M22:034 Engineering Math IV: Differential Equations

Fall Semester - 2007



General Information

  Instructor: Dr. Diego Moreira
 
  Office: B1G MHL

  Class: MWF 11:30 - 12:20PM - 221MHL

  Office Hours: MWF - 10:30 - 11:20 or by appointment

  Book: Elementary Differential Equations and Boundary Value Problems, Eighth edition, John Wiley & Sons.
 
  Authors: William E. Boyce & Richard C. DiPrima
  
  Syllabus

 News


 Notes about existence and uniqueness for solutions to first order ODEs - Picard's Theorem

11/12 - Change HW due Dates: HW will be assigned on Mondays and collected on Mondays.

 Homework Assignments

 HW #1 -- Section 2.1 - Ex: 4,12,13,14,30,31,32,33,41,42        (Due 09/05)

 HW#2 - Section 2.2 - Ex: 1,4,7,17,22, 29 and 32,34,36,38       (Due 09/14 - Friday)

               (Remark: For 32,34,36,38 you do not need to do item c))

HW#3 -   Section 2.4 - Ex: 23,24,25,28,32                       (Due 09/21)
               Section 2.6 - Ex: 5,8,10,22,23,25,28

HW#4 (review for 1st midterm)

 HW#5 - Section 3.2 - Ex: 13,14,15,17,18,19                   (Due 10/12)
              Section 3.3 - Ex: 11, 12, 13, 25
              Extra problems : Extra-HW5

HW#6 - Section 3.1 - Ex: 18, 21, 24                                (Due 10/19)
             Section 3.4 - Ex: 11, 14, 27, 32
             Section 3.5 - Ex: 7,10,18,20,24,38,39.

HW #7 - Section 3.6 - Ex: 13,16,17,27,31,32                   (Due 10/26)
              Section 3.7 - Ex: 1,4,7,13,15,21,30,31

HW #8 - Section 6.1 - Ex: 5,6,22,24,26                           (Due 11/12)
              Section 6.2 - Ex: 14,15,16,18,20,23,24,25,28 

HW#9- Section 6.3 - Ex:14,15,16,17,19,21,23                  (Due 11/19)
            Section 6.4 - Ex: 1,2,5,6,7,9

HW#10 - Review list for 3rd Midterm                               (Due  12/3)

             Section 6.2 - Ex: 1,2,3,4,11,12,13
             Section 6.3 - Ex: 13,14,15,16
             Section 6.4 - Ex: 3,11
             Section 6.6 - Ex: 8,13,14,17
 
Students should review HW#8, HW#9, HW#10 for the 3rd Midterm on 11/30.

 HW #11 - Section 7.4 - Ex: 1,4,5,6,7                                         No need to turn in - Keep it to study
                 Section 7.5 - Ex: 9,10,11,14,15,16,17,18

Review Problems for the Final Exam - NO NEED TO TURN IN - JUST STUDY

Last set of problems about systems

Section 7.6 - Ex: 1,2,3,4,8,9
Section 7.8 - Ex: 1,2,3,4,8,9

Problems from other sections - 1st order equations, 2nd order equations, Laplace transform

Section 2.1) 39, 40, 41, 42 (Do the exercises by intergration factor techinique and variation of parameters method)
Section 2.2) 1,6,8,30
Section 2.4) 28,29,30,31
Section 2.7) 9, 12, 15, 16
Section 3.2) 22,23,24
Section 3.3) 21,24,27
Section 3.5) 38,39
Section 3.6) 14,16,17,18
Section 3.7) 2,3,7,12
Section 6.1) 3,6
Section 6.4) 3,14,11
Section 6.5) 11,12,13.

Remark: The  list of problems above by no means exhausts sample problems students may find in the exam. They are just a guide for  study.
              The final exam will be a comprehensive exam, so it will cover all the material seen during the semester.
               Students should be prepared to solve  the type of problems that were used in previous HW, midterms, and discussed in class.