National Commission for Academic Accreditation &
Assessment
Course Specification
Institution: Majmaa University
College/Department : College of Science – Alzulfi
A Course Identification and General Information
1. Course title and code: Vectors
Calculus
MATH 204
2. Credit hours : 3(2+1)
3. Program(s) in which the course is offered.
(If general elective available in many programs indicate this rather than list programs):
B.Sc. of Mathematics
4. Name of faculty member responsible for the course :
Mohammed Omer Mahgoub Mohammed
5. Level/year at which this course is offered : 4th level
6. Pre-requisites for this course (if any) : MATH 202
7. Co-requisites for this course (if any) : none
8. Location if not on main campus : AL-Zulfi complex
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B Objectives
1. Summary of the main learning outcomes for students enrolled in the course.
[1] to do the algebraic operations and the scalar and vector products in 2 – 3 D.
[2] to find equations of line and plane in 3 – D.
[3] to find the curvature and directional derivative
[4] to satisfy the theorems of Green, Gauss and Stokes.
2. Briefly describe any plans for developing and improving the course that are being
implemented. (eg increased use of IT or web based reference material, changes in
content as a result of new research in the field):
[1] follow up for new issues of books and references to use it in developing the course.
[2] encouraging the students for reading other references beside the appointed
textbook.
[3] using computer programmes to sketch the domain and the graph of the function and
the directional derivative.
C. Course Description (Note: General description in the form to be used for the Bulletin
or Handbook should be attached)
1 Topics to be Covered
List of Topics
Vectors in 2-3 D and scalar and vector products
No of Contac
Weeks t hours
1
3
Equations of line and plane in 3- D and surfaces of revolution
3
9
Real valued vector functions – the curvature -
2
6
The gradient of the function – the directional derivative
3
9
Vector fields – the divergence – the curl – the line and surface
integrals
3
9
Greens theorem in the plane – stokes theorem – Gauss divergence
theorem
3
9
2 Course components (total contact hours per semester):
2
Lecture: 30
Tutorial: 15
Laboratory
Practical/Field
work/Internshi
p
Other:
3. Additional private study/learning hours expected for students per week. (This should
be an average :for the semester not a specific requirement in each week):
6 hours / week for private study and revision and feedback and implementing HW
4. Development of Learning Outcomes in Domains of Learning
For each of the domains of learning shown below indicate:

A brief summary of the knowledge or skill the course is intended to develop;

A description of the teaching strategies to be used in the course to develop that
knowledge or skill;

