Jun 02, 2024  
Undergraduate Calendar 2014-2015 (Fall/Winter) 
    
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Undergraduate Calendar 2014-2015 (Fall/Winter) [-ARCHIVED CALENDAR-]

Course Listings

Please note, when searching courses by “Code or Number”, an asterisk (*) can be used to return mass results. For instance, a “Code or Number” search of ” 2* ” can be entered, returning all level II courses.
 

Materials Science and Engineering {315}

Courses in Materials Science are administered by the Department of Materials Science and Engineering.
John Hodgins Engineering Building, Room 357, ext. 26626
http://mse.mcmaster.ca/

Courses

If no prerequisite is listed, the course is open.

  

  • MATLS 4G03 - Characterization of Nanomaterials

    3 unit(s)

    Interaction of electrons and photons with matter. Imaging methods with electron microscopy, scanning probe techniques, x-ray photoelectron spectroscopy and X-ray absorption analysis with high spatial resolution.
    Three lectures; first term
    Prerequisite(s): Registration in Level III or IV of a program in Chemical Engineering, Honours Chemistry, Engineering Physics, Materials Engineering or Honours Materials Science
    Antirequisite(s): MATLS 4G02
    Offered on an irregular rotation basis. Offered in 2014-2015. Not offered in 2015-2016.
  

  • MATLS 4H03 - Thin Film Science and Engineering

    3 unit(s)

    Deposition and fabrication techniques, surfaces, growth mechanisms, epitaxy, kinetic effects in thin films, defects and properties of thin films. Materials for packaging.
    Three lectures; first term
    Prerequisite(s): Registration in Level IV of Materials Science or Materials Engineering
    Offered on an irregular rotation basis. Not offered in 2014-2015. Offered in 2015-2016.
  

  • MATLS 4I03 - Sustainable Manufacturing Processes

    3 unit(s)

    Sustainable development, materials cycles, methods for measuring environmental impact, life cycle analysis, waste treatment and recycling technologies.
    Two lectures, one tutorial (one hour); second term
    Prerequisite(s): Registration in final or penultimate Level of any Materials Engineering program or permission of instructor or registration in Level IV or above in Civil Engineering
  

  • MATLS 4K06 - Senior Thesis

    6 unit(s)

    Individual experimental research problem with a selected supervisor. A preliminary written and oral report is required at the end of the first term. The thesis is defended orally. A minimum of nine unscheduled hours each week, both terms.
    Prerequisite(s): A CA of at least 8.0; and registration in the final level of a Materials Engineering program or Level IV of Honours Materials Science.
    Antirequisite(s): MATLS 4K04
  

  • MATLS 4L04 - Materials Manufacturing

    4 unit(s)

    A sequence of experiments based on processing methods used in industry.
    One lecture, one lab (three hours); both terms
    Prerequisite(s): Registration in the final Level of a Materials Engineering program
    Antirequisite(s): MATLS 4A02, 4L02
  

  • MATLS 4N03 - Hydrogen, Solar and Nuclear Materials

    3 unit(s)

    Fundamental physics of materials used in non-fossil energy technologies. Solar cells, irradiation damage and nuclear materials, modern battery materials, fuel cells.
    Three lectures; first term
    Prerequisite(s): Registration in Level III or above of any program in Materials Engineering or permission of the instructor or registration in Level IV or above in Civil Engineering
    Offered on an irregular rotation basis. Offered in 2014-2015. Not offered in 2015-2016.
  

  • MATLS 4NN3 - Computational Modelling in Materials Engineering

    3 unit(s)

    Introduction to numerical modeling of heat and mass transfer processes, microstructure development in alloys, interface properties and simple atomic and molecular modelling.
    Three lectures; second term
    Prerequisite(s): MATLS 1M03 , 3T04 ; or registration in a program administered by the Department of Materials Science and Engineering or registration in Level IV or above in Civil Engineering
    Antirequisite(s): MATLS 3N03, 4E04
    Offered on an irregular rotation basis. Not offered in 2014-2015. Offered in 2015-2016.
  

  • MATLS 4P03 - Properties of Polymeric Materials

    3 unit(s)

    Structure of amorphous and crystalline polymeric materials; mechanical, electrical and optical properties, and their modification through processing.
    Three lectures; first term
    Prerequisite(s): CHEM 1AA3  and both MATH 2A03  and 2C03 , or both MATH 2Z03  and 2ZZ3 
    Offered on an irregular rotation basis. Not offered in 2014-2015. Offered in 2015-2016.
    Open to Level III and IV students registered in a program in the Faculty of Science or Engineering with permission of the department.
  

  • MATLS 4R03 - Ceramic Science

    3 unit(s)

    The unique properties of structural and functional ceramics are explored, including ferroelectric, piezoelectric and magnetic ceramics, clays, porcelains and refractories. The importance of processing for achieving properties is emphasized.
    Three lectures; first term
    Prerequisite(s): Registration in a program in Materials Engineering
    Offered on an irregular rotation basis. Not offered in 2014-2015. Offered in 2015-2016.
  

  • MATLS 4T03 - Properties and Processing of Composites

    3 unit(s)

    Intrinsic properties of matrix materials and fibres; mechanics and thermodynamics of interfaces; mechanical properties and fabrication of engineering composites.
    Three lectures; second term
    Prerequisite(s): MATLS 3M03  or registration in Level IV or above in Civil Engineering
    Offered on an irregular rotation basis. Not offered in 2014-2015. Offered in 2015-2016.
  

