Jun 28, 2024  
Undergraduate Calendar 2019-2020 
    
Catalog Navigation
  Calendar Home
  Academic Regulations
  Sessional Dates
  Programs (by Faculty) and Faculty Information
  Programs (by Degree) and Minors
  Interdisciplinary Minors and Thematic Areas
  Certificate and Diploma Programs
  Course Listings
  Admission, Application and Financial Aid Information
  Governing Bodies and Emeriti
  Contact Us
  Glossary
  PDF Version and Archive
  My Favourites
HELP
Undergraduate Calendar 2019-2020 [-ARCHIVED CALENDAR-]

Course Listings

The courses listed in this section include all courses approved for the undergraduate curriculum for the 2019-2020 academic year. Not all courses in the approved curriculum will be offered during the year. Students are advised to refer to the course timetables available annually in Mosaic in March and June to determine which specific courses will be offered in the upcoming sessions.
Note: An A/B suffix appearing in a course number indicates that the course may be delivered across more than one term (see Multi-Term Course in the Glossary  of this calendar). The A/B S suffix indicates that the course may be delivered as either a multi-term course or within a single term. 

See also:

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

Mathematics

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 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): MCR3U (or equivalent)
    Normally not open to students who have completed Grade 12 Calculus and Vectors U, Grade 12 Advanced Functions U; or credit or registration in MATH 1A03, 1F03, 1LS3, 1M03, 1ZA3.
  

  • 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): Grade 12 Calculus and Vectors U or MATH 1F03 
    Antirequisite(s): MATH 1A03 
    Not open to students with credit or registration in ARTSSCI 1D06 A/B , ISCI 1A24 A/B , 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 ARTSSCI 1D06 A/B , ISCI 1A24 A/B , 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, 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 ARTSSCI 1D06 A/B , ISCI 1A24 A/B , MATH 1A03 , 1LS3 , 1N03, 1X03 , 1Z04, 1ZA3 .
  

  • MATH 1MP3 - Introduction to Mathematical Scientific Computation

    3 unit(s)
    Introduction to mathematical problem-solving using computational methods. Introduction to a programming language; good scientific programming practices.
    Three lectures, one lab; one term
    Prerequisite(s): Credit or registration in one of MATH 1A03 , 1LS3 , 1X03  (or ISCI 1A24 A/B ); and registration in a program in the Faculty of Science 
    Not open to students with credit or registration in COMPSCI 1MD3  or ENGINEER 1D04 .
  

  • MATH 1X03 - Calculus for Math and Stats I

    3 unit(s)
    Algebraic, geometric and numeric approaches to calculus, development of mathematical thinking, intuition and theoretical foundations. Functions: limits, continuity, derivatives, applications. Antiderivative, definite integral, integration techniques.
    Three lectures, one tutorial; one term
    Prerequisite(s): Registration in Level I Math and Stats
    Antirequisite(s): ARTSSCI 1D06 A/B , MATH 1A03 , MATH 1LS3 , 1N03, 1Z04, 1ZA3 
    Not open to students with credit or registration in ISCI 1A24 A/B.
  

  • 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 Level I Math and Stats
    Antirequisite(s): ARTSSCI 1D06 A/B , MATH 1AA3 , 1LT3 , 1NN3, 1ZB3 , 1ZZ5
    Not open to students with credit or registration in ISCI 1A24 A/B.
  

  • 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): ARTSSCI 1D06 A/B , MATH 1A03 , 1LS3 , 1N03, 1NN3, 1X03 , 1Z04
    Not open to students with credit or registration in ISCI 1A24 A/B .
  

  • 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): ARTSSCI 1D06 A/B , MATH 1AA3 , 1LT3 , 1N03, 1NN3, 1XX3 , 1ZZ5
    Not open to students with credit or registration in ISCI 1A24 A/B .
  

