Class resume compiled and maintained by Rajesh Kumar 1A - Fall 2005 ============== MATH 117 - Calculus 1 for Engineering -------- -------------------------- - Functions and their properties - Composite functions, inverse functions, odd, even, periodic and hyperbolic functions - Heaviside (or unit step), ramp (or sawtooth), signum, Kronecker Delta, ceil, floor and absolute-value functions - Partial fractions - Complex number algebra, complex impedance - Euler's formula, De Moivre's Theorem - Sequences, limits, limit theorems - De L'Hopital's Principle - Continuity, Intermediate value theorem, boundedness theorem, min/max theorem - Derivatives, rules of differentiation - Product, quotient and chain rules, implicit, logarithmic and partial differentiation - Optimization problems (min/max) - Integrals, rules of integration, differentials, subtitution, integration parts - Riemann integrals and properties - Fundamental theorem (parts 1 and 2) of calculus - Mean value theorem, (application: rms value of a sinusoidal signal) - Simple differential equations (spring-mass system, bob-pendulum system) - Improper integrals, type I and II - Laplace transformations, application to simple differential equations - Inverse Laplace transformations using tables NE 112 - Linear Algebra with Numerical Applications ------ ------------------------------------------ - Matrices, operations on matrices - Inverses - Determinants - Solution of linear equations using reduction, Gaussian elimination - Iterative methods: Jacobi and Gauss-Seidel - LU factorization, Cholesky factorization - Eigenvalues and eigenvectors - Diagonalization - Solution of first and second order differential equations using diagnolization - Fixed-point iteration on multi-variable systems - Karmarkar's Interior Point Algorithm (project work) NE 113 - Engineering Computation ------ ----------------------- - Introduction to digital computers, hardware, software - Programming fundamentals, flops - Algorithms, control structures - Spreadsheets, plotting, curve fitting - Iterations, loops, plots, etc. in MATLAB - Taylor series, roots of polynomials, approximations to roots of non-linear equations - Numerical integration, Trapezoidal and Simposon's rules NE 121 - Chemical Principles ------ ------------------- - Chemical reactions, stoichiometry - Mass and charge balance - Periodicity and chemical bonding, Lewis structures, resonance - Introductory thermodynamics and associated laws, enthalpy, entropy and Gibbs free energy - Reaction kinetics, rate laws, steady-state approximations - Electrochemical reations, standard reduction potentials, cells, corrosion, electrolysis - Chemical equilibrium and applications, solubility, acid-base - Electronic structure of atoms and molecules, Bohr model - Orbitals, molecular orbitals, molecular spectroscopy - Properties of liquids and solids, intra and intermolecular forces, phase diagrams - Applications to nanotechnology engineering: micelles, quantum dots, gecko-feet adhesives NE 131 - Physics for Nanotechnology Engineers ------ ------------------------------------ - Classical mechanics - Wave mechanics - Wave-particle duality, photoelectric effect, Compton effect - Ray optics 1B - Winter 2006 ================ NE 122 - Organic Chemistry for Nanotechnology Engineers ------ ---------------------------------------------- - Structure, nomenclature and reactions of organic compounds, functional groups - Interconversions of function groups - Aromaticity, Huckel's Rule - Mechanisms of chemical reactions - Introduction to NMR, ultraviolet and infrared spectroscopy - SN1, SN2, E1 and E2 reactions - Lab: i) Properties of common functional groups ii) Separation of acid, base and neutral compounds iii) Preparation of n-butyl bromide iv) Preparation of benzoic acid via a Grignard reagent v) Polymers NE 100 - Introduction to Nanotechnology Engineering ------ ------------------------------------------ - Introduction to nanotechnology engineering - Applications of nanotechnology engineering - Electrons as waves - Electron in a potential well - Tunneling - Quantum tunneling diodes - Nano instruments, scanning tunneling and atomic force microscopes - Basic methods and principles used by engineers - Errors in measured and computed quantities - Basic statistics - Ethics in engineering - Engineering responsibilities - Engineering associations in Canada - Introduction to engineering as a profession - Standards, safety and intellectual property NE 125 - Inorganic Chemistry, Materials Science and Engineering ------ ------------------------------------------------------ - Fundamentals of crystalline structure - Crystal defects: point, edge, line and surface defects - Burger's vector - Noncrystallinity of materials, amorphous materials and properties - Structure and properties of: i) Metals ii) Ceramics and glasses iii) Polymers iv) Composites v) Semiconductors - Processing of materials - Concepts of engineering design of materials - Materials selection with CES software - Lab: i) Tensile Properties of Various Polymeric Materials ii) Dehydration of Ferrous Sulfate Heptahydrate (FeSO4.7H2O) by Thermogravimetric Analysis iii) Determination of Specific Heat Capacity (Cp) of Materials by Differential Scanning Calorimetry (DSC) iv) Crystallinity in Thermoplastics: Application of Polarized Light Microscopy v) Impact testing MATH 119 - Calculus 2 for Engineering -------- -------------------------- - Elementary approximation methods - Interpolation techniques, Lagrange's formula - Newton forward-difference formula - Taylor polynomials, properties, truncation error, Taylor's inequality, Landau order symbol and limit - Infinite, geometric and power series, and applications - Convergence and tests for convergence - Multi-variable calculus: partial derivatives, chain rule - Gradient vectors, directional vectors, Lagrange multipliers - Vector-valued functions, parametric representation of curves - Tangent and normal vectors - Taylor polynomials for two variables - Optimization techniques for the multi-variable case - Double (line) integrals (Type 1, 2 and 3) and applications NE 