Learning Objectives for Section 6.1
Antiderivatives and Indefinite Integrals
The student will be able to formulate
problems involving antiderivatives.
The student will be able to use the
formulas and properties of
antiderivatives and indefinite
integral
Objectives for Section 5.6
Optimization
The student will be able to
calculate:
Area and perimeter
Revenue and profit
Inventory control.
Barnett/Ziegler/Byleen Business Calculus
1
Area and Perimeter
Example 1
The techniques used to solve optimization pr
Measures of Central Tendency and
Dispersion
Reading Assignment
Chapter 3 pp 56- 60; 62 69; 71 - 79;
81 - 84
Chapter 4 pp 113 - 116
Statistical Techniques in Business and
Economic 14th edition.
By Lind, Marhal & Wathan
Menu
Central Tendency
Measures of Cen
Objectives for Section 6.5
Fundamental Theorem of Calculus
The student will be able to
evaluate definite integrals.
The student will be able to
calculate the average value
of a function using the
definite integral.
Barnett/Ziegler/Byleen Business Calcul
Learning Objectives for Section 6.2
Integration by Substitution
The student will be able to
integrate by reversing the
chain rule using integration
by substitution.
The student will be able to
use addition substitution
techniques.
The student will be a
Objectives for Section 5.2
Second Derivatives and Graphs
The student will be able to use
concavity as a graphing tool.
The student will be able to find
inflection points.
The student will be able to
analyze graphs and do curve
sketching.
The student w
Objectives for Section 5.5
Absolute Maxima and Minima
The student will be able
to identify absolute
maxima and minima.
The student will be able
to use the second
derivative test to classify
extrema.
Barnett/Ziegler/Byleen Business Calculus
1
Absolute Ma
Objectives for Section 5.1
First Derivative and Graphs
The student will be able to
identify increasing and
decreasing functions, and local
extrema.
The student will be able to apply
the first derivative test.
The student will be able to apply
the theor
Objectives for Section 3.7
Marginal Analysis
The student will be able to compute:
Marginal cost, revenue and profit
Marginal average cost, revenue and
profit
The student will be able to solve
applications
Barnett/Ziegler/Byleen Business Calculus
1
Marg
Learning Objective for Section 4.6
Related Rates
The student will be able to
solve related rate problems
and applications.
Barnett/Ziegler/Byleen Business Calculus
1
Introduction
Related rate problems involve three variables: an
independent variable (oft
Learning Objectives for Section 4.4
The Chain Rule
The student will be able to form the
composition of two functions.
The student will be able to apply the
general power rule.
The student will be able to apply the
chain rule.
Barnett/Ziegler/Byleen Bus
Learning Objectives for Section 4.5
Implicit Differentiation
The student will be able to
Use special functional
notation, and
Carry out implicit
differentiation.
Barnett/Ziegler/Byleen Business Calculus
1
Function Review and
New Notation
So far, the equ
Objectives for Section 4.2
Derivatives of Exp/Log Functions
The student will be able to
calculate the derivative of ex and
of ln x.
The student will be able to
compute the derivatives of other
logarithmic and exponential
functions.
The student will be
Objectives for Section 4.3
Derivatives of Products and Quotients
The student will be able to
calculate:
the derivative of a product of
two functions, and
the derivative of a quotient
of two functions.
Barnett/Ziegler/Byleen Business Calculus
1
Derivativ
Objectives for Section 2.4
Exponential Functions
The student will be able to graph and identify the
properties of exponential functions.
The student will be able to apply base e exponential
functions, including growth and decay applications.
The studen
Learning Objectives for Section 2.3
Quadratic Functions
The student will be able to identify and define quadratic
functions, equations, and inequalities.
The student will be able to identify and use properties of
quadratic functions and their graphs.
T
Objectives for Section 3.5
Power Rule and Differentiation Properties
The student will be able to
calculate the derivative of a
constant function.
The student will be able to apply
the power rule.
The student will be able to apply
the constant multiple
Learning Objectives for Section 3.4
The Derivative
The student will be able to
calculate rate of change and
slope of the tangent line.
The student will be able to
interpret the meaning of the
derivative.
The student will be able to
identify the nonexis
Learning Objectives for Section 2.5
Logarithmic Functions
The student will be able to use and apply inverse functions.
The student will be able to use and apply logarithmic
functions and properties of logarithmic functions.
The student will be able to