Course: Math 217, Differential Equations
Class hours: MTThF. Section 1, 10am-11am; Section 2, 12pm-1pm
Classroom: Louderman 458
Instructor: Quo-Shin Chi
Office: Room 210, Cupples I
Tel: 314-935-6757; email: chi@math.wustl.edu
Office Hours: MF, 2pm-3pm, or by appointment
Textbook: Elementary Differential Equations and Boundary Value Problems, 8th ed., by Boyce and Diprima


     We  will cover Chapters 1-7, and 9.1, 9.2 of the textbook. Math 233 (Calculus III), or Math 233 concurrently with Math 217, is the prerequisite for taking this course.

     You are strongly suggested to attend the lectures. The material to be covered and homework to be assigned for each lecture are given below in the syllabus.

     There will be three midterms and a final:

Exam I,    M,      Feb 5,    6:30pm-8:30pm,
Exam II,   M,      Mar 5,   6:30pm-8:30pm,
Exam III, Th,     Apl 12,   6:30pm-8:30pm,
Final,       F,       May 4,   10:30am-12:30pm.

     Bring your student ID to each exam. Books, notes and GRAPHIC calculators or electronic devices are NOT allowed. You will only be allowed a 3-by-5 index card and a scientific calculator as basic as TI30X, which costs $10-$15. Be sure the calculator you choose can handle logarithmic, exponential and trigonometric calculations. It would be wise to use the calculator when you work on your homework problems so that you will be comfortable with it during an exam.

    
The exam dates were set by the University College before you registered. You are therefore expected to take the exams as scheduled. If you must be away for a university sports event or field trip, we suggest that you arrange for your coach or professor to administer the exam on the trip. Excused absences may be granted in the case of illness or bereavement. All excused absences must be granted by Professor Shapiro. The final exam date CANNOT be changed for reasons of traveling convenience.
    
     Each exam is worth 20 points. Each midterm consists of 15 multiple choice questions, where each such question is worth 1 point, and 1 free response question worth 5 points. The final consists of 20 multiple choice questions, 1 point for each. The exams will be designed to test your understanding of the course content, and so they will be similar to the suggested and due homework problems, examples in the book and those presented in class.

    
There will be 12 homework sets, each of which is worth 20 points and will be due at the start of the Tuesday lecture indicated in the syllabus. Please note: LATE HOMEWORK WILL NOT BE ACCEPTED. The overall homework score will be the average of your best 10 graded homework scores. Put your full name, student ID number and the due date at the top right corner of each page of your homework. Please, please, write your name and solution as neatly and legibly as possible. By doing so you may let the grader understand your work better and thus give you a better score. Note also that since the book provides you in the back with answers to all exercises, you should come up with your solutions in as detailed a manner as possible. WRITING DOWN AN EQUATION OR A SOLUTION WITHOUT DUE PROCESS WILL RESULT IN NO CREDITS FOR THE INVOLVED PART OF THE PROBLEM. Note also that the suggested problems in the syllabus are only meant for your further practice, by yourself, on the techniques learned in class and should NOT be handed in.

     The grading scale will be 20% for homework and 20% for each of the four exams. Since homework takes up 1/5 of your overall score, you should try your best to take advantage of it; after all, doing homework is the only way to master the subject matter. Your overall letter grade will be determined by the following scale, with plus and minus to be given later (S is your overall score):

A   if   90  <=  S ;
B   if   70  <=  S  <  90;
C   if   60  <=  S  <  70;
D   if   50  <=  S  <  60;
F    if    S    <   50.

Should you choose P/F for this course,  then  60 is the passing score.
    
      You can check your homework, exam seat and exam scores online at    

                               hhp://www.math.wustl.edu    

and click the appropriate link under the category Resources.    



SYLLABUS.


Date                                                                     Section                                              Suggested Problems (NOT to be handed in)                                                                                                         

Jan 16                                                                   1.1, 1.2                                             1.1: #15-20            
Jan 18                                                                   1.2, 1.3                                             1.2: #8, 9, 12, 15           
Jan 19                                                                   2.1                                                   #14, 16, 18, 20                                                  

*1st Homework: 1.2: #19(a),(b),(e) (5 points for each part);  2.1: #30 (5 points). Due Jan 23.

Jan 22                                                                   2.2                                                   #2, 4, 6, 8
Jan 23                                                                   2.3                                                   #1, 4, 5, 8, 12, 19, 27
Jan 25                                                                   2.4, 2.5                                            2.4: #1-12, 22, 23, 27
Jan 26                                                                   2.5                                                   #2, 4, 6, 15

*2nd Homework: 2.2: #30(a),(b),(c),(d),(e) (6 points for (d) and 1 point for other parts);  2.4: #28 (5 points); 2.5: #8 (5 points). Due Jan 30.

Jan 29                                                                   2.6                                                   #1, 3, 5, 7, 9, 11, 13, 15, 19
Jan 30                                                                   2.7                                                   #1, 3
Feb 1                                                                    3.1                                                   #2, 4, 6, 8, 10, 12, 14, 16                             
Feb 2                                                                    3.2                                                   #1, 5, 7, 9, 11, 21, 24

*3rd Homework: 2.6: #24 (5 points); 2.7: #2(a) ( 5 points); 3.2: #16 (5 points),; 3.2: # 18 (5 points). Due Feb 6.
     