115 - Probability and Statistics ------ -------------------------- - Elementary probability theory, rules of probability, conditional probability - Bayes' theorem - Random variables - Discrete and continuous probability distributions - Mean, variance and standard deviation - Uniform distributions - Binomial, Poisson and Normal distributions - Normal approximation to binomial and Poisson distributions - Random sampling - Central limit theorem - Point estimation of parameters, statistical and engineering significance - Confidence intervals for mean (variance known and unknown) and variance - Hypothesis testing, one- and two-sided tests for mean (variance known and unknown) - Type 1 and II errors - Sample size determination - Normal probability plots, goodness of fit testing NE 141 - Electromagnetism ------ ---------------- - Coulomb's law - Electric field - Gauss's law - Electric flux - Electrical energy and electric potential - Dielectric materials - Capacitances and capacitors - Poisson's and Laplace's equations - Electric currents and current density - Resistances and resistive material - Ohm's law and current laws - Kirchoff's voltage and current laws - Electrical energy dissipated - Ampere's circuital law - Magnetic materials and magnetic circuits - Magnetization curves and the Hysteresis Loop - Faraday's and Lenz's laws - Inductances - Electric energy stored - Energy as a vector, the Poynting vector 2A - Fall 2006 ============== NE 225 - Structure of Matter: From Nanoscale to Bulk ------ ------------------------------------------- - Fundamentals of bonding in solids: ionic, covalent and metallic - Physical structure of matter: crystalline and non-crystalline solids - Electronegativity - Fundamental of x-ray diffraction theory - Crystal defects - Amorphous materials - Polymers and glasses - Electronic structure of solids - Optical, electronic, magnetic and dielectric materials NE 224 - Biochemistry for Nanotechnology Engineers ------ ----------------------------------------- - Introduction to chemistry of amino acids, carbohydrates, and lipids - Primary, secondary, tertiary and quaternary structure of proteins - Properties of proteins - Structure and function of enzymes - Lab: i) Accurate And Precise Measurement Of Volume (skills practice) ii) Buffers and Buffer Action iii) Protein Assay iv) Protein Purification v) Enzyme Kinetics vi) Plasmid Isolation and Bacterial Transformation NE 232 - Quantum Mechanics ------ ----------------- - Basic postulates of quantum mechanics - State functions - The Scrödinger formalism and the time-independent wave function - Commutation relations - Heisenberg's uncertainty principle - Hamiltonian, position and momentum operators - Eigen functions and eigen values - Particle in a box - Hermitian operators - Wave particle duality - de Broglie waves - Momentum representation of the wave function by Fourier transform - Infinite potential well - Quantum tunneling - Dirac and matrix notation - Quantum mechanical description of hydrogen atom, orbitals - Multi-electron atoms and the periodic table MATH 211 - Advanced Calculus 1 for Engineering -------- ----------------------------------- - Ordinary differential equations - Separable, exact and linear DE's with integrating factor - Homogeneous and inhomogeneous DE's - Principle of linear superposition - Method of undetermined coefficients - Characteristic equations to higher-order DE's - Ordinary second-order DE's with positive, negative and zero discriminants - Boundary value and eigen value problems - Applications to quantum mechanics - Laplace transforms and applications to RLC and mass-spring systems - First-shift and second-shift theorems - Impulse (delta) and Heaviside functions - Convolution integrals and applications - Transfer and response functions - Fourier series and applications to PDE's - Differentiability and integratibility of Fourier series - Parseval's theorem - Power series and Legendre polynomials MSCI 311 - Organization Design and Technology -------- ---------------------------------- - Theories, concepts and research related to structural design and functioning of human organizations - Organizational research - Organizational goals and effectiveness - Bureaucracy - Organizational design fundamentals - Organizational environments - Ashby's law of requisite variety - Technology in organizations MSCI 331 - Operations Research 1 - Intro to Optimization -------- --------------------------------------------- - Introduction to O.R. and O.R. models - Linear programming - Model construction and linear modelling assumptions - Simplex method: pivoting, two-phase algorithm, dual simplex method - Duality: motivation and definitions, duality theorem, complementary-slackness, optimality testing - Primal and dual properties, free variables - Sensitivity analysis: ranging for objective function coefficients and right-hand side of constraints, economic interpretation, shadow pricing and applications - Integer programming and applications - Modelling using 0-1 variables - Branch-and-bound algorithm for integer programming - Balas' additive algorithm for binary programming - Inventory management: fixed and probabilistic demands - Balanced transportation and transshipment problems 2B - Spring 2007 ================ MATH 212 - Advanced Calculus 2 for Engineering -------- ----------------------------------- MSCI 261 - Managerial and Engineering Economics -------- ------------------------------------ NE 226 - Characterization of Materials ------ ----------------------------- NE 233 - Macromolecular Science 1 ------ ------------------------ - Basic definitions, polymer nomenclature - Molecular weight averages and distributions: Mn, Mw, and PDI - Molecular weight determination techniques: viscometry, light-scattering, gel permeation, etc. - Step/condensation polymerization - Free radical polymerization, auto-acceleration, chain transfer reactions, Mayo equation - Emulsion polymerization - Ionic polymerization (anionic and cationic), block co-polymers - Polymer solution and mixture stability NE 242 - Electronic Devices ------ ------------------