The methods of student assessment to be used in the course to evaluate learning
outcomes in the domain concerned.
a. Knowledge
(i) Description of the knowledge to be acquired:
[1] the knowledge of the vector concept in 2 – 3 D.
[2] the knowledge of basic operations on vectors and scalar and vector product.
[3] the knowledge of applications on green, stokes and gauss theorems.
(ii) Teaching strategies to be used to develop that knowledge :
(1) Presenting the topic through the lectures
(2) Discussions through the lectures and browsing of solutions of ex- exams.
(3) H W
(4) private study
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(iii) Methods of assessment of knowledge acquired :
(1)
(2)
(3)
(4)
HW
Mid – term exams and final exam.
Quizzes
Class room discussion.
b. Cognitive Skills
(i) Description of cognitive skills to be developed:
(1) the ability in using Clairaut theorem to find partial derivatives
(2) the ability in using classic methods and computer programmes to sketch the graphs
And domains of the functions.
(ii) Teaching strategies to be used to develop these cognitive skills :
(1) Through lectures presentations
(2) Discussions through lectures
(3) H W
(4) Practical application in computer labs.
(5) Private study
(iii) Methods of assessment of students cognitive skills:
(1) H W follow up
(2) Quizzes
(3) Mid – term and final exams
(4) Questions delivering through lectures
c. Interpersonal Skills and Responsibility
(i) Description of the interpersonal skills and capacity to carry responsibility to be
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developed :
(1) learning the methods of scientific discussions through delivering questions and
answering.
(2) keeping self - performance in implementation of H W.
(ii) Teaching strategies to be used to develop these skills and abilities:
(1) Interaction with students within the lectures and encouraging them for
questioning.
(2) Encouraging the students for self – performance of H W and using the
references.
(iii) Methods of assessment of students interpersonal skills and capacity to carry
responsibility:
(1) The assessment of the faculty staff for the students performance through their
activities within lectures and tutorial hours.
(2) Following up the performance of the students in quizzes
(3) Keeping attendance for lectures and tests.
d. Communication, Information Technology and Numerical Skills
(i) Description of the skills to be developed in this domain.
(1) the ability for expressing the concept of the function by a series
(2) the ability of modelling the practical real- life problems.
(3) the ability of deal with real – life problems by using Green, Stokes and Gauss
theorems.
(ii) Teaching strategies to be used to develop these skills
(1) Lectures.
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(2) Classroom discussions
(3) H W , quizzes and tests
(iii) Methods of assessment of students numerical and communication skills:
Following up H W and making discussions about it.
e. Psychomotor Skills (if applicable)
(i) Description of the psychomotor skills to be developed and the level of performance
required
Not applicable
(ii) Teaching strategies to be used to develop these skills
Not applicable
(iii) Methods of assessment of students psychomotor skills
Not applicable.
5. Schedule of Assessment Tasks for Students During the Semester
Assess
ment
Assessment task (eg. essay, test, group project,
examination etc.)
1
Quiz 1
3
Proportion
of Final
Assessme
nt
5%
2
H W and presentations
5
10%
3
Mid – term 1
7
20%
4
Quiz 2
9
5%
6
Week due
5
Mid – term 2
13
20%
6
Final exam
16
40%
D. Student Support
1. Arrangements for availability of teaching staff for individual student consultations and
academic advice. (include amount of time teaching staff are expected to be available each
week)
[1] 8 office – hours distributed throughout the week and announced for students
[2] 5 academic guidance hours per week assigned from the academic guidance unit in the
Department.
E Learning Resources
1. Required Text(s) : calculus early transcendentals , James Stewart , 5th edition or
higher
2. Essential References
Calculus with analytic geometry , Larsen and Holster , 5th edition or higher
3- Recommended Books and Reference Material (Journals, Reports, etc) (Attach List)
(1) J.E. Marsden & A. J. Trumba : Vector Calculus, W. H. Freeman & company, 5th
edition (August 2003).
4-.Electronic Materials, Web Sites etc : some graphing softwares
5- Other learning material such as computer-based programs/CD, professional
standards/regulations:
Mathematical softwares like Matlab , Mathematica and Maple.
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F. Facilities Required
Indicate requirements for the course including size of classrooms and laboratories (ie
number of seats in classrooms and laboratories, extent of computer access etc.)
1. Accommodation (Lecture rooms, laboratories, etc.)
Classroom equipped with normal or interactive board extended for 25 students
2. Computing resources
One computer in the classroom
3. Other resources (specify --eg. If specific laboratory equipment is required, list
requirements or attach list)
Some computers in the lab ( preferred )
G Course Evaluation and Improvement Processes
1 Strategies for Obtaining Student Feedback on Effectiveness of Teaching
Trough the students questionnaire for the course assessment at the end of the term
2 Other Strategies for Evaluation of Teaching by the Instructor or by the Department
[1] analysis for the students questionnaire at the end of the term
[2] discussion for the notes of the course lecturers
[3] periodic revision for the course from the appointed committee in the department
3 Processes for Improvement of Teaching
[1] workshops in teaching and learning methods organized by skills development
deanship
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[2] discussing the teaching methods between the course lecturers in the beginning of
the term
4. Processes for Verifying Standards of Student Achievement (eg. check marking by an
independent member teaching staff of a sample of student work, periodic exchange
and remarking of tests or a sample of assignments with staff at another institution)
[1] check for a sample of assessing students answers in the final exam by the course
instructor or other faculty staff who had taught the course previously
[2] uniform exams and collective assessment in case of multi – sections.
5 Describe the planning arrangements for periodically reviewing course effectiveness
and planning for improvement.
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