HOME | Nuclear Engineering Concepts |

- Thinking
- Communication (oral and written)
- Organization and time management
- Laboratory Safety
- The Greek Alphabet
- Latin phrases - and other useful Latin information (such as date and number conversion)

- Diffusion
- Transport
- Reaction rates
- Force balances
- Statics
- Dynamics

- Philosophy
- The Utility of Mathematics (www.catb.org) - by Eric S. Raymond (archive pdf
37kb), this essay discusses the best current understanding of the
relationship between mathematical and empirical knowledge. It focuses
on two questions:

1. Does mathematics have some sort of deep metaphysical connection with reality, and

2. if not, why is it that mathematical abstractions seem so often to be so powerfully predictive in the real world?

- The Utility of Mathematics (www.catb.org) - by Eric S. Raymond (archive pdf
37kb), this essay discusses the best current understanding of the
relationship between mathematical and empirical knowledge. It focuses
on two questions:
- Mathematics and Modelling Refresher - includes some class recordings, covers
- Notions of Modelling and Numerical Solutions
- Vectors (Div, Curl, Grad and all that)
- Linear Algebra
- Calculus
- Ordinary Differential Equations
- Boundary-Value and Eigenvalue Problems
- Partial Differential Equations
- Data Analysis (Statistics and Least Squares Regression)
- Laplace Transforms
- Control Theory

- General
- American Mathematical SocietyU
- Math on the Web - lots of great links.
- Athabasca University Math Resource Page
- Math review manual - brought to you by the Mathematics & Statistics department at McMaster University, for first year students.
- Refresh Your Maths - brought to you by Nuclear Technology Education Consortium (NTEC) in the UK. Very good refresher for engineers getting back in the groove after being away from math for a few years.
- The University of Sydney Math Learning Centre / Resources - Lots of nicely done basic math tutorials and links to other resources here.
- KhanAcademy - Terrific use of video as a learning tool. Covers many math topics. See the TED talk on this initiative.

- Calculus
- www.calculus.org/ - Links to calculus resources.
- Integral Tables - from Dr Dan Thomas, the Dept of Chemistry and Biochemistry, University of Guelph.
- The Integrator and The Derivative Calculators- from Wolfram Research, the makers of Mathematica.
- Material derivative (wikipedia) (saved as a pdf 123kb).

- ODE
- Notes on Diffy Qs: Differential Equations for Engineers, By: Jiří Lebl, UW-Madison. A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence. This free online book (e-book in webspeak) should be usable as a stand-alone textbook or as a companion to Edwards and Penney, Differential Equations and Boundary Value Problems. Mostly OPEs but a little on PDEs. Excellent.

- PDE
- See Notes on Diffy Qs: Differential Equations for Engineers, By: Jiří Lebl above.

- Numerical methods
- Numerical methods links - very comprehensive site by Douglas N. Arnold at Penn State.
- Numerical Methods for Engineers - a full fourth year course on-line by Dr. Rukmini Sriranganathan, formerly of Virginia Tech. Nicely done.
- Process Modelling (pdf 266kb) and Numerical Methods (pdf 451kb) - excerpts from Engineering Physics 4D3/6D3 - Nuclear Reactor Analysis

- Statistics and probability
- Probability Tools and Techniques (pdf 386kb) - Chapter 2 of Engineering Physics 714 - Nuclear Reactor Safety Design
- Chapter 3 Statistics for Small Systems (pdf 158kb) and Chapter 4 Statistics for Systems of Many Elements (pdf 316kb) from from EP2H4 Thermodynamics
- Bayes theorem
- An Intuitive Explanation of Bayesian Reasoning - Bayes' Theorem for the curious and bewildered; an excruciatingly gentle introduction by Eliezer Yudkowsky
- Probability Theory and Bayesian Belief Bayesian Networks
- Bayes Theorem
- Bayes Theorem explained (self playing class recording, exe 5Mb) by Bill Garland

- Laplace and other transforms
- Fourier Transforms - Engineering Physics 3W04 Term II (1999/2000) course notes and links to other FT sites.

- Experimental design

- classical
- statistical

- Diffusion
- Transport
- Interaction rates and cross sections
- Elastic and inelastic Scattering
- Radioactive decay
- Nuclear reactions
- Shielding and attenuation

- A short note on counting statistics by Dr. Esam Hussein, Department of Mechanical Engineering, University of New Brunswick.
- Detectors
- Radiation types and characteristics
- The ABC's of Nuclear Science - A brief introduction sponsored by Lawrence Berkeley Laboratory.

- Fission reactions
- Point kinetics
- Neutron diffusion
- Multigroup theory
- Xenon poisioning
- Reactor control
- Prompt jump
- Reactivity feedback mechanisms
- Fuel depletion and management
- Reactor design
- Numerical methods

- mass conservation
- momentum conservation
- energy conservation
- pressure drop and friction factors
- flow regimes and velocity profiles
- potential flow and boundary layer approximations
- viscous flow
- turbulent flow
- compressible flow
- flow diagnostics
- boundary conditions
- correlations
- modelling
- numerical methods

- basic equations (power / energy balance)
- conductive heat transfer
- convective heat transfer (forced and natural)
- radiative heat transfer
- boiling phenomena
- condensation phenomena
- heat exchangers
- correlations
- devices and examples
- numerical methods

- General conservation equations
- homogeneous equilibrium model (HEM) model
- two-phase flow models
- flow regime maps
- flow boiling and CHF
- heat transport loops and design
- reactor safety analysis
- two-phase flow diagnostics
- numerical methods

- Philosophy
- Deterministic Analysis
- Probabilistic Analysis

- fusion reactions
- coulomb scattering
- electromagnetic hydrodynamics
- ion trajectories
- energy viability
- magnetic confinement
- inertial confinement
- fusion catalysis
- fusion-fission hybrids
- fusion reactor kinetics
- blanket systems
- fuel cycles
- plasma diagnostics
- plasma chemistry