Linear functions and their graphs; Quadratic, exponential, and multivariate economics; The difference quotient, limits, and the derivative; Differentiation rules; Optimization using calculus; Higher order derivatives and their application; Single variable business and economic models; Partial derivatives; Multivariate business models; Integral calculus; Methods of integration; Application of integral calculus.
Sets; Functions and systems of equations; Matrices and matrix algebra; Additional elements of matrix algebra; Linear programming; The simplex method; Duality and sensitivity analysis; The transportation and assignment problems; Integer programming.
Appropriate for Math Methods in Business, Managerial Decision Making, and Operations Research business classes. Also good in Matrix Theory/Linear Programming courses at the undergraduate and graduate level. Provides applications and problem solving strategies covering fundamental calculus techniques (single and multivariate), matrix algebra, linear programming, math of finance, probability, and probability functions.