numerical analysis ee, ncku tien-hao chang (darby chang)

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Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

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Page 1: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Numerical AnalysisEE, NCKU

Tien-Hao Chang (Darby Chang)

Page 2: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

TodayQuestions& Answers

Page 3: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Q1How long is today’s class?

Page 4: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Soon

Page 5: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Q2 Is there any exams?

Page 6: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

You got 1

http://static.flickr.com/120/303360265_9980964d0c.jpg

Page 7: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

 Previously, there were 2

http://static.flickr.com/120/303360265_9980964d0c.jpg

Page 8: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

The second exam

http://static.flickr.com/120/303360265_9980964d0c.jpg

Page 9: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

BecomeA programming project

Page 10: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Q3Is there any exercise?

Page 11: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Yes!Unfortunately, and …

Page 12: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

You got a lot

http://www.cgmh.org.tw/intr/intr4/c8ac0/images/babys.jpg

Page 13: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

How many?1 exercise every 2-3 weeks

Page 14: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

That’s it1 exam

1 project1 exercise every 2-3 weeks

Page 15: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

冏 rz

Page 16: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Any Questions?

Page 17: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

RememberYou are welcome to interrupt me, anytime!

Page 18: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Q4 Requirements?

Page 19: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Mathematics (senior high)Programming

Page 20: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Some examples

Page 21: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Simple pendulum

http://en.wikipedia.org/wiki/Conical_pendulum

Page 22: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

When the mass is negligible andthe air resistance is negligible

�̈�+𝜔2𝜃=0

Page 23: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Constant coefficient,analytical solution,

NOT target!

�̈�+𝜔2𝜃=0

Page 24: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Consider air resistance

�̈�+𝑏 �̇�𝜔2sin 𝜃=0

Page 25: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

The hateful sine term

𝜔2 sin𝜃

Page 26: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Analytical method becomes useless

�̈�+𝑏 �̇�𝜔2sin 𝜃=0

Page 27: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Q5What is numerical method?

Page 28: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Bisection method

http://upload.wikimedia.org/wikipedia/commons/c/c2/Bisection_method.png

Page 29: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Q6 Textbook?

Page 30: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

A Friendly Introduction to Numerical Analysis

http://images.pearsoned-ema.com/jpeg/large/9780131911710.jpg

Page 31: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

TextbookNot necessary

Page 32: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Q7How to get information about this class?

Page 33: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Contact [email protected]

Office: 92693#62421

Page 34: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Homepagehttp://zoro.ee.ncku.edu.tw/na/

(easy to remember)

Page 35: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

索隆 .成大電機 /數值分析 /zoro.ee.ncku.edu.tw/na/

http://www.ttv.com.tw/drama/2005/cartoon/onepeace/images/cast/05.gif

Page 36: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Any Questions?

Page 37: Numerical Analysis EE, NCKU Tien-Hao Chang (Darby Chang)

Summary1 exams + 1 project + many exercises

http://zoro.ee.ncku.edu.tw/na/