MAT 22B Differential Equations

(M~F 10:00-11:00, Cruess 107)

This is a website for MAT 22B, Summer session 2, 2007,

Course Information

   - Instructor: Eunghyun Lee(Associate Instructor)
   - Email: ehnlee@math.ucdavis.edu
   - Office: 2232 MSB map
   - Office Hours: MWF 11:10 ~ 12:10, TR 1:00~2:00 or by appointment (email me)
   - Course syllabus of the department can be found here. (my syllabus)

Prerequisites

- Students must have taken MAT 21C and MAT 22A or 67.

Required Textbook

- Elementary Differential Equations and Boundary Value Problems, 8th Edition, William E. Boyce and Richard C. DiPrima.

Grading

            - Homework: 20%
            - Midterm 1: 25%
            - Midterm 2: 25%
            - Final: 30%

Homework

           - Homework will be usually assigned twice weekly and due on every Wednesday and Friday at the beginning of class,
             but will be assigned once for the exam-weeks(week 2,4,6) and due on Wednesday at the beginning of class.
   Only a few selected problems out of 'graded problems' will be graded. Homework consists of 'graded problems' and
            'suggested problems'. Late homework will not be accepted.
             Messy or illegible homework will not be graded. The lowest score will be dropped.

           - You can work on homework alone or in groups. I encourage you to try working on it alone first, and then discuss the
   harder questions together. All the work you turn in on HW should truly represent your own work, but I understand that
   a small percentage may be a solution that came from a friend.

             * means a graded problem.

           - HW 1 due on Fri, Aug 10 (solution)
                   1.1: 17*,18,20*       1.2: 3*       1.3: 1,3,4*,5*,7*,9,17*,21*,25     2.1: 14*, 16, 19, 20*
                   2.2: 3*,5*,7*, 12*(you don't have to do (b)) ,26

           - HW2 due on Wed, Aug 15 (solution)
                   2.3: 2*
                   2.4: 2*,3,4,7*,8*
                   2.5: 1*,2*,3,4,8*,12* (I'm goin to mention about #8 and #12 on Monday)
                   2.6: 1*,2*,4,10*,15*19,23,

           - Suggested problems for midterm 1
                   2.6: 15,16, 25, 26 (solution)


           - HW3 due on Wed, Aug 22 (solution)
                   2.7: 11*, 12*
                   2.8: 3*,4* ---> part (a) and(c)
                   3.1: 1*,3,5*,9*,12,13*,20
                   3.2: 7*,8,11*

           - HW4 due on Fri, Aug 24 (solution)
                   3.2: 1*,3, 5*, 13, 14*, 23*, 24*
                   3.3: 1*,5*,7*,10*,13,15*,16,20*
                   3.4: 3*,7*,12,17,19,22


           - HW 5 due on Wed, Aug 29 (solution)
                 3.5: 1*,4,11*, 24*, 26* (Hint for # 24 : Euler-Cauchy equation)
   3.6: 1*,2*,7*, 6*(Try #6 after Tuesday's class)
   3.7: 1*,3*,7*


   - Suggested problems for sec. 3.7 ~ sec 6.1 for midterm 2 (selected solution)
                   3.7: 13,15,16
                   3.8: 7,10,12 ---> You'll be asked only to obtain differential equations and initial values
                   6.1: 5,6,11,13,14,15 (We'll finish sec 6.1 on Thursday(Aug 30).)

           - HW 6 due on Thu, Sep 6 (solution)
   6.2: 1*,3,5*,7,11*,14,21*

           - HW 7 due on Mon, Sep 10 (solution)
                   7.1: 1*,2,5*
   7.2: 11,13
                   7.3: 7,15*,21*
                   7.4: 6*,7

           - HW 8 due on Wed, Sep 12 (selected solution)
                   7.5: 1*,3,5*,11*,15*,19,20 (For #1,#5 draw only a few trajectories like Figure 7.5.2(a))
                   7.6: 2*,7*,9* (For #2 skip "a direction field")
                   7.7: 3,11*

           - Suggested problems for sec 7.8 and 7.9
                   7.8: 1,3,5,7
                   7.9: 1,5,7

           **ANNOUNCEMENT for the final**
              The followings are going to be on the final.
                 - one question from Midterm 1 and practice midterm 1
                 - one question from Midterm 2 and practice midterm 2
                 - To solve IVP using Laplace transform
                      (You need to know the Laplace transforms of four functions I mentioned in class
   and the Laplace transforms of the functions by multiplied by e^{at}
                 - To convert an nth-order eq. to a system of eqns.
                 - general solutions of homogeneous linear eqns with constant coefficients (three cases)
                 - trajectories of solutions and the behaviour of solutions as t goes to infinity
   - IVP using fundamental matrix
   - Nonhomogeneous linear system
                 - And a bonus problem

Exam

           - Midterm 1: Friday, Aug 17 (in class)
                -Here is the midterm of 22b, summer session 1. Try some questions for our coverage ( ~ sec. 2.6)
                -Practice midterm (solution)
                -Midterm solution

           - Midterm 2: Friday, Aug 31 (in class) (Sec. 3.1 ~ 3.9 and Sec. 6.1)
                - previous midterm (summer session 1)
                - Practice midterm (solution)
                - Midterm 2 solution

           - Final: Friday, Sep 14(in class)
                - 10 %(one question) from Midterm 1 and practice midterm 1
- 10 %(one question) from Midterm 2 and practice midterm 2
                - 80 % from material after midterm 2 (sec.6.2 and sec 7.1~7.9)
                - Practice final (solution)

                The final is cumulative but will have an emphasis on the material after the midterms.
                   There will be no make-up exams except for family or health emergencies with documentation.

Advice

                This is a 6-week intensive course equivalent to a regular 10-week course, so we will be flying quickly!(You will have
         an exam every other week.) I suggest that you spend a minimum of 2 hours outside of class after each session.
   Understand the material and then practice problems. Homework problems will be chosen for your practice.
             To read a math book and understand it is not enough in studying mathematics. You should use your pen (or pencil)!