Week |
week of |
Sections |
Topics |
1 |
17-Sep |
1.1-4 2.1-2 |
Introduction to differential equations, 1st
order linear DEs, Separable equations |
2 |
24-Sep |
2.4 2.6 |
Exact equations and Int. factors,
Linear vs. Nonlinear 1st order DEs |
3 |
1-Oct |
3.1-2 |
2nd order linear DEs in general, hom.
w/constant coef., Wronskian. |
4 |
8-Oct |
3.3-5 |
Complex, Repeated roots of Char. Eqn., Nonhom.
Eqn. Undet. Coeff. |
5 |
15-Oct |
3.6
M1 |
Variation of Parameters |
6 |
22-Oct |
4.1-3
|
nth order Linear
DEs, Hom. Eqn. w/constant coeff., Undet. Coeff. |
7 |
29-Oct |
4.4
|
Variation of Parameters |
8 |
5-Nov |
5.1-2 |
Power series, Series Solutions (ordinary
pt) |
9 |
12-Nov |
5.3-4 |
Series Solutions (ord. pt), Euler Eqns. |
10 |
19-Nov |
6.1
M2 |
Laplace transform. |
11 |
26-Nov |
6.2-3 |
Solns of IVPs, Step functions,
|
12 |
3-Dec |
6.4, 6 7.1-2 |
DE with discont. function, Convolutions,
Review of linear algebra |
13 |
10-Dec |
7.3-6 |
Systems of 1st order linear DEs |
14 |
17-Dec |
7.7 M3 |
Systems of 1st order linear DEs |
15 |
24-Dec |
10.2, 5 |
Introduction to PDE, Heat equation |
Course webpage:
http://home.ku.edu.tr/~math204
Syllabus:
SyllabusMath204_F12.pdf
Textbook:
W. E. Boyce and R. C. DiPrima, Elementary Differential
Equations and Boundary Value Problems, 9th Edition (John
Wiley & Sons, New York, 2010)
Evaluation
method:
There will be 3
midterm exams. The contribution of the midterm and the final
exams are as follows: the midterm exams 20% each, and
the final exam 40%.
PS Attendance
Bonus:
The bonus for PS attendance will be
0.5% for
each PS attended.
Make-Up Exams:
If a student misses
just one midterm exam and has a
valid medical report or an excuse accepted by the Dean’s
office, his or her score in the final exam will be
substituted for the grade of the exams that are missed.
If a student misses more than one midterm exams or final
exam, and has a valid medical report or an excuse accepted
by the Dean’s office, a make-up exam will be given. Otherwise, a zero will be entered as the grade for the
corresponding exams.
Auditing Students:
In order to get an AU in this course a student should attend
a minimum of 20 lectures. To determine this, the auditing
student(s) should contact the instructor at the end of each
class and ask to sign a special attendance sheet.
Academic
Honesty:
If a student is caught cheating in an exam, (s)he will be
punished according to the YÖK regulations. These consist of
one or two semesters of prohibition from attending the
university.