MATH251_SP2010_exam_1_guide

MATH251_SP2010_exam_1_guide - Theorem structure of the...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 251 SPRING SEMESTER 2010 Exam I study guide Exam Date/Time : Thursday, February 25, 6:30 to 7:45 pm Format : 100 points in 14 questions (9 x multiple-choice, and 5 x partial- credit / short-answer) Location : 108 Forum (sections 4, 5, 8, 9); 105 Forum (sections 3, 7, 10, 11); 111 Forum (sections 1, 2, 6) Topics to study 1. Classification of differential equations 2. First order linear equations 3. Separable equations 4. Existence and Uniqueness Theorems (of 1st and 2nd order linear equations only) 5. Solution-mixing and air-resistance problems 6. Autonomous equations: equilibrium solutions, stability classification (including semistable equilibrium solutions) 7. Exact equations: verification of; and solving them 8. Second order homogeneous linear equations with constant coefficients 9. Linear independence, Fundamental solutions, Wronskian; Abel’s
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Theorem, structure of the general solution of a second order linear equation 10. Reduction of order 11. Nonhomogeneous equations: method of Undetermined Coefficients 12. Mechanical vibrations: damped and undamped free vibrations, damping classification, natural frequency/period, quasi-frequency/period, undamped forced vibration and resonance 13. Higher order homogeneous linear equations with constant coefficients Comments : Students should know basic integration techniques; partial differentiation and integration; the three types of equilibrium solutions; over-, under-, and critical damping; solving linear homogeneous equations using the characteristic equation; and the general long-term behavior of different types of solutions....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern