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CJA/474 v9
Effective Practices for Managers and Supervisors
CJA/474 v9
Page 2 of 2
Effective Practices for Managers and Supervisors
Complete the chart detailing twenty (20) effective practices for
managers and supervisors.
Use any of the textbook readings from Weeks 1-5. At least three
examples should be from the Week 5 chapters.
The first chart shows two examples, including the general
category of the practice (i.e., communication, motivation,
conflict management, etc.), details, and source.
Number
Effective Practice
Category
Describe or Explain the Practice
Source in APA Format
Ex. 1
Teleconferencing
Communication
Teleconferencing, or videoconferencing, can improve the
efficiency of communication. It permits people at various
locations to come together via audio and/or video, saving time
and cost of meeting face-to-face.
Stojkovic, 2015, p. 120.
Ex. 2
Supervisory skills
Supervisory skills
Supervisors are more effective when they possess three types of
skills: technical (specialized knowledge or expertise), human
(the ability to work with and motivate people), and conceptual
(the ability to analyze and diagnose complex situations).
Stojkovic, 2015, p. 239.
Number
Effective Practice
Category
Describe or Explain the Practice
Source in APA Format
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Copyright 2019 by University of Phoenix. All rights reserved.
Copyright 2019 by University of Phoenix. All rights reserved.
functions/Functions Tasksheet.pdf
Sensitivity: Internal
Mathematical Software
Functio n s Tasksheet
https://uk.mathworks.com/help/matlab/matlab_prog/create-
functions-in-files.html
1) Write the following single variable functions as functions in
MATLAB
a. �(�) = sin⁡(2�2)
b. �(�) = √�2 + 400
c. ℎ(�) = tan(���(�))⁡⁡
2) Create functions for the following
a. (� ∘ � ∘ ℎ)(�) Composite function
b. �(�) + �(�) + ℎ(�) Addition
c. �(�) ⋅ �(�) ⋅ ℎ(�) Mutliplication
d. Evaluate these functions with � = 1
3) Write the following as multivariable functions in MATLAB
a. �(�, �) = �2 + �2
b. �(�, �) = 2��
c. ℎ(�, �, �) = �� + �2
d. Compute the following
i. �(3,4)
ii. √�(3,4)
iii. �(5,3)
4) We want to extend our knowledge a little further
Write functions for +, -, *, / and call them ‘add’, ‘subtract’,
‘multiply’, ‘divide’
Now use these functions to compute
3⁡ + ⁡2 ⋅ 6⁡ −
2
10
5) Write a function called fact which takes in a paramenter �
and returns �!
Please use a for loop, do not copy the example on the MATLAB
help guide
e.g. fact(5) should return 5! = 120
Advanced
1) Write a function my_trace to compute the trace of a matrix
2) Write a function my_sum to sum all the elements of a matrix
3) Write a function sum_rows to sum all the rows of a matrix,
note this should return back a row vector
4) Write a function to sum_cols sum the columns of a matrix,
note this should return back a column vector
5) Combine the functions in 3 and 4 into 1 function
sum_row_or_cols which takes an additional parameter
that let’s you choose to sum either columns or rows. 1 should
sum over columns, 2 should sum over rows.
i.e. you should call sum_row_or_cols(A,1) or
sum_row_or_cols(A,2)
https://uk.mathworks.com/help/matlab/matlab_prog/create-
functions-in-files.html
functions/Matrix trace and sum.pdf
Sensitivity: Internal
Matrix Trace and Sum
Sensitivity: Internal
� × � Matrix
� =
�11 �12 ⋯ �1�
�21 �22 ⋯ �2�
�31 �32 ⋯ �3�
⋮ ⋮ ⋮ ⋮
��1 ��2 ⋯ ���
e.g.,
� =
4 3 1 6
2 6 1 3
3 5 2 0
�� � = �
�=1
�
���
Is this valid?
Sensitivity: Internal
Trace
Valid for square matrices
� =
�21 �22 ⋯ �2�
�21 �22 ⋯ �2�
⋮ ⋮ ⋮ ⋮
��1 ��2 ⋯ ���
� =
4 3 1
2 6 1
3 5 2
�� � = �
�=1
�
���
This is known as the trace, what is this adding up?
