MAT 275, MODERN DIFFERENTIAL EQUATIONS, Fall 2006


Syllabus

Lectures and Labs:

SLN 95436 TTH 9:15AM - 10:30AM, ED 228 (LAB: Thursday, ECA A221)

SLN 23857 TTH 12:15PM - 1:30PM, ECG G335 (LAB: Thursday, ECA A221)

Instructor: Jinjie Liu
Office Location: PSA 839
Office Phone: 480-727-7575
Office Hours: TTH 3:00pm-4:00pm or by appointment.

TEXTBOOK: "Differential Equations: Computing and Modeling" by C.H.Edwards & D.E.Penney

LAB BOOK:   MATLAB Manual  by Prof. Bruno Welfert

Final Grades have been submitted.

Final Exam Solutions


Grades: (Last update: 12/14)

-- Final Grades for SLN 23857
-- Final Grades for SLN 95436

Homeworks and LAB projects:

-- Assignment 1 (DUE: Tue. Sep. 5, 2006) Solution 1
-- Assignment 2 (DUE: Tue. Sep. 19, 2006) Solution 2
-- LAB Project 1 (DUE: Thu. Sep. 28, 2006)
-- Assignment 3 (DUE: Tue. Oct. 10, 2006) Solution 3
-- LAB Project 2 (DUE: Thu. Oct. 19, 2006)
-- LAB Project 3 (DUE: Thu. Nov. 16, 2006)
-- Assignment 4 (DUE: Tue. Nov. 21, 2006) Solution 4
-- Assignment 5 (DUE: Tue. Nov. 28, 2006) Solution 5
-- FINAL Project (DUE: Tue. Dec. 5, 2006)

NOTES:

FINAL EXAM:
Final Exam Schedule:
SLN95436(9:15-10:30 class) Thu., Dec 7 ,  7:40-9:30 AM, ED 228
SLN23857(12:15-1:30 class) Tue., Dec 12,  12:20-2:10 PM, ECG G335

Students are allowed to bring a piece of paper (cheat sheet) and ONLY a piece of paper. Books and calculators are NOT allowed.

Materials covered:
Sections 3.5, 4.1, 4.2, 5.1, 5.2, 5.4, 7.1, 7.2.
There is no question directly from the sections 1.1~3.4, but the knowledge (see midterm review) in thoese sections may be used.
Midterm Practice Questions with solution Click here.

Final Exam Practice Questions with solutionsClick here.
MORE Practice Questions for material after midterm (on Textbook):

Sec 3.5, Page 207: 1, 2, 16, 17, 21, 26, 32, 37, 41.
Sec 3.5, Page 208: 45, 46, 55, 56.
Sec 4.2, Page 251: 5, 6, 15, 18.
Sec 4.2, Page 262: 6, 7, 14, 15, 17, 19.
Sec 5.1, Page 298: 12, 17, 28, 37.
Sec 5.2, Page 312: 6, 11, 15, 16, 17, 21, 25.
Sec 5.4, Page 341: 1, 4, 8, 11, 15, 23, 24, 25, 26.
Sec 7.1, Page 444: 1, 2, 16, 26, 28, 29.
Sec 7.2, Page 455: 2, 3, 5, 6, 10, 11, 14, 16.

Dec. 05: Grades updated. The TOTAL is currently out of 55. After grading the last project and the final exam, the TOTAL will be out of 100. Please check your score.
Dec. 05: Final review session.
Dec. 02: There is a mistake in Practice Questions, question 3 #2, first equation, it should be -2x instead of 2x. The mistake has been corrected, please download the updated one.
Nov. 28: Final project posted.

Nov. 28: Lecture: Chapter 7 (Laplace Transform). Sections 7.1 and 7.2.
Nov. 21: Homework #5 is posted.
Nov. 21: Lecture (5.4 Multiple Eigenvalue Solutions)
Nov. 21: Homework #4 DUE.
Nov. 16: Homework #4 is DUE next Tuesday Nov. 21.
Nov. 16: Lab Lab 11 Manual and Lab 12 Manual
Nov. 14: For LAB Project 3, question 2, first make sure the euler.m is in the 'current directory'. If the euler does not work on your machine, please try other machines or using impeuler or Runge-Kutta method. Some Computer Labs have different version of Matlab. For example, the Mac machines in computer commons. But the Window's machines in compter commons seem work. Please try other machines or go to ECA LAB. The euler is already a Matlab function in a different version of Matlab.
Nov. 14: Homework #4 is posted.
Nov. 14: Lecture (Section 5.2 Eigenvalue Method)
Nov. 09: Somebody left his/her jacket after LAB in this morning's class(9:15-10:30 section). Please contact me and pick it up. Or I will bring it to you next Tuesday.

