Differential Equations  

(15-MATH-273-003)   

Spring, 2010

 

Class Room and Class Times: Room 801 of the Old Chemistry Building

                                                      Monday, Tuesday, Wednesday, Thursday, and Friday at 11:00-11:50 a.m.

 

From Monday, March 29th through Friday, June 4th, 2010

 (and the Final Examination on Monday, June 7th, at 9:45-11:45 a.m.) 

                    

Teacher:   Roger Chalkley

Office:   Room 822A, Old Chemistry Building  

Office Hours:  12:00-12:50 p.m. on Monday, Tuesday, Thursday, and Friday

Phone:   (513) 556-4074

 

 

Textbook Elementary Differential Equations,

                    9th Edition, by William E. Boyce and Richard C. DiPrima, John Wiley, 2009.

 

Syllabus:   See the next page for selected topics from Chapters 1 through 6

 

Testing and Grading Policy:  There will be three 50-minute examinations and a 2-hour final examination. 

Each 50-minute exam will be graded on a basis of 100 points and will count as 1/5 of your final grade. 

The final examination will count as 2/5 of your grade.   There will be no substitute examinations. 

If you have a valid excuse (as a document that I may keep) for missing a 50-minute examination, then the

final examination will be weighted as 50% of your grade. 

 

                             Test 1 - Friday, April 16, 11:00 a.m. - 11:50 a.m.

                             Test 2 - Friday, May 7,    11:00 a.m. - 11:50 a.m.

                             Test 3 - Friday, May 28,  11:00 a.m. - 11:50 a.m.

 

                   Final Exam:      Monday, June 7th at 9:45-11:45 a.m. in Room 801 Old Chemistry

 

     Partial credit on tests is awarded only for work that is mostly correct except for one on two minor errors.  You will not be given partial credit for attempting to solve a problem by an incorrect method.  You must show your work on the tests.  A correct answer without the accompanying correct work will receive no credit; an incorrect final answer accompanied by mostly correct work will receive substantial credit.  Also, it is the responsibility of each student to arrange the work in a logical manner and to write legibly.  Remember, when your paper is graded, the grade is based on the work shown, not what was intended or implied.  Please bring and use Examination Booklets (i.e. “Blue Books”) for Tests 1, 2, 3 and the two-hour final examination.  

 

Grade of W:  Tuesday, May 25th, is the last day to withdraw from the class and receive a grade of W.  

 

 

 

 

 

 

 

 

 

 

 

 

 

Differential Equations (15-MATH-273-003)

 

Section Description                                 Suggested Homework Problems

 

1.3 Terminology                                                                pages 24-25, Numbers 1–20

2.1 Linear first-order differential equations                     pages 39-40, Numbers odd 1–25

2.2 Separable first order differential equations                pages 47–48, Numbers odd 1–23

      and homogeneous (nonlinear) first-order ones           page 50, Numbers odd 31–37 

2.3 Word Problems                                                           pages 59–60, Numbers 1–4 

2.4 Comparisons                                                               pages 75–77, Numbers odd 1–15 

2.6 Exact differential equations                                       pages 99–100, Numbers odd 1–15

                               (ignore integrating factors for other than linear first-order equations)

 

Problems on pages 132-133       This is an excellent selection of problems

                                               to practice for the first examination 

       (to recognize whether a given first-order differential equation 

        is linear, or separable, or homogeneous, or exact, or something else). 

 

3.1 Second-order homogeneous linear equations      

      having constant coefficients                                      page 144, Numbers odd 1–21

3.2 Solutions, linear independence,                         

      and the Wronskian                                                     pages 155–156, Numbers 1, 5, 9, 13, 17,21, 25, 29, 33

 

3.3 Complex Roots                                                         pages 163–165, Numbers 1–6, 7, 9, 11, 13, 15 17, 19

3.4 Repeated Roots                                                         page 171, Numbers odd 1–13

3.5 Nonhomogeneous

      method of undetermined coefficients                   page 183, Numbers odd 1–17

3.6 Nonhomogeneous

      variation of parameters                                        page 189, Numbers odd 1–15

4.1 General theory – nth order linear equations           pages 224–225, Numbers odd 1–19

4.2 Homogeneous ones with constant coefficients      pages 231–232, Numbers 1–10, odd 11–23

4.3 Nonhomogeneous ones

     undetermined Coefficients                                   pages 237, Numbers 1–8 and 13–18

4.4 Nonhomogeneous ones

      – variation of parameters                                       page 242, Number 1 and 7

 

5.1 Review of power series                                          page 249, Numbers odd 1–25

5.2 Series solutions, Part I                                            page 259–260, Numbers odd 1–13

5.3 Series solutions, Part II                                          page 265, Numbers odd 1–7

5.4 Euler equations and regular singular points          page 276, Numbers odd 1–11 and odd 17–33

6.1 Definition of Laplace transform                             page 311, Numbers odd 1–23

6.2 Solution of initial-value problems                         page 320, Numbers odd 1–19 and 25

6.3 Step functions                                                        page 328–329, Numbers 1, 5, 9, 13, 17, 19–23

6.4 Linear equations

      with discontinuous right-hand member                page 336, Numbers 1, 3, 5, 7