  • 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, MATH 1F03 , or credit or registration in MATH 1ZA3 
    Antirequisite(s): MATH 1B03 , 1ZZ5
  

  • MATH 2C03 - Introduction to Differential Equations

    3 unit(s)
    First order ordinary differential equations and higher order linear ordinary differential equations including Laplace transforms and series solutions.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of MATH 1AA3 , 1LT3 , 1NN3, 1XX3 , 1ZB3 , ARTSSCI 1D06 A/B , ISCI 1A24 A/B ; 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.
    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 ARTSSCI 1D06 A/B  with a grade of A-, or ISCI 1A24 A/B  (with a grade of at least A- in the Math component); and permission of the course instructor
  

  • 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 tutorial; one term
    Prerequisite(s): One of MATH 1A03 , 1LS3 , 1M03 , 1N03, 1X03 , 1Z04, 1ZA3 , ARTSSCI 1D06 A/B , ISCI 1A24 A/B 
    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 , 1LS3 , 1M03 , 1N03, 1X03 , 1Z04, 1ZA3 , ARTSSCI 1D06 A/B , ISCI 1A24 A/B 
    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 tutorial; one term
    Prerequisite(s): One of MATH 1AA3 , 1LT3 , 1NN3, 1XX3 , 1ZB3 , ARTSSCI 1D06 A/B , ISCI 1A24 A/B ; and one of MATH 1B03 , 1ZC3 , 1ZZ5
  

  • MATH 2UU3 - Numbers for Life

    3 unit(s)
    Principles of quantitative reasoning, problem-solving and critical thinking, discussed in contexts related to, and relevant for, our daily lives, our society and the environment we live in. Content delivered through lecture and class discussion in an engaging and non-threatening way. Course develops core competencies often referred to as numeracy, or numeric literacy.
    Three lectures; one term
  

  • MATH 2X03 - Advanced Calculus I

    3 unit(s)
    Multiple integration, line and surface integrals and applications. The classical integration theorems of Green, Gauss and Stokes.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of MATH 1AA3, 1LT3, 1XX3, 1ZB3, 1ZZ5, ARTSSCI 1D06 A/B, ISCI 1A24 A/B; and credit or registration in one of MATH 1B03, 1ZC3
    Students who have completed MATH 1LS3 and 1LT3 should contact the Associate Chair, in Mathematics and Statistics, to discuss the recommended independent learning needed for success in MATH 2X03.
    Not open to students with credit or registration in ISCI 2A18 A/B.
    Not open to students with credit in MATH 2A03, 2M06, 2MM3, 2Q04, 2ZZ3.
  

  • MATH 2XX3 - Advanced Calculus II

    3 unit(s)
    Theory of functions of several variables: limits, continuity, differentiability, Inverse Function Theorem, Taylor’s Theorem. Extreme values, optimization, introduction to Fourier series.
    Three lectures, one tutorial; one term
    Prerequisite(s): MATH 2X03 ; or credit or registration in ISCI 2A18 A/B  
  

  • MATH 2Z03 - Engineering Mathematics III

    3 unit(s)
    Ordinary differential equations, Laplace transforms, introduction to partial differential equations, applications.
    Three lectures, one tutorial, one lab (two hours) every other week; one term
    Prerequisite(s): MATH 1ZB3 or 1ZC3
    Prerequisite(s) (EFFECTIVE 2020-2021): MATH 1ZB3
    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, applications.
    Three lectures, one tutorial, one lab (two hours) every other week; one term
    Prerequisite(s): MATH 1ZB3; and MATH 1ZC3 or MATH 1ZZ5
    Antirequisite(s): ENGINEER 2ZZ3, MATH 2A03, 2MM3, 2Q04
  

  • MATH 3A03 - Introduction to Real Analysis

    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 tutorial; one term
    Prerequisite(s): Registration in Level III or above of an Honours program in Mathematics and Statistics; or MATH 2R03 and 2X03; or permission of the instructor
    Prerequisite(s) (EFFECTIVE 2020-2021): MATH 1C03, 2R03, 2X03; or registration in 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, 2X03 , ISCI 2A18 A/B ; and MATH 2R03  
  

