MA 226 Differential Equations

MA 226 - Differential Equations

Course Information

Lecturer: Ryan Goh
Lectures: Tuesday, Thursday, 9:30-10:45 am; CGS 505
Office Hours : CDS 423, Monday 10:30-11:30a (priority for my other class);
Tuesday 1:45-3:15p (priority MA 226);
Wednesday 2-3:30p (equal priority);

or by appointment, please provide your availability when requesting an appointment.

Syllabus page here
Textbook: "Differential Equations," 4th edition, by Blanchard, Devaney, Hall, Second Edition. A link to the textbook can be found here.
It will helpful to have a copy of the DE tools software that comes with the textbook, this can be downloaded for free on the publishers website . Note you will need Java runtime software (v8) to run this software. Amazon Coretto 8 seems to work as well

Course Announcements
Update: Any important updates will be posted on the course campuswire page.
Homework
All assignments must be uploaded via the Gradescope application which can be accessed in Blackboard under the tab "Homework Turn-In." See these links for guidelines and an example of a homework solution. Problems only listed in the "Assignment" category should be turned in. Homeworks are due each Thursday at 9am.

See the aforementioned guideline document for how to compose your homeworks and submit them. There you will also find links on how to scan/upload and submit them using Gradescope.

Due Date Reading Assignment Suggested problems

9/7 HW 1: On a piece of paper, write out what you hope to get out of this class and how you wish to use it going forward, then scan and submit it via Gradescope. This will help me calibrate lectures and help you get acquainted with Gradescope. Any assigment uploaded by the due date will be given full credit.

9/14 HW 2: Section 1.1, 1.2 Pg. 14-18 #5,6,7 ;
Pg. 33-36 #2, 6, 28,
Pg. 14-17 #2,4,12;
Pg. 33-36 #1,13,17,25,28,35,37,39,40;

9/21 HW 3: Section 1.3,1.4, 1.5 Pg. 47-51 #10,13,14;
Pg 61-63 #6,11 (note: a spreadsheet which runs Euler's method, for two example diff. eq.s can be found here in Excel format and in Mac Numbers format );
Pg. 72-73 #11, 16; Pg. 33-36
Pg. 47-51 #2,6,7,9,16,19;
Pg 61-63 #2,3,10,17;
Pg. 72-73 #1,5-8, 13,14,18;

9/28 HW 4: Section 1.6,1.7 Pg. 89 - 93 #4,16,26,32;
Pg.106 -107 #2, 4;
Pg. 89-93 #1,2,7,9,21,28,29,31,33,36, 39;
Pg 106-107 #2,7,9, 13,15;

10/5 HW 5: Section 1.7, 1.8,1.9 Pg. 106 - 108 #11,19 ;
Pg. 121 - 124 #4,12,17 ;
Pg. 133 - 134 #4,10; Pg. 106 - 108 # 9,12, 13,15,18,19;
Pg. 121 - 124 #2, 6, 7,9,11,16, 19-22,25,29;
Pg. 133 - 134 #1,6,9,10;

10/19 HW 6: Section 2.1, 2.2 Pg. 161 - 166 #1,4,8,20;
Pg. 178 - 183 #6,8
Pg. 161 - 166 #1-4,7,9,15,16,20,21,22,23,24;
Pg. 178 - 183 #1-6,7,10,11,15,19;

10/26 HW 7: Section 2,2, 2.3-2.6 Pg. 178 - 183 #16
Pg. 187-188 #6,7,
Pg. 194-195 #2, 13;
Pg. 202-204 #2; An apple/mac spreadsheet which runs Euler's method for a 2D-system can be found here, and an Excel version here
Pg. 187-188 #8,9
Pg. 194-195 #5,7, 9,13;
Pg. 202-204 #4,6;

11/2 HW 8: Section 2.6,2.7, Chapter 2 Review Pg. 208-209 #3,4,5;
Pg. 214-216 #7,8;
Pg. 224 - 228 #19,24;
Pg. 208-209 #1,9,11; Pg. 214-216 #6,9-10;
Pg. 224 - 228 as many problems as you have time for!

11/9, HW 9: Section 3.1 - 3.3 Pg. 258-264 10, 24;
Pg. 277-280 2,6,16,19, ;
Pg. 293- 296 2,4; Pg. 258-264 1-4,6-8,12,15,17, 20-23,25, 26,31,33,34,35;
Pg. 277-280 1-8,11,14,17,18, 21,23;
Pg. 293-296 1-9,12;27

11/16, HW 10: Section 3.3,3.4,3.5,3.7 Pg. 295-296 20
Pg. 310-314 4,6,10,12,
Pg. 327-330 2,6
Pg. 358-360 4
Pg. 295-296 19,
Pg. 310-314 1,3,5,7,9,11,13,15,19,21, 23
Pg. 327-330 4,8,10-13,16,17-19,20-23
Pg. 358-360 3,9,10,12,13

12/9 HW 11: Section 5.1,5.2 Pg.472-477 4,6,8, 20
Pg 487 - 490 2, 6,
Pg.472-477 1,11,13,17,22
Pg 487 - 490 1,3,5,6,13,21,22

