CALCULUS WITH BUSINESS APPLICATIONS 1 (4). Pr., high school geometry, second year algebra. Calculus (derivatives, integrals, Fundamental Theorem) focused on business applications with introductory material on algebra (including exponential and logarithmic functions).

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.

Credit for MATH1610 or MATH1617 or MATH1710 precludes credit for MATH1680.

To develop student mathematical and analytic skills in algebra and calculus. To present the fundamental concepts of calculus. To develop student understanding and skills necessary for the applications of calculus to the study of business and related areas. Approximately the first fourth of the course is devoted to material on pre-calculus algebra including definitions and properties of logarithmic and exponential functions.

Operations with Algebraic Expressions; Factoring; Algebraic Fractions.

Solutions to Linear Equations in One Variable; Graphing with Linear Equations; Functions; Special Functions and Their Graphs; Applications of Functions in Business and Economics; Slope of a Line; Solutions of Systems of Linear Equations.

Quadratic Equations; Quadratic Functions: Parabola; Business Applications of Quadratic Functions.

Exponential Functions; Logarithmic Functions and Their Properties; Solutions of Exponential Equations; Applications.

Limits; Continuous Functions; Limits at Infinity; The Derivative: Rates of Change; Tangent to a Curve; Derivative Formulas; Product and Quotient Rules; The Chain Rule and Power Rule; Using Derivative Formulas; Higher-Order Derivatives; Applications of Derivatives in Business and Economics.

Relative Maxima and Minima; Curve Sketching; Concavity; Points of Inflection; Optimization in Business and Economics; Applications of Maxima and Minima; Asymptotes: More Curve Sketching.

Derivatives of Logarithmic Functions; Derivatives of Exponential Functions; Implicit Differentiation; Related Rates; Applications in Business and Economics.

The Indefinite Integral; The Power Rule; Integrals involving Logarithmic and Exponential Functions; Applications of the Indefinite Integral in Business and Economics.

Area Under a Curve; The Definite Integral; The Fundamental Theorem of Calculus; Area Between Two Curves; Applications of the Definite Integral in Business and Economics.