  • MATH 3C03 - Mathematical Physics I

    3 unit(s)
    Eigenvalue problems, Fourier transforms, special functions, spherical harmonics, partial differential equations, boundary value problems.
    Three lectures, one tutorial; one term
    Prerequisite(s): One of MATH 2A03, 2MM3, 2Q04, 2X03 , 2Z03 , ISCI 2A18 A/B ; and one of MATH 2C03 , 2M03, 2P04, 2ZZ3 . One of PHYSICS 2B06, 2D03, 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. This course includes a scientific communication component.
    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 tutorial; 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, Julia sets. This course includes a scientific communication component.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03, 2X03, 2ZZ3, or ISCI 2A18 A/B
  

  • MATH 3ET3 A/B S - 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. This course includes a scientific communication component.
    Students are responsible to arrange a suitable placement and supervision, and are required to submit an application to the Science Career and Cooperative Education 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.
    A maximum of three units of MATH 3ET3 A/B S may be used toward the Mathematics and Statistics requirements of the degree. With permission, MATH 3ET3 A/B S may be repeated, to a total of six units, if the placement is deemed sufficiently different from the first experience.
  

  • MATH 3F03 - Ordinary 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 tutorial; one term
    Prerequisite(s): MATH 1C03, 2C03; and MATH 2X03 (or MATH 2A03 or ISCI 2A18 A/B); and credit or registration in MATH 2R03
  

  • MATH 3FF3 - Partial Differential Equations

    3 unit(s)
    First order equations, well-posedness, characteristics, wave equation, heat equation, Laplace equation, boundary conditions, Fourier series, applications.
    Three lectures; one term
    Prerequisite(s): MATH 2C03 ; and 2R03 ; and 2XX3  (or 2A03 or ISCI 2A18 A/B )
  

  • 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 A/B , 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. This course includes a scientific communication component. Maximum enrolment is 20 students.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03, MATH 2X03 or ISCI 2A18 A/B; and MATH 2R03
  

  • MATH 3GR3 - Abstract Algebra

    3 unit(s)
    An introduction to groups and rings, with an emphasis on concrete examples. Topics include: groups, subgroups, normal subgroups, quotient groups, group homomorphisms, First Isomorphism Theorem for groups, symmetric and alternating groups, rings, subrings, ideals, quotient rings, ring homomorphisms, and the First Isomorphism for rings.
    Three lectures, one tutorial (one hour); one term
    Prerequisite(s): MATH 2R03
    Prerequisite(s) (EFFECTIVE 2020-2021): MATH 1C03, 2R03
    Antirequisite: MATH 3E03
  

  • 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, one tutorial; first term
    Prerequisite(s): One of MATH 2M03, 2P04, 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. This course includes a scientific communication component.
    Three lectures, one lab (one hour); one term
    Prerequisite(s): One of MATH 1AA3, 1LT3, 1XX3, ARTSSCI 1D06 A/B, ISCI 1A24 A/B; and one of MATH 1B03, 1ZC3, 1ZZ5
    Antirequisite(s): MATH 2E03
  

  • MATH 3NA3 - Numerical Linear Algebra

    3 unit(s)
    Conditioning and numerical stability, rounding and truncation errors, convergence rates, linear and nonlinear systems of equations, eigenvalue problems, least squares, QR and singular-value decomposition, optimization.
    Three lectures; one term
    Prerequisite(s): MATH 2R03  and one of MATH 1MP3 , COMPSCI 1MD3 , PHYSICS 2G03  
    Antirequisite(s): MATH 2T03
  

  • 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. This course includes a scientific communication component.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03, 2X03 or ISCI 2A18 A/B; 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 A/B)
    Prerequisite(s) (EFFECTIVE 2020-2021): MATH 1C03, 2X03 (or ISCI 2A18 A/B)
  

  • 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
    Prerequisite(s) (EFFECTIVE 2020-2021): MATH 1C03
  

  • MATH 3U03 - Combinatorics

    3 unit(s)
    Inversion formulae, systems of distinct representatives, block designs and other configurations; other topics. This course includes a scientific communication component.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03, 2X03 or ISCI 2A18 A/B; and MATH 2R03
    Antirequisite(s): MATH 4C03
  

