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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) =
a^{X} and graph the natural exponential function f(x) = e^{X} 

*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 reallife 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 TI83 or TI83 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 TI83 or
TI83 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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