This course introduces to students the mathematical tools generally used in economic theory and other economic courses. It aims to deliver students a rigorous knowledge on mathematical techniques and their economic applications. This course will cover topics such as matrices, elementary linear algebra, numerical approximation, partial differentiation, unconstrained optimization, optimization with equality constraints, first- and second-order linear difference equations as well as comparative statics.

Upon successful completion of this course, students will be able to: 1. Gain familiarity with a number of mathematical techniques in linear algebra which are very commonly used in a number of economic applications; 2. Apply differentiation techniques in solving nonlinear equations and doing some numerical approximations; 3. Use partial derivatives to solve applied optimization problems which involve functions with two (independent) variables or more; 4. Use Lagrange-Multiplier method to solve applied optimization problems with equality constraints and these problems may involve two or more (independent) variables; 5. Apply the techniques of difference equations in solving the Cobweb model and in analyzing the time path of its solutions.