Differential Equations
(15-MATH-273-003)
Spring, 2010
Class Room and Class Times: Room 801 of the
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,
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
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