Introduction to Differential Equations Spring 2023)

(Math 305, MWF 8:00-8:50PM, EGRA 220)

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Announcements:

1.     Methods of integration (Answer).

 

2.     Integration problems (Answer)

 

3.     Partial Derivatives

 

4.     How to solve linear equations

 

5.     How to solve separable equations

 

6.     How to solve exact equations

 

7.     How to solve Bernoulli equations

 

8.     How to make assumptions for a particular solution

 

9.     Turtoring session: Monday - Thursday from 5-9 p.m in Lib 680 (tutors and computers)

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Z:\www\yellowdot.gifInstructor:  Dr. Dashun Xu

Office: 273 Neckers Hall A Wing
Office Hours: MWF 12:50-2:50pm or by appointment, 8:50am-9:20am

E-mail: dashunxu@siu.edu Phone: 453-6512

Zoom meeting room: 222 336 4190

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All assignments will be collected every Friday in class and only a few questions in each assignment will be graded. Late homework will not be accepted. The followings are problems assigned last time. I will update these problems after each class meeting. Please make sure to refresh the webpage

Date

Homework

 Week 1

 

 

 Week 2

1.3: 1-6, 8, 9;;

2.1: find the general sol. to 1,3,5,7, 8

2.1: (find the general solutions, i.e. part c ) 9,11, 13, 15, 17, 19;;

Due on Fri.

 

Please donot forget to staple your homework sheets together.

 

This webpage is updated according to the lecture pace in the afternoon (after 2pm) on MWF. That is, you can get all HW due on each Fri till Wed after class. 

 Week 3

2.1: 8, 20;

2..2: 1, 2, 5, 6, 7, 13(a,c),

2.2: find the solution to 14, 22;

2.6: 2, 3, 4, 5,

 

HW due on Fri.

Week 4

 

2.6: 7, 8,

2.6: 9, 13, 14 (find the solution);

2.6: 18, 21; 22,

2.6: 25, 26, 27, 28, 30;

 

Practice exam 1 (for you to review Chap 2)

 

HW due on Fri.

Week 5

 

2.4:  2, 5, 7,

2.4: 11, 28, 29, 30, 31

 

2.5: 3, 4, 7, 10

 

 

HW due on Fri.

 

Please use the 10th edition of the testbook to do the homework problems. Otherwise, be marked wrong!

 

 

Week 6

3.1: 1, 3, 9, 13, 15, 20

 

 

Exam on Fri!!!

 

Due on Fri.

 

Collect Announcements 1, 2, 3 (separate from HW)!!!

 

Week 7

3.2:   9,  13, Optional: 3, 5, 11, 26

 

 

3.3: 7, 11, 17, 20, 21 Optional 9, 12, 15, 19

 

 

Since some student complained that there are too many homework problems, I moved some to optional. I still strongly recommend you to do all if possible.

 

Due on Fri.

Week 8

 

3.4: 7, 9, 11, 13, 23, 27, 29, Optional: 12, 25, 28, 30,

 

3.3: 21

 

 

3.5: 1, 5,

3.5: 21(a, donot solve), 22a,

 

 

Practice for Chap3

Week 9

3.5: 3, 7, 9,

3.5: 16, 17, 23a, 25a, 27a; Optional: 6, 8, 10, 18, 19

 

3.6: 5, 7,  13, 17, optional: 3, 4, 14, 16, 18

 

 

Due on Fri.

Week 10

 

4.1: optional: 14, 15, 16

 

4.2: 11, 14, 22, 31, find solution to IVP: 32; optional: 13, 16, 18, 19, 24, 35

 

Week 11

4.2: 17, find solution to IVP: 29

 

4.3: 2, 3, 6, 9,

4.3: 13, 15, 16, 17, Optional: 1, 10, 12, 14, 16, 18

 

Practice for Chap4

 

HW due on Fri.

Week 12

4.4: 2, 3, 9

10.1: 1, 3, 4

10.1: 14, 16, 18 Optional: 2, 5,

 

 

 

Homework due on Fri.

Currently

Week 13

 

10.2: 13, 15

HW due also on Fri.

 

 

Second Exam on Fri!!!

Covering Chap3, 4, and 10.1.

 

Week 14

 

10.2: 14, 16

10.3: 1, 2, 3,

10.3: 7a, 9a, 11a

 

 

 

Due on Fri

 

 

10.4: 7, 8, 9, 15, 16, 24(a,b)

 10.5: 1, 2, 5, 6,

 

 

Optional: 10.5: 7, 8 after watching the video for 10.5.

 

Week 15

 

Practice for the final:

Midterm exams and their practice exams, homework problems for Chap10.210.5

 

 

Final exam: Thur. 8am, May 11

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Find at least one or two other students from the class with whom you can regularly do homework and prepare for exams. Your classmates are perhaps the least used and arguably your best resource. An efficient and effective study group will streamline homework and study time and greatly improve your written and spoken communication. The best time to use your classmates as study/homework partners is after you have made an honest effort on your own to solve the problems using your own wits, knowledge, and experience. When you encounter an unsolvable problem, don't give up too soon on it. Being stumped is an opportunity for mathematical growth and insight, even if you never solve the problem on your own. If you seek help prematurely, you will never know if you could have solved a tough problem without outside assistance.

 

 

 


                                    Last modified 1/14, 2023 by Dashun Xu..