  • MATLS 4Z06 - Industrial Projects

    6 unit(s)

    Projects, in cooperation with industry, involving materials design in manufacturing, complemented by lectures in group problem solving and design methodology.
    Three labs (three hours each); both terms
    Prerequisite(s): Open to Final Year Materials Students Only
    Antirequisite(s): MATLS 4Z04

Mathematics {320}

Courses in Mathematics are administered by the Department of Mathematics and Statistics.
Hamilton Hall, Room 218, ext. 27034
http://www.math.mcmaster.ca/

Department Notes

  1. Course codes ending with * indicate that the course is not necessarily offered every session; consult the Chair of the Department or the Associate Dean of Science (Academic).
  2. Courses in Mathematics and Statistics are not open to students registered in the Bachelor of Technology (B.Tech.) program.

Courses

If no prerequisite is listed, the course is open.

See also courses in Statistics.
  

  • MATH 1A03 - Calculus For Science I

    3 unit(s)

    For students in science: geared towards applications, with attention to underlying concepts. Functions: limits, continuity, derivatives, optimization, curve sketching. Antiderivative, definite integral, techniques of integration.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of Grade 12 Calculus and Vectors U, Grade 12 Advanced Functions and Introductory Calculus U, MATH 1F03 
    Antirequisite(s): ARTS&SCI 1D06 , MATH 1LS3 , 1N03, MATH 1X03 , 1Z04, MATH 1ZA3 
    Not open to students who have achieved a grade of at least B- in MATH 1M03 .
    Not open to students in Mathematics and Statistics I or an Engineering program or with credit or registration in ISCI 1A24 .
  

  • MATH 1AA3 - Calculus For Science II

    3 unit(s)

    For students in science: additional techniques of integration, applications of definite integrals, differential equations, polar coordinates, parametrized curves. Sequences, infinite series, power series. Partial derivatives, double integrals.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of MATH 1A03 , MATH 1X03 , MATH 1ZA3 ; or a grade of at least B- in MATH 1LS3  or MATH 1M03 
    Antirequisite(s): ARTS&SCI 1D06 , MATH 1LT3 , 1NN3, MATH 1XX3 , MATH 1ZB3 , 1ZZ5
    Not open to students in Mathematics and Statistics I or with credit or registration in ISCI 1A24 .
  

  • MATH 1B03 - Linear Algebra I

    3 unit(s)

    Vector spaces given by solutions to linear systems. Linear independence, dimension. Determinants. Eigenvalues, eigenvectors and diagonalisation. Complex numbers.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of Grade 12 Calculus and Vectors U, Grade 12 Geometry and Discrete U, MATH 1F03 
    Antirequisite(s): MATH 1ZC3 
    Not open to students registered in an Engineering program.
  

  • MATH 1C03 - Introduction to Mathematical Reasoning

    3 unit(s)

    Inquiry into the ideas and methods of advanced mathematics. Material will include topics selected from algebra, calculus, discrete math, geometry and number theory.
    Three hours; one term
    Prerequisite(s): One of Grade 12 Calculus and Vectors U, Grade 12 Geometry and Discrete U, MATH 1F03 ; and credit or registration in MATH 1B03 
  

  • MATH 1F03 - Introduction to Calculus and Analytic Geometry

    3 unit(s)

    A first course in the techniques of the differential calculus including exponential, logarithmic and trigonometric functions. An introduction to vector geometry.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of Grade 12 Advanced Functions U, Grade 12 Advanced Functions and Introductory Calculus U, MATH 1K03 
    Not open to students with credit in Grade 12 Calculus and Vectors U.
  

  • MATH 1K03 - Advanced Functions & Introductory Calculus for Humanities and the Social Sciences

    3 unit(s)

    Properties of polynomial, rational, exponential and logarithmic functions. Derivatives of functions with applications.
    Three lectures, one tutorial; one term
    Prerequisite(s): OSS Grade 11 Mathematics
    Normally not open to students who have completed Grade 12 Calculus and Vectors U, Grade 12 Advanced Functions U or Grade 12 Advanced Functions and Introductory Calculus U.
  

  • MATH 1LS3 - Calculus for the Life Sciences I

    3 unit(s)

    Topics from differential and integral calculus, differential equations, discrete-time dynamical systems, chosen for their relevance to the life sciences.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of Grade 12 Calculus and Vectors U, Grade 12 Advanced Functions and Introductory Calculus U, MATH 1F03 
    Antirequisite(s): MATH 1A03 
    Not open to students with credit or registration in ARTS&SCI 1D06 , ISCI 1A24 , MATH 1M03 , 1N03, 1X03 , 1Z04, 1ZA3 .
  

  • MATH 1LT3 - Calculus for the Life Sciences II

    3 unit(s)

    Applications of integration, autonomous differential equations, functions of several variables; probability as application of calculus. All topics chosen for their relevance to the life sciences.
    Three lectures, one tutorial; one term
    Prerequisite(s): MATH 1LS3 , or a grade of at least B- in MATH 1A03  or 1M03 
    Antirequisite(s): MATH 1AA3 
    Not open to students with credit or registration in ARTS&SCI 1D06 , ISCI 1A24 , MATH 1XX3 , 1ZZ5, 1ZB3 .
  

