Instructor

Long-Wen Chang
lchang@cs.nthu.edu.tw
(O) 573-1076
EECS Room 538

Course Outlines
 
Handouts
Chapter 1
 

 
Course Syllabus for Engineering Mathematics
Fall, 1998
Course description
 
Course Outline
 
  Chapter 1: Continuous Time Signals

 Introduction of analog signals
 Sinusoidal, damped sinusoidal and  exponential signals
 Rectangular and triangular signals
 Complex exponential signals
 Periodic signals
 Bounded and  unbounded analog signals
 Absolute integrable and square integrable properties
 Energy of an analog signal
 Linear  convolution

 Chapter 2: Continuous  Time Systems
 Introduction to continuous time systems
Linear time invariant system
 Impulse response of a LTI system
 The linear ODEs  (ordination  differential equations) of order N
 
 

 Chapter 3:  Linear Differential Equations in The Time Domain

 Fisrt order ODEs
 Second order ODEs
 High order ODEs
 Several ODEs
 Kirchhoff's current and voltage laws.
 Circuit analysis with linear ODEs

 Chapter 4:  The Laplace Transform

 The Laplace transform and its properties.
 The inverse Laplace transform
 The linear convolution computed with the Laplace transform

Chapter 5:  Solution of Linear ODEs with  Laplace Transform
 Solution of  the linear ODE with the Laplace transform
 Circuit analysis with  the Laplace transform
 
 

 Chapter 6 Continuous Time Fourier Transform

 The  continuous time Fourier transform
 Real Fourier series
 Complex  Fourier series
 Gibbs phenomenon
 
 

Chapter 7:  Analog Filters

 Introduction to the design of analog filters
 Butterworth, type I Chebyshev, type II Chebyshev and elliptic filters
 Implementation of analog filters
Analog Filter design with the transformation technique
 Analog filter implementation with  first order and second  filters.