  • MATH 3V03 - Graph Theory

    3 unit(s)
    Graphs, trees, bipartite graphs, connectivity, graph colouring, matrix representations, applications. This course includes a scientific communication component.
    Three lectures; one term
    Prerequisite(s): One of MATH 2A03, 2X03 or ISCI 2A18 A/B; 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 tutorial; one term
    Prerequisite(s): MATH 2R03  and 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. This course includes a scientific communication component.
    Three lectures; one term
    Prerequisite(s): At least two Level II Mathematics or Statistics courses other than MATH 2K03, MATH 2L03
  

  • 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): One of MATH 3A03 , 3B03 , 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)
    An introduction to Galois Theory. Topics include: 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  or 3GR3 
  

  • 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, computational commutative algebra.
    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. This course includes a scientific communication component.
    Three lectures; one term
    Prerequisite(s): MATH 3FM3
  

  • MATH 4FT3 - Topics in Differential Equations

    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 4GR3 - Groups and Rings

    3 unit(s)
    Further topics in group theory and ring theory. Topics include: direct products, Fundamental Theorem of Finite Abelian Groups, Sylow Theorems, free groups, group presentations, fields and integral domains, special integral domains (Euclidean, principal ideal, unique factorization), fields of fractions of integral domains, polynomial rings in many variables, and additional topics at the discretion of the instructor (e.g., Groebner bases, algebraic coding theory.)
    Three lectures; one term
    Prerequisite(s): MATH 3E03 or 3GR3  
  

  • 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 or 3GR3  
  

  • 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 4NA3 - Numerical Methods for Differential Equations

    3 unit(s)
    Interpolation and approximation, numerical differentiation and integration, numerical methods for ODEs: initial-value and boundary-value problems, finite-difference methods for PDEs, selected advanced numerical methods.
    Three lectures; one term
    Prerequisite(s): MATH 2C03 ; and MATH 3NA3  or 3Q03
    Antirequisite(s): MATH 3Q03
  

  • MATH 4P06 A/B S - Senior Research Project

    6 unit(s)
    A project in pure or applied mathematics 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. This course includes a scientific communication component.
    One occasional tutorial; two terms
    Prerequisite(s): Registration in Level IV of any Honours Mathematics and Statistics program; and a GPA of at least 9.0; and permission of the Chair of the Department
    Not open to students with credit or registration in STATS 4T06 A/B or ISCI 4A12 A/B.
  

  • 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. This course includes a scientific communication component.
    Prerequisite(s): GPA of at least a 7.0 and 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. This course includes a scientific communication component.
    Prerequisite(s): GPA of at least 7.0 and permission of the Chair of the Department
    MATH 4WW3 may be repeated, if on a different topic.
  

  • 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

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 enrolment 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 a focus 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 analysing charts/graphs. Includes a focus 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 speech features of contemporary spoken English, with a focus on Canadian English. Students are given opportunities to examine and practise their spoken language skills for a variety of contexts and are introduced to academic 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, audio/video recordings, formal presentations.)
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1C03 - Academic Reading 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 represent a range of academic disciplines.
    Four 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)
    Through introductory lectures on sociolinguistic aspects of English, students develop socio-pragmatic awareness of communication, and listening and note-taking strategies for university lectures. This course also covers general strategies for academic success.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1DD3 - Advanced Academic Listening Skills

    3 unit(s)
    Students build on the lecture-listening skills developed in 1D03 by moving through advanced academic content, representing a range of disciplines. The focus is on oral academic communication (e.g., discussions) and the development of superior listening, note-taking and studying skills.
    Four hours; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1L00 - Linguistics Lab 1

    0 unit(s)
    Compulsory weekly meetings for academic support for the degree credit course in MELD. This hour is in addition to three hours (lecture) of the credit course.
    One hour; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1LL0 - Linguistics Lab 2

    0 unit(s)
    Compulsory weekly meetings for academic support for the degree credit course in MELD. This hour is in addition to three hours (lecture) of the credit course.
    One hour; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1M00 - Mentorship Lab 1

    0 unit(s)
    Compulsory weekly mentorship meetings aimed at promoting cultural awareness.
    One hour; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program
  

  • MELD 1MM0 - Mentorship Lab 2

    0 unit(s)
    Compulsory weekly mentorship meetings aimed at promoting cultural awareness.
    One hour; one term
    Prerequisite(s): Registration in the McMaster English Language Development Diploma (MELD) program

Mechanical Engineering

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.

