• Syllabus for MA 341, Fall 2007
  • Applied Differential Equations I
    • 1.   Instructor: Dr. N. Jing
           Office: HA 218                    Office Hours:  T and H, 2:00-3:00
           Lecture Hours: TH, 10:15-11:30.   Classroom: HA 263
           Phone Number:513-3584 .
           Teaching Assistant:  Office Hours:

    2. Textbook:
         Differential Equations and Boundary Value Problems, by Nagle, Saff and Snider, 4th ed.

    3. Schedule of exams:
         Three in-class tests:1) T 9/13;  2) H 10/18, 3)H 11/8.
         And quizzes on H 12/6 or 11/29.

         Final exam: H, December 13, 8-11 am.

    4. Grading Policy:
             Attendance: 5%, Quizzes: 10%, Tests:50%, Final Exam: 35%

    5. Tentative Topics:
            Week 1 (8/22-), 1.1-1.5, Rudiments of ODE
            Week 2 (8/27-), 2.1-2.3, Solving elementary equations. Labor Day
            Week 3 (9/4-), 3.2-3.4, Applications; 4.1, Diff operators
            Week 4 (9/10-), 4.2-4.5, Fundamental solutions, Test 1
            Week 5 (9/17-), 4.6-4.9, Constant coefficents
            Week 6 (9/24-), 4.11-12, Mechanical vibrations; 7.1-2, Laplace transforms
            Week 7 (10/1-), 7.3-7.5, Laplace transforms.
            Week 8 (10/8 ), 7.6-7.7, Periodic functions, Convolution; 9.1-2, Linear alg
            Week 9 (10/15-), Test 2
            Week 10 (10/22-) 9.3-9.5, Linear systems, eigenvalues. Quiz
            Week 11 (10/29-), 9.6-9.7, Cplx eigenvalues, nonhomog system,  Test 2
            Week 12 (11/5-), Test 3
            Week 13 (11/12-) 5.1-2, Phase plane, 5.3, Gauss elimination.
            Week 14 (11/19-)  5.4-5.5, mass-spring systems, Thanksgiving. Quiz
            Week 15 (11/26-), 12.1-3, Linear systems in the plane, almost linear system,
            Week 16 (12/3-), 12.4, Energy methods. Review

    6. Weekly Homework Assignments:
           1.2: 9, 17, 21  1.3: 5, 11, 15 1.4: 1, 10 
           2.2: 3, 11, 13, 17, 21; 2.3: 1, 3, 5, 19;    
           3.2: 1, 3; 3.3: 7, 10;   3.5: 1, 2;     
               4.1: 7; 4.2: 3, 5, 8, 15, 22, 28; 4.3: 3, 9, 13, 19, 28, 29(a);
           4.4: 9, 13, 27;  4.5: 3, 9, 18, 25, 33       
           4.6: 5, 13, 21, 33;  4.8: 2,  7;  4.9: 3, 9;
           7.2: 1, 7, 9, 15, 21;
           7.3: 3, 5, 7, 17, 25; 7.4: 1, 5, 7; 7.5: 1, 5, 7, 9
           7.6: 5, 7, 13, 19, 21, 27, 29, 33; 7.7: 1, 5, 9;
           9.2: 1, 5, 7; 9.3: 11, 18, 23, 27,
           9.4: 5, 15, 17, 21,28
            9.5: 3, 19, 21, 25, 31;   (the above is updated)  Test 3 covers Chap 7 and 9.1--9.5

     9.6:  3, 5, 13 (a)  (due 11/21)
                   Quiz on sect. 9.5-9.6  on Tuesday, 11/21
             9.7: 1, 11 (due 11/30)
              12.2: 1, 7, 15 (due 12/5)


    Further Information:

    NCSU Academic Regulations can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_policies/ (link)