  • MATH 1M03 - Calculus for Business, Humanities and the Social Sciences

    3 unit(s)

    Integral calculus of polynomial, rational, exponential and logarithmic functions. Optimization problems. Applications in the Social Sciences and Business.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of Grade 12 Calculus and Vectors U, Grade 12 Advanced Functions and Introductory Calculus U, MATH 1F03  or a grade of at least B- in MATH 1K03 
    Students considering upper year mathematics courses should take MATH 1A03.
    Not open to students with credit or registration in ARTS&SCI 1D06 , ISCI 1A24 , MATH 1A03 , 1LS3 , 1N03, 1X03 , 1Z04, 1ZA3 .
  

  • MATH 1X03 - Calculus for Math and Stats I

    3 unit(s)

    For students with interest in mathematics/statistics: emphasis on geometric intuition, but also theoretical foundations. Functions: limits, continuity, derivatives, optimization, curve sketching. Antiderivative, definite integral, techniques of integration.
    Three lectures, one tutorial; one term
    Prerequisite(s): Registration in Math and Stats I
    Antirequisite(s): ARTS&SCI 1D06 , MATH 1A03 , MATH 1LS3 , 1N03, 1Z04, MATH 1ZA3 
    Not open to students with credit or registration in ISCI 1A24 .
  

  • MATH 1XX3 - Calculus for Math and Stats II

    3 unit(s)

    For students in mathematics/statistics. Additional techniques of integration, applications of definite integrals, differential equations, polar coordinates, parametrized curves. Sequences, infinite series, power series. Partial derivatives, double integrals.
    Three lectures, one tutorial; one term
    Prerequisite(s): MATH 1X03  and registration in Math and Stats I
    Antirequisite(s): ARTS&SCI 1D06 , MATH 1AA3 , MATH 1LT3 , 1NN3, MATH 1ZB3 , 1ZZ5
    Not open to students with credit or registration in ISCI 1A24 .
  

  • MATH 1ZA3 - Engineering Mathematics I

    3 unit(s)

    Functions: limits, continuity, derivatives, optimization, curve sketching. Antiderivative, definite integral, techniques of integration, with applications.
    Three lectures, one tutorial, one lab; one term
    Prerequisite(s): Registration in a program in Engineering
    Antirequisite(s): ARTS&SCI 1D06 , MATH 1A03 , MATH 1LS3 , 1N03, 1NN3, MATH 1X03 , 1Z04
    Not open to students with credit or registration in ISCI 1A24 .
  

  • MATH 1ZB3 - Engineering Mathematics II-A

    3 unit(s)

    Techniques of integration, applications of definite integrals, differential equations, polar coordinates, parametrized curves. Sequences, infinite series, power series. Partial derivatives.
    Three lectures, one tutorial, one lab; one term
    Prerequisite(s): MATH 1ZA3 
    Antirequisite(s): ARTS&SCI 1D06 , MATH 1AA3 , MATH 1LT3 , 1N03, 1NN3, MATH 1XX3 , 1ZZ5
    Not open to students with credit or registration in ISCI 1A24 .
  

  • MATH 1ZC3 - Engineering Mathematics II-B

    3 unit(s)

    Vector spaces given by solutions to linear systems. Linear independence, dimension. Determinants. Eigenvalues, eigenvectors and diagonalisation. Complex numbers.
    Three lectures, one tutorial, one lab; one term
    Prerequisite(s): One of Grade 12 Calculus and Vectors U, Grade 12 Geometry and Discrete U, MATH 1F03 
    Antirequisite(s): MATH 1B03 , 1ZZ5
  

  • MATH 2A03 - Calculus III

    3 unit(s)

    Functions of several variables, chain rule, Taylor’s formula, extremal problems, Lagrange multipliers; multiple integrals, change of variables formula, line and surface integrals, Green’s, Gauss’ and Stokes’ theorems.
    Three lectures; one term
    Prerequisite(s): One of MATH 1AA3 , 1LT3 , 1NN3, 1XX3 , 1ZZ5, ARTS&SCI 1D06 , ISCI 1A24 ; and credit or registration in one of MATH 1B03 , 1ZC3 
    Antirequisite(s): ENGINEER 2ZZ3, MATH 2M06, 2MM3, 2Q04, 2ZZ3 
    Not open to students with credit or registration in ISCI 2A18  or MATH 2X03 .
    Students interested in taking upper level mathematics courses should consider MATH 2X03  and 2XX3  instead. MATH 2A03 is not fully equivalent to MATH 2X03  and is not a sufficient prerequisite for MATH 2XX3 .
  

  • MATH 2C03 - Differential Equations

    3 unit(s)

    Ordinary differential equations, Laplace transforms, series solutions, partial differential equations, separation of variables, Fourier series.
    Three lectures; one term
    Prerequisite(s): One of MATH 1AA3 , 1LT3 , 1NN3, 1XX3 , ARTS&SCI 1D06 , ISCI 1A24 ; and one of MATH 1B03 , 1ZC3 
    Antirequisite(s): ENGINEER 2Z03, MATH 2M03, 2M06, 2P04, 2Z03 
  

  • MATH 2ET3 - Theory and Practice of Teaching Mathematics

    3 unit(s)

    This course is designed to give a maximum of 20 students practical experience with teaching mathematics in various contexts. The course is also an introduction to mathematics writing and development of communication skills relevant to mathematics.
    Applications must be submitted to the instructor by May 1 of the preceding year, with selection for placements announced by September 9. See the heading Limited Enrolment Courses in the Faculty of Science section of the Calendar.

