Differential Equations  

(15-MATH-273-003)   

Spring, 2012

 

Class Room and Class Times: Room 605 of the Old Chemistry Building

                                                      Monday, Tuesday, Wednesday, Thursday, and Friday at 10:00-10:50 a.m.

                                                      except for Memorial Day, Monday, May 28

 

From Monday, March 26 through Friday, June 1, 2012

and the Final Examination on Wednesday, June 6, at  12:00-2:00 p.m. in Room 605

                    

Teacher:   Roger Chalkley

Office:   Room 4504, French Hall West   

Office Hours:  11:00-12:00 a.m. on Monday, Tuesday, Wednesday, 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.   

 

                             Examination 1 - Friday, April 13, 10:00 a.m. - 10:50 a.m.

                             Examination 2 - Friday, April 27, 10:00 a.m. - 10:50 a.m.

                             Examination 3 - Friday, May 18,  10:00 a.m. - 10:50 a.m.

 

                   Final Exam:      Wednesday, June 6 at 12:00-2:00 p.m. in Room 605 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.    

 

Grade of W:  Tuesday, May 22, is the last day to withdraw from the class and receive a grade of W.  

 

The Mathematics Learning Center is located in French Hall West, Room 2133.  It is a free, walk-in, mathematics tutoring center for all University of Cincinnati students. The tutoring hours are: Monday -Thursday 9am -8pm; Friday 9am-4pm; Saturday Noon - 4pm.   

Students can get help at the Mathematics Learning Center for all basic mathematics courses through Differential Equations.

http://www.artsci.uc.edu/collegedepts/math/learning_center/

 

 

 

 

 

 

 

 

 

 

 

 

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