Nov. 09: LAB Lab 8 Manual and Lab 9 Manual
Nov. 08: Project 3 is posted.
Nov. 07: Lecture (Section 5.1)
Nov. 02: Midterm Solutions
Nov. 02: LAB Lab 7 Manual
Oct. 31: Lecture (Chapter 4: 4.1, 4.2 System of DEs)
Oct. 29: Midterm Exam grades posted.
Oct. 26: LAB (Nonhomogeneous equations and undetermined coefficeients) PowerPoint
Oct. 24: Midterm Exam in class.
Oct. 19: If anyone submit a HW with title 'Distributed Force system, beam analysis' by mistake, please pick it up in my office.
Oct. 19: Midterm Review: PowerPoint
Oct. 17: Midterm Practice Questions click here and Solutions .
Oct. 17: More Practice Questions (on Textbook):
Page 41: 15, 26.
Page 54: 20, 28.
Page 71: 12, 17, 26.
Page 72: 35, 50, 58.
Page 76: 2, 12, 24, 31~36.
Page 156: 11, 20, 21, 51.
Page 168: 18, 20.
Page 180: 20, 26, 29, 33.
Oct. 17: I have some old Homeworks and Projects in my office, please pick them up.
Oct. 17: This Thursday(Oct.19) will be a review session, we meet in lab.
Oct. 17: Lecture: textbook section 3.3 Homogeneous equations with constant coefficients.
Oct. 12: Project 2 on web: DUE THURSDAY, OCT. 19.
Oct. 12: LAB: Acceleration Model and Runge-Kutta method. A slideshow PowerPoint
Oct. 10: HW 3 DUE. ( The last question in Assignment 3 is a bonus question with extra points)
Oct. 10: Lecture: Higher order equations and Homogeneous equations with constant coeffiecients.
Oct. 05: LAB Topic: Lab 5, 2nd part, other models. Lab 5 Manual and a slideshow PowerPoint and lab5pb5.m
Oct. 03: Grades for Project 1 has been posted.
Oct. 03: HW #3 is posted.
Oct. 03: Lecture: Riview Chapter 1 and study 2nd order DE. (Section 3.1 in textbook)
Sep. 28: Project 1 Due.
Sep. 28: LAB Topic: Lab 5 population model. Lab 5 Manual and a slideshow PowerPoint
Sep. 27: Sample Lab 2 (project 1) question: Click here
Sep. 27: For project 1, please only submit your Matlab code (dirfield.m,euler.m,impeuler.m + the matlab commands you used) together with figures and your answers of few questions. There is a sample above. You don't need to print out the solutions (which is 5000 lines more for question 2).
Sep. 27: Matlab has plenty of colors and line styles you can use to do the plotting: such as 'r'(red),'b'(blue),'k'(black),'y'(yellow),'g'(green),'c'(light blue), 'm'(purple),'.'(dotted line), '--'(dashed line), etc.
Sep. 25: Homework solutions are posted.
Sep. 25: Grades of HW 2 has been posted.
Sep. 21: Project 1 is posted on web. It is DUE next Thursday, Sep. 28.
Sep. 21: LAB Topic: Numerical solution, Euler's Method. Lab 2 Manual and a slideshow PowerPoint.
Sep. 19: Grades are posted. Please follow the above links: "Grades for SLN *****"
Sep. 19: HW#2 DUE.
Sep. 19: Lecture: Exact Differential Equation(in Section 1.6).
Sep. 14: We will meet in LAB (ECA A221) on Thursday Sep. 14. LAB Topic: Lab 1 Manual
Sep. 12: HW#2 is posted on the web. It is due next Tuesday, Sep. 19, 2006. No late Homework allowed.
Sep. 07: LAB (ECA A221): Introduction to Matlab and Solving ODE by Matlab.
Sep. 05: We will meet in LAB (ECA A221) on Thursday Sep. 07.
Sep. 05: HW #1 is due today.
Aug. 29: We will meet in LAB (ECA A221) on Thursday Aug. 31.

Other Information:

-- Midterm exam schedule: Tue. Oct. 24, in class. (No calculator or computer allowed)
-------- Midterm will cover Chapter 1 and Chapter 3.
-------- Detail sections: 1.1,1.2,1.4,1.5,1.6,3.1,3.2,3.3
-- Exams and grads:
-------- Lecture Homeworks (about 5 or 6): ........ 10%
-------- Midterm Exam(Oct. 24 in class): .......... 15%
-------- Final Exam(regular room): ................ 25%
-------- LAB projects(3, 10% each): ............... 30%
-------- Final project (DUE: last day of class): .. 20%

Sep. 18: the Tutor Center will now be closing on Fridays at 2 pm.
The complete new tutor center schedule is below:
8 am - 8 pm Monday through Thursday
8 am - 2 pm Friday
12 noon - 4 pm Saturday and Sunday

ECA (A221 & A225) LAB hours:
Mon.-Th. : 6:30PM - 10:00PM,
Sat. & Sun. : noon - 4:00PM



Useful Resources and Links:

MATLAB: