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CALCULUS FOR BUSINESS & 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.

Grading Policy: Grading may vary according to the instructor.

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:
402.00 Academic Code of Conduct
263.00 Student Appeal of Course Grades
403.00 Student Code of Conduct

Disability Services Program:
Cowley College, in recognition of state and federal laws , will accommodate a student with a
documented disability. If a student has a disability which may impact work in this class which requires
accommodations, contact the Disability Services Coordinator.

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