Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 3
Limits and the
Derivative
Section 4
The Derivative
(Part 1)
1
Learning Objectives for Section 3.4
The Derivative
Part One
The student will be able to:
Calculate slope of the secant
line.
Calculate average rate of
change.
Calculate slope of the t
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 3
Limits and the
Derivative
Section 2
Infinite Limits and
Limits at Infinity
(Part 1)
1
Objectives for Section 3.2
Infinite Limits and Limits at Infinity
The student will understand the concept of infinite limits.
The student will be able to calcu
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 3
Limits and the
Derivative
Section 7
Marginal Analysis in
Business and
Economics
1
Objectives for Section 3.7
Marginal Analysis
Students will be able to:
Compute marginal cost, revenue
and profit
Compute marginal average cost,
revenue and profit
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 3
Limits and the
Derivative
Section 3
Continuity
(Part 1)
1
Learning Objectives for Section 3.3
Continuity
The student will
understand the concept
of continuity
The student will be able
to apply the continuity
properties
The student will be able
t
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 3
Limits and the
Derivative
Section 5
Basic Differentiation
Properties
(Part 1)
1
Objectives for Section 3.5
Power Rule and Differentiation Properties
The student will be able to:
Calculate the derivative of a
constant function.
Apply the power ru
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 2
Functions and
Graphs
Section 4
Polynomial and
Rational Functions
1
Learning Objectives for Section 2.4
Polynomial and Rational Functions
The student will be able to graph and identify properties of
rational functions.
The student will be able to
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 2
Functions and
Graphs
Section 6
Logarithmic Functions
(Part I)
1
Learning Objectives for Section 2.6
Logarithmic Functions
The student will be able to:
Identify the graphs of onetoone functions.
Use and apply inverse functions.
Evaluate loga
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 2
Functions and
Graphs
Section 4
Polynomial and
Rational Functions
1
Learning Objectives for Section 2.4
Polynomial and Rational Functions
The student will be able to graph and identify properties of
polynomial functions.
The student will be able
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 3
Limits and the
Derivative
Section 7
Marginal Analysis in
Business and
Economics
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
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 3
Limits and the
Derivative
Section 1
Introduction to Limits
(Part 1)
1
Introduction to Calculus!
How do Algebra and Calculus differ?
Static vs. Dynamic
Algebra: solve equations for a particular value of a
variable (a static notion)
Calculus: st
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 2
Functions and
Graphs
Section 5
Exponential
Functions
1
Objectives for Section 2.5
Exponential Functions
The student will be able to:
Graph and identify the properties of exponential
functions
Solve exponential equations with the same base or
t
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 2
Functions and
Graphs
Section 2
Elementary
Functions: Graphs
and Transformations
1
Learning Objectives for Section 2.2
Elementary Functions;
Graphs and Transformations
The student will become familiar with a beginning library
of elementary functi
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 2
Functions and
Graphs
Section 1
Functions
1
Learning Objectives for Section 2.1
Functions
The student will be able to do pointbypoint plotting of
equations in two variables.
The student will be able to give and apply the definition of
a functio
Bülent Ecevit University  School of Maritime Business and Management
Mathematics
DIYYO 121

Spring 2015
Chapter 2
Functions and
Graphs
Section 3
Quadratic Functions
1
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 a