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Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.
There are two separate branches of finance that require advanced quantitative techniques: derivatives pricing, and risk and portfolio management. One of the main differences is that they use different probabilities such as the risk-neutral probability (or arbitrage-pricing probability), denoted by "Q", and the actual (or actuarial) probability ...
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.
Where mathematical economics is not a degree requirement, graduate economics programs often include "quantitative techniques", which covers (applied) linear algebra, multivariate calculus, and optimization, and may include dynamical systems and analysis; [9] regardless, econometrics is usually a separate course, and is dealt with in depth.
Multivariable calculus is used in many fields of natural and social science and engineering to model and study high-dimensional systems that exhibit deterministic behavior. In economics, for example, consumer choice over a variety of goods, and producer choice over various inputs to use and outputs to produce, are modeled with multivariate ...
The program is usually one to one and a half years in duration, and may include a thesis component. Entrance requirements are generally multivariable calculus, linear algebra, differential equations and some exposure to computer programming (usually C++); [3] programs emphasizing financial mathematics may require some background in measure theory.
The programs require a bachelor's degree prior to admission, but do not (usually) require an undergraduate major in finance or economics; a typical requirement is exposure to (multivariable) calculus and differential equations, statistics and probability theory, and linear algebra.
A Bachelor of Economics (BEc or BEcon) [1] [2] is an academic degree awarded to students who have completed undergraduate studies in economics. Specialized economics degrees are also offered as a "tagged" BA (Econ), BS (Econ) / BSc (Econ), BCom (Econ), and BSocSc (Econ), or variants such as the "Bachelor of Economic Science". [3]