MACM 202-4, Fall 2005: Mathematical Modeling and Computation
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Instructor:    Dr. Michael Monagan, mmonagan@cecm.sfu.ca
Office:        K10501, Phone 291-4279
CECM Lab:      P8495,  Phone 291-5617
URL            http://www.cecm.sfu.ca/personal/monaganm
Course URL:    http://www.cecm.sfu.ca/personal/monaganm/teaching/MACM202F05

Lectures:      MWF 2:30-3:20pm in RCB 8100
Lab (required) Tuesdays in AQ 3148A
Office hours:  Mon 9-10am, Tue 10-11am, Fri 9-10am, K10501
TA:            Mr. Wilson Au, wilsona@sfu.ca
Office hour:   Tue 12-1pm in the assignment lab.

Midterm:       (2 hours): Friday October  28th, 7-9pm, in the assignment lab.
Final:         (2 hours): Friday December 16th, 12-2pm, in the assignment lab.

Course text:   Understanding Nonlinear Dynamics by Daniel Kaplan and Leon Glass
Course grading:    6 assignments          60%
                   Midterm examination    20%
                   Final examination      20%

Maple:    Assignments and examinations will require a substantial use of the
          mathematical software package Maple.  Instruction on the use of Maple
          will be given primarily during the lab on Tuesdays but also during
          class time.  Maple is available on many computers at SFU, including
          the open labs and the assignment lab.
          You may also purchase Maple from the SFU micro computer store.
          For this course, Maple V Release 8, 9, 9.5 or 10 will be fine.
          Help for Maple commands is available on-line in Maple.
          Notes on the use of Maple will be made available on the web.

Cheating  You are encouraged to work together on assignments but do not 
Policy:   just copy another students work.  The TA will be marking most
          questions on the assignments and will be looking for students who
          have copied other students work.  When the TA reports a case of
          suspected copying on an assignment to me I will ask the students
          involved to explain their solution to me.  If a student cannot then I
          will assign that student 0 for that assignment.  If a second instance
          of cheating occurs you will get 0 for all assignments completed up to
          that point.  Students caught cheating on an exam will get zero for
          that exam.  All cases of cheating will be reported to the department
          chair and to the registrars office.

=========================    COURSE CONTENT   ================================

The primary goal of this course is to learn to use a mathematical software
package proficiently so that you will be able to use it when appropriate
in future courses.  We will be using Maple in this course.  We will learn to
- graph curves and surfaces defined by functions, graph data, construct
  graphs containing points, lines, polygons, and text in 2 and 3 dimensions
- solving math problems using techniques from calculus and linear algebra
- write simple programs in Maple to generate numerical data, solve
  equations, draw fractal images, simulate cellular automata, etc.
The second goal is to study some mathematical models for physical phenomena.
Most are models of biological phenomena which are readily understood and do not
require any knowledge of physics.  The material includes many applications of 
differential calculus so it will give you a deeper understanding of 
derivatives.  We aim to cover most of the sections from

  Chapter 1  Finite-Difference Equations 
  Chapter 2  Boolean Networks and Cellular Automata
  Chapter 2  Self Similarity and Fractal Geometry
  Chapter 4  One-Dimensional Differential Equations
  Chapter 5  Two-Dimensional Differential Equations