MATH 215/255-- Elementary Differential Equations I/Ordinary Differential Equations

Session: 2013 Summer Term



  Notes of the lectures are uploaded here


GRADING:  Your final grade will be based on your Midterm Exam (30%) and  Final Exam (50%) and your Homeworks and Quizzes (20%).

The Midterm Exam is scheduled on  June 5th in class. No notes, books or calculators will be allowed during the Midterm and the Final.

There will be 5 weekly Homework Assignments. Out of those 3 have to be turned in on May 22nd (assignment #1), June 7th (assignment #3) and on June 19th (assignment #5).

There will be two Quizzes scheduled on May 29th (from assignment #2) and on June 13th (from assignment #4). Some of the Homework assignments and the Quizzes will be graded and handed back a week later. Please keep in mind the dates!

Policies:
Missing the Midterm or a Homework Assignment/Quiz will normally result in a mark of zero. Exceptions may be granted in two cases: prior consent of the instructor or a medical emergency. In the latter case, the instructor must be notified as soon as possible (preferably before the test), and presented with a doctorís note immediately upon the studentís return to UBC.


Homework Assigments

Problem Assignments listed below are due each week at the beginning of the Wednesday class unless a Quiz is scheduled on that week.
Some (but not all) of the problems handed-in will be marked and handed back. You have to show all the work in order to get full credit.

 1. Week of May 13th:

Reading: : Sections 1.2-1.3, 2.1-2.2, 2.4, 2.6
Homework Problems:
p.15: 7, 8, 12; 
p.24: 18, 20. 
p.47: 1, 6, 9, 32(b)
p.39: 3(c), 8(c), 16, 30
p.75: 1,3,28
p.99: 1, 2, 13, 15, 

Due: May. 22nd

 2. Week of May 20th:

Reading: Sections 2.3 2.5, 3.1, 3.3, 3.2
Homework Problems:
p.59: 2, 4, 16, 18b, 23a-c
p.88: 3, 5, 15, 20 a-c, 22, 
p.144: 1, 9, 13, 17, 23
p.163: 2, 7, 17, 25a-c
p.155: 1, 2, 12, 13, 26

Quiz #1: May 29th



3. Week of May 27th

Reading: : Sections: 3.4, 3.6, 3.7, 6.1-6.2
Homework Problems:
p.171: 1, 14, 23
p.189: 3, 8, 15, 17
p.202:
3, 11, 17, 24
p.311: 5, 6, 15

Due: June 10th

4. Week of June 3rd

Reading: : Sections: 6.3, 6.4, 7.5, 7.6,
Homework Problems:
p.320: 3, 10, 12, 23
p.329: 8, 9, 15, 21
p.336: 6, 7, 9 (for part (b) you can use a graphing calculator)
p.398: 1(a), 4(a), 15, 24, 26

Midterm Exam: June 7th 1-2pm

Quiz #2: June 14th

5. Week of June 10th:

Reading: : Sections 7.7, 7.8-7.9, 9.1
Homework Problems:

p.409: 2, 6, 14  (you don't have to sketch the direction field, just the phase portrait),
p.428: 2(b)(c), 8
p.494:
2, 3, 6 (only parts (a) (b) (c) only the phase portraits, don't have to sketch x_1 versus t), 14

Due: June 19th (Wed.)

 6. Week of June 17th:

Reading: Sections: 9.2, 9.3, 9.4 (in part)
Homework Problems:


p.506: 2, 4, 6, 21, 24
p.516: 7, 9, 13 (in part (d) try to connect the local phase portraits near the critical points to get the "global" phase portrait of the system)

NOTE: You don't have to turn in this set of problems, but it is important to try to do all of them as preparation for the Final. I will upload the solutions.

 Final Exam: June 25th, 12-2:30pm, Buch. A101.


Further information/resources