Unformatted text preview: and bring lecture slides to the lecture.
Do “Exercises” given at the end of each lecture.
Do homework every week.
Read the textbook and the slides.
Make use of instructor’s office hours.
If you want to get a very good grade…
Read the textbook thoroughly.
Read optional references too.
Do more than given “Exercises”.
Use and be familiar with Matlab.
Matlab. Complex Numbers
Add, Subtract, Multiply, Divide
Add, Linear Algebra
Matrix Multiply, Inverse, Sets of Linear Eq.
Matrix Linear Ordinary Differential Equations
Laplace Transform to Solve ODE’s
Modeling of Physical Systems
Mechanical, Electrical, Thermal, Fluid
Mechanical, Dynamic Responses
1st and 2nd Order Systems of ODE’s
5 6 Complex Numbers Prerequisites: Complex Numbers
Ordered pair of two real numbers
Ordered Euler’s identity
Addition Polar form
Multiplication 7 8 Logarithm Laplace transform The logarithm of x to the base b is written
The logarithm of 1000 to the base 10 is 3, i.e.,
The One of most important math tools in the course!
Definition: For a function f(t) (f(t)=0 for t<0),
Properties: (s: complex variable) f(t)
0 t F(s) Why? We denote Laplace transform of f(t) by F(s).
9 Summary & Exercises
Complex numbers, Linear Algebra, Logarithm,
Buy the course textbook and keep it!
Review today’s slides on complex numbers and
Read Chapter 1 and 2 of the textbook.