Systems 220: Dynamical Modeling I

Spring 2018

Professor: Rajesh Ganesan, Ph.D.           

Engineering Bldg Room 2217

Office Hours: MW- 12:45-2:45 PM                                                           

Phone: (703) 993-1693                                                    

Fax: (703) 993-1521                                                                                 

Email: rganesan at gmu dot edu




Plan of Study: All BS in Systems Eng Majors must meet their advisors and prepare a plan of study if this has not been done earlier. The plan of study must be submitted to Angel at the SEOR office. At the end of the semester Angel  will check to see whether your plan of study is on file. If not, you will receive an IN (incomplete) grade for SYST 220. Therefore, make appointments with your advisors asap. You can find your advisor's name and office hours by checking on patriotweb or on the notice board outside the department office.


Weeks 1 and 2

Introduction, Fitting models to data

Chapter 1 notes  Examples: Linear, exp, and power funtions to multiple data points

  notes and excel ( By Ankit Shah)

  classnotes (2017)

HW 1: 1.19 1.26 1.27 1.28 (3rd ed) solution

HW 1: 1.12 1.19 1.20 1.21 (2nd ed)    Due On Feb 12-14

Read Chapter 1 

Weeks 3, 4

Discrete dynamical models with difference equations(not in book)  classnotes (2018) notes CN1 and CN2


notes 1   


notes 2

notes 3    loan calculator

notes 4

notes 5

notes 6

notes 7

HW 2 Due Feb 26-28 solution


HW 3 Due March 5-7


Week 5, 6 Continuos Dy systems Models using Differential Equations notes CN3


Chapter 2 topics

1. Laplace transforms

2. Inverse Laplace

3. Solving ODE with constant RHS

4. Properties of Laplace


Week 7 - Midterm on 7th March


Week 8 - sp Brk


Week 9, 10 Continuos Dy systems Models using Differential Equations


Chapter 2 topics

5. Solving ODE with variable RHS

6. Initial and Final value theorem

7. Impulse function 

8. Stability

9.  Transfer functions

10. Steady, free, forced, transient parts of an ODE solution