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.