Preparation for Final Exam

 

 

               

PART I: (Chapter 6 & Chapter 8 & sec2.1)

 

sec 6.2 1- Review all definitions and theorems

             2- Review Frobenius Theorem

             2- Study and solve odds (1-9) p.257

             3- Study and solve 13,14 p.257

             4- study and solve 15,17,19,23,25,26,27,31,32

             5- study and solve Q5 from tem 982  (Do all items except 10)

             6- Study all HW problems (solutions are avilable)

 

sec 8.1 1- Review all definitions and theorems and bold words

             2- Study and solve 5,17,26

             3- Study all HW problems (solutions are avilable)

 

 

sec 8.2  1- Study and solve 3,5,7,9,11,13,21,23,25,27,29

                                             33,37,39,41,45

              2- study the first method mentioned in the remark p349-350

              3- use this method in item 2 to transform the following systems

                  into a first order system.

                    

  (a)
  (b)
  (c)

                4- solve the DE:  y''' - y' = t   by two methods:

                       * first: use sec. 4.3 and 4.5 to find y(t)

                       * second: transform the DE into a system of first-order

                          then use chapter#8 to solve the system and then find y(t)

                       * compare your answers.

             5- Study all HW problems (solutions are available)

 

 

sec 8.3  1- Study and solve 11,13,15,19,21,23,27,29,31

             2- Study all HW problems (solutions are available)

 

                                    

sec 2.1  1- Study and solve 1,3,5,7,9

             2- Study all HW problems (solutions are avilable)

 

 

 

 

                               PART II:

 

1- Study all quizzes (Q1-Q5). There will be a problem in the final similar to Quiz-1

2- Study your Exam-I and Exam-II and Exam-III (note that all solutions are available)

3- Study all my old exams term-982  (Exam-I , Exam-II , Final)

4- Study all my old exams term-052  (Exam1 , Sol_Exam1 , Sol_Exam2, Final Exam, Final Exam Solutions )