ENGR 213: Applied Ordinary Differential Equations

Concordia University

Instructor

Dr. Youmin Zhang

Associate Professor

Dept. of Mechanical & Industrial Engineering

Concordia University

1455 de Maisonneuve Blvd. W.

Montreal, Quebec H3G 1M8, Canada

Tel: +1 (514) 848-2424, ext: 5741;      Fax: +1 (514) 848-3175

E-mail: ymzhang@encs.concordia.ca;  Homepage: http://users.encs.concordia.ca /~ymzhang/

 

            Office Hours:

 

Tuesdays and Thursdays 14:30 pm - 15.30 pm; EV 4-109

 

Teaching Assistants

Tutorials: 

Ramin Motamedi                      Email: raminioo@yahoo.com    EV 13.210 ext 8782

 

Assignments: 

Hesham Kamel                         Email: heltaher@gmail.com      EV 13.205 ext 7095

Location and Time

·       Lectures: Tuesdays and Thursdays, 11:00-13:30 SGW  H-620

·      Tutorials:  Tuesdays and Thursdays, 08:45-10:25 SGW  H-620

Course Outline

Course Materials

  • Recommended textbook
    • D. G. Zill and M. R. Cullen, Advanced Engineering Mathematics, 3rd Edition, Jones & Bartlett Pub, 2006 (ISBN-10: 076374591X; ISBN-13: 978-0763745912).
  • Optional textbook
    • E. Kreyszig, Advanced Engineering Mathematics, 9th Edition, Wiley, 2006 (ISBN-10: 0471488852; ISBN-13: 978-0471488859)

 

Tentative Schedules

 

Date

Lecture Topics

Slides

Reading

Assignments

(1)

Tue. 1/5

Definitions and terminology

Lecture 1

 

Sect. 1.1

 

#1: Section 1.1: 1,2,10,3,5,6,8,11,13,14,17,23,24. (3rd edition)

Due:

Solution: #1

(2)

Thu. 3/5

Initial-value problems and using DEs mathematic models

Lecture 2

Sect. 1.2 & 1.3

 #2: Section 1.2: 7,9,11,12,17,18. Section 1.3: 10,13. (3rd edition)

Due:

Solution: #2

(3)

Tue. 8/5

Direction fields, autonomous 1st-order DEs, and separable variables

Lecture 3

 

Sect. 2.1 & 2.2

#3: Section 2.1: 3,4,21,24,26,27.  Section 2.2: 1,2,4,5,7,8,23,25,26. (3rd edition)

Due:

Solution: #3

(4)

Thu. 10/5

Linear equations

Lecture 4

Sect. 2.3

#4:

Due:

Solution: #4

(5)

Tue. 15/5

Exact equations

Lecture 5

 

Sect. 2.4

#5:

Due:

Solution: #5

(6)

Thu. 17/5

Solutions by substitutions

Lecture 6

Sect. 2.5

#6:

Due:

Solution: #6

(7)

Tue. 22/5

Linear and nonlinear models

Lecture 7

Sect. 2.7 & 2.8

#7:

Due:

Solution: #7

(8)

Thu. 24/5

Linear equations and reduction of order

Lecture 8 

 

Sect. 3.1 & 3.2

#8:

Due:

Solution: #8

(9)

Tue. 29/5

Homogeneous linear equations with constant coefficients

Lecture 9

 

Sect. 3.3

#9:

Due:

Solution: #9

(10)

Thu. 31/5

Undetermined coefficients, variation of parameters, Cauchy-Euler equation

Lecture 10

Sect. 3.4-3.6

#10:

Due:

Solution: #10

(11)

Tue. 5/6

Linear and nonlinear models

Lecture 11

Sect. 3.8 & 3.11

#11:

Due:

Solution: #11

(12)

Thu. 7/6

Power series solutions an Euler methods

Lecture 12

Sect. 5.1 & 6.1

#12:

Due:

Solution: #12

(13)

Tue. 12/6

Course summary

Lecture 13

 

 

This homepage is created and maintained by Youmin Zhang.