• Syllabus for MA 341-002, Fall 2000
  • Applied Differential Equations I
    • 1.   Instructor: Dr. N. Jing
           Office: HA 218                    Office Hours:  T and H, 11:05--12:35
              Lecture Hours: TH, 9:50-11:05
           Classroom: HA 307
           Phone Number:515-8783 .
            Teaching Assistant: David Weaver, dweaver@unity.ncsu.edu
          Office Hours: M and W, 12:00-1:15, in HA 261
             Tutoring serive: 118 Page Hall, 515-7205, Susan Bond (spond@unity.ncsu.edu)

    2. Textbook:
         Differential Equations and Boundary Value Problems, by Nagle, Saff and Snider, 3rd ed., 2000.

    3. Schedule of exams:
         Two in-class tests:1) H 9/28;  2) H 11/9.
         And quizzes on 10/19 and 11/30.

         Final exam: December 12, 8-11 am.

    4. Grading Policy:
             Attendance/Homework:15%
             Tests:45%
             Quizzes: 10%
             Final Exam: 30%

    5. Tentative Topics:
            Week 1 (8/22-), 1.1-1.5, Rudiments of ODE
            Week 2 (8/29-), 2.1-2.3, Solving elementary equations. Labor Day (9/4)
            Week 3 (9/6-), 3.2-3.4, Applications; 4.1, Diff operators
            Week 4 (9/12-), 4.2-4.5, Fundamental solutions
            Week 5 (9/19-), 4.6-4.9, Constant coefficents
            Week 6 (9/26-), Review and Test 1
            Week 7 (10/3-), 4.11-12, Mechanical vibrations; 7.1-2, Laplace transforms
            Week 8 (10/10-), 7.3-7.5, Laplace transforms. Fall Break starts F.
            Week 9 (10/19 T), Quiz
            Week 10 (10/24-), 7.6-7.7, Periodic functions, Convolution; 9.1-2, Linear alg
            Week 11 (10/31-), 9.3-9.5, Linear systems, eigenvalues. Quiz
            Week 12 (11/7-), 9.6-9.7, Cplx eigenvalues, nonhomog system,  Test 2
            Week 13 (11/14-), 5.1-2, Phase plane, 5.3, Gauss elimination.
            Week 14 (11/21)  5.4-5.5, mass-spring systems, Thanksgiving. Quiz
            Week 15 (11/28-), 12.1-3, Linear systems in the plane, almost linear system,
            Week 16 (12/5-), 12.4, Energy methods. Review

    6. Weekly Homework Assignments:
           1.2: 9, 17, 21, 23, 27; 1.3: 5, 11, 15
            1.4: 1, 10, 17, 19; 1.5: 3, 5; 2.2: 3, 5, 13, 17, 21, 27(b)
             2.3: 1, 3; 2.3: 1, 3, 5, 19;
    Week of 9/5, 3.2: 1, 3; 3.3: 7, 10;
           9/12, 4.2: 3, 5, 8, 9, 12, 15; 4.3: 3, 9, 13, 19; 4.5: 13, 15, 29, 35 (due 9/19)
           9/19-, 4.6: 5, 19, 23, 29(a), 33; 4.7: 3, 9, 11(due 10/3)
          10/3-, 4.8: 7, 9, 17, 21, 37; 4.9: 1, 3, 13; 7.2: 1, 7, 9, 15. (due 10/10)
          Review, all homework problems are review problems plus the following extra ones:
                   1.3: 7(b)-(e);    1.4: 10;   2.2: 13, 14;     2.3: 8, 15, 19;   3.2: 3;
                          3.3: 7;    4.3: 13;     4.5: 15, 26;      4.6: 19.
           10/10-, 7.3: 3, 7, 17, 25; 7.4: 1, 5, 7; 7.5: 1, 5, 7, 19 (due 10/19)
           10/19, 7.6: 5, 7, 13, 19 (due 10/24)
            10/24-, 7.6, 21, 27, 29, 33; 7.7: 1, 5, 9 (due 10/31)
            10/31-, 9.2: 1, 5, 7; 9.3: 11, 17, 23, 27, 33.  9.4: 5, 15, 17 (due 11/7)
                    QUIZ on 10/31 about Laplace Transform
            11/2: Review problems
                   7.3, 5; 7.4: 21, 27; 7.5: 5, 25; 7.6: 7, 25, 35: 7.7: 5; 9.3, 17; 9.4: 19.
            11/14-, 9.5: 3, 19, 21, 25, 31; 9.6:  3, 5, 13 (a)  (due 11/21)
                   Quiz on sect. 9.5-9.6  on Tuesday, 11/21
             11/21, 9.7: 1, 11 (due 11/30)
             11/30, 12.2: 1, 7, 15 (due 12/5)

    Final Review Problems: 1.3: 7(b)-(e);   1.4: 10;   2.2: 13, 14;    2.3: 8, 15, 19;   3.2: 3;
              3.3: 7;    4.3: 13;     4.5: 15, 26;      4.6: 19;         7.3, 5;        7.4: 21, 27;        7.5: 5, 25;
              7.6: 7, 25, 35;      7.7: 5;     9.3, 17;      9.4: 19.  (These are the previous problems)
         New problems: 9.5: 13;    9.6: 3;    9.7: 2, 5, 11;    12.2: 1, 15
          Note: All HW problems and problems discussed in class are required.
     

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