Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 7 Video 1
Omnichannel Journeys
The information / fulfillment matrix
Intro
In this module we cover what we call omnichannel journeys. These
are examples of decisions made by retailers to expand
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 5 Video 3
The Omnichannel Customer
Deciding the retailers value proposition
Intro
How can retailers define the value proposition they offer to their
customers in a competitive marketplace?
Es
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 6 Video 4
Fulfilling omnichannel demand
Handling product returns and importance of information
Intro
The share of orders that are placed online has been increasing during the last years.
Cust
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 8 Video 1
Supporting an omnichannel strategy
Enabling an omnichannel strategy
Intro
Developing an omnichannel strategy presents great opportunities in
terms of offering customers an appealing
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 8 Video 4
Supporting an omnichannel strategy
Measuring performance
Intro
Retailers expanding their omnichannel capabilities are often entering
uncharted territory.
We discuss how retailers ca
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 7 Video 4
Omnichannel Journeys
Towards omnichannel fulfillment
Intro
We now discuss journeys in the fulfillment direction.
We start by talking about some of the transitions made by traditiona
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 6 Video 1
Fulfilling omnichannel demand
Introduction
Intro
First we focused on perspective of the customers
Customers represent demand that retailers want to serve
Now we focus on how to fu
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 7 Video 3
Omnichannel Journeys
Online to offline information
Intro
We are going to discuss omnichannel journeys by which retailers that
were traditionally anchored as pureplay retailers start
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 6 Video 2
Fulfilling omnichannel demand
Designing a Distribution Network
Intro
Think about some of the products you have purchased this week.
How did you take possession of those products?
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Answer Key 1
MATH 20580: Introduction to Linear Algebra and Dierential Equations
Practice Final May 13, 2011
1. a
b
c
d
13. a
c
d
e
2. a
b
d
e
14. a
b
c
d
3. a
b
c
d
15. a
b
c
e
4. a
b
c
d
16. a
b
c
d
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Math 20580 practice exam 2, Spring 2011
()
()
2
3
1. Let S be the parallelogram determined by the vectors b1 =
, b2 =
and let
3
4
(
)
47
A=
. Compute the area of the images of S under the mapping v Av
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Whats a system of linear equations (Section 1.1)
An example from geometry: intersection of two lines
x2
x1
x1 2 x2 1
x1 3x2 3
Nonlinear equations:
or
or
x1 2 x2 x1 x2
x1 x1 x2
or
x1 sin( x2 ) x2
So
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
A review of vectors (Section 1.3)
Column vector:
3
u
1
2
v
5
3 2 5
uv
1 5 4
3 1.5
0.5u 0.5
1 0.5
Algebraic properties:
u v vu
c(u v) cv cu
(u v) w u (v w)
and more.
R2 vector set (space)
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Answer Key 1
MATH 20580: Introduction to Linear Algebra and Dierential Equations
Practice Exam 2 March 22, 2011
1. a
b
c
e
7. a
b
c
d
2.
b
c
d
e
8. a
c
d
e
3. a
b
d
e
9. a
b
c
e
4. a
c
d
e
10. a
b
d
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Answer Key 1
MATH 20580: Introduction to Linear Algebra and Dierential Equations
Practice Exam 3 April 21, 2011
1. a
b
d
e
7.
b
c
d
e
2. a
b
c
e
8. a
b
c
d
3. a
b
c
d
9. a
b
d
e
4. a
b
c
d
10. a
b
c
Introduction to Linear Algebra and Differential Equations
MATH 20580

Spring 2011
Module 5 Video 5
The Omnichannel Customer
Omnichannel data
Intro
Retailers have a wealth of data that they can use to make better decisions
In an omnichannel context, customers interact with the ret