Math 254-Sample Exam Exam # 1 Partial credit is possible, but you must show all work. Name:
I hereby testify that this is individual work. Signed:
Question Points Total 1 20 2 20 3 20 4 20 5 20 Total 100
2
The following topics are covered by Exam
Section 4.2 (then 4.1) 2nd order DFQ with constant coecients
Feb 24, 2009
Characteristic Method
Todays Session
Section 4.2, contd A Summary of This Session: (0) Yet another example of variation of parameters (1) Solving constant coecient homogene
Section 4.2 (then 4.1) 2nd order DFQ with constant coecients
Feb 19, 2009
Characteristic Method
Todays Session
Next Time: Section 4.1 (Motivation/Particular Case of 4.2) A Summary of This Session: (1) Solving constant coecient homogeneous DFQs (1
Section 4.1 The Mass Spring Oscillator
March 3, 2009
The Mass Spring Oscillator
Todays Session
Section 4.1: A mechanical application of the general theory of second order DFQs There is a parallel (meaning same equation, but a dierent interpretati
Section 4.3; Section 4.4 2nd order DFQ with constant coecients, complex roots
March 5, 2009
Characteristic Eqn with Complex Roots
Todays Session
A Summary of This Session: (1) Solve for complex roots (2) Characteristic equation with complex roots
Section 4.4 Method of Undetermined Coecients
March 10, 2009
Method of Undetermined Coecients
Todays Session
Todays oce hours: 4-6 PM (Brenae is about to deliver! and we wish her well). A useful website: http:/www.quickmath.com/ A Summary of This
Section 4.4, contd Method of Undetermined Coecients
March 12, 2009
Method of Undetermined Coecients
Todays Session
A useful website: http:/www.quickmath.com/ A Summary of This Session: (1) Method of undetermined coecients, general rules (2) More
Section 4.5 Superposition Principle; Method of Undetermined Coecients
March 23, 2009
Superposition Principle
Todays Session
Lecture 14 with the corrected equation has been updated online Clicker points (out of 23 points) have been updated on D2L.
Section 6.3 Annihilator Method
March 25, 2009
Annihilator Method
Todays Session
Exam 2 is April 2 (Next Thursday) It covers 4.1-4.5, 6.3 A sample exam is now online For clicker points and disputes regarding them, please come to oce hours next week
Section 6.3 Annihilator Method, Review for Exam II
March 31, 2009
Annihilator Method
Todays Session
For the exam on Thursday, do not sit between/next to the two people you have been sitting during class hours. If you have a cap, you must either t
Section 3.4 Newtonian Mechanics
Feb 12, 2009
Newtonian Mechanics
Reminders
A Summary of This Session: (1) Newtonian Models (Mechanics)
Newtonian Mechanics
Newtonian Mechanics
What is Mechanics? It is the study of motion of objects under the eec
Sections 3.4 Contd, and 3.5
Feb 17, 2009
Newtonian Mechanics/Electrical Circuits
Reminders
Bring your clickers this Thursday. A Summary of This Session: (1) Problem 25, p. 124; (2) RL and RC Circuits.
Newtonian Mechanics/Electrical Circuits
Pro
Review for Exam 2 Math 254
The second exam will cover the material from sections 4.1-4.5, and 6.3. That is how to solve homogeneous and inhomogeneous linear constant coecient dierential equations. The inhomogeneous equations are those that can be sol
Introduction to the course; sections 1.1 and 1.2
Jan 15, 2008
Welcome Math 254Spring 2009
Course Materials
All course materials are available through D2L. Visit http:/d2l.arizona.edu Use your NetID for username and regular password (as when you ch
Chapter 1: sec. 1.1, 1.2 contd,1.3
Jan 20, 2008
Lecture 02
Today
If you have not done so, visit http:/d2l.arizona.edu Use your NetID for username and regular password (as when you check your email.arizona.edu account). Your NetID is the key to ev
Section 1.2, 1.3, contd, Sec 2.2-2.3
Jan 22, 2009
Lecture 03
Today
For quick access to the syllabus and links to software we are using visit http:/math.arizona.edu/hermi/spring09/ To integrate, if you do not have an integral table, visit http:/in
Section 2.3 contd
Jan 27, 2008
Lecture 04
Announcements
Bring your clickers on Thurs Jan 29. We will start using them. Do not forget to register these clickers by midnight, tonight (so far, 30 more people to go). WebAssign 1 is due this coming Th
Section 2.4: Exact Equations
Jan 29, 2008
Lecture 05
Brief Vector Calc.
What is the meaning of something like F (x, y ) = C . 1. This is an implicit equation for y in terms of x. 2. This is a family of curves parametrized by C . 3. I can graph it
Section 2.4, Contd
Feb 3, 2009
Exact Equations
Announcements
WebAssign Assignment 2 is now online. The quiz this week will cover the integrating factor method
Exact Equations
Todays session: Exact equations
Solve dx = 0 Answer: x = C . The solu
Section 2.5
Feb 5, 2009
Exact Equations: Special Integrating Factors
Reminders
WebAssign 2 is online. Please start working on it. I will be available by email and through WebAssign next week if you have any questions about the homework. Remember,
Sections 3.2 and 3.3 Population Modeling and Newtons Law of Cooling
Feb 10, 2009
Population Modeling and Newtons Law of Cooling
Announcements
A Summary of This Session: (1) Modeling population growth, exponential (Malthusian) and logistic models;
Math 254 Review Test
There will be a 30 minute Review Test at the start of class on Tuesday Jan 27th, worth 50 points. The reason we have this review test is to make sure that you are all fully up to speed on the prerequisite material. Success in thi