    Two lectures, one practicum; one term
    Prerequisite(s): Six units from MATH 1A03 , 1AA3 , 1LS3 , 1LT3 , 1X03 , 1XX3 , 1ZA3 , 1ZB3  with a grade of at least A- in each, or ARTS&SCI 1D06  with a grade of A-, or ISCI 1A24  (with a grade of at least A- in the Math component); and permission of the course instructor

    Enrolment is limited.
  

  • MATH 2FM3 - Introduction To Mathematical Finance

    3 unit(s)

    Nominal and effective rates of interest and discount, forces of interest and discount, compound interest, annuities certain; amortization, sinking funds, bonds, security evaluation, determination of yields.
    Three lectures; one term
    Prerequisite(s): One of MATH 1A03 , 1LS3 , 1M03 , 1N03, 1X03 , 1Z04, 1ZA3 , ARTS&SCI 1D06 , ISCI 1A24 
    Antirequisite(s): MATH 2K03
  

  • MATH 2L03 - Mathematical Methods for Business and Social Sciences

    3 unit(s)

    Selected topics from: linear programming, Markov chains, game theory, differential equations, and the calculus of several variables.
    Three lectures; one term
    Prerequisite(s): One of MATH 1A03 , MATH 1LS3 , MATH 1M03 , 1N03, MATH 1X03 , 1Z04, MATH 1ZA3 , ARTS&SCI 1D06 , ISCI 1A24 
    Not open to students registered in Science or Engineering programs.
  

  • MATH 2R03 - Linear Algebra II

    3 unit(s)

    Abstract vector spaces. Linear transformations. Inner product spaces. Spectral theorems. Orthogonal bases, other topics.
    Three lectures; one term
    Prerequisite(s): One of MATH 1AA3 , 1LT3 , 1NN3, 1XX3 , 1ZB3 , ARTS&SCI 1D06 , ISCI 1A24 ; and one of MATH 1B03 , 1ZC3 , 1ZZ5
  

  • MATH 2S03 - Linear Algebra III

    3 unit(s)

    Canonical forms, determinants, bilinear forms, groups of linear transformations, other topics selected by the instructor.
    Three lectures; one term
    Prerequisite(s): MATH 2R03 
  

  • MATH 2T03 - Introduction to Numerical Analysis

    3 unit(s)

    Introduction to scientific computations using MATLAB; topics to be selected from matrix and vector norms; sensitivity, conditioning, convergence and complexity; direct and iterative methods for linear systems; eigenvalues and eigenvectors; least squares; solution of nonlinear equations; minimization of nonlinear functions.
    Three lectures; one term
    Prerequisite(s): MATH 2R03 
  

  • MATH 2X03 - Advanced Calculus I

    3 unit(s)

    Introduction to the theory of functions of several variables: limits, continuity, differentiability, Taylor’s Theorem, optimization, and integration, with applications.
    Three lectures; one term
    Prerequisite(s): One of MATH 1AA3 , 1LT3 , 1XX3 , 1ZB3 , 1ZZ5, ARTS&SCI 1D06 , ISCI 1A24 ; and one of MATH 1B03 , 1ZC3 
    Not open to students with credit or registration in ISCI 2A18 . Normally not open to students with credit in MATH 2A03 , 2M06, 2MM3, 2Q04, 2ZZ3 .
  

  • MATH 2XX3 - Advanced Calculus II

    3 unit(s)

    Multiple integration, path and surface integrals and applications. Classical integration theorems of vector calculus.
    Three lectures; one term
    Prerequisite(s): MATH 2X03  or ISCI 2A18 
  

  • MATH 2Z03 - Engineering Mathematics III

    3 unit(s)

    Ordinary differential equations, Laplace transforms, eigenvalues and eigenvectors, applications.
    Three lectures, one tutorial, one lab (two hours) every other week; one term
    Prerequisite(s): MATH 1ZC3  or 1ZZ5
    Antirequisite(s): ENGINEER 2Z03, MATH 2C03 , 2M03, 2P04
  

  • MATH 2ZZ3 - Engineering Mathematics IV

    3 unit(s)

    Fourier series, vector calculus, line and surface integrals, integral theorems, partial differential equations, applications.
    Three lectures, one tutorial, one lab (two hours) every other week; one term
    Prerequisite(s): MATH 2Z03 
    Antirequisite(s): ENGINEER 2ZZ3, MATH 2A03 , 2MM3, 2Q04
  

  • MATH 3A03 - Real Analysis I

    3 unit(s)

    Sequences of real numbers; supremum, continuity. Riemann integral, differentiation. Sequences and series of functions; uniform continuity and uniform convergence.
    Three lectures; one term
    Prerequisite(s): MATH 2R03  and 2X03  (or ISCI 2A18 ). Registration in a Level III or above of an Honours program in Mathematics and Statistics is strongly recommended.
    Prerequisite(s)(EFFECTIVE 2015-2016): Registration in a Level III or above of an Honours program in Mathematics and Statistics or permission of the instructor
  

  • MATH 3B03 - Geometry

    3 unit(s)

    Selected topics from: affine and projective geometry, Euclidean, spherical and hyperbolic geometry, differential geometry of curves and surfaces.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03 , ISCI 2A18 ; and MATH 2R03 
  

  • MATH 3C03 - Mathematical Physics I

    3 unit(s)

    Linear algebra and eigenvalue problems, Fourier transforms, special functions, spherical harmonics, partial differential equations, boundary value problems.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , 2MM3, 2Q04, 2X03 , 2Z03 , ISCI 2A18 ; and one of MATH 2C03 , 2M03, 2P04, 2ZZ3 . One of PHYSICS 2B06, 2D03 , PSYCH 2E03  is recommended.
    Not open to students with credit or registration in MATH 3FF3 .
  