The diagonal, here
�� � = 4 + 6 + 2 = 12
Sensitivity: Internal
Trace
� =
�11 �12 ⋯ �1�
�21 �22 ⋯ �2�
�31 �32 ⋯ �3�
⋮ ⋮ ⋮ ⋮
��1 ��2 ⋯ ���
�� � = �
�=1
�
��� = �11 + �22 + �33 + ⋯+ ���
It is adding up the main diagonal
Sensitivity: Internal
Trace
A = [1 2 3; 3 4 1; 4 3 4];
trace(A)
my_trace(A)
function t = my_trace(A)
t = 0
[m,n] = size(A)
for i=1:m
t = t + A(i,i)
end
end
Sensitivity: Internal
� × � Matrix
� =
�11 �12 ⋯ �1�
�21 �22 ⋯ �2�
�31 �32 ⋯ �3�
⋮ ⋮ ⋮ ⋮
��1 ��2 ⋯ ���
�
�=1
�
�
�=1
�
���
Is this valid?
What is it doing?
Sensitivity: Internal
� × � Matrix
� =
�11 �12 ⋯ �1�
�21 �22 ⋯ �2�
�31 �32 ⋯ �3�
⋮ ⋮ ⋮ ⋮
��1 ��2 ⋯ ���
�
�=1
�
�
�=1
�
��� = �
�=1
�
��1 + ��2 + ��3 …+ ���
First summing the rows, then summing these values.
It is adding all the elements of the matrix!
Sensitivity: Internal
Sum
A = [1 2 3; 3 4 1; 4 3 4];
sum(sum(A))
my_sum(A)
function s = my_sum(A)
s = 0
[m,n] = size(A)
for i=1:m
for j=1:n
s = s + A(i,j)
end
end
end
finite/1st Order ODES - annotated.pdf
Sensitivity: Internal
1st Order Ordinary
Differential Equations (ODES)
Sensitivity: Internal
Disclaimer
We are merely looking to get an idea of the topic, we are not
studying
this rigorously! For a proper introduction there are plenty of
online
resources or textbooks.
You will also see these throughout the course in more detail.
We just want an idea so that we can compare a numerical
method that
we are going to learn.
Sensitivity: Internal
What is a 1st Order Ordinary Differential
Equation (ODE)
An equation involving the independent
variable and the first derivative
��
��
+ 2� = � + 5
��
��
= �2
��
��
= 2�
Sensitivity: Internal
Solution
s to 1st Order Differential Equations
Find a function �(�) which solves the
following equations
��
��
= �2 (1)

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CJA474 v9Effective Practices for Managers and Supervisors CJA.docx

  • 1. CJA/474 v9 Effective Practices for Managers and Supervisors CJA/474 v9 Page 2 of 2 Effective Practices for Managers and Supervisors Complete the chart detailing twenty (20) effective practices for managers and supervisors. Use any of the textbook readings from Weeks 1-5. At least three examples should be from the Week 5 chapters. The first chart shows two examples, including the general category of the practice (i.e., communication, motivation, conflict management, etc.), details, and source. Number Effective Practice Category Describe or Explain the Practice Source in APA Format Ex. 1 Teleconferencing Communication Teleconferencing, or videoconferencing, can improve the efficiency of communication. It permits people at various locations to come together via audio and/or video, saving time and cost of meeting face-to-face. Stojkovic, 2015, p. 120. Ex. 2 Supervisory skills Supervisory skills Supervisors are more effective when they possess three types of skills: technical (specialized knowledge or expertise), human (the ability to work with and motivate people), and conceptual (the ability to analyze and diagnose complex situations). Stojkovic, 2015, p. 239.
  • 2. Number Effective Practice Category Describe or Explain the Practice Source in APA Format 1 2 3 4 5 6
  • 4. 15 16 17 18 19 20 Copyright 2019 by University of Phoenix. All rights reserved.
