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

 

Syllabus

 

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  CN4

8. Stability

9.  Transfer functions

10. Steady, free, forced, transient parts of an ODE solution CN5

 

 

Hw 4 : 2.6(b), 2.11 (f), 2.12 (b), 2.15 (c), 2.17 (a) (3rd ed) solutions

Hw 4: 3.9(b), 3.12(f), 3.13(b), 3.16(c), 3.17 (a) (2nd ed)   Due Apr 2

 

Hw 5: 2.10, 2.14(d) ,  2.23(b), 2.24(c), 2.33, 2.37 (a), 2.38 (b)  (3rd ed)solutions

Hw 5: 3:11, 3.15 (d), 3.4 (b), 3.5 (c), 3.19, 3.25(a), 3.26(b) (2nd ed) Due on Apr 9

 

Week 11

Block diagrams (chapter 5) CN6

Hw 6

9.48, 9.50, 5.3, 5.8, 5.11, 5.12 (2nd ed)soln

5.3, 5.5, 5.17, 5.21 , 5.22 (3rd ed)  Due (April 16 )

 

 

Week 12

State variable models  - chap 5 CN7

and chapter 3

 

Weeks 13 and 14

Chapt 3    CN8 CN9

Hw 7

2.9, 2.10, 2.13, 2.18, 2.23 (2nd ed) Due April 30 (soln with new numbers)

3.11, 3.12, 3.19, 3.24, 3.31 (3rd ed)

 

Week 15

Chap 4 CN10 CN11

Hw 8

4.3, 4.13, 4.34 (2nd ed) Due May 8soln

4.3, 4.19, 4.51  (3rd ed)

 

Make up class May 8th Tuesday 3 PM - final revision

 

Final Exam May 14th - 1:30 -4:15 (starts 1 1/2 hrs early and not at 3 PM)