This is the second unit in a sequence of introductory pure and applied mathematics. It comprises linear
algebra, integration, infinite series, complex numbers, analytic geometry, and differential equations.
Applications of Mathematica are included.

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.