English | Español

# Try our Free Online Math Solver! Online Math Solver

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# CALCULUS FOR BUSINESS &amp; ECONOMICS

Chapter 3: APPLICATIONS OF THE DERIVATIVE (8 hours)
Outcomes: Students will make application of derivatives to curve sketching, and maximizing cost, revenue, and profit
in competitive and monopolistic markets.

 A B C D F N Demonstrate the ability to: Specific Competencies *3.1 Find the open intervals on which a function is increasing or decreasing. *3.2 Recognize the occurrence of relative extrema of functions and use the First- Derivative Test to find the relative extrema of functions. Find absolute extrema of continuous functions on a closed interval and minimum and maximum values of real -life models and interpret the results in context. *3.3 Determine the concavity and points of inflection of a graph. *3.4 Solve real -life optimization problems. *3.5 Solve business and economics optimization problems. Find the price elasticity of demand for demand functions and recognize basic business terms and formulas . *3.6 Determine vertical and horizontal asymptotes of a graph. *3.7 Analyze the graphs of functions and recognize the graphs of simple polynomial functions. *3.8 Use calculus to analyze the shape of the graph of a function.

Chapter 4: EXPONENTIAL AND LOGARITHMIC FUNCTIONS (8 hours)
Outcomes: Students will explore applications in compound interest, growth and decay, and management sciences
using exponential and logarithmic.

 A B C D F N Demonstrate the ability to: Specific Competencies *4.1 *4.2 Graph the exponential function f(x) = aX and graph the natural exponential function f(x) = eX *4.3 Calculate derivatives of exponential functions. *4.4 Graph the logarithmic function f(x) = In x and use it to solve exponential and logarithmic equations . *4.5 Calculate the derivatives of logarithmic functions *4.6 Solve exponential growth and decay applications.

Chapter 5: INTEGRATION AND ITS APPLICATIONS (8 hours)
Outcomes: Students will learn to use integration applications in real life such as demand function, vertical motion,
marginal propensity to consume, annuity, capital accumulation, consumer and producer surpluses and
Lorenz Curve.

 A B C D F N Demonstrate the ability to: Specific Competencies *5.1 Find the antiderivative F of a function – that is, F'(x) = f(x) *5.2 *5.3 Use the General Power Rule , Exponential Rule, and Log Rule to calculate antiderivatives. *5.4 *5.5 Evaluate definite integrals and apply the Fundamental Theorem of Calculus to find the area bounded by two graphs . *5.6 Use the Midpoint Rule to approximate definite integrals and use a symbolic integration utility to approximate definite integrals. *5.7 Use integration to find the volume of a solid of revolution.

Chapter 6: TECHNIQUES OF INTEGRATION (8 hours)
Outcomes: Students will learn to use the various integration techniques in many applications in real life such as
present and future value, health, consumer and producer surpluses, surveying and capitalized cost.

 A B C D F N Demonstrate the ability to: Specific Competencies *6.1 Find indefinite and definite integrals using integration by substitution . *6.2 Evaluate integrals by parts, by using partial fractions, and by using a table of integrals. Find the present value of future income. *6.3 Use partial fractions to find indefinite integrals. Use logistic growth functions to model real-life situations. *6.4 Use integration tables, reduction formulas , and complete the square to find indefinite integrals. *6.5 Use the Trapezoidal Rule and Simpson’s Rule to approximate definite integrals. *6.6 Evaluate improper integrals with infinite limits of integration and with infinite integrands.

Text Book: Contact the Bookstore for current textbook information.

References: None

Materials/Equip required: This course requires that the student furnish their own TI-83 or TI-83 PLUS
graphing calculator.

Attendance Policy: Students should adhere to the attendance policy discussed on the first day of class.

Max. Class Size: 25

Catalog Description: MTH4432 CALCULUS FOR BUSINESS AND ECONOMICS. 3 hrs. An
introduction to differentiation and integration with applications to analytic geometry, business and
economics. This course requires that the student furnish their own TI-83 or TI-83 PLUS graphing calculator.
Prerequisites: Minimum grade of C in MTH 4420 or a 23 ACT math score or satisfactory course placement
assessment scores.

Refer to the following policies: