MATHEMATICAL SCIENCES

ODE(92:234(201,001) Jan 23rd  -June 30th 2012

 

 

 

Instructor Rida Mirie                                                                 Office:   Olney Hall  416c

Phone:         (978) 934-2443                                               E-mail   Rida_mirie@uml.edu

Office Hours:   .  9:00-:9:50  and  5-6pm  MWR

                                                     And by appointment

 


 SEE CourseSMART.com

Text; Zill . Seventh edition (or if available previous editions) Ordinary differential equations with BVP.  Brooks/Cole ISBN2008024835.

(Academic.cengagae.com).

 

The course will be captured on

Http://echo360.uml.edu/rmirie2011/diffequationsSpring.html

>=3Exams       50          %

Hw              20              %

Final             30             %


1 calculator (keep a spare battery) + 1 sheet are allowed in exams, and final. .
No makeup.          Attendance is required . Coverage rate  will vary. (You are responsible for the material covered ).

 

 

. Calendar items

The first day of class is Monday, January 23.

The last day of class is Monday, May 7.

The last day to administer quizzes or exams prior to the final exam is Monday, April 30.

There are no classes on the following days:
Monday, February 20, for Presidents Day
Monday, March 12, through Friday, March 16, for spring break.
Monday, April 16, for Patriots Day
Friday, April 27, for University Day

There are no days on which we follow a different day's class schedule.

The undergraduate and graduate academic calendars are available at
http://www.uml.edu/registrar/calendars/academic_calendar.html 

 

 

 

 

 

Plan for the material covered.

.

 

HW From the text:

Page    Section          Topics                                                   Problems

 10      1.1                  Introduction                                         (1-17) odd, 21,23,30,31,32

 50      2.2                   Separable                                          (1-21) odd

 60      2.3                   Linear                                               (1-11) odd, 18,21

   Test #1

 69      2.4                   Exact.                                                (1-11) Odd, 14,27,28

 75      2.5                   Substitution                                      (1-21) odd

Test #2.                                        

 129    4.1                    Homogeneous and particular solutions        1,3,5,23,25,27,29

 132    4.2                    Reduction of Order                                  (1-17) odd, 20,23      

 161    4.6                    Variation of parameters                 (1-15) odd

 172    4.7                    Cauchy-Euler Equation                      (1-31) odd 

Test  #3.

 138    4.3                    higher orders                                               (1-25) odd, 36.

 148    4.4                    Undetermined superposition                (1-21) odd

 156    4.5                    Undetermined Annihilator                   (1-21) odd

Test #4

177    4.9                     Nonlinear Differential equations*            1,3,5,7,9

 

          7.1

Definition of Laplace Transform

          7.2

Inverse Transform and Derivatives

          7.3.1

Translation on the s-Axis

          7.3.2

 

Translation on the t-Axis

 

          7.4

Additional Operational Properties

 

 

 

The sixth edition syllabus is to follow:

 

Section

Topic

 

Homework Assignment

 

 

1.1

Definition and terminology

 

1-13odd

 

 

1.2

Initial Value Problem

 

1,3-5,7-11119odd, 21-25

 

 

1.3

Diff Eons as Mathematical Models

 

1,5,7,9,15,17

 

 

2.1

Solution Curves without solution

 

1,3,5,7,15-25odd

 

 

2.2

Separable Variables

 

1--29odd

 

 

2.3

Linear Equations

 

1-29odd

 

 

2.4

Exact equations

 

1-11odd, 21,23,25

 

 

2.5

Solutions by Substitution

 

1,5,9-15odd, 23,25

 

 

3.1

Modeling with    linear equations

 

1,3,5,7,11,13,17,119,21,29

 

 

3.2

Modeling with nonlinear equations

 

1,3,9,13

 

 

\

 

 

4,1,1

Initial Value and Boundary Value Problems

 

1-11odd

 

 

4.1.2

Homogeneous Equations

 

15-29odd

 

 

4.1.3

No Homogeneous equations

 

311,33,35

 

 

4.2

Reduction of Order

 

1,3,557,13,15

 

 

4.3

Hom. Linear with constant coefficients

 

1-13odd, 19,23,25,31,33,35

 

 

4.4

Undetermined coefficients

 

1-13odd, 17,21,25,31,33

 

 

4.6

Variation of parameters

 

1,5,9,13,19,21

 

 

4.7

Cauchy-Euler  equations

 

1-13odd

 

 

4.8

Solving  systems of eqns with elimination

 

1,3,5,7

 

 

4.9

Nonlinear Equations

 

1,3,5,7

 

 

\\

 

 

5.1.1

Free un-damped motion

 

1-11 odd

 

 

5.1.2

Free  damped motion

 

17-27odd

 

 

5.1.3

Driven motion

 

29-35odd

 

 

5.1.4

Series  circuit Analogue

 

45,47,49,51

 

7.1

Definition of Laplace Transform

 

1-35odd

 

7.2

Inverse  Transform and Derivatives

 

1,3,7,11,15,19,23,27,35,37,39

 

7.3.1

Translation on the s-Axis

 

1-19odd, 23,27

 

7.3.2

Translation on the t-Axis

 

37-47odd, 55,59,63,65

 

7.4

Additional Operational Properties

 

1,5,9,13,17,27,29