ERG2012A Advanced Engineering Mathematics

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ERG2012A Advanced Engineering Mathematics

• Instructor Angela Y. J. Zhang
• Room SHB 731
• Email yjzhang_at_ie.cuhk.edu.hk
• Tutors
• Chen Jieying cjy007_at_ie.cuhk.edu.hk
• Lectures T3-4 _at_ ERB 804, H4 _at_ SC L4
• Tutorials To be arranged
• Website /course.ie.cuhk.edu.hk/erg2012a
• Newsgroup news//news.erg.cuhk.edu.hk/cuhk.erg.20
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What is Engineering Maths

• Mathematical methods to solve engineering
  problems
• Three phases of solving problems with engineering
  mathematics
• Modeling
• Solving
• Interpreting

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Example
Problem Two mobile stations transmit their
signals to the BS simultaneously. The transmitted
signals are received by the BS through two
antennas. Extract the transmitted signals from
the received signals.
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Example
Modeling
We have
and
We hope to solve for and from the two
equations.
Solving
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Example
Interpreting
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Course Outline

• Complex Variables
• complex number, analytical functions, power
  series
• Linear Algebra
• matrices and vectors, linear equations, vector
  space, eigenspace, orthogonal matrices,
  diagonalization, linear transformation
• Numerical Methods
• errors of numerical results and error
  propagation, numerical integration and
  differentiation, numerical methods in linear
  algebra
• Probability and statistics
• probability mass functions, probability density
  functions, axioms and properties of probability,
  mean and variance, central limit theorem,
  confidence interval

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Course Information

• Textbook
• E. Kreyszig, Advanced Engineering Mathematics,
  9th edition, John Willey
• Assessment method
• Assignment 20
• Mid-term Exam 30
• Final Exam 50
• Course notes will be available on the web before
  the lectures

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• You are encouraged to take your own notes!
• Please do your homework by YOURSELF!
• You are very welcome to ask questions and share
  your suggestions with us!
• Please dont hesitate to contact us if you need
  help!
• We are always ready to help!