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UNENE Mathematics and Modelling Refresher Course
(2009 version - superceded)

Archive copy

Introduction

This is a refresher mathematics and modelling course to get you ready for the UNENE courses. UNENE students come from a wide variety of science and engineering background and may have been away from academia for a number of years. Unused math skills fade quickly. This course is intended to get students up to speed quickly in key mathematical areas that commonly arise in this program. It is NOT intended for first-time learners.

THIS REFRESHER COURSE IS HIGHLY RECOMMENDED PREPARATION FOR THE UNENE JOINT MASTER'S OF ENGINEERING DEGREE COURSES

Administration

  • Format: Two day compressed workshop containing lectures and hands-on sessions.
  • Prerequisite: Undergraduate degree in engineering or science.
  • Lecturer: Bill Garland, Email: garlandw@mcmaster.ca, general nuclear engineering web site: www.nuceng.ca.
  • The first offering of this course - September 19-20, 2009 weekend, approximately 9:00 am to 4:30 pm Saturday and Sunday.
  • Location: Room 1-2, Durham College - Whitby Campus, 1610 Champlain Avenue, Whitby, Ontario. See Campus Maps.
  • For students at remote locations, it is planned that this course will be offered as a live distance education course via MacLive. You will need a high speed internet connection outside corporate firewalls, an inexpensive headset with microphone and, optionally, a webcam.
  • Evaluation: An individual informal assessment and recommendation will be made and provided to the student.
  • Your comments and suggestions are welcome.
  • Note: Handouts will not be provided at the sessions. You are advised to bring a printout of the lecture notes at the very least. Depending on the particular interests of the class, discussions and exercises may take unexpected turns. So to ensure maximum flexibility bring a laptop and a memory stick if you can.

Course Material

Course Plan

  • Session 1 Saturday 9:00-10:15
    • Introduction
    • Engineering Concepts, Equations and Context
    • Vectors (Div, Curl, Grad and all that)
  • Session 2 Saturday 10:30-12:00
    • Linear Algebra
    • Calculus
  • Session 3 Saturday 1:00-2:30
    • Ordinary Differential Equations
  • Session 4 Saturday 3:00-4:30
    • Boundary-Value and Eigenvalue Problems
    • Partial Differential Equations
  • Session 5 Sunday 9:00-10:15
    • Data Analysis (Statistics and Least Squares Regression)
  • Session 6 Sunday 10:30-12:00
    • Data Analysis (Distributions and Probability)
  • Session 7 Sunday 1:00-2:30
    • Laplace Transforms
    • Control Theory
  • Session 8 Sunday 3:00-4:30
    • Review and Discussion

Class Recordings

Supplementary Material

  • DYNASY control theory, block diagrams, animations and more [link broken].