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, 3,5,6,8,10,11,13,14,23,24 (3rd edition).

or

1,2,4,5,7,8,10,11,13,14,19,20 (2nd edition).

Due: May 10th at Tutorial

Solution: #1 (See from Moodle)

(2)

Thu. 3/5

Initial-value problems and using DEs as mathematical models; Direction fields; Autonomous 1st-order DEs

Lecture 2 (a, b)

Sect. 1.2 & 1.3, Sect. 2.1

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

or

Section 1.2: 4,5,7,8,13,14;

Section 1.3 10,11 (2nd edition).

Due: May 10th at Tutorial

Solution: #2 (See from Moodle)

(3)

Tue. 8/5

Separable variables

Lecture 3

(See  slides in Moodle)

 

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).

or

Section 2.1: 2,4,17,20,22,23; Section 2.2: 1,2,4,5,7,8,23,25,26 (2nd edition).

Due: May 17th at Tutorial

Solution: #3 (See from Moodle)

(4)

Thu. 10/5

Linear equations

Lecture 4

(See  slides in Moodle)

Sect. 2.3

#4: Section 2.3: 1,2,4,5,7,8,16,17,19,22,23 (3rd ed.).

or

1,2,4,5,7,8,16,17,19,22,23 (2nd ed.).

Due: May 17th on Tutorial

Solution: #4 (See from Moodle)

(5)

Tue. 15/5

Exact equations

Lecture 5

(See  slides in Moodle)

 

Sect. 2.4

#5: Section 2.4: 1,2,4,5,7,8,16,17,19,22,23 (3rd ed.).

or

1,2,4,5,7,8,16,17,19,22,23 (2nd ed.).

Due: May 24th at Tutorial

(6)

Thu. 17/5

Solutions by substitutions

 

First midterm test (9:00am-10:00am during Tutorial session)

Lecture 6

(See  slides in Moodle)

Sect. 2.5

#6: Section 2.5: 1,2,4,5,7,8,16,17,19,22,23 (3rd ed.).

or

1,2,4,5,7,8,16,17,19,22,23 (2nd ed.).

Due: May 24th at Tutorial

(7)

Tue. 22/5

Linear and nonlinear models

Lecture 7

(See  slides in Moodle)

Sect. 2.7 & 2.8

#7: Section 2.7: 13, 19; Section 2.8: 13, 14, 20 (3rd ed.).

or

Section 2.7: 13, 19. Section 2.8: 13, 14, 23 (2nd ed.).

Due: May 31st at Tutorial

(8)

Thu. 24/5

Linear equations and reduction of order

Lecture 8 

 

Sect. 3.1 & 3.2

#8: Section 3.1: 1,2,4,17,19,20,22,23,31,34; Section 3.2: 1, 2,4,17 (3rd ed.).

or

Section 3.1: 1,2,4,17,19,20,22,23,35,38; Section 3.2: 1, 2,4,17 (2nd ed.).

Due: May 31st at Tutorial

(9)

Tue. 29/5

Homogeneous linear equations with constant coefficients; Undetermined coefficients

Lecture 9

 

Sect. 3.3

#9: Section 3.3: 1,2,4,5,7,8,29,31,34,38,41;

Section 3.4: 1,2,4,5,7,8,29,31,34 (3rd ed.)

or

Section 3.3: 1,2,4,5,7,8,29,31,34,40,41;

Section 3.4: 1,2,4,5,7,8,29,31,34 (2nd ed.)

Due: June 7th at Tutorial

(10)

Thu. 31/5

Undetermined coefficients; Variation of parameters; Cauchy-Euler equation

Lecture 10

Sect. 3.4-3.6

#10: Section 3.5: 1,2,4,5,7,8,19,22; Section 3.6: 1,2,4,5 (3rd ed.).

or

Section 3.5: 1,2,4,5,7,8,19,22;

Section 3.6: 1,2,4,5 (2nd ed.).

Due: June 7th at Tutorial

(11)

Tue. 5/6

Linear models (IVP) and solving systems of linear equations

 

Lecture 11

Sect. 3.8 & 3.11

#11: Section 3.8: 1,2,11,13,16; Section 3.11: 1,2,11,13,16 (3rd ed.).

or

Section 3.8: 1,2,11,13,16;

Section 3.11: 1,2,11,13,16 (2nd ed.).

Due: June 12th at Tutorial

(12)

Thu. 7/6

Power series solutions and Euler methods

 

Second midterm test (9:00am-10:00am during Tutorial session, covering materials up to Lecture #10)

Lecture 12

Sect. 5.1 & 6.1

#12: Section 5.1: 17,18,20,27; Section 6.1: 1,2 (3rd ed.).

or

Section 5.1: 13,14,18,23;

Section 6.1: 1,2 (2nd ed.).

Due: June 12th at Tutorial

(13)

Tue. 12/6

Course summary

Lecture 13

 

 

This homepage is created and maintained by Youmin Zhang.