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Undergraduate Course Plans

Second year, Semester 1

Key Courses:

  • MATH2000 - Calculus and Linear Algebra II (offered in both semesters)

  • Topics include systems of ordinary differential equations, multiple integrals, vector spaces, eigenvalue problems.
  • MATH2301 - Linear and Abstract Algebra and Number Theory

  • Topics include theory of finite groups, rings and fields, abstract vector spaces over arbitrary fields, number theory.

Other Courses:

  • MATH2400 - Mathematical Analysis

  • Topics include limits and continuity, differential and integral calculus, convergence of sequences and series, Taylor series expansions.

Second year, Semester 2

Key Courses:

  • MATH2000 - Calculus and Linear Algebra II (offered in both semesters)

  • Topics include systems of ordinary differential equations, multiple integrals, vector spaces, eigenvalue problems.
  • MATH2100 - Applied Mathematical Analysis

  • Topics include Laplace transforms, Fourier series, phase plane analysis, stability of solutions, partial differential equations.
  • PHYS2100 - Dynamics, Chaos & Special Relativity

  • Topics include dynamics of a single particle, Lagrange's and Hamilton's equations of motion, principles of relativity, Lorentz transformations.
Other Courses:
  • MATH2200 - Scientific Computing and Numerical Analysis

  • Topics include numerical methods for solving nonlinear equations, linear systems, integration, differentiation and data fitting.
  • PHYS2041 - Quantum Physics

  • Topics include the uncertainty priciple, the Schrodinger equation, perturbation theory, the harmonic oscillator, the hydrogen atom, systems of identicle particles. This course does have a laboratory component.

Third/Fourth year, Semester 1

Key Courses:

  • MATH3101 - Bifurcation and Chaos

  • Topics include nonlinear ordinary differential equations, existence, stability and bifurcations of stationary points and periodic orbits.
  • MATH3401 - Complex Analysis

  • Topics include complex numbers, analytic functions, conformal mappings, power series and integration using residues.
Other Courses:
  • MATH3402 - Functional Analysis

  • Topics include metric spaces, elements of topology, compactness, completeness, normed, Banach & Hilbert spaces, Riesz representation theorem.

Third/Fourth year, Semester 2

Key Courses:

  • MATH3102 - Methods & Models of Applied Mathematics

  • Topics include heat conduction, fluid flow, potential theory
  • MATH3103 - Algebraic Methods of Mathematical Physics (offered in odd years)

  • Topics include Lie groups, Lie algebras, the theory of representations.
  • MATH4106 - Advanced Mathematical Methods and Models A (offered in even years)

  • Topics include integrable quantum systems, exact solutions of models, models for quantum tunneling, quantum magnets, superconductivity, boson gas.
Other Courses:
  • MATH4104 - Advanced Hamiltonian Dynamics & Chaos (offered in odd years)

  • Topics include classical chaos, mesasures of chaos, nonlinear quantum dynamics, nonlinear quantum maps.
  • MATH4105 - General Relativity (offered in even years)

  • Topics include pseudo-Riemannian spaces, tensors, covariant differentiation, geodesics and curvature.
  • PHYS3071 - Computational Physics

  • Topics include numerical solution of ordinary and partial differential equations as models for physical problems, producing reports using the LaTex environment.


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Last Updated: January 2013
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