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.

This subject is designed to introduce the central content area of multivariable calculus and also differential equations for students taking mathematics majors and minors in the quantitative sciences.

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

An introductory study of pure and applied mathematics. Logic, sets and mappings, relations, algebraic systems, number systems. Elementary functions. Techniques and applications of differentiation and integration. Simple numerical methods. Vectors in 3D. Introduction to Mathematica.