Differential Equations
(15-MATH-273-001)
Winter, 2008
Class Room and Class Times: Room 801 Old Chemistry Building
on Monday, Tuesday, Wednesday, Thursday, and Friday at 9:00-9:50 a.m.
From Monday, January 7th through Friday, March 14th, 2008 (and the Final Examination on Wednesday, March 19th ) with the exception of Martin-Luther-King Day on January 21st.
Teacher: Roger Chalkley
Office: Room 822A, Old Chemistry Building
Office Hours: 10:00-10:50 a.m. on Monday, Tuesday, Thursday, and Friday
Phone: (513) 556-4074
Textbook: Elementary Differential Equations and Boundary-Value Problems,
8th Edition, by William E. Boyce and Richard C. DiPrima, John Wiley, 2005.
Syllabus: 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.
Test 1 - Friday, January 25, 9:00 a.m. - 9:50 a.m.
Test 2 - Friday, February 15, 9:00 a.m. - 9:50 a.m.
Test 3 - Friday, March 7, 9:00 a.m. - 9:50 a.m.
Final Exam Wednesday, March 19th at 7:30-9:30 a.m. (in Room 801Old 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 second hour of the two-hour final examination. The use of pocket calculators and electronic devices of any type during the examinations is prohibited.
Grade of W: Tuesday, March 4th, is the last day to withdraw from the class and receive a grade of W.
The MATHEMATICA commands from the Calculus-II-Laboratory course that are primarily concerned with differential equations, occur in Chapter 6 of the book ‘CalcLabs-with-Mathematica-Single Variable’
2nd Edition, by Selwyn Hollis. If you wish to recall these commands when having access to a computer with MATHEMATICA installed, you may visit the web page
http://math.uc.edu/~chalklr/Calc-2-Lab-Notebooks.htm
and then click on Chapter 6.
Differential Equations (15-MATH-273-001)
Section Suggested Homework Problems
1.3 Classification 1 – 20
2.1 Linear first-order 13 -- 20, 30, 31, 32, 33
2.2 Separable 1 -- 8, 14, 24, 26, 31 -- 38
2.3 Modeling 1 -- 5, 12
2.4 Differences etc. 1 -- 6, 8, 10, 24 -- 28
2.6 Exact 1 -- 12
3.1 Constant etc. 1 -- 18, 20, 21
3.2 Fundamental Solutions 1, 3, 5, 7, 9, 21
3.3 Wronskians 1, 3, 5, 15, 17
3.4 Complex Roots odd numbers 1 -- 21
3.5 Repeated Roots odd numbers 1 -- 13 and odd numbers 23 - 29
3.6 Nonhomogeneous Linear odd numbers 1 -- 17
3.7 Varation of Parameters odd numbers 1 -- 19
4.1 General Theory odd numbers 1 -- 19
4.2 Homogeneous with odd numbers 1 -- 23
4.3 Undetermined Coefficients 1 -- 8, 13 -- 18
4.4 Method of odd numbers 1 -- 7
5.1 Review odd numbers 1 -- 25
5.2 Series, Part I odd numbers 1 -- 13
5.3 Series, Part II odd numbers 1 -- 7
5.4 Regular Singular Points odd numbers 1 -- 13
5.5 Euler Equations odd numbers 1 -- 11
(and other topics depending on the time available)