Calculus

This course introduces several important mathematics concepts used in business and economics. It covers: (1) function theory and elementary functions; (2) limits and derivatives; (3) applications of derivatives, related rate of change, optimization, extrema and approximation; (4) integration: definite integral and numerical integration; (5) applications of integrals and techniques of integration; (6) exponential and logarithmic functions and models used in business, economics and social sciences; (7) indeterminate forms; (8) infinite series with emphases on Maclaurin series, Taylor series and their applications; (9) functions of several variables: partial derivatives, extrema (without constraints), constrained optimization, and Lagrangeˇ¦s method.?