Course: Mathematics 0251.021.
Course Title: Differential Equations.
Time: MTWR 12:55-2:25.
Place: BB 205.
Instructor: Gimenez, Jose.
Instructor Office: Wachman Hall 513.
Instructor Email: gimenez@temple.edu.
Instructor Phone: 215 204 6771.
Office Hours: Tuesday 3:00-4:00.
Prerequisites: Math 86 with a grade of C or better, or its equivalent; Corequisite Math 127.
Textbook: Differential Equations, Second Edition, by Polking, Boggess, and Arnold.
Course Goals: To enable prepared students to learn basic concepts and techniques of ordinary differential equations.
Topics Covered: First order differential equations, second and higher order linear equations, series solutions, Laplace transforms, systems of first order equations.
Course Grading: Two class tests 20% each, comprehensive final exam 40%, 10-Minute Short Quizzes 20%. There will be no make-ups. The Short Quizzes will be announced ahead of time (probably the day before) and will be given at the beginning of the class.
Exam Dates: Tests: Tuesday 7/20, Wednesday 8/9 Final Exam: 8/15.
Attendance Policy: Attendance and engagement in class are expected and will be factors in borderline cases.
 

Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.

Students will be charged for a course unless a withdrawal form is processed by a registration office of the University by the Drop/Add deadline date. The Drop/Add deadline date is published in the Class Schedule each semester and is at the end of the second week of the semester or the third day of each summer session. For this semester, the crucial dates are as follows:

• The last day to drop (tuition refund available) is Tuesday, July 18.
• The last day to withdraw (no refund) is Tuesday, August 1.
• The last day of classes is Tuesday, August 15.

During the first two weeks of the fall or spring semester or summer sessions, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.

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Calendar section 021

Week #1: Sections 2.1 & 2.2

Week #2: Sections 2.3,  2.4, 2.5 & 2.6

Week #3: Sections 2.7, ,3.4, 4.3

Week #4: Sections 4.4, 4.5, 4.6 & 4.7

Week #5: Sections 5.4, 5.5,  5.6 & 5.7

Week #6:Sections 11.2,  & 6.1 and Ch 9

Week #7: Review and Final Exam.

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Assigned Exercises.

2.1       p 25: 1, 3, 5, 6, 7, 9, 11, 35, 36

2.2       p 35: odd 1-25, 32

2.3       p 44: 1, 3, 5, 6, 9, 10, 14

2.4       p 55: odd 1-17, 22, 23, 25

2.5       p 75: 1-6

2.6       p 86: odd 9-29, 35, 37, 39

2.7       For each of the following initial value problems , apply         Picard’s method   

            to find  and .

(To find , use equation  , which holds for all values of x.)   

1.     

            2.                                                                          

Answers to 2.7.1 and 2.7.2

2.7.1     ;

2.7.2       

3.4       p 131: 1, 3, 7, 8, 13, 14

For some of the problems in 3.4, you may find the following equations helpful.

4.3       p 158: 1, 5, 9, 13, …, 33, 38

4.4       p 163: 7, 9, 11, 13, 15, 16, 17, 19, 23, 25      

4.5       p 172: odd 1-33

4.6       p 177: 1, 3, 5, 9, 10, 13, 14

4.7       p 185: 9(a), 10(a), 11, 17, 19

5.1       read

5.2       read

5.3       read

5.4       p 214: 1, 5, 9, 13, …, 29

5.5       p 225: 1, 5, 11, 13, 15, 17, 21, 25, 26-29

5.6       1.            

            2.        

            3.        

            4.        

            5.        

            6.        

5.7       p 241: 5, 7, 9, 17, 19, 21, 27, 29, 31

11.2     p 554: 1, 5, 9, 13, 15, 17, 19, 21        

Chapter 9         Linear Systems (see Notes)

1.                                                     Ans.    

2.                                                   Ans.    

3.                            Ans.    

4.                             Ans.    

5.                                                       

6.                                Ans.              

7.                                                                                           

8.                              Ans.    

9.                 Ans.                       

10.            

6.1       p 253: 3, 6, 7, 12, 14