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Course Criteria
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3.00 Credits
Hypothesis testing, confidence intervals, regression analysis, correlation, t-distribution, time series analysis, analysis of variance, F-distribution. (See STA 2462.)
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3.00 Credits
Classification of queues; systems without memory; systems with losses; queues as birth-and-death processes; embedded Markov chains; networks; diffusion and Monte Carlo approximations.
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3.00 Credits
Prerequisites: MAT 2461, MAT 2462.
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0.00 - 3.00 Credits
Classification of differential equations; existence and uniqueness of solutions; initial-value problems, boundary value problems; power series methods, integral transforms; numerical algorithms and error estimation; topological methods.
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3.00 Credits
No course description available.
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3.00 Credits
Solution of parabolic, hyperbolic, and elliptic equations; initial and boundary value problems arising in physical situations such as heat conduction, wave propagation and gravitational potential; method of characteristics, separation of variables, Laplace and Fourier transforms.
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3.00 Credits
Computer-assisted analysis of differential and integral equations; applications of polynomial interpolation and numerical linear algebra to differential equations; error estimation, rates of convergence, extrapolation, multistep and implicit methods, stability, stiffness, ill-posed problems, chaos, and difference methods. Special attention is given to the analysis of boundary value problems by finite-element methods.
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3.00 Credits
Embedded hypersurfaces; metrics, connections, and curvature; hyperbolic and spherical geometries; projective geometries; algebraic curves; applications to physics.
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3.00 Credits
Discrete models for options, pricing derivatives, continuous stock price models, Brownian motion, the Black-Scholes,formula, the Black-Scholes differential equation, hedging options, dynamic programming, bond price models, yield curves, forwards and futures, Keynes interest rate parity formula.
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3.00 Credits
The course emphasizes the modelling and analysis of real-world problems.
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