Mathematical Methods 1

 MATHEMATICAL METHODS IN ECONOMICS–I 

1. Preliminaries 

Logic and proof techniques; sets and set operations; relations; functions and their properties; number systems.

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: characterizations, properties with respect to various operations and applications; differentiable functions: characterizations, properties with respect to various operations and applications; second and higher order derivatives: properties and applications.

3. Single-variable optimization 

Geometric properties of functions: convex functions, their characterizations and applications; local and global optima: geometric characterizations, characterizations using calculus and applications. 4. Integration of functions

5. Difference equations

Textbook: K. Sydsaeter and P. Hammond: Mathematics for Economic Analysis.

Plus Notes and Tutes