Introduction to Differential Equations (Fall 2024)

(Math 305, MWF 8:00-8:50AM, 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.     Tutoring session: ???

Instructor:  Dr. Dashun Xu

Office: 273 Neckers Hall A Wing
Office Hours: MW 8:50-9:55am, 10:50pm-11:50am, F: 8:50-9:55am, Th: 2-2:55pm, or by appointment

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

 Syllabus (Attachment for more useful webpage and dates)

 Textbook: Elementary Differential Equations & Boundary Value Problems, by Boyce and  DiPrima 10th ed

 Grading scale:

Grading Scale

90   A

80   B

70   C

60   D

59   F

                                     Grades

Midterm exams

35

Homework

25

Final

32

Attendance (deduct 1 point per missed class meeting)

8

 

 Important dates

 

Semester Classes Begin

Tuesday, January 16

Last Day to Register

Sunday, January 21

Last Day to drop w/ Reg. Office

Friday, January 26

Last Day to Drop with Refund

Sunday, January 28

Spring Break

Sat, March 9-Sun, March 17

Last Day to Drop w/o Refund

Friday, March 29

Total Solar Eclipse

(Classes Cancelled)

Monday, April 8

Final Examinations

Mon, May 6-Fri, May 10

Commencement

Saturday, May 11

 

Homework:

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

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

 Week 2

 

Odd numbered 1, 3, 5,… 19 in Announcement 2

 

1.3: 1-6, 8, 9;;

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

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

 

2.2: 1, 2, 3, 5, 7,

Due on Fri.

 

Please donot forget to staple your homework sheets together.

 

This webpage is updated according to the lecture pace on MWF. That is, you have to refresh this webpage to updated homework list. 

 Week 3

 

Odd numbered 1, 3, 5,… 14 in Announcement 3

 

2.1: 17, 19;;

2.2: 13(a,c), 22;

2.9: 4, 10, 13

2.6: 3, 11, 13, 15

 

Week 4

 

2.6:9, 14 (find the solution);

2.6: (optional: 21; 22,)

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

 

2.4:  2, 5, 7, 11

2.4:  28, 29, 30, 31

 

Practice exam 1 (for you to review Chap 2)

 

HW due on Fri.

Week 5

 

 

2.5: 3, 4, 7, 10

 

 

HW due on Fri.

 

Exam 1 on Fri in Week 6.

Please review Chap1 and 2, and do the practice exam.

 

 

Week 6

3.1: 1, 3, 9, 13, 15, 20

3.2:   9,  13, Optional: 3, 5, 11, 26

 

 

Exam 1 on Fri!!!

 

HW also due on Fri.

 

Week 7

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

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

 

 

If possible, I still strongly recommend you to do all problems.

 

Due on Fri.

Week 8

 

3.5: 1, 3,  16, 18

 

 

 

 

Practice for Chap3

Week 9

3.5: 5.  7,  9, , 17,

3.5: 21(a, donot solve),  22a, 23(a), 24(a), 25(a)

 

3.5: Optional: 6, 8, 10, 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, 16, 18, 20, 22, find solution to IVP: 31; optional: 13, 18, 19, 24, 35

 

 Week 11

4.2: 17, 19, 23, 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, Optional: 2, 5,

 

 

 

Homework due on Fri.

 

Please do the practice for chap3 and 4. I will check it in next Mon’s class.

 

Week 13

10.1: 18

 

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 Chap10.2—10.5

 

 

Final exam:

Study Hint:

 

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 8/15, 2023 by Dashun Xu..