  

  • MECHENG 2A03 - Design Communication

    3 unit(s)
    Formal mechanical engineering drawings, views, dimensioning and tolerancing, technical illustrations and symbols and written or oral technical communication.
    Three lectures, plus one tutorial or lecture (one hour) devoted to applications at the discretion of the instructor; first term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering program or Honours Art Program
  

  • MECHENG 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 program
    Antirequisite(s): MECHENG 2BA3  
  

  • MECHENG 2BA3 - 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 Mechatronics Engineering program
    Antirequisite(s): MECHENG 2B03  
  

  • MECHENG 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
  

  • MECHENG 2D03 - Mechanical Engineering Design Elements

    3 unit(s)
    Design synthesis, fundamental principles of standard design elements, mechanical and fluid power elements, component specification and optimization.
    Three lectures, one tutorial; first term
    Prerequisite(s): Registration in Level II of any Mechanical Engineering program
    Antirequisite(s): MECHENG 2DA3  
  

  • MECHENG 2DA3 - Mechanical Engineering Design Elements

    3 unit(s)
    Design synthesis, fundamental principles of standard design elements, mechanical and fluid power elements, component specification and optimization.
    Three lectures, one tutorial; second term
    Prerequisite(s): Registration in Level III of any Mechatronics Engineering program
    Antirequisite(s): MECHENG 2D03  
  

  • MECHENG 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): CIVENG 2P04  , ENGINEER 2P04  
  

  • MECHENG 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): CIVENG 2Q03 , 2Q04, ENGINEER 2Q04, MECHENG 2QA4 , 2QR4
  

  • MECHENG 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): CIVENG 2Q03 , 2Q04, ENGINEER 2Q04, MECHENG 2Q04 , 2QR4
  

  • MECHENG 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  , ENGPHYS 2NE3  
  

  • MECHENG 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 MECHENG 2P04  and registration in any Mechanical Engineering program
    Antirequisite(s): CIVENG 2C04  
  

  • MECHENG 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, Chemical Engineering or Materials Science and Engineering program, or, registration in Level III or IV of the Manufacturing Engineering Technology Co-op (B.Tech.)  program
    Cross-list(s): MANTECH 3MF3 
    This course is administered by the Department of Mechanical Engineering .
  

  • MECHENG 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 MECHENG 2P04 ; 2Q04  or, 2QA4  and 3A03 
    Antirequisite(s): MECHENG 3E04
  

  • MECHENG 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
  

  • MECHENG 3M03 A/B - 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): MECHENG 3M02
  

  • MECHENG 3O04 - Fluid Mechanics

    4 unit(s)
    Fluid properties and statics, conservation laws, applications of the continuity, momentum and energy equations, dimensional analysis and similarity, boundary layer flow, internal and external flows.
    Three lectures, one tutorial (two hours); first term
    Prerequisite(s): Both MATH 2M03 and 2MM3 (or 2M06), or both MATH 2Z03  and MATH 2ZZ3  , or both MECHENG 2P04  and 2Q04  ; and registration in any Mechanical Engineering program
    Antirequisite(s): CIVENG 2O04  
  

  • MECHENG 3R03 - Heat Transfer

    3 unit(s)
    Application of the laws of conduction, convection and radiation to problems in heat transfer. Steady and transient conduction in solids. Laminar and turbulent convection. Radiation heat transfer processes. Boiling and condensation heat transfer.
    Three lectures, one tutorial; second term
    Prerequisite(s): MATH 2M03 (or 2M06), or 2Z03 ; and MECHENG 2W04  
  

  • MECHENG 4B03 - Topics in Product Development

    3 unit(s)
    Case studies using modern product development methods, value engineering, product specification, rapid product development, lean design and continuous improvement. Product liability and robust design.
    Three lectures, one tutorial; second term
    Prerequisite(s): Registration in Level IV or above of any Mechanical Engineering or Mechatronics Engineering program
  

