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 |
ETLE1 007/
MWF 2pm - 2:50pm / MWF 12:30pm-1:30pm or by appointment |

Course Information

Important
dates.

- Midterm: Saturday Mar. 5, 2011 1pm

- Final: Friday Apr. 15,
2011 9am

- Deferred exam: Saturday May 7, 2011 (Requires approval from your Faculty Office).

Topics |
Prerequisites |
Lecture Notes* |

How to do
well; Introduction |
Differentiation & Symbols |
How to do well (Draft); Introduction (Draft) |

Solving 1st
order ODEs |
Integration & "d" |
Solving 1st order ODEs (Draft) |

Solving 2nd
and higher order linear ODEs |
Complex Numbers & Algebraic Equations |
Solving 2nd order ODEs (Draft) |

Series
solutions |
Manipulating
Infinite Sums |
Series
Solutions (Draft) |

Laplace
transform method |
Partial
Fractions & Integration by Parts** |
Method of
Laplace Transform (Draft) |

Partial
Differential Equations |
Partial Differential Equations (Updated Apr.4, 2011) |

*: Instead of printing the notes out, you are encouraged to use mobile devices to read them.

**: Please check out the following MIT Open Courseware videos:

- Partial
Fractions; Advanced
Partial
Fractions; Integration
by
Parts;

- (For those who prefer the old TV programs styles): Partial
Fractions (32'28''); Integration
by
Parts (27'00'').

Homework(Solution)s:

HW1 (Sol); HW2 (w. Sol); HW3(Sol);
HW4(w.Sol); Prob.21 of HW4; HW5(w.Sol); HW6(w.sol); HW7(w.sol);
HW8(w sol) (Correction to Prob.14) (Sol w. alternative method); HW9 (Sol); HW10(w.Sol); HW11(w.Sol)

Midterm Related:

Midterm Info Midterm Review Info (Sol to 1st Exam; Sol to 2nd Exam)

- Midterm Solutions: White, Yellow, Pink

- Midterm Grades & Statistics

- Average of all 6 sections: 57% (36.48 out of 64)

Final Related:

Final & Final Review Info; Final Info

Review Solutions: 1st Exam MC; 1st Exam LA; 2nd Exam (More LAs)

Review Solutions: 1st Exam MC; 1st Exam LA; 2nd Exam (More LAs)

- Encyclopedic Differential
Equation Website: Equation
World.

- Khan Academy: Differential
equations;

- MIT Open Courses: Differential
equations;

- Other online videos that you may find helpful:

- Wolfram
Course
Assistants. (Iphone/Itouch/Ipad Apps, not free though)

- Khan Academy: Linear algebra, Calculus,
- MIT 18.01 SC Single
variable
calculus.

- MIT 18.02 Multivariable calculus: Video
lectures;

- MIT 18.06 Linear algebra: Video lectures;
- Other online resources:

- Slope field plotter: http://www.math.rutgers.edu/~sontag/JODE/JOdeApplet.html.

- Paul's online Math notes: http://tutorial.math.lamar.edu/
(Calculus I/II/III, Linear Algebra, DE)

- 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
- ...