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Zarqa University
Faculty of Engineering Technology Energy Engineering Department
Course Information
Renewable Energy I (0906351 )
3 Credits Compulsory Fall 2016
Prerequisites by Course: Heat Transfer (905455)
Co-requisites by Course: None
Prerequisites for: none
Schedule: Lecture, 10:00-11:00, Sun, Tue, Thursday, L210
Instructor Dr. Ayman Amer
Contact Information [email protected], Office L111
Office hours 10:00-11:00, Sun, Tue, Thursday;
9:30-11:00, Mon, Wed; or by appointment.
Textbook Renewable Energy Systems by : D.Buchla and others , Pearson(2015)
References and
Resources
Energy Science (principles, technologies, and impacts) by : John Andrews and
Nick jelley , Oxford (2007)
Evaluation Criteria Activity Percent (%)
Quizzes and Homework 10
First Exam 20
Second Exam 20
Final Exam 50
Course Description Energy units and energy carriers, Energy sources, renewable energy sources:
Hydro- power energy generation. Geothermal Energy: Geothermal power plant,
Heat pumps, Planetary Energy: Tidal Energy. Solar Energy: solar spectrum,
photovoltaic Power, Solar thermal power, Biomass energy, wave energy power,
wind power. Electrical power systems concepts and grid integration techniques.
Course Outcome
Course Learning
Outcome
1. Ability to know physical meanings of renewable energy
systems.
2. Ability to know energy sources and environmental effects.
3. Ability to acknowledge the different types of renewable energy
system.
4. Relationship between physical, mathematics and engineering
aspects.
5. Design physical models of renewable energy systems based on
mathematics and engineering disciplines.
[%]
20%
20%
20%
20%
20%
Relationships to Program
Outcomes (a - k)
(a) An ability to apply knowledge of, mathematics, science, and engineering (H)
(e) An ability to identify, formulates, and solves engineering problems (M)
(k) An ability to use the techniques, skills, and modern engineering tools,
necessary for engineering practice (M)
Contribution to the
Professional Components
Mathematics and Basic Sciences 10%
Engineering Topics Engineering Sciences 90%
Engineering Design 0%
General Education 0.0
Course Outline Subject Hours
Chapter 1: Energy Sources and Environmental Effects 10
Chapter 2: Electrical Fundamentals 6
Chapter 3: Solar photovoltaic's 12
Chapter 4: Solar power system & Solar Tracking
Exam1 (up to end of week 5)
12
Chapter5: Charge Controllers and Inverters 6
Chapter 6: Wind Power System & Wind Turbine control 6
Chapter 7: Biomass Technologies
Exam2 (up to end of week 11)
10
Chapter8: Geothermal power generation 6
Review, Final Exam 3
Policies: Attendance
Attendance will be checked each class. Students are expected to attend each
lecture. University regulations will be strictly followed for students exceeding the
maximum number of absences.
Homework
- Homework assignments are due at the beginning of class the day they are
due.
- No late homework will be accepted unless prior arrangement have been made
with the instructor
- No make-up allowed on homework.
- You can consult each other regarding homework solution s however each
assignment must be your own solution. Verbatim or duplicates assignments
will be regarded as cheating.
Class participation and behavior
- Classroom participation is a part of learning; it is only by asking questions
and talking through ideas that you can come to fully understand the material.
- Please do not engage in behavior which detracts from the ability of other
students to learn. Such behaviors include arriving at class late, speaking or
whispering while the instructor and students are discussing ideas or asking
questions, reading messages newspapers in class, cell-phones ringing, etc.
Make-up exams
- Make-up exams will not be allowed, and they will be offered for valid
reasons only with consent of the Dean.
Make-up exams will be different from regular exams in content and format.
