MATH3110
Differential Equations I

We are particularly interested in developing skills to read (study) the textbook. Not all material will be presented in class. We will expect you to acquire some of the material. Our responsibility is to point out where you should concentrate your study and to help pace your progress through the course. Homework checking and class discussion will force you to proceed on a steady pace rather than concentrating study just before tests.

We will also use the software package Maple to generate direction fields, to solve a equation and to plot solutions, etc. You are encouraged to learn from each other about the use of Maple. Maple is available on the UNIX machine stats (unix command: xmaple) and PCs in math learning center.

• Textbook: Fundamentals of Differential Equations and Boundary Value Problems, Third Edition, by R. Kent Nagle, Edward B. Saff and Arthur David Snider, Addison-Wesley, 2000.
• Textbook Web Site: http://www.awlonline.com/nagle/ This Web site offers additional support for both students and instructors, including instructional utility software, interactive differential equations, instructor's Maple manual and so on.
• Lecture Slides (samll one ) can be browsed.
• Lecture Notes are available in postscript file and Latex file

• Instructor: W. Liu
  Office Phone: (902) 494-3896
  E-Mail: weiliu@mathstat.dal.ca
  Office: Chase 252
  Office Hours: MTWR 1:30pm-2:30pm or by appointment

• Marks so far.

• Assignments: There will be 6 assignments as shown below. Use a cover page to clearly identify youself and the course, including your name, ID number, course number and assignment number. Staple your assignments at the left up corner. Submit your assignments on time. See the instructor if you can not submit them on time for some reasons.

  Assignments and Solutions
  Hard copies of solutions are available in Math and Stats Learning Center

  Assignment 1	1.2: 12, 22, 28; 1.3: 18; 1.4: 4	Due in class on May 10. Solution (Postscript file) available on May 11
  Assignment 2	2.2: 10, 20, 36; 2.3: 14, 20, 30; 2.4: 16, 24; 2.6: 12, 18, 26;	Due in class on May 14. Solution (Postscript file) available on May 15. Solution available now
  Assignment 3	3.2: 4, 14; 3.4: 8; 4.2: 10(b), 12, 14, 16; 4.3: 6, 8, 20;	Due in class on May 17. Solution (Postscript file) available on May 18 solution 3 available
  Assignment 4	4.4: 6, 8; 4.5: 16, 18, 30, 36; 4.6: 14, 22; 4.7: 2; 4.8: 8, 14, 16, 28	Due in class on May 22 . Solution (Postscript file) available on May 23
  Assignment 5	4.9: 6, 16; 4.11: 8; 4.12: 4; 6.1: 4, 16; 6.2: 2, 6, 8;	Due in class on May 24. Solution (Postscript file) available on May 25
  Assignment 6	6.3: 6, 22; 6.4: 2; 5.2: 4; 5.3: 2;	Due in office 252, chase building, on May 28. Solution (Postscript file) available on May 29 solutions available now

• Midterm: Two-hour in-class closed book exam on May 17, 19:00-21:00. For the format of exam, see the sample (ps file). Midterm Solution available in PS file. Hard copies left in Math and Stats Learning Center.

• Final: Three-hour in class closed book exam (standard) on May 30, 18:00-21:00. For the format of exam, see the sample (ps file). Final Exam Solution is available in PS file. A hard copy is left in Math and Stats Learning Center.

• Grading System: Assignments 30%, Midterm 25%, Final 45%. The formula of calculating the total marks is

                  sum of your marks obtained in six assignments        
  Total marks = ------------------------------------------------ X 30 
                      sum of full marks of six assignments 
  
                      your marks obtained in midterm                 
                  + ------------------------------------- X 25
                           full midterm marks
                 
                      your marks obtained in final                 
                  + ------------------------------------- X 45
                           full final marks
  

  
  Class attendance is required. Spotty attendance almost always results in a lower grade! No make-up tests will be given for unexcused absences. The final exam will serve as the make-up test for an excused absence. The University policy on academic dishonesty will be strictly enforced (see Student Handbook).

• Contents:
  Chapter 1. Introduction.
  Chapter 2. First Order Differential Equations.
  Chapter 3. Mathematical Models and Numerical Methods Involving First Order Equations.
  Chapter 4. Linear Second Order Equations.
  Chapter 5. Introduction to Systems and Phase Plane Analysis.
  Chapter 6. Theory of Higher-Order Linear Differential Equations.

• Class Schedule:

  Class Schedule

  May 7	1.1, 1.2, 1.3
  May 8	1.4, 2.2, 2.3
  May 9	2.4, 2.6, 3.2
  May 10	3.4, 4.1, Review
  May 14	4.2, 4.3, 4.4
  May 15	4.5, 4.6
  May 16	4.7, 4.8
  May 17	4.9, Midterm(2 hours)
  May 21	4.11, 4.12, 6.1
  May 22	6.2, 6.3
  May 23	6.4, 5.2, 5.3
  May 24	5.4, 5.5, Review
  May 30	Final Exam (3 hours)