1 / 10

Exam 2 Review

Exam 2 Review. Review. The final exam will be comprehensive. It will cover material in the text book from Chapters 1 – 6. It will also cover material not in the text book that was provided to you in the lecture notes. Please see the Exam 1 review for what to expect from chapters 1 -- 6.2

jontae
Download Presentation

Exam 2 Review

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Exam 2 Review

  2. Review • The final exam will be comprehensive. • It will cover material in the text book from Chapters 1 – 6. • It will also cover material not in the text book that was provided to you in the lecture notes. • Please see the Exam 1 review for what to expect from chapters 1 -- 6.2 • All of that information still applies

  3. Review – Discrete Models • Exam 1 • Covered some mathematical and graphical aspects of discrete equations (problem 1) • Exam 2 • Will likely cover modeling aspects of discrete equations • Model development, analysis, and interpretation

  4. Review – Continuous Models • Exam 1 • Covered some model analysis and interpretation for single-species continuous equations (problem 2 - Harvesting) • Exam 2 • This is also fair game for Exam 2 • Instead of leading you through the mathematics, I may ask you a biological question and you will need to decide what mathematics to do to answer that question

  5. Review – Continuous Models • Exam 1 • Covered the analysis of a system of two equations (problem 3) • Exam 2 • This is also fair game for Exam 2 • Some items that were not on Exam 1 that will very likely be included on Exam 2 are: • Nondimensionalization • Produce a phase portrait – by hand • Produce a bifurcation diagram

  6. Review – Continuous Models • Exam 1 • No model development • Exam 2 • This is fair game for Exam 2 • From the description of a biological problem, you should be able to derive a system of equations to model it • We’ve had several group modeling sessions to practice this skill

  7. Review Continuous Models • Exam 1 • No computational component • Exam 2 • This is fair game for Exam 2 • Be comfortable writing MATLAB code that solves single ODEs as well as systems of two or more equations • NO pplane

  8. Review – Specifics • Chapter 6: 6.1 – 6.4 and 6.6 • Interacting Species • Predator-Prey (Lab 5, Ch 6.2) • Competition (Chapter 6.3 Assigned Reading) • Multiple Species Models • Lecture notes and chapter 6.4 • SIR Models (Ch 6.6 and lecture notes) • Be able to recognize, develop, analyze and interpret the results from these types of models

  9. Review - Specifics • Multispecies Model Analysis • Jacobian Matrix of Partial Derivatives • Characteristic Polynomial • Stability Criteria • Routh-Hurwitz Criteria – Chapter 6.4 page 234

  10. Review – Specifics • SIR Models • Model development • Model reduction • Conditions for an epidemic • Properties of an epidemic • Severity • How many get infected • etc

More Related