  • MECHENG 4BB3 - Biomechanics

    3 unit(s)
    Application of mechanical engineering principles to biomechanics problems including cellular biomechanics, hemodynamics, circulatory system, respiratory system, muscles and movement and skeletal biomechanics.
    Three lectures, one tutorial; first term
    Prerequisite(s): Registration in Level IV or above of any Engineering program
    Antirequisite(s): IBEHS 4B03  
  

  • MECHENG 4BF3 - Biofluid Mechanics Systems

    3 unit(s)
    The objective is to learn blood flow mechanics through the circulatory system and its subsystems. The course examines mechanics of circulation, mechanobiology and biomechanics of different components of circulatory system, in-vivo and in-vitro techniques and their medical applications.
    Three lectures, one tutorial; first term
    Prerequisite(s): Registration in Level IV or above of any Engineering program or Integrated Biomedical Engineering and Health Sciences (IBEHS) program
  

  • MECHENG 4C03 - Production Systems Engineering

    3 unit(s)
    Analytical tools to evaluate and design production systems to meet specified performance metrics. Quantitative and qualitative evaluation of production cells, flexible manufacturing systems and production lines.
    Three lectures; second term
    Prerequisite(s): Registration in Level IV or above of any Mechanical Engineering program or permission of the Department
  

  • MECHENG 4CC3 - Experimental and Computational Biomechanics

    3 unit(s)
    Introduction to experimental and computational biomechanics including biomechanical testing concepts and application of finite element methods in simulations of biomechanical structures/systems.
    Three lectures; second term
    Prerequisite(s): Registration in Level IV or above of any Mechanical Engineering or Integrated Biomedical Engineering and Health Sciences (IBEHS) program or permission of the Department
  

  • MECHENG 4D03 - Manufacturing Processes (Metal Removal)

    3 unit(s)
    Fundamentals of metal removing processes, including mechanics and tribological aspects of material removal. Application of theory to the practice of machining processes such as turning, milling, drilling and grinding.
    Three lectures; second term
    Prerequisite(s): MECHENG 3C03  and registration in any Level IV or above of any Mechanical Engineering program
  

  • MECHENG 4E03 - Microelectromechanical Systems (MEMS)

    3 unit(s)
    Introduction, microfabrication and micromachining fundamentals, scaling effects, mechanics and transduction at microscale, actuation and sensing methods - Electrostatic, piezoelectric, thermal, electromagnetic, resonant, tunneling and microfluidic techniques. Capacitative sensors, resonators, lab on chip devices, microfluidic devices, micromirrors, assembly techniques for MEMS, microsystem packaging.
    Three lectures; second term
    Prerequisite(s): Registration in Level IV or above of any Mechanical Engineering, Engineering Physics or Integrated Biomedical Engineering and Health Sciences (IBEHS) program or permission of the Department
  

  • MECHENG 4H03 - Mechatronics

    3 unit(s)
    Integration of mechanical engineering with electronics and computer control. Sensors, actuators (including pneumatic and hydraulic), modelling using building block and state space methods, model-based control, programming of PLCs with practical demonstrations.
    Three lectures; second term
    Prerequisite(s): MECHENG 4R03 , MECHTRON 3DX4 , ELECENG 3CL4  or SFWRENG 3DX4  and registration in any Mechanical Engineering, Mechatronics Engineering or Electrical Engineering program
  

  • MECHENG 4I03 - Noise Analysis and Control

    3 unit(s)
    Acoustic quantities; noise measurements and analysis; noise standards; sound generation, propagation, absorption, transmission; acoustic materials; noise control techniques; case studies.
    Three lectures; first term
    Prerequisite(s): MECHENG 4Q03 
  

  • MECHENG 4J03 - Introduction to Computational Fluid Mechanics and Heat Transfer

    3 unit(s)
    Computational Methods for Fluid Mechanics and Heat Transfer covering: concepts of modelling and numerical analysis, governing equations of thermo-fluid problems, finite difference discretization methods. Use of commercial computational software for solving thermo-fluid problems.
    Three lectures, one tutorial (one and one-half hours); second term
    Prerequisite(s): MECHENG 3O04  or 4S03 , and MECHENG 3F04  or ENGPHYS 2CE4, or permission of the Department
 

Page: 1 <- Back 10 … 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 -> 31