An introductory unit in mathematical concepts and techniques. Topics include: logic, basic algebra, sets and probability, descriptive statistics, elementary functions, basic differentiation and integration, complex numbers and infinite series. Computer spreadsheet software and Mathematica are used to support topics where applicable .
Complex numbers and functions, complex differentiation and integration, Taylor and Laurent series, residue theorem, conformal mappings, asymptotic solutions of differential equations, gamma, zeta and elliptic functions briefly. Special functions and applications, Laplace transforms and applications, introduction to chaotic dynamical systems. Supportive use of Mathematica.