
method of undetermined coefficients, simple harmonic motion,
2x2 and 3x3 systems of linear ODE's with constant coefficients,
solution by eigenvalue/eigenvectors, nonhomogenous linear systems,
phase plane analysis of 2x2 nonlinear systems near equilibria.

**Prerequisites:** C- in Math 1272 or 1372.

**Text:** Farlow, Hall, McDill, West: *Differential equations
and Linear Algebra.* Prentice-Hall 2002.

For an errata list, see here.

4 credits. 3 lectures, 2 recitations per week.

**Grading and exams:**

The final grade will be based on a total of 700 points, distributed as follows:

- Homeworks and recitation session quizzes: 100 points
- Three one-hour midterm exams: 100 points each
- Final exam: 300 points

The midterms will be during the recitation sessions on the following Thursdays:
**October 6, November 3 and December 1**.

The final exam will be on **Thursday, December 15**.

**All students must have their official University I.D. Card with
them at the time of the final exam and must show it to one of the proctors
when handing in their exam. The proctor will NOT accept a final exam from a
student without an I.D. Card.**

**Closed-book exams:**
Books or notes will not be allowed during any of the exams.

**Homework policy:** During the recitation sessions, homework will
be assigned. Your TA will ask you to submit some part of the assigned
homework and grade it, as well as conduct quizzes. You will be
expected to present your arguments in a clear and organized manner,
NOT just hand in some
calculations whose connection to the question is unclear.

**Calculator policy:** Scientific calculators will be allowed
during the exams, but will not be necessary. Graphing calculators
or calculators that can perform symbolic algebra will not be permitted.

**Makeup exam policy:** Makeup exams will be possible only with a
rigorous emergency reason. If you know in advance that you have to
miss an exam, **notify me** as soon as you can. Absence
from exams without a valid reason will result in 0 points for that exam,
with no makeup exam possible.

**Drop Dates:** You may drop this course without permission
before the eighth week of the semester (October 31). Starting
November 1, permission will be needed to drop the course.

If you drop before the end of the second week, the course will not
appear on your transcript. Afterwards, you will receive a ``W''.

**Student Conduct:** Statement on Scholastic Conduct: Each student
should read the college bulletin for the definitions and possible
penalties for scholastic dishonesty. Students suspected of
cheating will be reported to the Scholastic Conduct Committee.

Dates | Sections covered |

9/6-9/9 | 1.1-1.2 |

9/12-9/16 | 1.3-1.5 |

9/19-9/23 | 2.1-2.3 |

9/26-9/30 | 2.4-2.6 |

10/3-10/7 | 3.1-3.2 |

10/6 | Midterm exam covering Chapters 1-2 |

10/10-10/14 | 3.3-3.5 |

10/17-10/21 | 3.6, 4.1-4.2 |

10/24-10/28 | 4.3-4.5 |

10/31-11/4 | 4.6, 5.1 |

11/3 | Midterm exam covering Chapters 3-4 |

11/7-11/11 | 5.2-5.3 |

11/14-11/18 | 5.4, 6.1-6.2 |

11/21-11/23 | 6.3-6.4 |

11/28-12/2 | 6.5, 7.1 |

12/1 | Midterm exam covering Chapters 5-6 |

12/5-12/9 | 7.2, 8.1-8.2 |

12/12-12/14 | 8.2 & Review |

12/15 | Comprehensive Final Exam |

Section | Suggested homework |

1.1 | 23-27 |

1.2 | 2, 3, 6, 7, 13-18, 20, 23, 24, 26, 29, 30 |

1.3 | 12, 13, 16-26, 29, 31, 32, 39, 40, 43-47, 53, 54 |

1.4 | 1, 7-10, 12 |

1.5 | 2-4, 7-12, 21, 23 |

2.1 | 7-12 |

2.2 | 1-6, 9-15, 19, 20, 25, 26, 30-35, 45, 46 |

2.3 | 1-5, 7, 14, 16, 17, 21, 24, 26 |

2.4 | 2, 4, 7, 8, 11-13, 17-19 |

2.5 | 13-18, 21-24 |

2.6 | 1-3, 5-7, 11, 14-17, 23 |

3.1 | 4, 5, 31-34, 40, 42, 44-46, 51, 54, 61 |

3.2 | 5-10, 29-33, 35 |

3.3 | 7-10, 14, 17, 18, 24, 25 |

3.4 | 1, 4-7, 11, 12, 16-18, 20, 23, 29-32, 34-36 |

3.5 | 2, 4-6, 8, 9, 12-14, 16-20, 22, 23, 25, 26, 34, 36-38, 43-51, 56 |

3.6 | 1, 2, 5-8, 11-14, 16-18, 20-22, 26-32, 38, 39, 42-45, 47-50, 54-58, 64, 65 |

4.1 | 4-6, 8-10, 14-16, 21, 22, 25-28, 31-39, 49, 52 |

4.2 | 16-24, 28-30, 35, 38-41, 43, 47, 55, 56, 59-62 |

4.3 | 13, 15-28, 34-36, 41, 42 |

4.4 | 4-6, 22-33, 36, 39, 40 |

4.5 | 4-13, 15-17, 20, 22, 23 |

4.6 | 1, 2, 8-13, 17-20, 32, 33, 40, 41, 44 |

5.1 | 6-10, 13-15, 17-29, 33, 34, 37-43, 47, 59, 61-63, 65-67, 70-73, 78-80 |

5.2 | 2, 3, 6, 7, 10-14, 23, 30, 34, 35, 38, 39, 44-47, 50-52, 55-61 |

5.3 | 6-9, 15, 18, 20, 22, 24, 26-29, 31, 33-36, 39-41, 45-47 |

5.4 | 1-3, 7-9, 13-15, 20-23, 27-33, 39-41, 43-44 |

6.1 | 3, 5, 7, 9, 17-19, 23-26, 33-35 |

6.2 | 15-23, 28, 31, 39, 40, 43 |

6.3 | 14-17, 23-27, 30, 33 |

6.4 | 3-5, 9-11, 15, 16 |

6.5 | 1-12, 14, 15, 17 |

7.1 | 11, 13, 15, 17, 19, 21, 23, 27-33, 35, 37 |

7.2 | 1-9, 11-18, 20-23 |

8.1 | 3, 5, 11, 13, 15-17, 24, 25 |

8.2 | 3-9, 12-15, 18, 19 |