  • MATH 3CY3* - Cryptography

    3 unit(s)

    Introduction to cryptosystems used in modern security systems: elementary number theory, primality testing and factorization, discrete logarithm, SRA cryptosystems, elliptic curve cryptosystems.
    Three lectures; one term
    Prerequisite(s): MATH 2R03 
  

  • MATH 3D03 - Mathematical Physics II

    3 unit(s)

    Functions of a complex variable, contour integrals, probability and statistics.
    Three lectures; one term
    Prerequisite(s): MATH 3C03 
    Not open to students with credit or registration in MATH 3X03  or to students registered in Honours Mathematics and Physics.
  

  • MATH 3DC3* - Discrete Dynamical Systems and Chaos

    3 unit(s)

    Iteration of functions: orbits, graphical analysis, fixed and periodic points, stability, bifurcations, chaos, fractals.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03  or ISCI 2A18 
  

  • MATH 3E03 - Algebra I

    3 unit(s)

    An introduction to group theory, including Sylow theorems and structure of finitely generated Abelian groups; applications of group theory.
    Three lectures; one term
    Prerequisite(s): MATH 2R03 
  

  • MATH 3EE3 - Algebra II

    3 unit(s)

    Topics in ring theory and field theory. In particular, principal ideal domains, unique factorization domains, ideals, Hilbert’s Nullstellensatz. Polynomial rings, Galois extensions of fields, Galois groups.
    Three lectures; one term
    Prerequisite(s): MATH 3E03 
  

  • MATH 3ET3 - Mathematics Teaching Placement

    3 unit(s)

    Explore teaching as a profession and integrate academics with a community, volunteer or professional experience. The student will complete an academic component in addition to the placement.
    Students are responsible to arrange a suitable placement and supervision, and are required to submit an application to the Undergraduate Chair in Mathematics and Statistics two months prior to registration.
     

    Normally students complete 60 hours of placement work involving teaching and/or tutoring through the duration of the experience; may be completed over one or two terms
    Prerequisite(s): Registration in Level III or above in an Honours program in Mathematics and Statistics; and permission of the Department of Mathematics and Statistics. MATH 2ET3  is recommended.
  

  • MATH 3F03 - Advanced Differential Equations

    3 unit(s)

    Systems of ordinary differential equations, autonomous systems in the plane, phase portraits, linear systems, stability, Lyapunov’s method, Poincare-Bendixson theorem, applications.
    Three lectures; one term
    Prerequisite(s): MATH 2C03 ; and MATH 2X03  (or MATH 2A03  or ISCI 2A18 ); and credit or registration in MATH 2R03 
  
  

  • MATH 3FM3 - Mathematics of Finance

    3 unit(s)

    Introduction to finance in discrete time: Options and forwards, efficient markets and the no arbitrage condition, binomial asset pricing model, portfolio strategies, stochastic processes, conditional expectation, martingales, optimal portfolio selection, exotic options.
    Three lectures; one term
    Prerequisite(s): One of ISCI 2A18 , MATH 2A03 , 2X03 ; and STATS 2D03 
    Antirequisite(s): MATH 4K03
  

  • MATH 3G03 - Problem Solving

    3 unit(s)

    A course designed to illustrate the principles of mathematical problem solving. Maximum enrolment is 20 students.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03  or ISCI 2A18 ; and MATH 2R03 
  

  • MATH 3GP3* - Geometric Ideas in Physics

    3 unit(s)

    Minkowski space, Lorentz metric, Maxwell’s equations, general relativity, geodesics, curvature, black hole geometries and other selected topics.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03  or ISCI 2A18 ; and MATH 2R03  or credit or registration in MATH 3C03 
  

  • MATH 3H03* - Number Theory

    3 unit(s)

    Selected topics from: congruence and residues, continued fractions, approximation of irrationals, arithmetic in selected quadratic number fields. Diophantine equations, partitions, geometry of numbers, quadratic reciprocity.
    Three lectures; one term
    Prerequisite(s): Credit in at least 12 units of Mathematics or Statistics Level II or above
  

  • MATH 3I03 - Partial Differential Equations for Engineering

    3 unit(s)

    Topics in partial differential equations of interest to mechanical, material and ceramic engineering, including the wave equation, the heat diffusion equation and Laplace equation, in various co-ordinate systems.
    Three lectures; first term
    Prerequisite(s): One of MATH 2M03, 2P04, MATH 2ZZ3  or registration in Level III or IV of a program in the Department of Materials Science and Engineering
  

  • MATH 3MB3 - Introduction to Modelling

    3 unit(s)

    Introduction to computational modelling using software such as R or MATLAB. Analytical modelling using algebra and calculus. The development and analysis of models will be illustrated with examples selected from biology, medicine, chemistry, physics, economics, or other areas of natural or social sciences.
    Three lectures, one lab (one hour); one term
    Prerequisite(s): One of MATH 1AA3 , 1LT3 , 1XX3 , ARTS&SCI 1D06 , ISCI 1A24 ; and one of MATH 1B03 , 1ZC3 , 1ZZ5
    Antirequisite(s): MATH 2E03
  

  • MATH 3Q03 - Numerical Explorations

    3 unit(s)

