MATH 148 is an advanced-level version of MATH 138. [Offered: W] Prereq: MATH 147; Honours Mathematics students only. Antireq: MATH 118, 119, 128,...
Multivariable functions and partial derivatives. Gradients. Optimization including Lagrange multipliers. Polar coordinates. Multiple integrals....
Fourier series. Ordinary differential equations. Laplace transform. Applications to linear electrical systems. [Offered: F,W] Prereq: MATH 119; Not...
Ordinary differential equations with constant coefficients. Boundary value problems and applications to quantum mechanics. Laplace transforms, Fourier...
Triple integrals, cylindrical and spherical polar coordinates. Divergence and curl, applications. Surface integrals, Green's, Gauss' and Stokes'...
Gradient, Divergence and Curl: Applications. Line and Surface Integrals. Green's, Gauss', and Stokes' Theorems: Applications to electromagnetism and...
Fourier series. Differential equations. Laplace transforms. Applications to circuit analysis. [Offered: S] Prereq: MATH 119; Software Engineering...
Systems of linear equations; their representation with matrices and vectors; their generalization to linear transformations on abstract vector spaces;...
Curves and surfaces in R3. Multivariable functions, partial derivatives, the chain rule, gradients. Optimization, Lagrange Multipliers. Double and...
First order equations, second order linear equations with constant coefficients, series solutions, the Laplace transform method, systems of linear...
Vector spaces. Linear transformations and matrices. Inner products. Eigenvalues and eigenvectors. Diagonalization. Applications. [Offered: F,S] ...
Directional derivative and the chain rule for multivariable functions. Optimization, Lagrange multipliers. Double and triple integrals on simple...
First-order equations, second-order linear equations with constant coefficients, series solutions and special functions, the Laplace transform method....
Introduction to graph theory: colourings, connectivity, Eulerian tours, planarity. Introduction to combinatorial analysis: elementary counting,...
Orthogonal and unitary matrices and transformations. Orthogonal projections, Gram-Schmidt procedure, best approximations, least-squares. Inner...
Calculus of functions of several variables. Limits, continuity, differentiability, the chain rule. The gradient vector and the directional derivative....
Introduction to graph theory: colourings, matchings, connectivity, planarity. Introduction to combinatorial analysis: generating series, recurrence...
MATH 245 is an advanced-level version of MATH 235. [Offered: F,S] Prereq: MATH 146; Honours Mathematics students only. Antireq: MATH 225/126, 235
Topology of real n-dimensional space: completeness, closed and open sets, connectivity, compact sets, continuity, uniform continuity. Differential...
MATH 249 is an advanced-level version of MATH 239. [Offered: F,W] Prereq: (MATH 136 or 146) and (MATH 138 or 148); Honours Mathematics students only....