Introductory MME | Syllabus 

Unit 1 Preliminaries
Logic and proof techniques; sets and set operations; relations; functions and their properties; number systems

Unit 2 Functions of one real variable
Graphs; elementary types of functions: quadratic, polynomial, power, exponential, logarithmic; sequences and series: convergence, algebraic properties and applications;
Continuous functions: characterisations, properties with respect to various operations and applications;
Differentiable functions: characterisations, properties with respect to various operations and applications;
Second and higher order derivatives: properties and applications

Unit 3 Single-variable optimization
Geometric properties of functions: convex functions, their characterisations and applications; local and global optima: geometric and calculus-based characterisations, and applications


References Books
1. Sydsaeter, K., Hammond, P. (2002). Mathematics for economic analysis. Pearson Educational.

Keywords
Sets, functions, continuity, differentiability, vector space, linear mappings