12/9 HW 12: Section 3.6, 4.1,4.2,4.3 This assignment is for you to get practice with Ch. 4 material and does not need to be turned in. All solutions are in the back of the book. Pg. 342-346 13, 15
Pg. 399-402 13,15,
Pg. 412-414 13,15
Pg. 424-426 11,15,21

Midterm and Final information
There will be two midterms during the semester. They will be held during lecture, in the regular location, on Thursday,October 5th and Thursday November, 16th. Logistics of each exam will be discussed during class.
The tentative date for the final exam listed in the standard exam matrix is Tuesday, December 19th at 9:00am-11:00 am, in the normal lecture location. No early finals will be given and please plan your end-of-semester travel accordingly.
Grades
Your course grade will assigned as follows
Homework scores (15%) - two lowest scores dropped

Quizzes (10%) - two lowest scores dropped,

Midterm 1 (20%)

Midterm 2 (25%)

Final exam (30%)

Last Modified
The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by Boston University.

Due Date	Reading	Assignment	Suggested problems
9/7	HW 1:	On a piece of paper, write out what you hope to get out of this class and how you wish to use it going forward, then scan and submit it via Gradescope. This will help me calibrate lectures and help you get acquainted with Gradescope. Any assigment uploaded by the due date will be given full credit.
9/14	HW 2: Section 1.1, 1.2	Pg. 14-18 #5,6,7 ; Pg. 33-36 #2, 6, 28,	Pg. 14-17 #2,4,12; Pg. 33-36 #1,13,17,25,28,35,37,39,40;
9/21	HW 3: Section 1.3,1.4, 1.5	Pg. 47-51 #10,13,14; Pg 61-63 #6,11 (note: a spreadsheet which runs Euler's method, for two example diff. eq.s can be found here in Excel format and in Mac Numbers format ); Pg. 72-73 #11, 16;	Pg. 33-36 Pg. 47-51 #2,6,7,9,16,19; Pg 61-63 #2,3,10,17; Pg. 72-73 #1,5-8, 13,14,18;
9/28	HW 4: Section 1.6,1.7	Pg. 89 - 93 #4,16,26,32; Pg.106 -107 #2, 4;	Pg. 89-93 #1,2,7,9,21,28,29,31,33,36, 39; Pg 106-107 #2,7,9, 13,15;
10/5	HW 5: Section 1.7, 1.8,1.9	Pg. 106 - 108 #11,19 ; Pg. 121 - 124 #4,12,17 ; Pg. 133 - 134 #4,10;	Pg. 106 - 108 # 9,12, 13,15,18,19; Pg. 121 - 124 #2, 6, 7,9,11,16, 19-22,25,29; Pg. 133 - 134 #1,6,9,10;
10/19	HW 6: Section 2.1, 2.2	Pg. 161 - 166 #1,4,8,20; Pg. 178 - 183 #6,8	Pg. 161 - 166 #1-4,7,9,15,16,20,21,22,23,24; Pg. 178 - 183 #1-6,7,10,11,15,19;
10/26	HW 7: Section 2,2, 2.3-2.6	Pg. 178 - 183 #16 Pg. 187-188 #6,7, Pg. 194-195 #2, 13; Pg. 202-204 #2; An apple/mac spreadsheet which runs Euler's method for a 2D-system can be found here, and an Excel version here	Pg. 187-188 #8,9 Pg. 194-195 #5,7, 9,13; Pg. 202-204 #4,6;
11/2	HW 8: Section 2.6,2.7, Chapter 2 Review	Pg. 208-209 #3,4,5; Pg. 214-216 #7,8; Pg. 224 - 228 #19,24;	Pg. 208-209 #1,9,11; Pg. 214-216 #6,9-10; Pg. 224 - 228 as many problems as you have time for!
11/9,	HW 9: Section 3.1 - 3.3	Pg. 258-264 10, 24; Pg. 277-280 2,6,16,19, ; Pg. 293- 296 2,4;	Pg. 258-264 1-4,6-8,12,15,17, 20-23,25, 26,31,33,34,35; Pg. 277-280 1-8,11,14,17,18, 21,23; Pg. 293-296 1-9,12;27
11/16,	HW 10: Section 3.3,3.4,3.5,3.7	Pg. 295-296 20 Pg. 310-314 4,6,10,12, Pg. 327-330 2,6 Pg. 358-360 4	Pg. 295-296 19, Pg. 310-314 1,3,5,7,9,11,13,15,19,21, 23 Pg. 327-330 4,8,10-13,16,17-19,20-23 Pg. 358-360 3,9,10,12,13
12/9	HW 11: Section 5.1,5.2	Pg.472-477 4,6,8, 20 Pg 487 - 490 2, 6,	Pg.472-477 1,11,13,17,22 Pg 487 - 490 1,3,5,6,13,21,22
12/9	HW 12: Section 3.6, 4.1,4.2,4.3	This assignment is for you to get practice with Ch. 4 material and does not need to be turned in. All solutions are in the back of the book.	Pg. 342-346 13, 15 Pg. 399-402 13,15, Pg. 412-414 13,15 Pg. 424-426 11,15,21