    Scientific computations using MATLAB covering the following topics: spline interpolations; approximation in Hilbert space; orthogonal polynomials; wavelets; numerical differentiation and integration; numerical methods for differential equations.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03  or ISCI 2A18 
  

  • MATH 3QC3* - Introduction to Quantum Computing

    3 unit(s)

    Postulates of quantum mechanics for finite dimensional systems; information on quantum bits, logical operations and quantum gates; quantum parallelism and complexity theory; examples of quantum algorithms.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03  or ISCI 2A18 ; and MATH 2R03 
  

  • MATH 3T03 - Inquiry in Topology

    3 unit(s)

    Size and shape in topology and analysis, compactness, connectedness, limit sets, theory of dimension, fractals and self-similarity.
    Three lectures; one term
    Prerequisite(s): MATH 2X03  (or ISCI 2A18 )
  

  • MATH 3TP3* - Truth and Provability: Gödel’s Incompleteness Theorems

    3 unit(s)

    The goal is to inquire into Gödel’s proof of incompleteness; in any sufficiently powerful axiom system there will be statements which are true but not provable.
    Three lectures; one term
    Prerequisite(s): MATH 2R03 
  

  • MATH 3U03* - Combinatorics

    3 unit(s)

    Inversion formulae, systems of distinct representatives, block designs and other configurations; other topics.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03  or ISCI 2A18 ; and MATH 2R03 
    Antirequisite(s): MATH 4C03
  

  • MATH 3V03* - Graph Theory

    3 unit(s)

    Graphs, trees, bipartite graphs, connectivity, graph colouring, matrix representations, applications.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03 , MATH 2X03  or ISCI 2A18 ; and MATH 2R03 
  

  • MATH 3X03 - Complex Analysis I

    3 unit(s)

    Analytic functions, Cauchy’s theorem, Cauchy’s integral formula, residues, zeroes of analytic functions; Laurent series, the maximum principle.
    Three lectures; one term
    Prerequisite(s): MATH 2R03  and MATH 2XX3 
  

  • MATH 3Z03 - Inquiry: History of Mathematics

    3 unit(s)

    An introduction to the history of mathematics, including interaction with other phases of culture, with special emphasis on the past three centuries.
    Three lectures; one term
    Prerequisite(s): At least two Level II Mathematics or Statistics courses other than MATH 2K03, MATH 2L03 
    Enrolment is limited.
  

  • MATH 4A03 - Real Analysis II

    3 unit(s)

    Metric spaces, compactness. Spaces of continuous functions, functions of several variables, inverse and implicit function theorems. Lebesgue integration.
    Three lectures; one term
    Prerequisite(s): MATH 3A03 
    Antirequisite(s): MATH 3AA3
  

  • MATH 4AT3* - Topics in Analysis

    3 unit(s)

    Precise topics will vary; consult the department for current information. Possible topics include: functional analysis, measure theory, harmonic analysis, calculus of variations, theory of distributions.
    Three lectures; one term
    Prerequisite(s): Permission of the instructor
    MATH 4AT3 may be repeated, if on a different topic.
  

  • MATH 4B03 - Calculus on Manifolds

    3 unit(s)

    Review of multivariable calculus, basic properties of manifolds, differential forms, Stokes’ theorem, de Rham cohomology and applications.
    Three lectures; one term
    Prerequisite(s): MATH 3A03  or MATH 3C03 
  

  • MATH 4BT3* - Topics in Geometry

    3 unit(s)

    Precise topics will vary; consult the department for current information. Possible topics include: differential geometry, riemannian metrics, connections, curvature, geodesics, topological and analytic properties of Riemannian manifolds.
    Three lectures; one term
    Prerequisite(s): Permission of the instructor
    MATH 4BT3 may be repeated, if on a different topic.
  

  • MATH 4E03 - Galois Theory

    3 unit(s)

    Field extensions, splitting fields, normality and separability, Galois extensions, finite fields, solvability by radicals, cyclic extensions, cyclotomic extensions, algebraic closure, classical constructions, computations of Galois groups.
    Three lectures; one term
    Prerequisite(s): MATH 3E03 
  

  • MATH 4ET3* - Topics in Algebra

    3 unit(s)

    Precise topics will vary; consult the department for current information. Possible topics include: algebraic geometry, algebraic number theory.
    Three lectures; one term
    Prerequisite(s): Permission of the instructor
    MATH 4ET3 may be repeated, if on a different topic.
  

  • MATH 4FM3 - Financial Markets and Derivatives

    3 unit(s)

    Modelling of options, futures, interest rate securities and other financial derivatives in continuous time using Brownian motion and stochastic calculus. Topics include risk-neutral pricing, the Black-Scholes framework, dynamic hedging, volatility and risk.
    Three lectures; one term
    Prerequisite(s): MATH 3FM3 
  

  • MATH 4FT3* - Topics in Differential Equations (Stability and Bifurcations)

    3 unit(s)

    Topics to be selected from the theory of ordinary differential equations, bifurcation and stability, and partial differential equations.
    Three lectures; one term
    Prerequisite(s): Permission of the instructor
    MATH 4FT3 may be repeated, if on a different topic.
  

  • MATH 4L03* - Introduction to Mathematical Logic

    3 unit(s)

    First order logic, deduction systems, completeness and compactness theorems, model theory.
    Three lectures; one term
    Prerequisite(s): MATH 3E03 
  

  • MATH 4LT3* - Topics in Logic

    3 unit(s)

    Precise topics will vary; consult the department for current information. Possible topics include: axiomatic set theory, computability theory, model theory or proof theory.
    Three lectures; one term
    Prerequisite(s): Permission of the instructor
    MATH 4LT3 may be repeated, if on a different topic.
  

