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

Session: 2014 Summer Term



  Notes of the lectures will be 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 6th 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 21st (assignment #1), June 2nd (assignment #3) and on June 18th (assignment #5).

There will be two Quizzes scheduled on May 28th (from assignment #2) and on June 11th (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 Assignments

Problem Assignments listed below are due each week at the beginning of the Wednesday class (except the one on  June 2nd) 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 12th:

Reading: : Sections 1.2-1.3, 2.1-2.2, 2.4, 2.6
Homework Problems:
p.16: 7, 8, 12; 
p.25: 18, 20. 
p.48: 1, 6, 9, 32(b)(c)
p.39: 3(c), 8(c), 16, 30
p.75: 1,3,28
p.101: 1, 2, 13, 15, 

Due: May. 21st

 2. Week of May 19th:

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 28th



3. Week of May 26th

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

Due: June 2nd

4. Week of June 2nd

Reading: : Sections: 6.1-6.3, 6.4, 7.5, 7.6,
Homework Problems:

p.311: 5, 6, 15
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 6th 1-2pm

Quiz #2: June 11th

5. Week of June 9th:

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 18th (Wed.)

 6. Week of June 16th:

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 26th, 7-9:30pm,


Further information/resources