Discrete:
Basic concepts of set theory, symbolic logic, counting methods, permutations and combinations, discrete probability and elementary statistics, graphs, graph theory, Euler circuits, and trees. Lecture (45.00). Equivalent to MAT104.
Probability:
Discrete and continuous random variables and their probability distributions. Mathematical expectation and moments. Chebyshev’s Theorem, the Bernoulli, Poisson, Geometric, and Hyper-geometric distributions; the Uniform, Exponential, Gamma, Chi-Square, and Normal distribution. Multivariate probability distributions. Functions of random variables. Central Limit theorems. Lecture (45.00). Equivalent to MAT307, MAT415.
Analytic:
Families of sets, countable and uncountable sets, metric spaces, the space of continuous functions on a compact set, the Stone-Weirstrass theorem, measure and measurable functions, the Lebesgue Integral, and dominated and monotone convergence theorem, Lp Spaces. Lecture (45.00). Equivalent to MAT411.