  • MATH 4MB3 - Mathematical Biology

    3 unit(s)

    Population dynamics: models of discrete and continuous growth; competition and predation; epidemic models. Other topics selected by instructor.
    Three lectures; one term
    Prerequisite(s): MATH 3F03 
    Antirequisite(s): MATH 3N03
  

  • MATH 4P06 - Senior Research Project

    6 unit(s)

    A project in pure or applied mathematics or statistics to be carried out under the supervision of a faculty member from the Department of Mathematics and Statistics. A written report and oral presentation will be required.
    One occasional tutorial; two terms
    Prerequisite(s): Registration in Level IV of any Honours Mathematics and Statistics program; and a CA of at least 9.0; and permission of the Chair of the Department
    Not open to students with credit or registration in ISCI 4A12 .
  

  • MATH 4Q03 - Numerical Methods for Differential Equations

    3 unit(s)

    Approximation error; methods for ordinary differential equations, stiffness; iterative methods for boundary value problems; weighted residuals; spectral methods; methods for partial differential equations, accuracy, consistency, convergence; stability analysis.
    Three lectures; second term
    Prerequisite(s): Credit or registration in MATH 3C03  or MATH 3FF3 ; or permission of the instructor
  

  • MATH 4TT3* - Topics in Topology

    3 unit(s)

    Precise topics will vary; consult the department for current information. Possible topics include: fundamental group and covering spaces, cell complexes and homology theory, theory of knots, links, and braids.
    Three lectures; one term
    Prerequisite(s): Permission of the instructor
    Antirequisite(s): MATH 4T03
    MATH 4TT3 may be repeated, if on a different topic.
  

  • MATH 4W03 - Reading in Mathematics

    3 unit(s)

    Directed reading in areas of mathematics of interest to the student and the instructor.
    Prerequisite(s): Permission of the Chair of the Department
    MATH 4W03 may be repeated, if on a different topic.
  

  • MATH 4WW3 - Reading in Mathematics II

    3 unit(s)

    Directed reading in areas of mathematics of interest to the student and the instructor.
    Prerequisite(s): Permission of the Chair of the Department
  

  • MATH 4X03 - Complex Analysis II

    3 unit(s)

    Conformal maps, analytic continuation, harmonic functions, the Riemann mapping theorem, Riemann surfaces.
    Three lectures; one term
    Prerequisite(s): MATH 3X03 

McMaster English Language Development Diploma (MELD)

Department of Linguistics and Languages (Faculty of Humanities)

(+1) 905-525-9140 Ext. 24388
Email: meld@mcmaster.ca
Web: http://meld.mcmaster.ca

Note

All MELD courses require registration in the McMaster English Language Development Diploma program.

 

Courses
  

  • MELD 1A03 - Academic Writing and Integrity

    3 unit(s)

    A writing course that focuses on the development of grammatically, lexically and stylistically appropriate English for writing summaries and short academic texts. Includes workshops on academic integrity.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1AA3 - Advanced Academic Writing

    3 unit(s)

    A writing course that focuses on the development of the appropriate language (grammar, vocabulary, style) and structure for essays and reports. Includes workshops on documenting sources and citation styles.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development (MELD) Diploma program
  

  • MELD 1B03 - English Phonetics and Pronunciation

    3 unit(s)

    This course offers an overview of the principal differences in varieties of Standard English, with a focus on Canadian English. Students are given opportunities to examine and practise their spoken language skills in English through short individual and collaborative presentations.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1BB3 - Advanced Speaking and Presentation Skills

    3 unit(s)

    Students build appropriate speaking skills through a variety of individual and collaborative speaking and presentation exercises, based on academic content (oral reports, article summaries, video blogs, formal presentations).
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1C03 - Academic Reading and Listening Skills

    3 unit(s)

    In this course students summarize and critically evaluate (both orally and in writing) a variety of texts in advanced English. The texts to be evaluated are both written and spoken.
    Five hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1CC3 - Advanced Academic Reading Skills

    3 unit(s)

    This course further develops students’ skills in academic writing. The focus in this course is on the comprehension and critical evaluation of scholarly articles and texts from a range of disciplines.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1D03 - Social Perspectives on Language

    3 unit(s)

    An exploration of a variety of language registers and styles. Topics explored through role-playing, the collaboration of bridging peers, and guest speakers.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1DD3 - Academic Success

    3 unit(s)

    This course covers a variety of aspects of the university system and strategies for dealing with challenges that may arise, such as note-taking, time management, and studying for exams.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program

Mechanical Engineering {330}

Courses in Mechanical Engineering are administered by the Department of Mechanical Engineering.
John Hodgins Engineering Building, Room 316, ext. 24294
http://mech.mcmaster.ca/

Department Note

Enrolment in Mechanical Engineering courses by students in programs other than those administered by the Department may be restricted.

Courses

If no prerequisite is listed, the course is open.