Feb 5                                                                    Review for Exam I                                                                                                                                           
Feb 6                                                                    3.3                                                 
#1, 3, 15         
Feb 8                                                                    3.4                                                  #8, 10, 12, 14, 16
Feb 9                                                                    3.5                                                  #1, 3, 5, 7, 9, 11, 13, 23, 25, 27

*4th Homework: 3.3: #2 (5 points); 3.4: #22 (5 points);  3.5: #12 (5 points); 3.6: #1 (5 points). Due Feb 13.

Feb 12                                                                  3.6                                                 
#2, 4, 6, 8, 10, 12, 14, 16, 18, 19(a)
Feb 13                                                                  3.6, 3.7                                           3.7: #1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Feb 15                                                                  3.7, 3.8                                           3.8: #6, 7, 8
Feb 16                                                                  3.8                                                  #17, 18

*5th Homework:  3.6: #15 (5 points); 3.7: #10 (5 points); 3.8: #11 (5 points); 3.8: #12 (5 points). Due Feb 20.

Feb 19                                                                  3.9                                                  #1, 3, 5, 11, 16
Feb 20                                                                  3.9, 4.1                                           4.1: #1, 3, 7, 9, 17
Feb 22                                                                  4.2                                                  #16, 18, 20, 22, 24, 29, 30, 32, 37
Feb 23                                                                  4.3                                                  #4, 6, 10, 14                                         

*6th Homework  3.9:  #12 (5 points); 4.2: #39(a),(c) ( 5 points for each part); 4.3: #1 (5 points). Due Feb 27.

Feb 26                                                                  5.1                                                  all odd numbered problems.                                                                        
Feb 27                                                                  5.2                                                  #2, 4, 6, 8, 10, 12, 14, 15                                                 
Mar 1                                                                   5.2, 5.3                                           5.3: #1, 5,  22, 23
Mar 2                                                                   5.4, 5.5                                           5.4: # 1, 3, 5, 7, 9, 11, 13, 15, 17

*7th Homework: 5.3: #10(a) (10 points); 5.4: #19 (5 points); 5.4: #20 (5 points). Due Mar 6.

Mar 5                                                                  Review for Exam II
Mar 6                                                                  5.5                                                   #1, 5, 9, 24         
Mar 8                                                                  5.6                                                   #2, 4, 6, 8       
Mar 9                                                                  5.6, 5.7                                            5.6: #15, 16

                                                                                                      
                                                                                      SPRING BREAK, Mar 12-Mar 18


Mar 19                                                               5.7                                                    #2, 4, 6, 8, 14        
Mar 20                                                               5.8                                                    #1, 2, 3, 4, 6
Mar 22                                                               5.8                                                    #9, 12
Mar 23                                                               6.1, 6.2                                             6.1: #6, 8, 10, 16, 18         

*8th Homework: 5.6: #12(b) (5 points); 5.7: #21(c) (5 points); 5.8: #5 (5 points); 5.8: #13 (5 points). Due Mar 27.

Mar 26                                                              6.2                                                     #2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22         
Mar 27                                                              6.3                                                     #2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22   
Mar 29                                                              6.4                                                     #2, 4, 6, 8, 12
Mar 30                                                              6.4, 6.5                                              6.5: #1, 2

*9th Homework: 6.2: #21 (5 points); 6.3: #15 (5 points); 6.4: #3 (5 points); 6.4: #13 (5 points). Due Apl 3.

Apl 2                                                                6.5                                                      #9, 10, 13                                                                        
Apl 3                                                                6.6                                                      #10, 11, 17, 18, 20        
Apl 5                                                                7.1                                                      #1, 3, 5, 9, 11          
Apl 6                                                                7.2                                                      #11, 13, 19, 21, 22, 24

*10th Homework: 6.5: #12 (5 points); 6.6: 22(a) (5 points);  7.1; 23(a) (5 points, you must explain in details how you derive the equations); 7.2: #18 (5 points). Due Apl 10.

Apl 9                                                               7.3                                                       #2, 4, 6, 8, 12, 14, 16, 22          
Apl 10                                                             7.4, 7.5                                                 7.4: #6, 7          
Apl 12                                                             Review for Exam III                             
Apl 13                                                             7.5                                                       #1, 3, 5, 11, 17, 25       

*11th Homework: 7.3: #21 (10 points); 7.5: #18 (10 points). Due Apl 17.

Apl 16                                                            7.6                                                        #2, 6, 8,10, 14             
Apl 17                                                            7.7, 7.8                                                 7.7:#1, 5, 7, 9         
Apl 19                                                            7.8                                                        #2, 6, 8, 12          
Apl 20                                                            7.9                                                        #1, 3, 5, 7         

*12th Homework: 7.6: #7 (3 points); 7.8: #6 (3 points);  7.8: #17(a),(b),(c),(d) (1 point each for (a) and (b), 4 points each for (c) and (d)); 7.9: #9 (4 points). Due Apl 24.

Apl 23                                                           9.1                                                         #1, 3, 5, 7, 9, 13, 15          
Apl 24                                                           9.2                                                         #1, 3, 5, 7, 9          
Apl 26                                                           Review
Apl 27                                                           Review

May 4 FINAL EXAM, 10:30am-12:30pm

  
Homeworks