1.2 Keyword Matching with the Textbook
No. Keyword Ch./sec. in the text % Match
Coverage
Instructor
Notes
No. of
Pages
1 Three Dimensional Coordinate
Systems
12.1 70 % 5
2 Vectors
12.2 90 % 1
3 Dot Product
123 90 % 8
4 Cross Product 12.4 90 % 8
6 Lines and Planes
12.5 90 % 11
7 Vector Functions
13.1 70 % 7
9 Derivatives and Integrals
13.2 80% 6
10 Arc Length and Curvature
13.3 80% 9
12 Functions of Two or more Variables
14.1 70% 4
13 Partial Derivatives
14.3 90% 15
14 Tangent Planes
14.4 90% 9
15 The Chain Rule
14.5 100% 9
16 Directional Derivative and the
Gradient Vector
14.6 70% 13
17 Lagrange Multipliers 14.8 90 % 10
19 Double Integrals 15.1, 15.2, 15.3&
15.4
100% 40
20 Applications of Double Integrals:
Surface Area, Moments and Center
of Mass
15.5 &15.6 60% 14
21 Triple Integrals 15.7, 15.8 & 15.9 80 % 23
22 Curl and Divergence 16.5 70% 9
Justification:
No. Item Applicability (Level) * Notes
1 Language (clear, simple, …) v.good
2 Logical sequence of topics v.good
3 Material Coverage of Keywords v. good
4 Up-to-date topics coverage good
5 Up-to-date List of References good
6 Sufficient Examples and problem sets v. good
7 Sufficient Figures and tables v.good
8 Pages covered (around 280 pages) v. good Includes:
Examples
1.3 Course Calendar
Course Calendar and Course Learning Outcomes – Topics Mapping matrix
Topic
#
Topic Ref.
in the
Text
Lect.
Week
CLO
1 Vector and the Geometry of Space 1 1-4 1
2 Vector Functions 1 4-6 1
3 First Exam 7
4 Partial Derivatives 1 7-11 4
5 Second Exam 12
6 Multiple Integrals 1 12-15 5 , 4
7 Final Exam 16
DIVIDER 2
Direct Course Assessment Results
2.1 Direct CLOs Assessment Tools
The assessment of the CLO achievement is carried out as:
Major 1(1st Exam)
ajor 2(2nd Exam)
Quizzes
Final Exam
2.2 Assessment Analysis
The mapping of CLOs, course assessment tools and some related statistics are shown in the
following table:
Table 2.1: Mapping of Assessment Tools and CLOs with Statistics
2.3 Results of Direct CLOs Assessment Tools
Assessment tool Full
Mark
Wei
ght
% CLO
1
CLO
2
CLO
3
CLO
4
Major 1 (20)
Major 2
(20)
20 20
Q.1 20 20
Q.1 10 10
Q.2 5 5
Q.3 5 5
Quizzes
(10) 1 10 2.5
2 10 2.5
3 10 2.5
4 10 2.5
Final (50)
50 50
Q.1 30 30
Q.2 8 8
Q.3 6 6
Q.4 6 6
The average of each question in each exam, the average of each quiz, class CLO achievement
and the average of the class are computed and tabulated (see APPENDIX A) for all the 15
students in this course.
2.3.1Examinations
Table 2.2: The completed marks, the average obtained marks of the class in each question ofthe major and the
final exams with the addressed CLOs
Major 1 Major 2 Final Exam
Q1 Q1 Q2 Q3 Q1 Q2 Q3 Q4
Full Mark 20 10 5 5 30 8 6 6
Class CLO
Achievment
13.6 6.5 4.1 3.3 16.9 2.7 3 2.4
CLO 1,2 1,2,3 1,2,3 1,2,3 1,2,3,4 4 1,2,3 1,2,3
2.3.2 Quizzes
The students were given fourquizzes during the semester. 10 % of the final grade is weighted for
these four quizzes. Each quizis prepared in order to help the students to solve mathematical
problems and to encourage the students to work and be able to help each other if they had any
problem through this course.
In general, and referring to table 2.3 the performance of the students was good enough.
Table 2.3: The complete marks, the average obtained marks of the class in each quiz with the addresses CLOs
Quizzes
Q1 Q2 Q3 Q4
Full Mark 10 10 10 10
Weight 2.5 2.5 2.5 2.5
Class CLO
Achievment
1.8 1.9 1.7 1.7
CLO 1 1, 2 1, 3 1, 3
2.4 CLOs Assessment and Improvement Report
Figure 1: CLO’s Achievment
All outcomes are assessed throughout the semester using various assessment tools as given in the
previous tables. The overall percentage student's achievment of the CLO's are given in Figure 1. It
can be seen that the most of outcomes achievments is between 66 % and 67% .However , we can see
that the student's achievment of the course was good.
2.5 Conclusion and Recommendations
The students should study on both lecture notes that are provided after each class and the
course text book. However, students preferred the notes more than the textbook but this is not
enough to understand all the course topics.
According to their work during the semester, some of the students has problems in
understanding the geometry of space in three dimensional coordinates system and this can be
solved by teaching them more examples during the class.
All the CLO's had been achieved with different relative percentages.
From the previous results, I will recommend the following:
The background of the students in mathematics is good, but they need to be given more
exersices and homeworks.
More effort must be done to encourage the students to read from other resources.
