Probability theory: population, sample spaces and events, counting, axioms of probability, conditional probability, Bayes' Theorem, discrete distributions, continuous distributions, joint distributions, expectation and decision making, random processes. Statistical inference: sampling distributions, point estimation, confidence interval, hypothesis testing, chi-square goodness-of-fit test. Introduction to regression analysis: linear regression. (Not for students who have taken ESTR2002 or ESTR2005 or ENGG2430.)

Complex analysis: analytic functions and Cauchy Riemann; complex integration, Cauchy principal value; elementary complex valued functions: exponential functions, Euler’s formula, trigonometric and hyperbolic functions, logarithm and general powers; power series, Taylor series and convergence tests. ODE: classification of differential equations; 1st order ordinary differential equations; 2nd order ordinary differential equations. Partial differential equations. (Not for students who have taken ENGG2460 or ESTR2000 or ESTR2010.)