MATH 2E03: Introduction to Modelling
Fall 2005 Course Information
Contents:
Announcements:
Solution of Practice problem set 2 and 3 is available on the site
General Information
Instructor
Lectures
(Lectures slides will be available on the web)
Textbook
Aims
of the course
Course
content
Computer
Labs
Evaluation
Policy
Reminders
Assignments
#Assignment
1
#Assignment
2
#Assignment
3
Practice Problems
Announcements:
Tutorial at the
University of Florida
Tutorial
at the University of Michigan
Tutorial
at the University of MichiganTech
Tutorial at the
University of University of New Hampshire
General
Information:
Instructor:
Mani Mehra
office: HH/403A, phone extension: 27364
office hours: M, W, R: 14:30-15:30
email: mmehra@math.mcmaster.ca
home page: http://www.math.mcmaster.ca/~mmehra
Lectures:
M, W, R 13:30-14:20 in MDCL/1009
Lecture#1
Lecture#2
Lecture#3
Lecture#4
Lecture #5 (Introduction to matlab) is not available online,
Lecture#6
Lecture#7
Lecture#8
Lecture #9 (Introduction to matlab) is not available online,
Lecture#10
Lecture#11
Lecture#12
Lecture#13
Lecture#14
Lecture#15
Lecture#16
Lecture#17
Lecture#18
Lecture#19
Lecture#20
Lecture#21
Lecture#22
Lecture#23
Lecture#24
Lecture #25 (Method of Solving Differential Equations) is not
available online,
Lecture#26
Lecture#27
Lecture#28
Lecture#29
Lecture#30
Lecture#31 (could not happen due to fire alarm)
Lecture#32
Lecture#33
Lecture#34
Textbook
:
"Population Biology Concepts and
Models", by Alan Hastings
Optional Textbook: Any
introductory book of matlab is very useful and strongly recommended.
Aims
of the course:
- To think analytically and
critically about the real world;
- to learn how to build
mathematical models of real--world situations;
- to introduce tools (MATLAB!)
and
mathematical techniques to study these
models;
- to make extensive use of
mathematics YOU ALREADY KNOW to approach some
interesting problems.
Course
content:
Throughout the course we try to
emphasize the steps in model building:
identifying relevant variables, simplifying assumptions, methods for
solving
models, testing assumptions, etc. As well we will develop computer
skills
using MATLAB through assignment problems.
The rough order of topics is:
- Overview of different types
of
mathematical models
- Modelling using difference
equations: populations, non-linear models (chaos)
- Modelling using ordinary
differential equations: models from biology, chemistry,
physics, etc.
Computer
Labs:
There is no predefind lab hours but
you have to use lab acording to your convience for solving assignments.
Evaluation:
There will be assignments, one
midterm test and the final exam.
Assignments:
There will be a number of assignments
worth, in total 25% of the final marks. Assignments will be announced
in class. Late assignments are not acceptable. It is student's
responsibility to submit clear legible matlab programme for the
solution at email:manimeh@gmail.com.
Matlab programme should be problemwise and title of the email should be
"Solution to Assignment #"
Midterm:
There will be one test of 1 hour
duration (from 1.30 p.m to 2.30 p.m) to be held on Wednesday, October
26. Topics to be covered will be till lecture 11. It will be in BSB
244. Questions will also be based on matlab programme.
Final Exam:
There will be a two hour exam held
during the exam period in December scheduled by the Registrar's office
and will cover material from the entire course.
- You must bring your student
ID to test and the
final exam.
- Any calculator is permitted.
Occasionally, students have to miss
test and exam because of a family
matter or illness. In such cases, a student should contact the Science
Faculty
advisor as soon as possible with the appropriate
documentation.
Only when your
instructor is informed officially by the Faculty of Science will an
exemption be
given for a missed test.
Final Mark:
| Assignments |
25% |
| Test |
25% |
| Final Exam |
50% |
Policy
Reminders:
- Attention is drawn to the
Statement on Academic Ethics and the Senate
Resolutions on Academic Dishonesty as found in the Senate Policy
Statements
distributed at registration and available in the Senate Office. Any
student
who infringes one ofthese resolutions will be treated according to the
published policy.
- While group discussion about
assignment problems is allowed, all assignment
solutions must be prepared by individuals working independently. Marks
will be deducted when copying has taken place.
Assignments:
Assignment
1:
Assignment
#1
Solution
of assignment #1,
Programme
files for assignment #1
Programme
files for assignment #2
Solution
of assignment #3,
Practice
Problems:
Practice
problems set 1:
Practice
problem set #1
Solution
of practice problem set #1