DIVIDER 3
Assessment Material
3.1 Major 1 Exam
Zarqa University
Faculty of Engineering Technology
Electrical Engineering Department
Exam/Quiz Course Number and Name: Engineering Mathematics (0904201) Semester, Academic Year: 2nd, 2015/2016
Instructor: Eng. Rasha Al-Bzoor
Student Name Program Bachelor degree
Registration Number Section 1
Exam
First X Second Final Quiz
Day Mon Date 5/04/2016 Time 12:00-1:00
Place 210L Mark 20% Weight 20%
Question Points CLO,s Grade
Q1 20 1, 2
Total Points
Best Wishes
Question 1: Select the best answer for each of the following:
Policies
This is closed book closed notes exam
1. What are the center and the radius of the circle whose equation is
(x – 5)2 + (y + 3)2 = 16?
a) (−5, 3) and 16
b) (5,−3) and 16
c) (−5, 3) and 4
d) (5,−3) and 4
e) What is an equation of circle O shown in the graph?
a) (x + 1)2 + (y − 3)2 = 25
b) (x + 1)2 + (y − 3)2 = 5
c) (x + 5)2 + (y − 6)2 = 25
d) (x − 1)2 + (y + 3)2 = 5
e)
3. Find the distance between the point (−1,−1,−1) and the plane𝑥 + 2𝑦 + 2𝑧 − 1 = 0.
a) 2
b) 6
c) -2
d) -6
4. What is the distance from the point 𝑃(3,−3, 4) to the x-axis?
a) 0
b) 3
c) 4
d) 5
5. Which of the following equations describes a plane parallel to 2𝑥 − 𝑦 + 4𝑧 + 4 = 0?
a) x − y + z + 2 = 0.
b) y = 2(x + z).
c) 2x 2 − y 2 + 4z 2 + 4 = 0 .
d) −x + 05 y − 2z = 0 .
6. What is the scalar projection of < −6, 1, 7 > ontoi + 4j − 2 k ?
a) 16/√21
b) 16/√86
c) −16/√21
d) −16/√86
7. The lines < 1 + 3𝑡,−1, 4 − 3 > and < 1 + 𝑡, 1 − 𝑡, 2 > intersect in the point (3,−1, 2).
What is the angle between the two lines?
a) 0
b) π/6
c) π/4
d) π/3
8. Which of the following equations describes a sphere of radius 3?
a) 3x2 + 3y2 + 3z2 = 0
b) x2 − y2 + 9 = z2
c) x2 + y2 + z2 − 2x + 4z = 4
d) None of the above
9. Whichofthefollowing expressionsismeaningful?
a) 𝑎 + 𝑏 . (𝑎 X𝑐 )
b) 𝑎 . 𝑏 + 𝑐
c) 𝑎 . 𝑏 . 𝑐
d) None of the above
10. Find the arc length of the curve given by 𝑟 𝑡 = < 2𝑡√𝑡, 𝑐𝑜𝑠(3𝑡), 𝑠𝑖𝑛(3𝑡) >, 0 ≤ 𝑡 ≤
3.
a) 2
b) 6
c) 10
d) 14
3.2 Major 2 Exam
Zarqa University
Faculty of Engineering Technology
Electrical Engineering Department
Exam/Quiz Course Number and Name: Engineering Mathematics (0904201) Semester, Academic Year: 2nd, 2015/2016
Instructor: Eng. Rasha Al-Bzoor
Student Name Program Bachelor degree
Registration Number Section 1
Exam
First Second X Final Quiz
Day Mon Date 3/05/2016 Time 12:00-1:00
Place 210L Mark 20% Weight 20%
Question Points CLO,s Grade
Q1 10 1, 2, 3
Q2 5 1, 2, 3
Q3 5 1, 2, 3
Total Points
Best Wishes
Question 1: Select the best answer for each of the following:
1. 𝑓 𝑥,𝑦 = 4𝑥 + 3𝑦2. What is
𝜕𝑓
𝜕𝑥 4, 3 ?