  

  • MECH ENG 2A03 - Design Communication

    3 unit(s)

    Concept Sketching, Use of Colour and Texture, Formal Mechanical Engineering Drawings, Geometric Dimensioning and Tolerancing, and Technical Writing Communication.
    Three lectures, one lab (one hour); first term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering program or Honours Art Program
  

  • MECH ENG 2B03 - Mechanical Engineering Measurements

    3 unit(s)

    Static and dynamic characteristics of instruments, statistical analysis of measurement errors, variable conversion elements and signal amplification. Metrology, measurement of strain and force, pressure, flow, temperature and power.
    Two lectures, one lab (three hours every other week); second term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering or Mechatronics Engineering program
    Antirequisite(s): MECH ENG 2B02
  

  • MECH ENG 2C04 - Mechanical Engineering Design I

    4 unit(s)

    Design/Build/Test projects involving synthesis, modelling, and analysis.
    Two lectures, one lab (two hours); second term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering program or Honours Art Program
    Antirequisite(s): MECH ENG 2C03
  

  • MECH ENG 2D03 - Mechanical Engineering Design Elements

    3 unit(s)

    Design synthesis, fundamental principles of standard design elements, mechanical and fluid power elements, formal mechanical design drawing requirements, component specification and optimization.
    Three lectures, one tutorial; first term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering program or Honours Art Program
  

  • MECH ENG 2P04 - Statics and Mechanics of Materials

    4 unit(s)

    Principles of statics as applied to deformable solid bodies. Stress and strain, elastic behaviour of simple members under axial force, bending and torsion. Principal stresses; statical indeterminacy.
    Three lectures, plus one unit comprising tutorials or lectures devoted to applications at the discretion of the instructor; first term
    Prerequisite(s): PHYSICS 1D03  and registration in Level II of any Mechanical Engineering program
    Antirequisite(s): ENGINEER 2P04 
  

  • MECH ENG 2Q04 - Engineering Mechanics: Kinetics and Dynamics

    4 unit(s)

    Kinematics and dynamics of particles and rigid bodies. Analysis of planar mechanisms. Displacement, velocity and acceleration analysis methods. Motion with respect to a rotating frame reference. Work, energy and momentum principles.
    Three lectures, plus one unit comprising tutorials or lectures devoted to applications at the discretion of the instructor; first term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering program
    Antirequisite(s): CIV ENG 2Q03 , 2Q04, ENGINEER 2Q04, MECH ENG 2QA4 , 2QR4
  

  • MECH ENG 2QA4 - Engineering Mechanics: Kinetics and Dynamics

    4 unit(s)

    Kinematics and dynamics of particles and rigid bodies. Analysis of planar mechanisms. Displacement, velocity and acceleration analysis methods. Motion with respect to a rotating frame reference. Work, energy and momentum principles.
    Three lectures, plus one unit comprising tutorials or lectures devoted to applications at the discretion of the instructor; first term
    Prerequisite(s): Registration in Level II of any Mechatronics Engineering program
    Antirequisite(s): CIV ENG 2Q03 , 2Q04, ENGINEER 2Q04, MECH ENG 2Q04 , 2QR4
  

  • MECH ENG 2W04 - Thermodynamics

    4 unit(s)

    Introduction to the principles of thermodynamics, and applications in engineering. Basic concepts: energy systems, properties of pure substances, entropy. Laws of thermodynamics, power and refrigeration cycles.
    Three lectures, one tutorial (two hours); second term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering program
    Antirequisite(s): ENGINEER 2H03 , 2W04
  

  • MECH ENG 3A03 - Engineering Mechanics

    3 unit(s)

    Singularity functions, generalized Hooke’s law; shear stress, shear flow in beams; shear centre. Biaxial and unsymmetrical bending, analysis of indeterminate beams and frames using energy methods, impact loads. Buckling of compression members. Introduction to yield criteria.
    Three lectures, one tutorial; second term
    Prerequisite(s): ENGINEER 2P04  or MECH ENG 2P04  and registration in any Mechanical Engineering program
  

  • MECH ENG 3C03 - Manufacturing Engineering

    3 unit(s)

    A general introduction, encompassing the wide field of activities from iron and steel making through casting, rolling, forging, to cold forming, metal cutting, welding, bonding, electrical machining, surface treatment, mechanical handling, assembly, cleaning, packaging.
    Three lectures; first term
    Prerequisite(s): Registration in any Mechanical Engineering or Chemical Engineering program, or, registration in Level III or IV of the Manufacturing Engineering Technology program.
    Cross-list(s): MAN TECH 3MF3 
    This course is administered by the Department of Mechanical Engineering.
  

  • MECH ENG 3E05 - Mechanical Engineering Design II

    5 unit(s)

    3-D stress transformation, curved beams, thick walled pressure vessels, contact stresses, fatigue, bolted and welded joints, machine elements. The laboratories feature a major design project from concept development through analysis to formal report preparation.
    Four lectures, one lab (two hours); second term
    Prerequisite(s): ENGINEER 2P04  or MECH ENG 2P04 ; MECH ENG 2Q04  or 2QA4 , and MECH ENG 3A03 
    Antirequisite(s): MECH ENG 3E04
  

  • MECH ENG 3F04 - Modelling and Numerical Solutions

    4 unit(s)

    An introductory course in numerical analysis covering such topics as numerical differentiation, integration, curve-fitting and the solution of differential equations and systems of linear and non-linear equations.
    Four lectures; first term
    Prerequisite(s): Registration in any Mechanical Engineering program
  

  • MECH ENG 3M03 - Composite Laboratory

    3 unit(s)

    Laboratory exercises in fluid mechanics, thermodynamics, solid mechanics, and machining processes.
    One lab (three hours); both terms
    Prerequisite(s): Registration in any Mechanical Engineering program
    Antirequisite(s): MECH ENG 3M02
 

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