MODULE DESCRIPTION FORM
نموذج وصف المادة الدراسية
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Module Information معلومات المادة الدراسية |
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Module Title |
Differential Equations |
Module Delivery |
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Module Type |
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☒ Theory ☒ Lecture ☒ Lab ☐ Tutorial ☐ Practical ☐ Seminar |
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Module Code |
BOG1141 |
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ECTS Credits |
6 |
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SWL (hr/sem) |
150 |
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Module Level |
UGx11 UGII |
Semester of Delivery |
Four |
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Administering Department |
Oil and Gas Engineering |
College |
Oil and Gas Engineering |
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Module Leader |
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Module Leader’s Acad. Title |
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Module Leader’s Qualification |
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Module Tutor |
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Peer Reviewer Name |
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Scientific Committee Approval Date |
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Version Number |
1.0 |
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Relation with other Modules العلاقة مع المواد الدراسية الأخرى |
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Prerequisite module |
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Semester |
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Co-requisites module |
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Semester |
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Module Aims, Learning Outcomes and Indicative Contents أهداف المادة الدراسية ونتائج التعلم والمحتويات الإرشادية |
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Module Objectives أهداف المادة الدراسية
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To learn advance mathematical concepts.
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Module Learning Outcomes
مخرجات التعلم للمادة الدراسية |
After studying this course, the learners will be able to: - 48 1. Identify an ordinary differential equation and its order. 2. Develop fundamental skills of solving ordinary differential equations. 3. Classify ordinary differential equations into linear and nonlinear equations. 4. Develop differential equations to analyze and solve the engineering, social and other physical models. 5. Link practical application of petroleum engineering with differential equations. |
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Indicative Contents المحتويات الإرشادية |
First order and frst degree equations. The homogeneous diferential equations with constant coefficients. The methods of undetermined coefficients, reduction of order, and variation of parameters. The Cauchy-Euler equation. Series solutions. Systems of linear diferential equations. Applications
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Learning and Teaching Strategies استراتيجيات التعلم والتعليم |
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Strategies |
The main strategy for delivering this module is to foster active student engagement and enhance critical thinking skills. This will be accomplished through a combination of interactive classes, engaging tutorials, and hands-on activities. By incorporating simple experiments and sampling activities that capture students' interest, they will be encouraged to actively participate in their learning process, enabling them to develop a deeper understanding of the subject matter. |
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Student Workload (SWL) الحمل الدراسي للطالب محسوب لـ ١٥ اسبوعا |
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Structured SWL (h/sem) الحمل الدراسي المنتظم للطالب خلال الفصل |
58 |
Structured SWL (h/w) الحمل الدراسي المنتظم للطالب أسبوعيا |
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Unstructured SWL (h/sem) الحمل الدراسي غير المنتظم للطالب خلال الفصل |
92 |
Unstructured SWL (h/w) الحمل الدراسي غير المنتظم للطالب أسبوعيا |
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Total SWL (h/sem) الحمل الدراسي الكلي للطالب خلال الفصل |
150 |
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Module Evaluation تقييم المادة الدراسية |
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Time/Number |
Weight (Marks) |
Week Due |
Relevant Learning Outcome |
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Formative assessment |
Quizzes |
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10% (10) |
5 and 10 |
LO #1, #2 and #10, #11 |
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Assignments |
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10% (10) |
2 and 12 |
LO #3, #4 and #6, #7 |
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Projects / Lab. |
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10% (10) |
Continuous |
All |
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Report |
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10% (10) |
13 |
LO #5, #8 and #10 |
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Summative assessment |
Midterm Exam |
1hr |
10% (10) |
7 |
LO #1 - #7 |
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Final Exam |
2hr |
50% (50) |
16 |
All |
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Total assessment |
100% (100 Marks) |
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Delivery Plan (Weekly Syllabus) المنهاج الاسبوعي النظري |
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Week |
Material Covered |
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Week 1 |
First order and first degree equations |
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Week 2 |
Homogeneous differential equations with constant coefficients |
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Week 3 |
Methods of undetermined coefficients |
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Week 4 |
Reduction of order |
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Week 5 |
Variation of parameters |
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Week 6 |
Cauchy-Euler equation |
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Week 7 |
Series solutions |
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Week 8 |
Systems of linear differential equations |
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Week 9-15 |
Applications |
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Week 16 |
Preparatory week before the final Exam |
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Delivery Plan (Weekly Lab. Syllabus) المنهاج الاسبوعي للمختبر |
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Week |
Material Covered |
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Week 1 |
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Week 2 |
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Week 3 |
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Week 4 |
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Week 5 |
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Week 6 |
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Week 7 |
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Learning and Teaching Resources مصادر التعلم والتدريس |
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Text |
Available in the Library? |
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Required Texts |
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Recommended Texts |
a. Dennis G. Zill, Warren S Wright, “Differential equations with Boundary-Value Problems”, 8th Edition, Cengage Learning, 2012. b. John Warren Dettman,” Introduction To Linear Algebra And Differential Equations”, Mcgraw-Hill Kogakusha - Tokyo, 1974 c. Erwin Kreysizg, “Advanced Engineering Mathematics”, ISBN: 9780470458365 d. Schaum’s Outline Series, “Differential Equations” , ISBN: 0071611622 |
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Websites |
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Grading Scheme مخطط الدرجات |
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Group |
Grade |
التقدير |
Marks % |
Definition |
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Success Group (50 - 100) |
A - Excellent |
امتياز |
90 - 100 |
Outstanding Performance |
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B - Very Good |
جيد جدا |
80 - 89 |
Above average with some errors |
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C - Good |
جيد |
70 - 79 |
Sound work with notable errors |
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D - Satisfactory |
متوسط |
60 - 69 |
Fair but with major shortcomings |
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E - Sufficient |
مقبول |
50 - 59 |
Work meets minimum criteria |
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Fail Group (0 – 49) |
FX – Fail |
راسب (قيد المعالجة) |
(45-49) |
More work required but credit awarded |
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F – Fail |
راسب |
(0-44) |
Considerable amount of work required |
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Note: Marks Decimal places above or below 0.5 will be rounded to the higher or lower full mark (for example a mark of 54.5 will be rounded to 55, whereas a mark of 54.4 will be rounded to 54. The University has a policy NOT to condone "near-pass fails" so the only adjustment to marks awarded by the original marker(s) will be the automatic rounding outlined above. |
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