FACULTY OF
ENGINEERING AND COMPUTER SCIENCE
DEPARTMENT OF
MECHANICAL ENGINEERING
NUMERICAL METHODS
IN ENGINEERING
(ENGR 391, Winter
2004)
Instructors:
Section X |
Dr.
|
Department: MIE Office Hours: Tuesdays Office: H549-28 Tel: 848-2424 ext. 3179 E-mail: akgunduz@me.concordia.ca |
Days: W, F |
Time: |
Room: H-407 |
April 7 |
|
|
Sample Final Exams |
Text Book:
- Numerical Methods for Engineers, Chapra and Canale, 4th edition, McGraw-Hill, 2002.
Grading Scheme:
· Assignments 20%
· Midterm exam 20%
·
Final exam (closed book and notes) 60%
You must fill out and sign the
appropriate originality form with your assignments before you submit them
Originality Forms: Software,
Assignment,
Lab report, Report
However you must pass the final examination with a 50% grade to pass the course.
Assignments and General notes:
Assignments include problems to
be solved with a hand calculator as well as problems to be solved on the
computer. Computer accounts are available on the PC Network and can be obtained
from the
Prerequisites: EMA T 232; COMP 212 or COMP 293
Objectives:
Engineers depend on mathematical equations to describe behavior of many systems. In practice these equations cannot be solved analytically, therefore, numerical methods are often used. This course introduces engineering students to these numerical methods and algorithms. It is an introductory course, and can be complemented by a variety of other courses geared at different approaches to numerical simulation of the many phenomena occurring in different engineering disciplines, e.g. Fluid Mechanics, Solid Mechanics, Electromagnetic, etc.
Topics:
· Interval Bisection Method (Section 5.2) |
·
Method
of False Position (Section 5.3) ·
Incremental
Search Method (Section 5.4) ·
|
|
· Gauss-Jordan Elimination and Pivoting strategies ((Sections PT3.2, 9.1, 9.2 and 9.3) 1. Pivoting strategies (Additional Notes) |
· Newton’s Method (Section 9.6) |
· LU-Decomposition (Section 10.1) · Gauss-Siedel Methods (Section 11.2) |
Homework #3: 9.11, 9.16, 10.2, 10.5, 11.9,
and 11.14 from the text
book
Due is on February 6th, Friday. No late HW will be
accepted.
5.
Curve Fitting
·
Least Square Regression
b) Polynomial (Section 17.2) |
c) General Linear (Section 17.4) d) Non-Linear (Section 17.5) |
· Interpolation
a) Lagrange Polynomials (Section 18.2) b) Splines (Section 18.6) |
Homework #4:
17.5, 17.13, 18.4 (a), and 18.11 from the text book
Due is on March 12th, Friday. No late HW will be
accepted.
1.
Numerical Integration and Differentiation
· Trapezoidal Rule (Section 21.1) · Simpson’s Rule (Section 21.2) |
· Romberg Integration (Section 22.2) · Gauss Quadrature (Section 22.3) |
Homework #5: 21.8, 21.12, 21.26, 22.3, 22.12, 23.1 from the text book
Due is on March 24th, Wednesday. No late HW will be
accepted.
2.
Ordinary Differential Equations
· Euler’s Methods (Section 25.1)
· Runge-Kutta Methods (Section 25.3)
· Finite Differences and Boundary Value Problems (Section 27.1)
3.
Partial Differential Equations
· Classification [Elliptic, Parabolic and Hyperbolic]
· Finite Difference Method (Section 29.1 and 30.1)
· Finite Element Method (Section 31.1)