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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(2009 version  superceded)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 firsttime 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 handson 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 1920, 2009 weekend, approximately 9:00 am to 4:30 pm Saturday and Sunday.
 Location: Room 12, 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
 Lecture Notes: Mathematics and Modelling (pdf 1.0Mb) containing notes on [revised 20090806]
 Introduction. See also:
 Learning 101 and Mastery, www.nuceng.ca
 Engineering Concepts, Equations and Context. See also:
 Summary of the book The Evolution of Physics
 Vectors (Div, Curl, Grad and all that). See also:
 Vector Math Review (pdf 146kb)from http://epsc.wustl.edu/classwork/454/syllabus.html
 Linear Algebra. See also:
 Matrix Algebra Review (pdf 60kb) from www.cse.unr.edu/~bebis/MathMethods
 Calculus. See also:
 www.mathcentre.ac.uk for detailed refresher notes and exercises on basic differentiation (pdf 128kb) and differentiation integration (pdf 400kb).
 Table of derivatives (pdf 56kb) from www.math.ubc.ca/~feldman/m120
 Table of integrals (pdf 89kb) from www.integraltable.com.
 Solve integrals online.
 Ordinary Differential Equations
 BoundaryValue and Eigenvalue Problems
 Partial Differential Equations
 Data Analysis (Statistics and Least Squares Regression). See also:
 TTest notes (pdf 90kb) from www.socialresearchmethods.net
 Statistical tables (pdf 153kb) from www.statsoft.com/textbook/sttable.html
 Laplace Transforms
 Reference: Kells, Elementary Differential Equations, McGrawHill, 1965, Chapter 7
 Table of common Laplace transforms (pdf 42kb) from stanford.edu/~boyd/ee102/
 Control Theory
 Reference: George Stephanopoulos, Chemical Process Control: An Introduction to Theory and Practice, Prentice Hall, 1984, ISBN 0131286293
 Reference Text: [C&C] Chapra and Canale, Numerical Methods for Engineers, 5th edition, Publishers: McGraw Hill, ISBN 007291873X, TK345.C47, Year: 2006. You might be able to get a used copy at www.alibris.com.
 Solutions to exercises in notes (pdf 165 kb) [password protected]
Course Plan
 Session 1 Saturday 9:0010:15
 Introduction
 Engineering Concepts, Equations and Context
 Vectors (Div, Curl, Grad and all that)
 Session 2 Saturday 10:3012:00
 Session 3 Saturday 1:002:30
 Ordinary Differential Equations
 Session 4 Saturday 3:004:30
 BoundaryValue and Eigenvalue Problems
 Partial Differential Equations
 Session 5 Sunday 9:0010:15
 Data Analysis (Statistics and Least Squares Regression)
 Session 6 Sunday 10:3012:00
 Data Analysis (Distributions and Probability)
 Session 7 Sunday 1:002:30
 Laplace Transforms
 Control Theory
 Session 8 Sunday 3:004:30
Class Recordings
Supplementary Material
 DYNASY control theory, block diagrams, animations and more [link broken].
