Spring 2009

Math 251H: ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS

MTWF 4:40-5:30pm 103 Willard

Instructor: Xiantao Li

  • Course Syllabus

  • Office hours : Mon 2:30 PM -3:30 PM, Wed 2:30 PM --3:30 PM, or by appointment (XXL12 AT PSU DOT EDU, 8639081, 219C McAllister).

  • Homework problems will be assigned every Wednesday and collected on the following Wednesday.
    Homework that is turned in late will not be graded.

  • In-class quiz : there will be eight twenty-minute quiz, which will be announced the class before.

  • Exams: there will be two midterms and a comprehensive final exam.

  • Final grade: The final grade will be given based on 450 points: Midterms 200 points + Final 150 + Homework and quiz 100 points.
    405 (90%) or higher guarantees an A;
    360 (80%) guarantees at least a B;
    315 (70%) guarantees at least a C;
    270 (60%) guarantees a least a D.
    • Direction Field and Phase Portrait's applets(by Prof. John Polking)

    Midterm I: Feb 26, 2009, 6:30PM -- 7:45PM, 117 Henderson
    Midterm II: Mar 26, 2009, 6:30PM -- 7:45PM, 117 Hendenson
    Final Exam: May 6, 2009, 6:50PM -- 8:50PM, 322 HHD East

    Homework Assignment and Quiz

    Homework 1 (Due Jan 21) :
    1.1 1, 3, 11, 27;
    1.2 7, 9;
    2.1 2, 4, 6, 8, 24;
    2.2 2, 4, 6, 8, 24;

    		Homework 2 (Due Jan 28) :
    2.3: 4, 7, 9, 11, 24.     		Quiz I (Monday, Jan 26).
    2.1
    2.2
    Homework 3 (Due Feb 4) :
    2.4: 1, 2, 7, 13, 22;
    2.5: 3, 10, 16.     		Homework 4 (Due Feb 11) :
    2.6: 3, 7, 15, 18
    3.1: 3, 16, 20, 21, 24.
    3.2: 5, 9, 22, 24
    		Quiz II (Tue. Feb 10):
    2.6, 3.1, 3.2
    Homework 5 (Due Feb 18) :
    3.3: 1, 13, 17, 19
    3.4: 3, 6, 8, 17
    3.5: 6, 11, 16, 23(a), 26(a).     		Homework 6 (Due Feb 25) :
    3.6: 1, 2, 7, 10, 14, 17
    3.7: 1, 7, 11, 13.
    		 Quiz III (Friday Feb 20):
    3.3, 3.4
    Midterm I (Th, Feb 26)
    Exam Review (Tue, Feb 24)
    Practice exam
    		Homework 7 (Due Mar 4):
    3.8: 6, 9
    6.1: 7, 8, 15.
    		Homework 8 (Due Mar 18):
    6.2: 3, 12, 20.
    6.3: 1, 3, 7, 9, 13, 15, 19.
    6.4: 2(a), 9(a), 11(a), 13(a). Part (b) is optional.
    6.5: 2(a), 8(a), 10(a). Part (b) is optional.
    Quiz IV (Wed. Mar 18):
    6.3, 6.4.
    Solution     		Homework 9 (Due Mar 25):
    7.2: 10, 11
    7.5: 2, 4, 8, 15, 16.
    7.6: 2, 5, 6.

    		Midterm II (Th, Mar 26)
    3.7, 3.8, 6.1 --6.5
    Exam Review (Tue, Mar 24)
    Office hour 2:30 -- 4:00 PM (Tue, Mar 24)
    Practice exam
    Solutions
    Homework 10 (Due Apr 1):
    7.7: 1, 3
    7.8: 7(a), 8(a)
    		Homework 11 (Due Apr 8):
    9.1: 2, 3, 5, 6, 8, 9 part (a) (b).
    9.2: 5, 6 (a)--(c)(use the software mentioned above)
    9.3: 7, 8, 12 (use the software mentioned above for (d))
    9.5: 1 (b)(c)(e).
    		Quiz V (Fri. Apr 10):
    9.1, 9.3.
    Homework 12 (Due Apr 15):
    9.6: 2 (use theorem 9.6.4), 5, 6
    10.1: 1, 4, 8, 15, 16
    		Homework 13 (Due Apr 22):
    10.2: 14, 16.
    10.4: 8, 11, 23(a).
    10.5: 2, 6, 7, 11.     		Quiz VI (Fri. Apr 17):
    10.1, 10.2, 10.4.
    Quiz VII (Mon. Apr 27):
    10.5, 10.7.
    		Homework 14 (will not be graded):
    10.6: 1, 3, 5.
    10.7: 2, 6.
    10.8: 1(a,b), 3 (a,b).     		Final exam (May 6)
    7.1,7.4-7.8, 9.1--9.3, 10.1, 10.2, 10.4--10.8.
    Exam Review I (WED, Apr 29)
    Exam Review II (FRI, May 1)
    Practice exam I
    Practice exam II