  • 5. Copyright 2019 by University of Phoenix. All rights reserved. functions/Functions Tasksheet.pdf Sensitivity: Internal Mathematical Software Functio n s Tasksheet https://uk.mathworks.com/help/matlab/matlab_prog/create- functions-in-files.html 1) Write the following single variable functions as functions in MATLAB a. �(�) = sin⁡(2�2) b. �(�) = √�2 + 400 c. ℎ(�) = tan(���(�))⁡⁡ 2) Create functions for the following a. (� ∘ � ∘ ℎ)(�) Composite function b. �(�) + �(�) + ℎ(�) Addition c. �(�) ⋅ �(�) ⋅ ℎ(�) Mutliplication d. Evaluate these functions with � = 1
  • 6. 3) Write the following as multivariable functions in MATLAB a. �(�, �) = �2 + �2 b. �(�, �) = 2�� c. ℎ(�, �, �) = �� + �2 d. Compute the following i. �(3,4) ii. √�(3,4) iii. �(5,3) 4) We want to extend our knowledge a little further Write functions for +, -, *, / and call them ‘add’, ‘subtract’, ‘multiply’, ‘divide’ Now use these functions to compute 3⁡ + ⁡2 ⋅ 6⁡ − 2 10 5) Write a function called fact which takes in a paramenter � and returns �! Please use a for loop, do not copy the example on the MATLAB
  • 7. help guide e.g. fact(5) should return 5! = 120 Advanced 1) Write a function my_trace to compute the trace of a matrix 2) Write a function my_sum to sum all the elements of a matrix 3) Write a function sum_rows to sum all the rows of a matrix, note this should return back a row vector 4) Write a function to sum_cols sum the columns of a matrix, note this should return back a column vector 5) Combine the functions in 3 and 4 into 1 function sum_row_or_cols which takes an additional parameter that let’s you choose to sum either columns or rows. 1 should sum over columns, 2 should sum over rows. i.e. you should call sum_row_or_cols(A,1) or sum_row_or_cols(A,2) https://uk.mathworks.com/help/matlab/matlab_prog/create- functions-in-files.html functions/Matrix trace and sum.pdf Sensitivity: Internal Matrix Trace and Sum
  • 8. Sensitivity: Internal � × � Matrix � = �11 �12 ⋯ �1� �21 �22 ⋯ �2� �31 �32 ⋯ �3� ⋮ ⋮ ⋮ ⋮ ��1 ��2 ⋯ ��� e.g., � = 4 3 1 6 2 6 1 3 3 5 2 0 �� � = � �=1 � ��� Is this valid? Sensitivity: Internal
  • 9. Trace Valid for square matrices � = �21 �22 ⋯ �2� �21 �22 ⋯ �2� ⋮ ⋮ ⋮ ⋮ ��1 ��2 ⋯ ��� � = 4 3 1 2 6 1 3 5 2 �� � = � �=1 � ��� This is known as the trace, what is this adding up? The diagonal, here �� � = 4 + 6 + 2 = 12 Sensitivity: Internal Trace � =
  • 10. �11 �12 ⋯ �1� �21 �22 ⋯ �2� �31 �32 ⋯ �3� ⋮ ⋮ ⋮ ⋮ ��1 ��2 ⋯ ��� �� � = � �=1 � ��� = �11 + �22 + �33 + ⋯+ ��� It is adding up the main diagonal Sensitivity: Internal Trace A = [1 2 3; 3 4 1; 4 3 4]; trace(A) my_trace(A) function t = my_trace(A) t = 0 [m,n] = size(A) for i=1:m
  • 11. t = t + A(i,i) end end Sensitivity: Internal � × � Matrix � = �11 �12 ⋯ �1� �21 �22 ⋯ �2� �31 �32 ⋯ �3� ⋮ ⋮ ⋮ ⋮ ��1 ��2 ⋯ ��� � �=1 � � �=1 � ���
  • 12. Is this valid? What is it doing? Sensitivity: Internal � × � Matrix � = �11 �12 ⋯ �1� �21 �22 ⋯ �2� �31 �32 ⋯ �3� ⋮ ⋮ ⋮ ⋮ ��1 ��2 ⋯ ��� � �=1 � � �=1 � ��� = � �=1 �
  • 13. ��1 + ��2 + ��3 …+ ��� First summing the rows, then summing these values. It is adding all the elements of the matrix! Sensitivity: Internal Sum A = [1 2 3; 3 4 1; 4 3 4]; sum(sum(A)) my_sum(A) function s = my_sum(A) s = 0 [m,n] = size(A) for i=1:m for j=1:n s = s + A(i,j) end end end
  • 14. finite/1st Order ODES - annotated.pdf Sensitivity: Internal 1st Order Ordinary Differential Equations (ODES) Sensitivity: Internal Disclaimer We are merely looking to get an idea of the topic, we are not studying this rigorously! For a proper introduction there are plenty of online resources or textbooks. You will also see these throughout the course in more detail. We just want an idea so that we can compare a numerical method that we are going to learn. Sensitivity: Internal What is a 1st Order Ordinary Differential Equation (ODE) An equation involving the independent
  • 15. variable and the first derivative �� �� + 2� = � + 5 �� �� = �2 �� �� = 2� Sensitivity: Internal Solution s to 1st Order Differential Equations Find a function �(�) which solves the following equations ��