M274 - Final Exam - Spring 2018
The exam is psuedocomprehensive, in particular:
- The exam is written to be similar in length to the previous examse.
- Roughly 60% of the exam will be Chapter 9 - Systems of Differential Equations.
- Roughly 20% of the exam will be over the Phase Plane - Section 5.4
- Roughly 20% of the exam will be over Second Order Equations - Sections 4.2, 4.3, 4.9.
- Roughly 10% of the exam will be over Separable Equations - Section 2.2
- Roughly 10% of the exam falls into multiple categories.
- The following information will be given.
Expectations.
- 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 Variation of Parameters question.
- You will be asked to find the solutions to initial value problems.
- Be prepared to sketch and/or identify phase planes. Additionally, understand nullclines and equilibrium solutions.