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)

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 )