COURSE SYLLABUS

Course Number: MATH1690

Course Title: CALCULUS WITH BUSINESS APPLICATIONS II

Credit Hours: 3

Prerequisites: MATH1680 or MATH1610

Corequisite:

Bulletin Description:

CALCULUS WITH BUSINESS APPLICATIONS 1I (3). Pr., MATH1680 or MATH1610. Probability, random variables, probability distributions. Further topics in calculus: integration, functions of several variables, applications to probability. Applications to business and related areas.

For students in the College of Business and not open, except by special permission of the Department of Mathematics, to students in engineering or to the mathematics or physics majors.

Objectives:

To further develop student mathematical and analytic skills. To develop student understanding of probability and probability distributions especially with regard to its applications in business. To present the more advanced concepts of calculus and its applications to business and related areas, in particular the study of integration, functions of several variables and the application of calculus to probability.

Course Content:

Sets and Counting [3 days]

Counting: Combinations and Permutations; Binomial Theorem.

Probability [8 days]

Introduction, Mathematical Probability, and Outcomes; Conditional Probability; Bayes' Theorem; Bernoulli Trials.

Probability Distributions [8 days]

Probability Distributions; Measures of Central Tendency; Measures of Dispersion; The Normal Distribution and its Approximation to the Binomial Distribution.

Integration [6 days]

Integration by parts; Integration using tables; Improper Integrals; Continuous Money Flow.

Probability and Calculus [5 days]

Continuous Probability Density Functions; Expected value and Variance; The Normal Distribution.

Functions of Several Variables [8 days]

Functions of Several Variables; Partial Derivatives; Extrema of Functions of Two Variables; Lagrange Multipliers.