Policies
This is closed book closed notes exam
a) 0.1
b) 0.3
c) 0.4
d) 0.5
2. 𝑥𝑦2𝑧3 + 𝑥3𝑦2𝑧 + 1 = 𝑥 + 𝑦 + 𝑧. Find 𝜕𝑧
𝜕𝑥at (1, 1, 1).
a) -1
b) -2
c) 1
d) 2
3. 𝑢 = 𝑥𝑦 + 𝑦𝑧 + 𝑧𝑥, 𝑥 = 𝑠𝑡,𝑦 = 𝑒𝑠𝑡 , 𝑧 = 𝑡2 . Find 𝜕𝑢
𝜕𝑡at 𝑠 = 0, 𝑡 = 1.
a) 2
b) 4
c) -2
d) -4
4. 𝑧 = 𝑓 𝑥 𝑔 𝑥 . If𝑓 0 = 1, 𝑔 0 = 2, 𝑓 ′ 0 = 3,𝑔′ 0 = 4 .What is𝑧𝑥 + 𝑧𝑦𝑎𝑡 (0, 0 )?
a) 1
b) 5
c) 10
d) 6
5. 𝑧 = 𝑓 𝑥𝑦 . Suppose 𝑓 ′ 1 =1
3. Find
𝜕𝑧
𝜕𝑥 at
1
3, 3 .
a) 1
b) 6
c) 3
d) 4
Question 2:
a) Find the unit tangent vector, the unit normal vector and the binormal vector for the curve
𝑟 𝑡 =< 𝑡, 3 cos 𝑡 , 3 sin 𝑡 >
b) Find the equation for the osculating plane to the curve when 𝑡 = 𝜋/2.
Question 3:
Let 𝑓 𝑥,𝑦, 𝑧 = 𝑥𝑒2𝑦𝑧 .
a) Find ∇𝑓 .
b) Find the rate of change of f at (3,2,0) in the direction of<2
3,−
2
3,
1
3>.
3.3 Final Exam
Zarqa University
Faculty of Engineering Technology
Electrical Engineering Department
Exam/Quiz Course Number and Name: Engineering Mathematics (0904201) Semester, Academic Year: 2nd, 2015/2016
Instructor: Eng. Rasha Al-Bzoor
Student Name Program Bachelor degree
Registration Number Section 1
Exam
First Second Final X Quiz
Day Sun Date 5/06/2016 Time 1:30-3:30
Place 415 Mark 50 Weight 50%
Best Wishes
Question 1: Select the best answer for each of the following:
1. Compute < 1, 2, 3 >. < 4, 5, 6 >
Policies
This is closed book closed notes exam
Question Points CLO’s Grade
Q1 30 1, 2, 3,4
Q2 8 4
Q3 6 1, 2, 3
Q4 6 1, 2, 3
a) 4
b) 8
c) 20
d) 32
2. Let 𝐹 𝑥,𝑦, 𝑧 =< 𝑥,𝑦,𝑥𝑦 >. Compute 𝑐𝑢𝑟𝑙 𝐹.
a) < 𝑥,−𝑦, 0 >
b) < 0, 0, 𝑥𝑦 >
c) (𝑥,−𝑦, 0)
d) 0, 0, 𝑥𝑦
3. One of the diameters of a sphere𝑆 has endpoints (5, 3, 7) and (−1, 3,−1). Find an equation
for 𝑆.
a) (𝑥 + 1)2 + (𝑦− 3)2 + (𝑧 + 1)2 = 100
b) (𝑥 − 2)2 + (𝑦− 3)2 + (𝑧 − 3)2 = 25
c) (𝑥 − 5)2 + (𝑦− 3)2 + (𝑧 − 7)2 = 25
d) 𝑥 − 2 2 + 𝑦 − 3 2 + 𝑧 − 3 2 = 100
4. Write the equation 𝑧 = 𝑥2 + 𝑦2 in spherical coordinates.
a) 𝜌2 = cos𝜑
b) 𝜌𝑠𝑖𝑛2𝜑 = 𝑐𝑜𝑠𝜑
c) 𝜌 sin𝜗 tan𝜑 = 0
d) None of the above
5. Convert the point given by the cylindrical coordinates (4,𝜋
3,−1) to rectangular (Cartesian)
coordinates.
a) (1,√3,1)
b) √2,√2,−1
c) (2,2√3,−1)
d) 3,1,1
7. Find the domain of 𝑓 𝑥, 𝑦 = √𝑥−𝑦
𝑥+𝑦.
