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Zarqa University

Faculty of Engineering Technology Energy Engineering Department

Course Information

Nuclear Reactions (906410)

3 Credits Compulsory Fall 2016

Prerequisites by Course: : General Physics II(0300122)

Co-requisites by Course: Non

Prerequisites for: Nuclear Energy(0906411)

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 Basic Nuclear Engineering by A. Foster and J.wright(2005)

References and

Resources

Nuclear Reactor statics by K.Ott, and W.Bezella (2004)

Nuclear Reactor Analysis by Dudershtat (2007)

Evaluation Criteria Activity Percent (%)

Quizzes and Homework 10

First Exam 20

Second Exam 20

Final Exam 50

Course Description Energetic and kinetics of nuclear reactions and radioactive decay, fission, fusion,

and reactions of low-energy neutrons; properties of the fission products and the

actinides; nuclear models and transition probabilities; interaction of radiation

with matter

Course Outcome

Course Learning Outcome

1. Ability to know Atomic and Nuclear physics.

2. Ability to know atomic and nuclear interactions.

3. Ability to know radiation physic and radiation detection.

4. Deriving the equations of neutron interactions, nuclear cross

sections, and nuclear half lives.

5. Analyzing fission and fusion reactor physics

[%]

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: Introduction to atomic and nuclear physical 10

Chapter 2: Atomic structure 6

Chapter 3: Decay of radioactive nuclei 12

Chapter 4:Nuclear reactions

Exam1 (up to end of week 5)

12

Chapter5: Radiation Detection 6

Chapter 6: Health physics 6

Chapter 7: Neutron interactions

Exam2 (up to end of week 11)

10

Chapter8: Nuclear reactions 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


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







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


1. 𝑓 𝑥,𝑦 = 4𝑥 + 3𝑦2. What is

𝜕𝑓

𝜕𝑥 4, 3 ?

Policies


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







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


1. Compute < 1, 2, 3 >. < 4, 5, 6 >

Policies


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


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 >


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

Question

Number

1 2 3 4 5 6 7 8 9 10

Answer d a a d d c d c a d

B. Major 2 Solution

C. Final Exam Solution

=

\=

APPENDIX C: Quizzes Solution

A. Quiz 1 Solution

B. Quiz 2 Solution

C. Quiz 3 Solution

D. Quiz 4 Solution

∇ 𝑋 𝐵 = 𝑧 (sin𝜑 + 𝑟 𝑠𝑖𝑛 𝜑) (1/r)

APPENDIX D: Students Work Samples (Final Examination)

A. Good Sample

B. Average Sample

C. Poor Sample

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