# Math 274 - Fall 2017 - Final Exam

## Final Exam - Monday 11 Dec - 6-7:50

Instructor | Section | Class time | Final Exam |

Monday 11 Dec 6:00 - 7:50 pm |
|||

Malo | 01 | 8 am | Reid 103 |

Markman | 02 | 11 am | Reid 104 |

Pitman | 03 | 12 pm | Reid 105 |

Pitman | 04 | 1:10 pm | Reid 105 |

Malo | 05 | 9 am | Reid 103 |

Markman | 06 | 10 am | Reid 104 |

Ashland | 07 | 9 am | Reid 108 |

Ashland | 08 | 2:10 pm | Reid 108 |

### The exam is psuedocomprehensive, in particular:

- The exam is written to be similar in length to the Midterm exam.
- Roughly 70% of the exam will be Chapter 9 - Systems of Differential Equations.
- Roughly 20% of the exam will be over Laplace Transforms.
- Roughly 10% of the exam will be over the Phase Plane - Section 5.4
- The following information will be given.

Expectations.

- Laplace Transforms. There will be a problem similar to Example 4 in Section 7.5. #35 and 37 in the Section 7.5 homework are also similar. Of note, each requires solving a first order linear equation as part of the solution. Be sure you review the methods from Section 2.3
- You will be asked to determine eigenvalues and eigenvectors for 2x2 matrices.
- You will be asked to find general solutions and fundamental matrices for homogeneous 2x2 systems.
- You will be asked to find a particular solution and/or a general solution to nonhomogeneous
2x2 systems.
- There is a short Method of Undetermined Coefficients question.
- There is an involved Variation of Parameters question.

- You will be asked to find the solution to an initial value problem.
- Be prepared to sketch and/or identify phase planes.