a) 𝑥,𝑦 𝑥 ≠ −𝑦,𝑥 ≥ 𝑦
b) 𝑥,𝑦 𝑥 ≠ −𝑦,𝑥 > 𝑦
c) 𝑥,𝑦 𝑥 ≠ −𝑦
d) 𝑥,𝑦 𝑥 ≥ 𝑦
8. Let 𝑎 =< 2, 3, 1 >,𝑏 =< −2, 5,−3 >, find |𝑎 + 𝑏| .
a) √68
b) √40
c) 7
d) 5
9. Calculate the divergence of <5𝑥2 + 3𝑦𝑧, 7𝑦2 + 2𝑥𝑧, 3𝑧2 + 3𝑥𝑦>.
a) −2𝑥 − 3𝑦 − 3𝑧
b) 𝑥 − 𝑧
c) 10𝑥 + 14𝑦 + 6𝑧
d) 0
10. Find the constant 𝐾 such that 𝐾 𝑑𝐴 = 233 where D is the disk 𝐷 = { 𝑥,𝑦 : 𝑥2 + 𝑦2 ≤
233
a) 233
b) 𝜋
c) 1/𝜋
d) 233/𝜋
11. If 𝑧 = (3𝑥 − 7𝑦)2007 , where 𝑥 = 2 cos 𝑡and 𝑦 = (𝑡 + 1)2, then𝑑𝑧
𝑑𝑡= 2007 ∗ 𝑎 at 𝑡 =
0. Find 𝑎.
a) -14
b) -20
c) 0
d) -7
12. Let 𝑓 𝑥, 𝑦 = 𝑥2 cos𝜋𝑦 − ln 2𝑥𝑦. Find 𝑓𝑥 2, 3 + 𝑓𝑦 2,3 .
a) −29/6
b) −26/6
c) 0
d) −1/3
13. Let 𝑧 = 4 + 𝑥3 + 𝑦3 − 3𝑥𝑦. Which of the following statement are true?
I. (0, 0) is a saddle point
II. (1,1) is local maximum
III. (2,4) is local minimum
a) Only I
b) Only II
c) Only III
d) None of them
14. Which of the following is the equation of a line that lies in both the planes
𝑥 − 3𝑦 + 2𝑧 = 2 and 𝑥 + 𝑦 = 0
a) < 1 − 𝑡, 3 + 𝑡, 2 + 2𝑡 >
b) < 𝑡,−𝑡, 1 − 2𝑡 >
c) < 1 + 2𝑡, 1 − 6𝑡, 4𝑡 >
d) None of the above
15. Find 5 𝑥2 + 𝑦2 + 𝑧2 𝑑𝑉, where B is the unit ball 𝑥2 + 𝑦2 + 𝑧2 ≤ 1.
a) 𝜋
b) 2𝜋
c) 3𝜋
d) 4𝜋
Question 2:
Find the mass and center of mass of a triangle lamina with vertices (0, 0), (1, 0), and (0, 2) as
shown below if the density function is 𝜌 𝑥,𝑦 = 1 + 3𝑥 + 𝑦.
Question 3:
Find the equation of the tangent plane and the normal line at the point (-2, 1, -3) to the ellipsoid
𝑥2
4+ 𝑦2 +
𝑧2
9= 3
Question 4:
Let
𝐹 𝑥,𝑦, 𝑧 =−𝑐𝑟
𝑟 3 , 𝑓 𝑥,𝑦, 𝑧 =
𝑐
𝑥2+𝑦2+𝑧2where𝑟 =< 𝑥, 𝑦, 𝑧 >
show that 𝐹 = ∇𝑓
3.4 Quizzes
3.4.1 Quiz 1
Let 𝑢 = −3𝑖 + 3𝑗 + 3𝑘 and 𝑣 = 3𝑖 − 2𝑗 − 𝑘 .
a) Compute 𝑢 X𝑣 .
b) Show that 𝑢 X𝑣 is ortogonal to both 𝑢 and 𝑣 .
3.4.2 Quiz 2
For the motion of a particle whose position at time t is given by:
𝑟 𝑡 = 2 cos 𝑡 𝑖 + 3 sin 𝑡 𝑗 + 4𝑡𝑘
Show how to compute:
a) The velocity vector, 𝑽(𝑡).
b) The acceleration vector, 𝒂(𝑡).
c) The speed, 𝑣(𝑡).
d) The unit tangent vector, 𝑻(𝑡).
3.4.3 Quiz 3
Given
𝑥3𝑧2 − 5𝑥𝑦5𝑧 = 𝑥2 + 𝑦3
Find 𝜕𝑦/𝜕𝑥 .
3.4.4 Quiz 4
Find the curl of 𝐵 = 𝑟 cos𝜑 + 𝜑 sin𝜑.
DIVIDER 4
Appendix A: Results
The following tables show the details of students grade in major 1, major 2, quizzes and final
exam.
Table 4.1: The details of student's grade in major 1, major 2, quizzes and final exam.
Appendix B: Exams Solution
A. Major 1 Solution
D. Quiz 4 Solution
∇ 𝑋 𝐵 = 𝑧 (sin𝜑 + 𝑟 𝑠𝑖𝑛 𝜑) (1/r)
APPENDIX D: Students Work Samples (Final Examination)
A. Good Sample