Notes / Section 1
Engineering Mathematics
Propositional and first order logic
Propositional and first order logic.
Sets, relations, functions, partial orders and lattices
Sets, relations, functions, partial orders and lattices.
Monoids and groups
Monoids, groups.
Graph theory
Graphs: connectivity, matching, colouring.
Combinatorics
Counting, recurrence relations, generating functions.
Linear algebra
Matrices, determinants, system of linear equations, eigenvalues and eigenvectors, LU decomposition.
Calculus
Limits, continuity and differentiability, maxima and minima, mean value theorem, integration.
Probability and statistics
Random variables, uniform, normal, exponential, Poisson and binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem.