Math 334 A1: Introduction to Differential Equations (Fall 2011)

Course Calendar
Instructor / Office / Phone #
 Xinwei Yu / 527 CAB / (780)4925731
Email / Webpage
 xinwei.yu@gmail.com / http://www.math.ualberta.ca/~xinweiyu
Location / Time / Office Hours
 DP 6069 / MWF 12pm - 12:50pm / M 1pm - 3pm; F 10:30am - 11:30am or by appointment


Exams Information

 NEW! Laplace Transform Table (Will be provided in the final)

Know Where You Are After Two Midterms
Raw grades listing from High to Low; (Colored according to the percentage below: A, B, C, D&F; Only the 63 who took both midterms are listed here.)
UofA Suggested Percentage for 3rd Year Courses: A: 29%; B: 48%; C: 19%; D: 3%; F: 1%;
Note: The final grades may deviate slightly from the above suggestions due to overall performance of the whole class;
Note: A includes A+,A,A-, B includes B+,B,B-, etc.

Midterm 2 Statistics:

Total taking exam: 63; High: 97; Low: 23.


 Problem 1
 Problem 2
 Problem 3
 Problem 4
 Problem 5
 Problem 6
 Overall
Average
 26.77
 16.12
 9.29
 12.19
 13.92
 0.19
 78.49
Median
 30
 20
 13
 15
 15
 0
 85
Standard Deviation
 5.96
 5.33
 6.10
 4.56
 2.55
 0.56
 17.55


Midterm 1 Statistics:

Total taking exam: 67; High: 96; Low: 45.


 Problem 1
 Problem 2
 Problem 3
 Problem 4
 Problem 5
 Problem 6
 Overall
Average
 22
 24
 12
 8.4
 2.7
 0.3
 69.1
Median
 25
 25
 13
 8
 2
 0
 69
Standard Deviation
 5.4
 1.9
 2.6
 4.5
 3.3
 0.6
 10.8

Know where you are:

Raw grades listing from High to Low; (Colored according to the percentage below: A, B, C, D&F)
UofA Suggested Percentage for 3rd Year Courses: A: 29%; B: 48%; C: 19%; D: 3%; F: 1%;
Note: The final grades may deviate slightly from the above suggestions due to overall performance of the whole class;
Note: A includes A+,A,A-, B includes B+,B,B-, etc.

Course Information
Important dates
  • Midterms (temporary): Friday Oct. 7, 2011; Wednesday Nov. 9, 2011. Both in class.
  • Final: Thursday Dec. 15, 2011; 2pm-4pm;
  • Deferred exam: 9AM Saturday, 14 January 2012 in CAB 528 (the old library).
Download course syllabus.

Course Material

Chapter 2 (p.132)
  • Basic: 1-32 except the following.
  • Inter: 4, 13, 15,  20,
  • Adv: 10, 31,
  • Cha: 26-30, 32.


 

Week
 Lecture Notes (Sections
in textbook)
 		Homeworks
(Solutions)
 Practice Problems
1 (Sept. 7-9)
 Homework 1
(Solution)
Quiz 1 Summary
  • Basic: 1.3 1--20
2 (Sept. 12 - 16)
 Homework 2
(Solution)
Quiz 2 Summary
Basic
2.6:
1-12,15,19-22

2.1:
13-20

2.2:
1-8,
Inter
2.6:
25-32
Adv
2.6:
17,23,24

2.1:
30, 31

2.2:
31-38
Cha
 2.1:
32, 33
3 (Sept. 19 - 23)
 Homework 3
(Solution)
Quiz 3 Summary
Basic
2.8:
1,2,
Inter
 3.2:
1-6,19,
Adv
2.4:
1-6, 23-31

3.2:
13-15,21,29-32
Cha
2.8:
13-19

2.4:
13-16,21,22

3.2:
7-12,16,33,36,38-40
4 (Sept. 26 - 30)
 Homework 4
(Solution)
Quiz 4 Summary
Basic 3.1:
1-16

3.3:
1-16

3.4:
1-14
Inter
 3.1:
17, 18

3.3:
27, 29-31,

3.5:
1-18
Adv
 3.1:
21-24

3.3:
28, 32
Cha
 3.3:
33

3.4:
19
Note: "Sketch" part not required!
5 (Oct. 3 - 7)
 Homework 5
(Solution)
Quiz 5 Summary
Inter
3.6:
1-10, 13-20
Adv
3.4:
23-28, 31-37

3.6:
21-23, 28-32

4.1:
7-10, 17

4.2:
1-24, 29-36 (No graph)
(Note change: 25-28 not required anymore!)
Cha
4,1:
20, 25, 26-28
6 (Oct. 12 - 14)
 Homework 6
(Solution)
 Adv: 4.3 1--18.
7 (Oct. 17 - 21)
 Homework 7
(Solution)
Basic
5.1:
1-7, 9-17, 19-27

5.2:
1-14, 15-18( (a) only), 19, 20
Inter
 5.1:
8, 18, 28

8 (Oct. 24 - 28)
 Homework 8
(Solution)
Basic
5.4:
1-34(No graphs); 41, 42
Inter
5.3:
1-9

5.4:
35 - 40
Adv
5.3:
10 - 14

5.5:
1 - 14

5.6:
1 - 12
Cha
5.3:
15, 27, 28

5.5:
15, 16

5.6:
18, 20, 21
9 (Oct. 31 - Nov. 4)
Basic
6.1:
1-4 (Only Graph); 5 - 24

6.2:
1-23

6.3:
1-24
Inter
6.1:
26, 27
Adv
6.1:
25

6.2:
37, 38

6.3:
25, 34
10 (Nov. 7 - 9)
 Homework 9
(Solution)
11 (Nov. 14 - 18)
 Homework 10 (Solution)
Basic
6.3:
1-18
Inter
6.3:
19-24

6.4:
1-13

6.5:
1-12
Adv
6.3:
25, 34
Cha
6.5:
16
12 (Nov. 21 - 25)
 Homework 11 (Solution)
Basic
7.1:
1-12, 15, 16

7.2:
1-9
Inter
6.6:
2-11, 13-20

7.2:
20-26

7.3:
16-25
Adv
6.6:
1, 12

7.1:
14

7.4:
5-9
Cha
7.4:
2-4
13 (Nov. 28 - Dec. 2)
 Homework 12
(Will be posted Dec. 5)

(Solution)
(Will be posted Dec. 7)
Inter
7.5:
1-6, 9-18

7.6:
1-10

7.8:
6
Adv
7.7:
1-10 (Just compute exp(At))

7.8:
1-5, 7-10, 19-21.
Cha
7.5:
19 - 23

7.7:
18

7.8:
15, 17, 18
Note: In all the above problems, "discussion ... as t->\infty" and "... plot ..." are not required.
14 (Dec. 5 - 7)


Useful Stuff

  • Encyclopedic Differential Equation Website: Equation World.
  • Khan Academy: Differential equations;
  • MIT Open Courses: Differential equations;
  • Other online videos that you may find helpful:
  • Other online resources:
  • Wolfram Alpha: Play with it and get comfortable facing differential equations!

    Need help to start? Type 
    • what is cosh(x) (then "enter" of course), or
    • differentiate cosh(x), or
    • solve y'' + y = 0, or
    • ...